24. Find the x- and y-intercepts of the line that is tangent to the curve y = =√/² at the point (1, 1). Show the work that leads to your answers.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
Number 24
19. V(r) = nr³
25. Find d for y=*+1
d²y
dx2
22. Find an equation for the line tangent to f(x) = 7 - 5x + x³ at x = -1. Show the work that leads to your answer.
23. Find the locations of all horizontal tangent lines of y = 2x³ - 3x² - 12x + 20. Write answers as ordered pairs.
Show the work that leads to your answer. Verify your answers graphically.
26. Find f(x) for f(x) = x-¹ + x².
20. h(t)at² + bt
1
24. Find the x- and y-intercepts of the line that is tangent to the curve y = at the point (1, 1). Show the work that leads
√x
to your answers.
dBy
27. What is if y = 16t² + 400t + 12? Explain.
dt8
28. Which of the following is equal to ()?
dx
B. -f'(x)
A.
f'(x)
C.
21. T(q) =
-f¹(x)
[f(x)]²
D.
a
F
bq
fi(x)
[f(x)]²
E. - [f'(x)]-²
Transcribed Image Text:19. V(r) = nr³ 25. Find d for y=*+1 d²y dx2 22. Find an equation for the line tangent to f(x) = 7 - 5x + x³ at x = -1. Show the work that leads to your answer. 23. Find the locations of all horizontal tangent lines of y = 2x³ - 3x² - 12x + 20. Write answers as ordered pairs. Show the work that leads to your answer. Verify your answers graphically. 26. Find f(x) for f(x) = x-¹ + x². 20. h(t)at² + bt 1 24. Find the x- and y-intercepts of the line that is tangent to the curve y = at the point (1, 1). Show the work that leads √x to your answers. dBy 27. What is if y = 16t² + 400t + 12? Explain. dt8 28. Which of the following is equal to ()? dx B. -f'(x) A. f'(x) C. 21. T(q) = -f¹(x) [f(x)]² D. a F bq fi(x) [f(x)]² E. - [f'(x)]-²
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y equals fraction numerator 1 over denominator square root of x end fraction

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