Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

17. Functions f, g, and h are twice-differentiable functions with g(3) = h(3) = 5. The line y = 5 + (x - 3) is

image text in transcribed
17. Functions f, g, and h are twice-differentiable functions with g(3) = h(3) = 5. The line y = 5 + (x - 3) is tangent to both the graph of g at x = 3 and the graph of h at x = 3. a. Find h' (3). b. Let a be the function given by a(x) = 2x3h(x). Write an expression for a' (x). Find a' (3). c. The function h satisfies h(x) = x2-9 1-(f(x) )3 for x #* 3. It is known that lim h(x) can be evaluated * -3 using L'Hospital's Rule. Use lim h(x) = 5 to find f(3) and f'(3). Show the work that leads to your answers

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Differential Equations With Boundary Value Problems

Authors: Martha L L Abell, James P Braselton

4th Edition

0124172822, 9780124172821

More Books

Students also viewed these Mathematics questions