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# Given f(x)=2x+5,simplify f(x+h)-f(x)/h

Suppose the annual cost per active-duty armed service member in a certain country increased from \$80,000 in 1995 to \$90,000 in 2000. In 1990, there were 2 million armed service personnel and this...

# Find C and a so that f(x) = Ca^x satisfies the given conditions.

Find C and a so that f(x) = Ca^x satisfies the given conditions.   f(1) = 25, f(2) = 125   a = ?

# Find an equation of the line containing the pair of points (-4, -7) and (0, 4)

Find an equation of the line containing the pair of points (-4, -7) and (0, 4)   Determine the vertex of the parabola:  y= 4x^2-80x+406

# find the roots and x3 for the follwing functions by using Newton's formula

1. Use Newton's method to approximate, correct to 5 decimal places, the x-value of the point at which the graphs intersect. In the process, choose x1 to be the left endpoint of the smallest interval,...

# Optimization Problems

A cylindrical can is to have a volume of 1L.  a) Find the height and radius of the can that will minimize the surface area b) What is the ratio of the height to the diameter? Do pop cans...

# Evaluate the limit in the following description

Evaluate the limit : lim (2+xe7/x)/(xarctan(x))                               ...

# Find the derivative of f(x)

Find the derivative of f(x)= x^2/3(x^4/3-x^1/3+x^-5/3)

# Differentiation

Given that y= (x2+1)n, where n is a positive integer, show that the ratio of dy/dx when x =1 to d2y/dx2 =1:n.     Thank you!

3. Let f(x)=S0x g(t)dt, 0<=x<=6, where g(t) is given by the graph below. Note: I'm using "S" as the definite integral sign. (a) Find the values x at which f(x) has a local...

# Find the integral?

Find the integral of (cos(2x) dx)/(sin^2 (2x)) from pi/12 to pi/4.    Answer: 1/2   Please show all your work.

# Find the volume of the solid obtained by rotating the region bounded by y = 2 and y = 1 + (x-2)2 about the line x = -1

Calculus question

# calculus area problem

Find the area of the region in the xy-plane bounded above by the graph of the function f(x)=4, below by the x-axis, on the left by the line x=4, and on the right by the line x=24

# What are the different ways of finding the area under a curve and how do they work? (Calculus) dfsuhduhfidlafjglkjdsg

Wondering what the different ways are of finding the area under a curve and with a quick explanation of how they work? (Calculus) ekjfahkhsd;fkd;shf;kashf;dshfklfh;

g(p)=10^p e^2p

# y=f(x)=4x3+3x-2

Find the dy/dx using f(x+?x)-f(X)/(?x)

# Evaluate the expressions. y = f(x), X =f(x)

Evaluate the expressions. y = f(x), X =f(x)   a. f(-1) = ?   b. f^-1(3) = ? c. f^-1(0) = ? d. (f^-1 * f)(3) = ?

# Optimization Problems

A piece of plexiglass is in the shape of a semicircle with radius 2 m. Determine the dimensions of the rectangle with the greatest area that can be cut from the piece of plexiglass.

# Quarter 1 POW #5

Two cars race around a circular track, in opposite directions, at constant rates. They start at the same position and meet every 30 seconds. If they move in the same direction, they meet every 120...

# Find tangent line to curve given a point..... very close just need alittle help.

Find tangent line to the curve, given a point:   Y= cosx - sinx      (Pi, -1)   I used the difference rule: (d/dx cosx) - (d/dx sinx)   -sinx...