Mathematics Questions and Answers December 02, 2020

Suppose we can use Fubini Theorem in the following cases. (a) Evaluate / ex dx. R (b) Let x = (x1, . . . , In). Evaluate e-(x dx JRn (c) Let x = (X1, . . . ,In). Evaluate x;e * dx for i = 1, 2, . . . , n. Rn

Question 13 Find the derivative of f (y) = 12 4/ y 8 points In(y) Enclose arguments of functions, numerators, and denominators in parentheses. For example, sin (2x) or (a - b)/ (1 + n). Include a multiplication sign between symbols. For example, a . J. va kin (a) In f' (y) = In Show your work and explain, in your own words, how you arrived at your

Math 254 - Written Homework 6 Page 4 of 5 (4) Consider the surface S : z = 4x2 + y? + 1. Suppose you are walking on S directly above the curve C given by C : x(t) = cost, y(t) = sint, Outs 2 T. Find the values of t for which you are walking uphill (increasing z)

You can retry this question below The MMS magnitude M of an earthquake with energy S is given by the formula M = log S So Earthquake A had an MMS magnitude of 4.8 and Earthquake B had an MMS magnitude of 6.8. How many times more energy was released in Earthquake B than in Earthquake A? Round your answer to the nearest whole number. Answer: The

During a storm, the water level in a circular retention pond rises at a rate of 1 ft/ hr. If the pond has a radius of 50 ft, what is the rate of flow of water into the pond in cubic feet? lOOOH 1500H 2500K SOOOH 7500K

. Question 20 2 pts 1 0 Details Let a = and b =. Find a . b. Question Help: ) Message instructor Question 21 4 pts 9 1 0 Details sin? (t) Simplify to an expression involving a single trig function with no fractions. 1 - sin (t) If needed, enter squared trigonometric expressions using the following notation. Example: Enter sin (t) as (sin(#))2.

hi please answer the following. thanks. i have provided link on how to do it 1. https://www.youtube.com/watch?v=IFTmjpmYgKs Let f(w) = a: +3. Part a) Find the net signed area between f(:1:) and the ar-axis over the interval [5, 5]. Net signed area : Part 3) Find the total area between f($) and the m-axis over the interval [5, 5]. Total area = Use

Differentiate the function. g ( t ) = 2 t 1/4

Find the producers' surplus at a price level of p = $52 for the price-supply equation below. p = S(x) = 10 + 0.1x +0.0003x- The producers' surplus is $ [Round to the nearest integer as needed.)

5. Graph the following function over a two-period interval. Label all the x- intercepts, and the maximum and minimum y - values. y = - Cos5x 2

Let f : RR -> R be differentiable and assume it possesses an inverse f ] : R -> R. Given that f (1) = 0 and f' (1) = -, find the value of lim f (h) - f (0) h 0 h

If has a root, then Newton's Method starting at Iwill approximate the root nearest Select one: 0 True C' False 31 If a function is continuous on and has no relative extreme I'alu es in , then the absolute maximum value of exists and occur: either at or at Select one: El True 0 False la: bl {at b} Rnlle's Theorem says that if is a continuous

15. Communication Compare the average rate of change on the interval 0 5 x $ 4 for the two functions whose graphs are shown below. 2 1

Use the graph of h (x) in Figure 2.16 to evaluate limh (x), if possible. x2 h(x)

Show work

Can these please be solved on paper with a step by step explanation 8. Find the points on the curve where the tangent line is horizontal or vertical: a) x(0) = 2 cose , y(0) = sin(20). b) x(t) = $3 - 3t , y(t) = 12 - 3

Although Fig. 11.10 specifically illustrates the one-variable case, the definitions of S and S in (11.27) and (1 1.28) are not limited to functions of a single variable. They are equally valid if we interpret x to be a vector, i.e., let x = (X1, . . . .x,). In that case, however, (1 1.27) and (1 1.28) will define convex sets in the n-space

Let f be the function defined below on the given region R, and let P be the partition P = P1 x P2. Find L, (P). f (x, y) = 2x -3y R : 0

E] & LaneOnline ? HELP ' 19 MTH 252 Sp23 (Gladfelter 40017) Participants E4 Competencies E Grades 3 General 3 WEEK1 (April 3 9) :1 WEEK 2 (April 10 - 16) 3 WEEK 3 (April 17 23) D Midterm1 3 WEEK 4 (April 24 - 30) 3 WEEK 5 (May1 - 7) 3 WEEK 6 (May 8 14) 3 WEEK 7 (May 15 21) ll") Midterm 2 D WEEK 8 (May 22 28) Midterm 2 (page 3 of 3) Question 10 Not

The population of a culture of bacteria, P(t), where t is time in days, is growing at a rate that is proportional to the population itself and the growth rate is 0.2. The initial population is 20. (1) What is the population after 50 days? (Do not round your answer.) 440529.316 Submit Answer You have entered that answer before Incorrect. Tries 7/99

8. Using vectors explain how to determine the volume of the following parallelepiped. Determine its volume. C(2, 3, 5) B(6, 3, 5) A(4, 0, 0) D(6, 5, 3) FI

3. (08.02 MC) The table lists several points on a polar graph. 0 NA 3 r 0 2 23 4 2V/3 2 0 Which of the following graphs is represented by the table? (2 points) Polar Point Plotter Author: Steve Dhelps Plot points using ordered pairs separated by semicolons. For example. type in (3;pi/4] and (2:pi/6] and observe what happens 7T 2 . O D _ (4,5) 5

nt #1(Chapter 6) Question 34, 6.2.3-Setup & Solve HW Score: 90.35%, 61.44 of 68 points Part 1 of 2 * Points: 0 of 1 Sa Use the shell method to find the volume of the solid generated by revolving the shaded region about the x-axis. Ay y = 17 X = 2y2 X 14 Set up the integral that gives the volume of the solid.ent #1(Chapter 6) Question 32,

Exploring V and E in 1-D The mathematics of the potential and the field are much easier to visualize and to calculate when we limit ourselves to one dimension. The next three problems will be based on the following system. A plastic rod of length L has a total charge, Q, distributed evenly along HS length. This means that the a .................

6. (U: 20pts, G: 20pts) For the following linear programming problem max 231 + 3332 subject to: $1 + 232 g 1 5191 + 5192 S 3 331,32 20 o a. 3pts. Draw the polygon of the feasible set for this problem and provide the coordinates of every vertex. You can draw by hand or by computer. 0 b. 4pts. Introduce slack variables to transform the inequalities

bank will loan up to 75% of the equity in a home. A family purchased their home 8 years ago for $125,900. The home was financed by paying 20% down and signing a 30-year mortgage at 8.75% for the balance. Equal monthly payments were to be made over the 30 years. The market value of the house in now $140,000. After making the 96 th payment, the

13. If 005(9) = % in quadrant I, what is sin(9)? YOU MUST SHOW ALL WORK TO RECEIVE FULL CREDIT

Use the Divergence Theorem to compute the net outward flux of the vector field F = r|r| = (x, y, z) v x2+y2 +z2 = (xvx2+ y2 + z2, yv x2+ y2+z2, zvx2+y2+z2) across the boundary of the region D where D is the region between the spheres of radius v3 and 2 centered at the origin. Show your work carefully, including the work involving the product rule

Siegfried decides to fly to Honolulu, Hawaii from Seattle, a distance of 2,678 miles. His plane travels at 557 miles per hour. 2 hours and 15 minutes after he leaves Seattle, he discovers he has been flying 0.75 degrees off course. How far away from Honolulu is he at this time? Please use the law of cosines when determining your answer. Give your

2. Part 2 - Find the error(s) and solve the problem correctly. An airplane is flying on a compass heading (bearing) of 170' at 460 mph. A wind is blowing with the bearing 200 at 80 mph. a. Find the component form of the velocity of the airplane. b. Find the actual ground speed and direction of the airplane. Answer: a. v = 460 = b. Find the wind

Find the derivative of the function by using the definition y=x/(x-7)

X Question 8 0/1 pt 9 1 2 19 0 Details Score on last try: 0 of 1 pts. See Details for more. Get a similar question You can retry this question below Use the table to find the following: -7 -5 2 3 7 9 10 13 f (ac) 13 9 10 3 2 -7 7 .5 2 10 3 13 7 9 -5 -7 (fog) (2) = 7 X (go f) (10) = 9 X (fo f) (9) 10 X (gog)(-5) : 7 X Question Help: Video Submit

A perfectly competitive market has constant long-run average cost, LAC = LMC = $6 per unit and has industry demand curve: P = 12 - 0.2Q, where Q is denoted in thousands of units. Answer: a) Determine output, price, consumer surplus, and producer profit. b) Suppose that the industry were to become monopolized, so that the new price and output were

To find the distance between two points A and B which are separated by a small lake, a surveyor locates a point C such that ABC is a right angle. He uses his transit and finds angle BCA measures T R4.5em 8..5 cm 9.5cm

Determine the slope of the tangent line to' sin 2x - 7 cotx at x- 4

, sin 7 cot Determine the stope of the tangent line to y at

Please help me understand how to solve this: [6]. Given the following characteristics of Mac), sketch the graph of Mac). Be sure to label any local extrema or inflection points. a) M3) = 0. b) Mac) has a vertical asymptote at x = 1. c) h'(x) > 0, on the interval (00, 1) and (1,00). cl) h"(x) 0, on the interval (00, 1) and (3,00)

Q8 show your work and good hand writing Graph one period of the function y= 2 sin (3x - It). Please, use the graph paper provided to do this using the two steps below: 1) first, graph the function without the horizontal shift. 2) then, graph the function with the horizontal shift. Both of these graphs have to be done on the same coordinate plane.

Answer asap please, no need to show work: 16. Determine whether the sequence converges or diverges. If it converges, find the limit. {If the quantity diverges, enter DIVERGES.) _ (1)!" +2n3 an 3 n +5n2+6 Determine whether the sequence converges or diverges. If it converges, find the limit. {If the sequence diverges, enter DIVERGES.} 3+7'n2 a." :

Assume a continuously compounding model, find the present value of a $6,000,000 sports contract over 4 years with an inflation rate of 5%. Answer: $4,369,923.32 How long will it take an initial investment to triple assuming continuously compounding model with interest rate 6.6%. Express your answer rounded to 2 decimal places. Answer: It will take

explain step by step and solve, I only got it right because I guessed the answer based off of a similar question and had difficulty solving the question in full.

Please help with the following questions 4. (a) (i) State the definition of the derivative of a function. 12 marks) (ii) Using the definition of part (i), find f'(x), when f(x) = V3r. (5 marks] (b) Prove that A (secr) = secr tant 15 marks] (c) Sketch the region bounded by the functions y = r and y = -1, then find its area. (7 marks) (d) Use the

All questions will be solved using derivative rules EXCEPT the first question. Communication marks are given for neat, organized solutions with therefore statements and units. Find the derivatives of the following using derivative rules. You must show all steps to get full marks. Make sure you simplify your answers as much as possible. Do not

2 x>2 A function fis defined as f(x) = 4 Find f(x)dx - - x + 3 x52 0 2

The Third Gate You arrive at the third gate and look for the inscription. Your computer translates the following: "This passcode consists of the two below limits which include an arbitary real number: 6. Remember to type "infinity" for oo. "infinity" for oo__ and "NA" if the limit does not exist. Enter the results and I will apply.r the passcode."

Radium-221 has a half-life of 30 sec. How long will it take for 85% of a sample to decay? (Round your answer to the nearest whole number.) sec Need Help? Read It Master It

12) (3pts) Write an equation for a square root function that has been flipped over the y-axis, compressed horizontally by 1/2, and shifted up 2. RC - 2 x) + 2 13) (6pts) Based on the graph of f(x) given here Sketch a graph of g(x) =-2f(x-1) and describe the transformation in words X 8) (9pts) Given f(x) =2x+3 and g(x) = 3x7 +3 colonuil 1001 preupe

117 3TT sin = sin 12 4

Find the exact value.

What is the max/min values over the interval x E - 1, 3 for the following function, f (ac) 3 4x + 1 Select all that applies. X=0 X=1 X=2 X=-1/2 Question 2 (1 point) Let f be defined in [-2,4] by, 4 3 3 2 0Let f be defined in [-2,4] by, 1 f ( ac) = - - act - 2.2 3 2 N CO + 9x 2 . Find the maximum and minimum points. Select all that apply. O 0 = 4 C

Find an equation of the plane consisting of all points that are equidistant from A(2, -1, -5) and B(-1, -5, 0). Note: you have to enter the full equation

Calculate the left Riemann sum for the given function over the given interval using the given value of n. (When rounding, round your answer to four decimal places. If using the tabular method, values of the function in the table should be accurate to at least five decimal places.) f(x) = - over [0, 1], n = 5 1+xCalculate the left Riemann sum for

Find the zeros exactly for P(x)=x - 2x' + 10x2 - 18x + 9=0

And total interest would be?Question 4 Part 1 of 2 x Points: 0 of 1 Save E-Loan, an online lending service, recently offered 36-month auto loans at 3.6% compounded monthly to applicants with good credit ratings. If you have a good credit rating and can afford monthly payments of $335, how much can you borrow from E-Loan? What is the total interest

Given the two vectors a = (3, 2, 5) and b = (-2, 1, -8) find |2a + b O V5 0 9V5 O V33 0 5V3 O 315 O V19Find the angle 6 made by the two vectors. Give the answer in degrees and round to the nearest tenth. You can drag the grid to get a better View of the vectors. O 45.0 O 43.60 O 45.3 O 50.90 ( 53.10What does vector w represent? *You can move the

Find each of the following. f (x) =2x - 2 g (x) = + 1 (fog) (x) = (got) (x) = Is g the inverse of f ? yes O no

Pls help meee I can't find an example pls pls pls i have tried over and over again ( 3) WE DEFINED SHOW BY EXAMPLE THIS IS NOT LIM LIM f ( t ) at 4 -0 x- 100 wy

If - 38 f(x)dx = 13 84 and - 38 g(x)dx = 26 -84 and 38 h(x)dx = 24 -84 what does the following integral equal? 38 [7f(2) + 4g(x) - h(x)]dx = 171 84

00 For I find n so that Rn cool ( n= 1 Smallest n

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Written Assignment Unit 2 Lines 3. Planes Communication 3. A line passes threugh the points M4, -2, 1] and B[A,D,1}. Explain why.r there are no symmetric equations for this line. [5]

3. Evaluate the following by first graphing it and then interpreting it geometrically, using areas of commons shapes: J(1 + v4 -x2) dx. Page 1 of 4 MacBook Pro

6. The population of a town can be modeled by the function P(t) = 10,000 + 30t + 12, where P(t) denotes the town's population t months from now. () How fast will the population be increasing a year from now? (b) What will be the population a year from now

4:10 PM Fri Nov 17 . . . 74% AA mylab.pearson.com A + Section 9.4 X Do Homework - Section 9.4 MAC 1140 F23 ONL Brandon Archer Homework: Section 9.4 Question 8, 9.4.1 HW Score: 5.44%, 0.65 of 12 points Part 2 of 7 Points: 0.09 of 1 Save Question list K Use the Principle of Mathematical Induction to show that the following statement is true for all

Evaluate the following double integral over the region R. [ J 2 - dA; R= ( ( xy): OsX5 1, 1sysg) R . . . Choose the two integrals that are equivalent to J J 2 / x A. R 19 DA. JS 2 X dy dx 19 0 1 DB. SS 2)= dx dy 91 01 ac. JJ 2 x dy ox 9 1 10 OD. SS2 # dx dy 10 Evaluate the integral. SS 2 2 dA = ] R

Top part is a part of a Find the local linear approximation of the function f(x) - v23 + xe at xo - 2, and use it to approximate v 24.9 a (a) f(2) - V23 + 2 ~ (b) V24.9 ~ (c) V25.1 ~ For parts (b) and (c), you should enter your answer as a fraction. If you enter a decimal, make sure that it is correct to six decimal places. 2. (5 points) Recall

List all possible rational roots of 6x^5 - 3x^3 + 2x^2 + 7x +15 =0. Show all steps. Explain how we know this includes ALL possible rational roots

Hi: The region bounded by the function y= x 4 and the parabola y = x 2 . It is rotated about the x-axis. It is necessary to identify the generated shape and volume to know if it can be used as a container to pack yogurt. Calculate the volume and analyze if it is possible to occupy it. step by step (calculate the volume) V= 1 1 ( x 4 x 2 ) 2 d x

1. Find the second derivative for each of the following. a . f(x) = 13x4 - 7x3 + 5x2 + 11x + 75 b. f(x) = (x3 + 2x2 + 4)(x4 -3) C . f(x) = (4x3 - 7x)7 d. 12 = y2 + x2 2. The distance travelled by an object is given by the equation d(t) = - 20t 1 + 2, t20. a What is the speed of the object at 1s, 2s, and 3s? b. When does the speed reaches 8 m/s? 3.

Disregard the YouTube link 1. Find the derivative of f ( x) = V 2 http://www.youtube.com/watch?v=3CkDpfzg2gU 2. Find the equation of the tangent line to the graph of f (x ) = 3x + 2 sin a at the point ( 7. 37) http://www.youtube.com/watch?v=BUoZ10NDIt

8. Which option is correct? Show work please. D Question 8 dy Find - dx by implicit differentiation x'+ 8x+13xy -yz=16 dy 2x - 8+ 13y dr 2y - 13x dy 2x +8+13y 2y - 13x O dy 2x +8 -13y 2y - 13x O x+8+13y dx y - 13x dj 2x + 8 + 13y 2x - 1 3y

How do I find the volume of the rotated region bounded by the curves "x = y^2" "x = 1 - y^2" around the y - axis?

NOT A QUIZ/EXAM its just a practice Only 3 questions please do them ASAP you got 2 hours and 20 minutes. I want only answers no need for explanations. Write next to each answer for which question it belongs. there is nothing missing these are the questions I got. Rational Reasoning IMathAS Asse X C O

The weekly marginal cost of producing x pairs of tennis shoes is given by the following function, where C(x) is cost in dollars. 500 C' (x) = 11 + - x + 1 If the fixed costs are $3,000 per week, find the cost function. What is the average cost per pair of shoes if 1,000 pairs of shoes are produced each week? The cost function is C(x) = If 1,000

In Desmos.com using the following graphs. (0.366. 2.31) New maximum Required antiderivative (0.366, 1.155 Original function 2c 2_ The derivative function Compute three definite integrals with the lower limit "a" and the upper limit "b", and interpret the integrals in the context of your application problem, if: a=0 and b>0 a>0 and b>0 and b>a a=0

WeBWork 2: Problem 7 (1 point) Find the derivative of the following function F(x) = / (2r 1)3 dt using the Fundamental Theorem of Calculus. F '(x) =

Hi, below are the photos of the question plz answer all questions and there is no need to give the explanation for the answer just fill the right blanks thanks Also, make sure the answers are right 1. [-/6 Points] DETAILS LARCALC12 11.1.041. Find the following. U = (1 , 5 , V = (5 , 8 ) (a) |lull ( c ) u (d) (e) V utv ( f ) u + vil10. [-/1 Points]

Can you help me solve questions A through E please ) and S(x) Demand for apartments in a certain town is D(x) = 1800 2x, and the supply is 8(X) = 600 + 8x, where x is the number of apartments, in hundreds. and D(x are the rent in dollars per month, per apartment , /|\ a) Find the equilibrium point. b) Find the consumer surplus and producer

Can you help me define: 1. What is a relation? 2. What is a product set? 3. Can you help me define each of the properties of a relation with examples. 4. What is a function?. 5. Can you help me establish the difference between the domain and range of a function?. 6. Can you explain classification of functions by defining each one and giving

A plane is 112 mi north and 168 mi east of an airport. Find x, the angle the pilot should turn in order to fly directly to the airport. Round your answer to the nearest tenth of a degree. 168 x = X Airport

QUESTION 12 Aaron kicked a soccer ball with an initial velocity of 39 feet per second at an angle of 44 with the horizontal. After 0.9 seconds, how far has the ball traveled horizontally

(1) (8 points) (a) The graph below depicts f (x) = 23 1 with 8 = 0.3 and 5 = 0.5 , a = 1.5, (as described in the definition of limit). Does this value of 6 satisfy the definition for the given 8? (b) According to the graph, would 6 = 0.2 satisfy the defintion?__ --- ---5' _il (c) Now Suppose that for the same function but with a :1 , 3 = 0.2. Find

7) By using the definition of convergence ( limit of partial sums) determine if the following series converges or diverges and if it converges find what it converges to. Be sure to show the first 4 partial sums. 1 1 1 1 1 1 ++++++... 2 6 12 20 30 42 8) Determine if the following sequence converges or diverges and if it converges find what it

1. From a point A] level with the foot of a hill, the angle of elevation of the top of the hill is 20". From a point B, 850 meters nearer the foot of the hill, the angle of elevation of the top is 62". Find the height in meters of the hill, DC, to the nearest tenth. Be sure to show and explain all work. 2 In AABC, you are given A = 430 B = 579 and

Find the average value and the value(s) of c guaranteed by the mean value theorem for integrals if f(x)=1 +x 2 over the interval [-1,2]

Question 7 Question 7, 3.4.41-BE HW Score: 2.38%, 0.5 of 21 points 10.1 Save Part 1 of 2 Points: 0 of 1 A sailboat costs $30,554. You pay 25% down and amortize the rest with equal monthly payments over a 12-year period. If you must pay 8.4% compounded monthly, what is your monthly payment? How K much interest will you pay? Monthly payments: $

please help with this problem 2. At which of the following points will F (:3) : f: f (t) dt always be equal to zero

Lower 95% Mean Upper 95% Mean Predicted Demand Demand Demand 31 8. 497192069 8. 142077263 8. 852306876 StdErr Indiv Lower 95% Indiv Upper 95% Mean Demand Demand Demand 0. 751594849 6.957619432 6. 957619432 Click here for the Excel Data File (a) Report a point estimate of and a 95 percent confidence interval for the mean demand for Fresh in all

Please help me as much as you can!! I will take all your effort to solve this problem and will give you a good rate!!! Please show all the calculations in detail! Also, please do not copied and pasted answers from another website (Especially c_h_e_g_g) (2) Among all the curves y(:::) joining two given points (3:1, yl) and (1:2, yg), nd the one

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximationg rectangle. V = LY = 2 X=7 25- 20 6 15 -1 10 51 -2 2 4 6 8 -31 4 6 8 -5- N -10 - 15 X -20 2 4 6 8 O -25 -1 Find the area of the region

Find xy* da where C is the arc of the curve x = y from (0,0) to (1, 1). Question Help: Video Message instructor Submit

Announcers present music, news, and sports, and may provide commentary or interview guests about these or other important topics. Some act as masters of ceremonies temcees} or disc jockeys {3.15} at weddings. partiesr or clubs. Many announcers work in radio and television studios. Some announcers are self-employed; others work part time. The

1. (Problem Set 32, #1) Let S be the portion of :32 4y2 + 22 = 0 between y = 3 and y = l, oriented with normals pointing toward the y-axis. Let F(a:, y,z) = (0,y,0). (3.) Evaluate [g. s (b) This GeoGebra applet shows 1:". and 5. Your friend doesn't understand graphically why the answer to #1(a) has the sign that it does; write an explanation for

Show steps

Maximize Z xy, where x and y are positive numbers such that 3

Find the area of the region bounded by the curves y = 5 . (x| and y = x2. Area = CheckFind the volume of the solid of revolution obtained by rotating the region bounded by y = vi, y = 1/x and x = 4 about the y-axis. Answer: Check

Previous Problem Problem List Next Problem 9: Problem 1 (1 point) Suppose F(t) is an antiderivative of to. Then F' (t)= According to the Second Fundamental Theorem of Calculus, t' dt = Answer using the function F. Use your answers above or the First Fundamental Theorem of Calculus to find d t' dt = dx See Example 1 page 238 for a similar problem.

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You are given the following one-to-one function. R(x) = _x+7 2 (a) Find the domain and range of f(x). (Enter your answers using interval notation.) domain range (b) Find the domain and range of f (x). (Enter your answers using interval notation.) domain range

I have already done the other parts only do these questions in excel please : 6.With the range E5K16 selected, use Quick Analysis tools to calculate the total regular pay, overtime pay, gross pay, taxable pay, withholding tax, FICA,and net pay on row 17.7.Apply Accounting Number Format to the range C5:C16. Apply Accounting Number Format to the

For f(x) = 3x + 5 and g(x) = x2, find the following composite functions and state the domain of each. (a) fog ( b ) got ( c ) for (d) gog (a) (fog) (x) = (Simplify your answer.) Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The domain of fog is {x (Type an inequality. Use integers or fractions

Use the trapezoidal rule with n = 4 to approximate 4 cos (a) dx Keep at least 2 decimal places accuracy in your final

Letting g : R - R be a differentiable function, define f : R - R by f (z ) := = [9(22) 13, VEER. Assuming g(1) = 1, g'(1) = -3, find the value of f' (-1)

I am having some trouble with these two questions. I have to use the given equations to solve the problems. Thank you in advance for your help These were the given equations: f ( x, y ) = a.f (x, y) = lim f ( x + h, y) - f (x, y ) h - 0 f ( x, y ) f ( x, y ) = lim f ( x, y + h) - f(x, y) = h- 0 S Cfind f ( x, y ) if f (x, y) = 4 x + 8 x 12 + 6y