An efficiency study of the morning shift at a certain factory indicates that an average worker who arrives on the job at 7:00 A.M. will have assembled f(x)=−x3+15x^2+15x units...

An efficiency study of the morning shift at a certain factory indicates that an average worker who arrives on the job at 7:00 A.M. will have assembled f(x)=−x3+15x^2+15x units...

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)...

The total average catch made by a hunting group varies by the hunting group size in the following way: Group Size Average Group Catch/Day ...

A shoe store orders shoes from the manufacturer and sells them at a mall. Storing shoes at the store costs $6 per shoe pair for a year. When reordering shoes from the manufacturer, there is a fixed...

An fruit grower knows from previous experience and careful data analysis that if the fruit on a specific kind of tree is harvested at this time of year, each tree will yield, on average, 132 pounds,...

A manufacture has been selling 1300 television sets a week at $390 each. A market survey indicates that for each $21 rebate offered to a buyer, the number of sets sold will increase by 210 per...

1. Find the points on the graph of f(x)=1/3x^3+x^2-x-1 at which slope is a)2 and b)0? 2. Give a position function s(t)=t+1/t+1. Find the equation of the velocity v(t)....

A stone is thrown straight up from the edge of a roof, 650 feet above the ground, at a speed of 12 feet per second. A. Remembering that the acceleration due to gravity is -32 feet per...

How do I find the asymtotes of the functions y=x/x^2+2x+1 y=x-1/x^5-4x^3 y=5x^2-10x+1/x/2

A stone is dropped from the edge of a roof, and hits the ground with a velocity of -125 feet per second. How high (in feet) is the roof?

A rancher wants to fence in an area of 1,000,000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence...

A baseball team plays in a stadium that holds 68000 spectators. With the ticket price at $9 the average attendence has been 28000. When the price dropped to $8, the average attendence rose to 34000...

given f''(x)=6x+2 and f'(-3)=2 and f(-3)=-5 find f'(x)=? and find f(4)=?

Proving identities

i know how to do the derivative part but I don't know what to do with the x=4

f(x)= x^3-x^2-8x+8 ;[-2,0] find the absolute maximum and minimum values of each function over the indicated intervale and indicated the x-values at which they occur

How do I create a form of y=f(x) that satisfies each set of conditions: A. Verticle asymptote at x=4, hole at x=0 B. Verticle asymtotes at x=-5 and x=1, hole at x= -1 C...

r= (1)/(2-sinθ)

In Calculus, are any number to the power of x treated as E^x when working with derivatives? (i.e. 10^x ... 10xln(10)

For some tasks, a sigmoid learning curve is used to model proficiency. Suppose the percent proficiency is given by the model P(t)=(100)/(1+100e^-.6t), where t is days of practice. Find...