Math

CalculusQ&A LibraryUse the variable u for the inside function to express each of the following as a composite function. Enclose arguments of functions in parentheses. For example, sin(2x). (a) y=(6t2−1)2 Enter your answer as a list with square brackets and terms separated by commas [u(t), y(u)], where u(t) is the inside function and y(u) is the outside function.(b) P=5e−0.8t Enter your answer as a list with square brackets and terms separated by commas [u(t), P(u)], where u(t) is the inside function and P(u) is the outside function.(c) C=4ln(q2+4) Enter your answer as a list with square brackets and terms separated by commas [u(q), C(u)], where u(q) is the inside function and C(u) is the outside function.Question

Asked Feb 6, 2020

66 views

Use the variable u for the inside function to express each of the following as a composite function.

Enclose arguments of functions in parentheses. For example, sin(2x).

**(a) y=(6t2−1)2**

** **

**Enter your answer as a list with square brackets and terms separated by commas [u(t), y(u)], where u(t) is the inside function and y(u) is the outside function.**

**(b) P=5e−0.8t**

Enter your answer as a list with square brackets and terms separated by commas [u(t), P(u)], where u(t) is the inside function and P(u) is the outside function.

**(c)** C=4ln(q2+4)

Enter your answer as a list with square brackets and terms separated by commas [u(q), C(u)], where u(q) is the inside function and C(u) is the outside function.

Step 1

a) Given function is,

*y* = (6t^{2}−1)^{2}

To express the given function as a composite function,

Let* u* **=** 6t^{2}−1

Then,

*y* = (*u*)^{2}

Now enclose arguments of functions in parentheses as required

Step 2

b) Given function is,

P = 5e-0.8t

To express the given function as a composite function,

Let* u* **=** −0.8t

Then,

P = 5e*u*

Now enclose arguments of functions in parentheses as required

...Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: Can you please help me step by step with this problem

A: To find the derivative of the function y = 6x3.

Q: Sketch the bounded region enclosed by y = e4",y = esa and x = 1. Decide whether to integrate with re...

A: Click to see the answer

Q: See image below.

A: To determine the value of the limit if it exists.

Q: 36. A communications satellite is in geosynchronous orbit. This means that its orbit coincides with ...

A: For maximum distance we have to take tangents from the outer point to Earth. C is the satellite. O i...

Q: Which of the following is the correct limit defihition for the derivative of g(x) = + 4? Select the ...

A: Consider the formula for the limit of the function f(x).

Q: Please solve and show your work

A: Given that

Q: Consider the function f(x)=8x-x2 and the point P (2,12) on the graph of f. Estimate the slope of the...

A: Click to see the answer

Q: Use the definition of the derivative to find df/dx. f(x) = x/(1-3x)

A: Given, function

Q: Please solve and show your work

A: Given points are (1, –1) and (–9, –4).Slope m of a non-vertical line that passes through two points