Find the average value of the function over the given interval. f(x) =8/x^2 , [2, 4]

Find the average value of the function over the given interval. f(x) =8/x^2 , [2, 4]

Consider the definite integral ∫13 (-4x-5)dx Find a closed form expression for the nth right Riemann sum of this integral. ...

a. 2tan^2(theta)tan^4(6) b. tan^2(theta)-tan^4(6) c.-2tan^2(theta)+tan^4(6) d.-2tan^2(theta)-tan^4(6)

y=x2+1

n ∑ 4i+3/n2 i=1

Integral is the square root of 36-x^2 with bounds from -6 to 6 . b) Find and approximation of the area of the region using 6 subintervals of equal width and the midpoints of each interval. You may...

Suppose that you tripled your demand function D(x) from part C. ie. you used 3D(x) in all your calculations (in the beginning in part c) in place of D(x). What is the price (rounded to the nearest...

Example of application of function, limits, differentiation and integration of each topic in your daily

A model for the amount of time it takes for the first customer to arrive at a store in the morning is modeled by the exponential distribution and the function f(x)equals one seventh...

e(x)=4x+2 total expenditure if the job takes 9 days how much money will be spent from 9th-24th ay? If the company wants to spend no more than $68 comma 400 on...

Water is being pumped from an inverted right circular conical tank at the rate of 36 ft^3/min. The tank, which stands vertex down and base up, has a height of 12 ft and a base diameter of 16 ft. How...

what is the mathematical term for 625 if its the product of five to the fourth power

You are growing bacteria. From your initial experiments, you know that these particular bacteria would double the size of their population every three hours in the presence of unlimited resources...

Find y' by implicit differentiation √(x+sec^2 y)=5

I also have to explain my reasoning

I also have to explain my reasoning

List all possible rational zeros of f (x)= 2x^3-4x^2+5x-3. Then determine the rational zeros.

A large snowball is melting so that it's radius is decreasing at the rate of 2 inches per hour. How fast is the volume decreasing at the moment that the radius is 3inches? HINT: volume of a sphere...

The marginal revenue of a certain commodity is R'(x) = −3x2 + 4x + 32 where x is the level of production (in thousands). Assume R(0) = 0 a.) find the demand function...

A particle travels along the x-axis in such a way that its acceleration at time t is a(t)=(sqrt(t))+t2 If it starts at the origin with an initial velocity of 3 that is s(0)=0 and v(0)=3 ...