6,196 Answered Questions for the topic calculus

02/25/15

#### Asymptotes of functions .Help me please!

The equation of the oblique asymptote is y=kx+b. I have a function f(x)=(x^2+4)/sqr(x^2-4). I get the b infinite. Am I right or not? I am stuck in this. And I dont know how to wirte the equation.

02/24/15

#### Is it true that max(|f(x)|^2)=(max|f(x)|)^2? Where f:[a,b]?C and f is continuous.

Is it true that max(|f(x)|2)=(max|f(x)|)2? Where f:[a,b]→C and f is continuous.

02/23/15

#### Two numbers, x and y, add up to 10. What is the largest their product could be?

I don't know how to do this problem, help.

02/22/15

#### Could someone guide me in the right direction of solving this problem? The problem is: tan^-1(4x^2y)=x+2xy^2

I'm having trouble solving this problem.

02/22/15

#### Find F'(t) given F(t) = sin^-1(x) * (sqrt(sin(t)))

i dont understand this at all!! help me with this asap!!

02/22/15

#### Find dy/dx for the given function: y = 3csc(5x) - e^(1-x^2) + 3^x

csc = cosecant
confusing!!

02/21/15

#### linear approximation and derivative help

A right circular cone of height h and base radius r has total surface area S consisting of its base area plus its side area, leading to the formula: S= pi*r^2+pi*r*sqrt(r^2+h^2)Suppose you start...
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02/20/15

#### If f is a continuous function, what is the limit as h approaches 0 of the average value of f on the interval [x; x + h]

If f is a continuous function, what is the limit as h approaches 0 of the average value of f on the interval [x; x + h]

02/19/15

#### Find where function is discontinuous

Find where the function f(x)= (X+2) / x2-4 is discontinuous. Classify the discontinuities as removable or non-removable.

02/19/15

#### What happens to a line/curve from a flat map to a spherical map?

The scenario starts from the Earth (assumed as a sphere with radius r). The sphere is turned into a square map (cartography) and now I measure a curve on that map (gaining a polynomial function to...
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02/19/15

#### Given that f'(x)=lnx evaluate the limit as h approaches 0 (f(2+h)-f(2))/h

Please explain how to do this

02/19/15

#### derivative of x^cosx

i tried using ax(lna) and got xcosx(lnx) but I'm not sure if that's right or if I'm even done yet.

02/17/15

#### If h(x)=f(g(x))*g(x), then h'(1/2)= ?

If h(x)=f(g(x))*g(x), then h'(1/2)= ? Calculus, no calculator question.

02/15/15

#### Find the area of the region enclosed between y=4sin(x) and y=3cos(x) from x=0 to x=0.9p. Hint: Notice that this region consists of two parts?

how do I solve this?

02/15/15

#### Find the Taylor polynomials of degree 3 for f(x) = x^3 + 2x^2 + x - 2 about a = 1? Also explain the error in this polynominal

I have already found out the Taylor polynomial of degree 3
f(x) = x³ + 2x² + x − 2 ----> f(1) = 2 f'(x) = 3x² + 4x + 1 -------> f'(1) = 8 f''(x) = 6x + 4 --------------> f''(1) = 10...
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02/15/15

#### Let F(x) = -x^2+2x-3

Three part Question:( a ) Find the average rate of change of the graph of f between x=c and c+h.
( b ) Find the slope of the tangent line of the graph of f(x) at x=c by the definition.
( c )Find...
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02/11/15

#### Solve for X

Solve the following equation. If necessary, enter your answer as an expression involving natural logarithms or as a decimal approximation that is correct to at least four decimal...
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02/11/15

#### Find the inverse of the function

Find the inverse of the function of f(x)= LN(7-2x)
f^-1(x)= ????

02/11/15

#### Find the inverse of a function

Find the inverse of a function (if it exists) of h(x)= (x/2x+3)
h^-1(x)= ????

02/11/15

#### Simplified formula for a function

if f(x)= e^6x g(x)= 5x+3 h(x)= √x
Find a simplified formula for the function below:
f(g(x))h(x)

02/11/15

#### Estimate population as a function?

The population of a colony of rabbits grows exponentially. The colony begins with 5 rabbits; 5 years later there are 370 rabbits.
(a): Express the population of the colony of rabbits, P, as a...
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02/10/15

#### use integration by substitution to find the indefinite integral

use integration by substitution to find the indefinite integral
∫(x2+2)(x-1)7 dx

02/10/15

#### Scura makes sun block and their annual revenues depend on how much they sell.

Let x be the quantity of 5 oz. bottles of sun block that they make and sell each year measured in 1000's of bottles. Thus if x=10 then they make and sell 10000 bottles of sun block each year. If...
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02/09/15

#### s(x) = (3x - 3/ 2x + 8)3

Calculate the derivative of the function.
(3x minus 3 divided by 2x plus 8) all to the power of 3

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