Find the following using the table below.1234f(x)f'(x)g(x)213423412143(x),62143h'(3) if h(x) = f(x)· g(x)f(x)g(x)h'(3) if h(x)h'(3) if h(x) = f(g(x)) The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled by thefunctionD(t) = 2 cost++ 3where t is the number of hours after midnight. Find the rate at which the depth is changing at 2 a.m. Roundyour answer to 4 decimal places.ft/hr

Note- Acc. to Bartleby guidelines, we are supposed to do only 1 question. If you want more to be…

Answered: Find the following using the table…

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...

See similar textbooks

Similar questions

Suppose f(r), f' (x), g(x), and g'(x) have the values shown: - 10 -9 8 - 7 -6 f(x) |f'(x) g(x) 3 7 8 - 9 -3 -1 1 - 4 6- – 6 1 -4 9'(x) -3 -2 7 Find the following. (fg)'(– 9) = '(- 9) 5, 3.
Let F(æ) = f(f(æ)) and G(x) = (F(x))² . You also know that f(3) = 10, f(10) = 2, f'(10) = 3, f'(3) = 2 Find F'(3) and G'(3)
Suppose k(x) = f(g(h(x))). Given the table of values below, determine k(-2). f(x) g(x) h(x) | f'(x) g'(x) | h' (x) -2 -8 -1 -2 -5 -6 -1 2 -3 1 3 5 2 -5 -3 -1 -2 4
1) Use the definition of the derivative to find f'(x) f(x) = (4x + 1)(3 – 7x3) Step 1: Step 2: Step 3: Step 4:
Write all answers with numbers rounded to two decimal places. In Calculus the derivative of mononomial function is given in the following way. If the function is f (x) = a x" then the derivative is f'(x) = an x(-1). If the function is f(x) = 7x then the derivative is f'(x) an*x^(n-4) If the function is f(x) 5x 2 then the derivative is f'(x) = an*2^(n-1) If the function isf (x) = 3.8x then the derivative is f'(x) = an*x^(n-2) Your last answer was interpreted as follows: an · x"-4 The variables found in your answer were: an, n, x Your last answer was interpreted as follows: an · 2.2n-1
Find each of the following. In some cases, you may need to rewrite the function first. (a) F'(x) for f(x) = ax¹¹ + cx + b F'(x) (b) g(x) for g(x) g(x) = A(X) 11 (c) h (x) for h(x) = 13e" - w'(x) 1 TE El (d) w (x) for w(x) = (1) 11 + (+)*+√
- Show that a f(x)= E f(x), where E is a constant and f(x)=e2* + e2*
During the first couple weeks of a new flu outbreak, the disease spreads according to the equation I(t) = 3600e0.0 where I(t) is the number of infected people t days after the 0.083t outbreak was first identified. , Find the rate at which the infected population is growing after 10 days and select the appropriate units. Select an answer
The graphs of f and g are shown. Let h(x) = f(g(x)) and s(x) = g(f(x)). y 15 10 5 -2 4 6. 10 (a) Write an equation for h'(x) in terms of f(x), g(x), f'(x), and g'(x). O h'(x) = g'(f'(x))f'(x) O h'(x) = g'(f(x))f'(x) h'(x) = f'(g'(x))g'(x) h'(x) = f'(g(x))gʻ(x) O h'(x) = f'(g'(x))g(x) O h'(x) = g'(f'(x))f(x) Find h'(3). (If an answer does not exist, enter DNE.) (b) Write an equation for s'(x) in terms of f(x), g(x), f'(x), and g'(x). O s'(x) = f'(g(x))g'(x) O s'(x) = g'(f'(x))F'(x) O s'(x) = f'(g'(x))g'(x) s'(x) = g'(f(x))f'(x) s'(x) = f'(g'(x))g(x) s'(x) = g'(f'(x)){x) Find s'(7). (If an answer does not exist, enter DNE.)

Recommended textbooks for you

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781319050740

Author:

Jon Rogawski, Colin Adams, Robert Franzosa

Publisher:

W. H. Freeman

Precalculus

Calculus

ISBN:

9780135189405

Author:

Michael Sullivan

Publisher:

PEARSON

Calculus: Early Transcendental Functions

Calculus

ISBN:

9781337552516

Author:

Ron Larson, Bruce H. Edwards

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

Find the following using the table below. 1 2 3 4 f(æ) f' (æ) g(x) g'(x) 1 3 4 3 4 1 4 3 2 1 4 3 h'(3) if h(x) = f(x)· g(x) f(x) h'(3) if h(x) g(x) h'(3) if h(x) = f(g(x))