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# Find the range of this function

The function f : C → C is given by f(z) = z² + 14.   What should I do to find the range of this function?

# Find the coefficient of x^2 in the expansion of [2x-(1/2x)]^6

In the expansion of the equation, find the coefficient of x2.

# A curve is such that dy/dx= 6/x^2 and (2,9) is a point on the curve. Find the equation of the curve.

The slope of the curve has to be found by the dy/dx= 6/x^2. It will most likely end up as a y-y1=m(x-x1) formula at the end.

# China's population in 1980 was 983 million; in 1990, it was 1,154 million.

Develop the mathematical model that represents China's population. (Write your model in terms of t, where t is the number of years after 1980. Let p represent China's population in millions. Round...

# Explain the vector statement in a geometric way.

Let a, b and c be different vectors in 3D space, where a + b = c.   Given the statement: a x b = c x b   Question:   Explain this statement geometrically...

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 dy/dx by implicit differentiation for y cos x = 1 + sin(xy)

Find dy/dx by implicit differentiation for y cos x = 1 + sin(xy)

# 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,...

# Evaluate the limit in the following description

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

0∫2(0∫¶/2 xsin(y)dy)dx

# 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!

# 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

# integral 1/ (x*e^x) dx

find the integral 1/ (x* e^x ) dx

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

# I have a word problem

Find 2 numbers such that one number is 1 unit greater than the second number and the sum of the squares of the numbers is a minimum.

# 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.

# 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...

# Find the derivative of f(x)

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

# 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;

# 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...