Question: Consider the curve 8x2 + 513: + y3 = 149 A) Write an equation for the tangent line to the curve at the point (4,

Consider the curve 8x2 + 513: + y3 = 149 A) Write an equation for the tangent line to the curve at the point (4, -l). B) There is a number k such that (4.2, k) is on the curve. Approximate the value of k using the tangent line found in part B

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!

Solar radiation incident on a large body of clean water (k = 0.61 W/m K and = 0.15 10 -6 m 2 /s) such as a lake, a river, or a pond is mostly absorbed by water, and the amount of absorption varies...

(8 points) Consider the curve :32 + y = y3 + 3. Find the equation of the tangent line to the curve at the point (3, 2)

Consider the curve: ( 2y + 1) - 24x - -3 (b) Write an equation for the line tangent to the curve at the point (-1, -2). (a) Show that dy 4 (2y+1)? " (c) Evaluate dza at the point (-1, -2). (d) The...

Problems 710: Solve the problem. {8 Points Each) '3') Write an equation furthe tangent line to the curve 13: = 36 at the point (9. 4). 8) Write an equation furthe tangent line to the curve )(2 9x): +...

This is a 'post-first' discussion forum. There are currently o threads in this forum. Create a thread to help start the conversation! Create Thread FORUM DESCRIPTION Topic for your initial post: It's...

Consider the curve y = x x3. (a) Find the slope of the tangent line to the curve at the point (1, O). |:] (b) Find an equation of the tangent line in part (a). X (c) Graph the curve and the tangent...

Consider the curve f(X) = X - X'. (a) Find the slope of the tangent line to the curve at the point (1, 0). (b) Find an equation of the tangent line in part (a)

Consider the cirde centered at ( - 5, 1). Write the equation of the line tangent to the cirde at ( -9, - 4). Write your answer in slope-intercept form. (-5,1) (-9,-4) Equation of Tangent Line is Find...

AP Exam Practice Questions 407 Section 2, Part A, Free Response, Technology Permitted 11. Consider the differential equation y' = (2x)/y with a 8. The rate of growth of the number of bacteria y is...

1. [11'] points) Consider the two points [1, 3) and [91A]. Find the equation of the line y ma: through the origin that "best ts11 these two points. By best ts, it means the sum of the 1.rertical...

For numbers 6-9: Consider the graph of the function h(x) below: h(x) 12/ 10 O- 1b 12 6. What is the value of h(6)? ANSWER 7. What is the value of lim h(x)? x-6 ANSWER 8. What is the value of lim...

To insert an item to the linked list Select one: O a. The next of the previous node must equal the next of the follow node O b. We need only two pointers; previous and follow Oc. The next of the new...

Find two positive numbers that satisfy the givenrequirements. The sum of the first number squared and the second numberis 57 and the product is a maximum.

C for the arbitrary constant. Absorb into C a s much a s possible. d x ( x 2 + 4 ) 3 =

QUESTION 3 Let A = {{a, {a}}, a, }, then the power set of A is P(A)= IS

Let A = {{a, {a}}, a, }, then the power set of A is P(A)=

QUESTION 1 Let A = {{a,{a}},a,}. Then: EA. True False QUESTION 2 Let A ={{a,{a}},a,}, then {a,{a}}cA O True OFalse

1 Let A = {{a,{a}},a,}. Then: EA- True False 2 Let A = {{a,{a}},a,}, then {a,{a}}CA. True False

Three factories produce light bulbs to supply the market . Factory A produces 20 % 50 % of the tools are produs in factory B and 30 % in factory C. 28 of the bulbs produced in factory A 15 of the...

Tell what you mean without sounding too dominant, i.e. show authority without sounding instructive

Speak clearly and distinctly with moderate energy

Get married, do not wait for me