a) f(x) c) f(x) e) f(x) sin x COS X In x Differentiate then simply each of the following b) f(x) d) (x) x 1 sin x In x sin x f) f(x) 10 A 5 MARKS Find the intervals of concavity for the following functions a) f(x) xex b) f(x) x ln x 7 T 6 MARKS For what value of the constant c is the following function continuous at every number (x c if x 2 f(x) x 1 if x2 8 T 6 MARKS If 2700 cm of material is available to make a box with a square base and open top, find the dimensions of the box that give the largest volume of the box What is the maximum value of the volume 5 C 4 MARKS Consider the function f(x) defined by the following graph 4 VA 3 1 For each value of x a, classify the function f(x) as continuous, having a jump, a removable or an infinite discontinuity a) a 3 b) a 1 b) f(x) 2x 1 2x 1 3 c) a 2 6 K 4 MARKS For each case, find the average rate of change over each interval a) f(x) x4 x x 1, 1 0, 2 d) a 0

The Answer is in the image, click to view ...

Question: a) f(x)= c) f(x)= e) f(x)= sin x COS X In x Differentiate then simply each of the following: b) f(x)= d) (x)= x

a) f(x)= c) f(x)= e) f(x)= sin x COS X In x

a) f(x)= c) f(x)= e) f(x)= sin x COS X In x Differentiate then simply each of the following: b) f(x)= d) (x)= x + 1 sin x In x sin x f) f(x)=- 10. [A/5 MARKS] Find the intervals of concavity for the following functions: a) f(x) = xex b) f(x) = x ln x 7. [T/6 MARKS] For what value of the constant c is the following function continuous at every number? (x+c if x

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

1-16 Two pounds of air is compressed requiring 20,000 ft-lbf of WORK while 14 Btu of Heat is rejected. What is the change in internal energy during the compression and what is the effect on the...

Tell what each expression means, and then rewrite in exponential form. a. log0 100 b. 10g10 1,000 c. log, 1

Portray in words what transforms you would have to make to your execution to some degree (a) to accomplish this and remark on the benefits and detriments of this thought.You are approached to compose...

4. Determine the exact value of each trigonometric ratio. 5 TT a) sin 75 c) tan e) cos 105 2377 b) cos 150 d) sin 12 f) tan 12 PRACTISING 5. Use the appropriate compound angle formula to determine...

Question 9 Solve the given differential equation by variation of parameters. y" + y = sec x Hint: Use the following formula Y = - yu + y,uz = -y1 dx + 2.J dx P W W O y (x) = c 1 cos x + C 2 sin x +...

Prove the given identity tan x sec x csc x cot x Choose the correct proof below OA tan x sec xcsc x sin x 1 1 sin x OC COS X COS X sin x cos X 1 sin x sin x cos X 2 COS X cot x C tan x sec xcsc x sin...

Find dy dx a y= VV2x+ 3+1 ; b) y=\\x_! 1- cos x c) y= d) y= xsecx x sin x COS X - CSC X sin x cos x - tan x e y=- f) y = ; g) y = cot (xsin(2x +4)) ; Vx COS X

1 Describe the domain of the following functions Show all work a f x c E x e R x X g T x 1 1 2 x x 2 2t 1 et sin x b S x d C x f L x h N x 2 x x cos x log x x 2x 4 x In x 1

Course: STAT 100-101 (Wint x s100 termtest3.pdf X Stat 100 Unit 10 Notes.pdf x WeBWork : STAT-100-101: x stattables_twopage-rotated x Homework Help - Q&A from X + V X C...

Please Answer Questions 1-7, 9-14, 16-24 (Please type, I can't read a lot of handwriting. Thank you!) 3.3 Exercises SECTION 3.3 DERIVATIVES OF TRIGONOMETRIC FUNCTIONS 197 1-16 Differentiate. 1. f (x)...

Weller Industries is a decentralized organization with six divisions. The company's Electrical Division produces a variety of electrical items, including an X52 electrical fitting. The Electrical...

9. If an S corp., a calendar year taxpayer, has 72 individual shareholders and one of those shareholders sells his shares to a corporation on June 25, 20X6, when does the S corporation's tax year...

The freight forwarder has four different exporters with cargo going from Toronto to Paris via AirFrance. What contract is going to be signed between the freight forwarder and Air France? a. Master...

Alomar Tool & Die begins operations on January 1. Because all work is done to customer specifications, the company decides to use a job order cost accounting system. Prepare a flow chart of a typical...

During January, its first month of operations, Alomar Tool & Die accumulated the following manufacturing costs: raw materials $4,000 on account, factory labor $5,000 of which $4,200 relates to...

In January, Alomar Tool & Die requisitions raw materials for production as follows: Job 1 $900, Job 2 $1,200, Job 3 $700, and general factory use $600. Prepare a summary journal entry to record raw...

Factory labor data for Alomar Tool & Die is given in BE20-2. During January, time tickets show that the factory labor of $5,000 was used as follows: Job 1 $1,200, Job 2 $1,600, Job 3 $ 1,400, and...

Data pertaining to job cost sheets for Alomar Tool & Die are given in BE20-3 and BE20-4. Prepare the job cost sheets for each of the three jobs. (Note: You may omit the column for Manufacturing...

A firm has total assets of $ 1 0 0 and total debt of $ 2 5 . Equity is $ 7 5 . Debt - equity ratio is 3 . Debt ratios is 2 5 % . Equity ratio is 7 5 % .

Suppose that x 0 = 2\/3, y 0 = 3, and y n = x n y n1 for n e N. a) Prove that x n x and y n y, as n , for some x, y R. b) Prove that x = y and 3.14155

For each of the following, find a (piecewise) smooth parametrization of C and compute Cgds. a) C is the curve y = 9 - x2, x > 0, and g(x, y) = xy2. b) C is the portion of the ellipse x2/a2 + y2/b2 =...

Find the limit (if it exists) of each of the following sequences. a) xn = (2 + 3n - 4n2)/(1 - 2n + 3n2) b) xn = (n3 + n - 2)/(2n3 + n - 2) c) xn = 3n + 2 - n d) xn = (4n + 1 - n - 1)/(9n + 1 - n + 2)

16. A hot dog vendor at a football game must decide in advance how many hot dogs to order. He makes a profit of $.10 on each hot dog which is sold, and he suffers a $.20 loss on hot dogs which are...

20. In Exercises 15, 16, 17, and 19, what would the optimal estimates be if the loss function were quadratic instead of linear [that is, if the loss function were of the form (9.13.1)]?

18. Prove that if a decision makers loss function in a point estimation problem is given by Equation (9.12.1), then the kj (ku + k0) fractile of the decision makers distribution of 6 is the optimal...