# Pre- Calculus

21,352 results, page 80

### Calculus

Evaluate the limit. as x approaches infinity, lim sqrt(x^2+6x+3)-x

### Calculus

Use continuity to evaluate. as x approaches 2, lim arctan((2x^2-8)/(3x^2-6x))

### Calculus (integrals)

Find the integral:8x^7+6/(x^8+6x)^2 I got ln(x^8+6x)^2 but apparently that is wrong.

### calculus

i need help with proving five steps of l hospitals rule for (ex^2-1)/x

### Calculus

Consider the function f(x) whose second derivative is f''(x)=5x+2sin(x). If f(0)=3 and f'(0)=3, what is f(3)?

### Fundamental Theorm of Calculus

Find the average value of f(x)=3x^2-2 x on the interval [3,6]

### Fundamental Theorm of Calculus

Find the average value of f(x)=7x^{-2} on the interval [1,5]

### Calculus Help!!!

Find c > 0 such that the area of the region enclosed by the parabolas y=x^2-c^2 and y=c^2-x^2 is 13.

### calculus

Evaluate to four significant digits log x = 5.3027

### calculus

at what point do the graph of the function f(x)=(x^2)+4x-1 have a horizontal tangent?

### Calculus 1

Find all the points on the ellipse 3x^2-xy+y^2=64 that lie on the line y=3x

### Calculus HELP!!

6 2 6 Let u = 4 , v = 2 , w = 2 5 3 1 Show that 2u - 3v - w = 0. Use that fact to find x1 and x2 that satisfy the equation 6 2 6 4 2 {x1} = 2 5 3 {x2} 1

### Calculus

Find the critical numbers of the function. h(t) = t3/4 − 5t1/4

### Calculus

write in parametric form the equation of the line that joins (1,-2) and (3,0)

### Calculus

Where does the line through (1,0,1) and (3,−2,5)intersect the plane x+y+z=10? (x, y, z) =________?

### Calculus

Find the distance from the point to the given plane. (1,−5,9), 3x+2y+6z=5

### calculus

Use the principles of translating and reflecting to graph the function f(x)=(x-5)^3 +2

### calculus

Find the equation of the tangent line to the ellipse x 2 + 4y 2 = 25 when x = 3 and y < 0. Answer 3x - 8y = 7 3x - 8y = 25 3x + 8y = 7 3x + 8y = 25

### calculus

Find the area of the region under the curve y = 16 e ^{4 x} between x = -1.4 to x =1.4 .

### Calculus

Can someone help me with finding the derivative of this function? y = -( csc x)2 (cos-1(1-x2))

### Calculus Help

In the following x,y and (a) are all variables. Show steps please! Thank you! 1) y^2 = x^2+a^2 2) y^2+ay = x^2+ax+a^2

### Calculus

Find the slope of the tangent line to the ellipse x^2/4 + y^2/16= 1 at the point (x,y)

### calculus

Recall that the volume of a sphere of radius r is V(r) =4\, \pi\, r^3 /3. Find L, the linearisation of V(r) at r=50

### Calculus

Find the polynomial end-behavior asymptote in the graph of f(x)=(2x^3 +6x-1)/(x+2)

### Calculus II

using integration by partial fraction, prove that pi + integral from 0 to 1 of x^4(1-x)^4/1+x^2 = 22/7

### Calculus II

the gamma function r(x) is defined by r(x)= integral from 0 to infinity of x^n-1(e^-1)dx. find r(1), r(2), r(3)

### Calculus

Evaluate ∫(2x^3/√(1-x^4))dx I can't figure out what u and du is... please help thanks

### calculus help

find y' and y'' for the equation below. Show work please!!! y= (x^3)/((x+1)^2)

### Calculus

Limit as x approaches 0 of x(1-cosx)/t-sinx. Confused on how to get this answer.

### calculus

x(t)=3t^3-40.5t^2+162t find where object is speeding up or slowing down

### Calculus Please Help3

Find the area of the region. 2y=3sqrtx, y=5 and 2y+2x=5 ty

### calculus help

find the derivative of the function. integral cos(x) to sin(x) ((ln(8+3v))dv)

### calculus help

find the derivative of the function integral from cosx to sinx (ln(8+3v)dv)

### calculus

Find the interval of convergence of the series. ∑(sinx/10)^n

### calculus

Identify the open intervals) where the function f of F(x)= x√10-x^2 is increasing.

### Calculus

Compute the absolute and relative errors in using c to approximate x. x=e;c=2.68

### Calculus

Given f(x) = csc^4(5x^2-3x+1), find f'(x). Show all work.

### Urgent Calculus Help 2

Find the equation of the tangent line to the graph of f(x) = 6x ln(x + 4) at x = 2.

### calculus 2

use the simpsons rule with n=10, arc length y=^3√x, for 1<=x<6

### Calculus

use the simpson's rule with n=10 to estimate arc length of y=x^(-1/3), for 1<=x<6

### Calculus-Math

Complete the table. y = f(g(x)) u = g(x) y = f(u) y = (x + 18)^(-1/2) u = ? y=? Use the chain rule.

### Calculus-Math

Find the derivative of 4 sec^7 (πt − 6)?

### calculus

How to find the x and y coordination of all inflection points? f(x) = x^4- 12x^2?

### calculus

Find the derivative of (6x^2+4y^2)/(3x+7y)=3 using implicit and quotients rule. Thank you!

### Calculus

Simplify the expression cot (cos−1(x)). Not sure how to do this.

### calculus

Find the linear approximation of f(x)=\ln x at x=1 and use it to estimate ln 1.12. L(x)= . ? ln 1.12 \approx ?

### Calculus

Use the product rule to find the derivative of the following. k(t)=(t^2-4)^2 k'(t)=

### Calculus

1. On what interval is the function f(x)=x^3-4x^2+5x concave upward? My answer: (4/3, infinity) ?????

### calculus

find the derivative of the function y=log absolut power 2-x

### Calculus

can you please explain the chain rule in simple terms. thank you

### Calculus

can you show me how to solve an equation using the chain rule

### Calculus

did i use the chain rule correctly? y=(8x^4-5x^2+1)^4 d(f(x)/dx =d/dx ((8x^4-5x^2+1)^4) =4*(8x^4-5x^2+1)^3*d/dx(8x^4-5x^2+1) =4*(8*d/dx(x^4)-5*d/dx(x^2))*(8x^4-5x^2+1)^3 =4*(8*4x^3-5*2x)*(8x^4-5x^2+1)^3 =4*(32x^3-10x)*(8x^4-5x^2+1)^3

### Calculus

Find the general indefinite integral ∫ v(v3+5)2dv

### Calculus

6) Evaluate the indefinite integral. ∫cosx/(7sinx+35)dx

### Calculus

Determine the limit as x approaches 1 f(x) if f(x)={3-x, x does not equal 1 and 1, x=1 A. 2 B. 1 C. 3/2 D. DNE E. None of these

### Calculus

Find limit as x approaches -1 (x^2+2x+3)/(x^2+1) A. 0 B. 1 C. Infinity D. DNE E. None of these

### Calculus

Find the limit as x approaches 0 [(sqrt(x+9))-3]/x A. 0 B. 1 C. Infinity D. 1/3 E. None of these

### Calculus

Find limit as x approaches -1 (x^2+2x+3)/(x^2+1) A. 0 B. 1 C. Infinity D. DNE E. None of these

### Calculus

Determine the equation of the normal line y=x^2+5 at the point (2, 9) I got y= 4x+1

### Calculus POwer RUle

If the slope of the curve y=−kx^3+ 3k at x=-2 is 3, then what is the value of k?

### calculus

Please i need help with this. Find the area bounded by the curves y0…5 - 4x = 0, 2x - y - 4 = 0

### Calculus

Integration with trig functions Integral of [(1-sinx)/cos^2x] dx

### Calculus

Calculate the area of the bounded region between the curves y^2=x and 3y = -3y + 9 ?

### Integral Calculus

How to determine the order and degree of this differential equation, (y''')^2-2(y')^6=x-2

### Calculus

For how many values of x will the tangent lines to y=4sinx and y=x^2/2 be parallel? A. 0 B. 1 C. 3 D. 4 E. Infinite

### Calculus

For how many values of x will the tangent lines to y=4sinx and y=x^2/2 be parallel? A. 0 B. 1 C. 3 D. 4 E. Infinite Thanks.

### Calculus

Determine the slope of the tangent to the function f(x)=5e^x - 2e^(2x) at the point with x-coordinate x=1

### CALCULUS

Consider the function f(x)=9x3−4x5. Let F(x) be the antiderivative of f(x) with F(1)=0. Then F(4) =

### Calculus

find the area of the region bounded by the curves y=x^2-1 and y =cos(x)

### Calculus

If 3(a,3,2)-2(3,b,b)=(-3,1,-2) determine a and b. Describe the set spanned by the vectors. I don't know how to answer this

### calculus

Use table of integrals to evaluate the integral of x^4 sinxdx.

### Calculus(URGENT PLS!!!)

Find the integral of (e^cosx)sinx

### Calculus

Solve the following differential equation with initial conditions: y"=e^(-2t) + 10^(4t); y(0)=1, y'(0) = 0

### calculus

find the derivative of the function at the given number F(x)= 1/ √x at 4

### Calculus

Let f : R --> R be an odd function. Explain why, for any positive number a, the integral from -a to a of f(x) = 0.

### Calculus 1

True or false. Explain. The line x=1 is a vertical asymptote of f(x)=(x^2+x-2)/(x^2-1)

### Calculus

Find the integral of x/cos^2(x^2)dx The answer is 1/2 tan (x^2) + C. Where does the 1/2 come from?

### Calculus

Givenƒ(x) = ex, verify that lim h->0 (e^x+h - e^h)/h + e^x and explain how this illustrates that ƒ′(x) = ln e • ƒ(x) = ƒ(x)

### calculus

a particle moves according to the law a=1/t √t. if s=8 when t=1. and s=16 when t=4. find v when t=9.

### calculus

Find the equation of the curve for which y'=3x² and which passes through (1,-1).

### Calculus 1

Find the exact value of each expression. (a) cot^-1(sqrt(3))

### Calculus

Find the equation of the tangent line to f(x)=sec x - 2 cos x at (pi/3, 1).

### calculus

Find the area bounded by the curve y=1/2+2, the x-axis, and the lines x=1 and x=4. a.7 1/2 b.10 2/3 c.16 d.28 1/2

### calculus

hey guys, quick question (-8 +- sqrt -20)/-6 what does this equal

### Calculus

How can I show that the function F (x)= the integral from 2x to 5x of 1/ t dt is constant on the interval (0, +∞).

### Calculus

Maclaurian' series example "f(x)=tanx" give me answer

### Calculus 1

Find the equation of the tangent line to the curve y = (9 ln x)/x at the points (1, 0) and (e, 9/e).

### Calculus 1

Find the linear approximation of the function g(x)=cube root(1+x) at a=0.

### Calculus

Find constants a and b in the function ax^b/ln(x) such that f(1/5)=1 and there is a local min at x=1/5

### Calculus

Evaluate the integral. (Remember to use ln(|u|) where appropriate.) cot^3(3x) dx

### Calculus

Find the area of the unbounded shaded region. Y= 7/ SQRT 7-X

### Calculus

Find the area of the unbounded shaded region. Y= 7/ SQRT (7-X)

### Calculus

Evaluate using long division. The integral of x/6x-5 dx How do I divide this?

### Calculus 1

Find the local maximum and minimum for the function f(x)=2x^3-3x^2-120x+10

### Calculus

Evaluate using long division. The integral of x/6x-5 dx How do I divide this?

### Integral Calculus

Integrate (tan^-1 X)/(1+x²) dx please help, I don't know how to start this one

### Integral Calculus

Integrate (tan^-1 X)/(1+x²) dx please help, I don't know how to start this one

### Mulitvariable Calculus

How to proof tangential and normal components of a vector Thank you

### Calculus

Solve the following problem by separation of variables. T^2y'-t=ty+y+1 Y(1)=0 Y is a function of t.