Homework Help for Calculus

What is the area enclosed by f(x)= x^2, the tangent line to f at x = 3, and the x-axis?

What is the equation of the tangent line to y = x^2 at x = 4?

Suppose the population of a city can be modeled by persons, where $t$ is the number of years since 2000.

Meanwhile, the number of college graduates in the city can be modeled by where t is the number of years since 2000.

A function giving the fraction of college graduates is R(t) = 

The interval in which Lagrange's theorem is applicable for the function f(x) = 1/x is.

A [-3,3] 

B [2,3]

C [-2,2]

D [-1 ,1]

A manufacturer has determined that an employee with d days of production experience will be able to produce approximately P(d) = 3 + 15( 1 – e–0.2d ) items per day. Graph P(d).
(a) Approximately how many items will a beginning employee be able to produce each day?
(b) How many items will an experienced employee be able to produce each day?
(c) What is the marginal production rate of an employee with 5 days of experience? (What are the units of your answer, and what does this answer mean?)

Can someone help me find the derivative?

f(x) = log (sec x)

Is f(x) differentiable at x=4? Justify your answer.

Solve the following with solution:

 

(A)  

(B)  

(C)  

(D)  

I need this function integrated, thank you!

(d)    

ANSWER THE FOLLOWING QUESTIONS BELOW:

1. Compare and contrast functional and non-functional testing. Provide examples of requirements that apply to each.
2. Describe and discuss maintenance testing, when it occurs and why it is important.

If f is the function defined by is equivalent to which of the following? 

A.   

B.   

C.   

D.