The number x of printer cartridges that a store will sell per week and their price p (in dollars) are related by the equation x^2 = 1680 − 5p^2 If the price is falling at the rate of $1...

The number x of printer cartridges that a store will sell per week and their price p (in dollars) are related by the equation x^2 = 1680 − 5p^2 If the price is falling at the rate of $1...

Consider the following function: h(x)=x^3-8x^2-2x locate any relative extreme points. Relative maximum and relative minimum

for f(x)= x^2/x^2+3 a.) find the intervals on which f is increasing or decreasing b.) find the local max and local minimum values of f c...

What does it mean/ what are cases where M (value at which a sequence is bounded*) is not equal to the limit? & can a sequence be bounded and not have a limit? *separate answers...

A manufacturer has determined the marginal-cost function dc/dq below, where q is the number of units produced. If marginal cost is $90.00 when q=50 and fixed costs are $7000what is the average cost...

Consider the function f(x)=(7/x^3)-(3/x^5) -let F(x) be the antiderivative of f(x) with F(1)=0 -Then F(4)= ???????

1. ) Find all critical numbers for the function f(x)= x-1/x+1 2.) Find the interval on which f(x)= x-2 sin x, 0 less than or equal x less than or equal to 2pi is inc...

1.) f(x)= x ln x a.) find the intervals on which f is increasing or decreasing b.) find the local max and minimum values of f c.) find the intervals of...

Find the x-coordinate of the point of inflection of the function f(x)=x^3-x^2-x+1

A village wishes to measure the quantity of water that is piped to a factory during a typical morning. A gauge on the water line gives the flow rate (in cubic meters per hour) at any instant. The...

The velocity of a car is f left-parenthesis t right-parenthesis equals 10 t meters/sec. Use a graph of f left-parenthesis t right-parenthesis to find the exact distance traveled by the car, in meters,...

Twice a first number decreased by a second number is 6. The first number increased by four times the second number is 39. Find the numbers

A.) Find all critical numbers for the function f(x)= 2 sin x-x for 0 < x< pi B.) Find the extrema and extreme values of f(x)= x/x^2+1

Find all critical numbers for the function f(x)=x^3-12x^2

At a lemonade stand in NYC, the demand function for the number of glasses sold is: x = 700 - 400p where x is the number of glasses sold. The cost of running a lemonade...

Based on laboratory analysis, she determined that 22.6 kg of shellfish provide 3,670 calories. a) What is the caloric return rate one of these women earns from shell fishing (calories per hour)...

A cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. The material for the sides of the can costs 0.04 cents per square centimeter. The material for the top and bottom...

Find the point on the line 5x+3y+3=0 which is closest to the point (-3,3). =(?, ?)

If f is continuous and ∫0 to 8 f(x)dx=10, evaluate the definite integral. ∫ 0 to 2 f(4x)dx? please help

∫0 to 2 f(4x) dx