# Pre- Calculus

21,247 results, page 99

### Calculus

Instructions were evaluate the integral. (x/1-x^4) dx I know that this form is the tanh inverse 1/1-x^2 but not sure how to substitute and start this problem. Please Help.

### Calculus

Instructions were evaluate the integral. (x/1-x^4) dx I know that this form is the tanh inverse 1/1-x^2 but not sure how to substitute and start this problem. Please Help.

### calculus

dy/dx=(1+Lnx)y and if y=1 when x=1, then y=? i know i have to find the integral by multiplying dx to the other side and bringing y to left. and i got Ln(y)+ C = x + 1/x + C what do i do next. ln(y)=x+1/x+c e^(ln(y))=e^(x+1/x+c), so y= e^(x+1/x+c) y= Ce^(x+1/x)

### Calculus Help!!!

Find an equation for the tangent and normal to the curve x^2+y^2=9 at x=1 Do you have to simplify the problem to get y on one side. or is your u=x^2 v=y^2 du=2x dv=2y if so then what next?

### Calculus

An equation of the line tangent to the graph of y=(2x+3)/(3x-2) at the point (1,5) is...do I take the derivative of y=(2x+3)/(3x-2) to find the slope and then plug that into y-5=m(x-1)?

### Calculus

If M is 30% of Q, Q is 20% of P, and N is 25% of P, then M/N equals which of the following? (a) 3/250 (b) 3/25 (c) 1 (d) 6/5 (e) 4/3 When I do this problem I keep getting 6/25, but that is not one of the choices. Any help would be greatly appreciated.

### Calculus

Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the constants: 4x + 1/(x + 6)(x - 5) I came up with A/x + 6 + B/x - 5

### math calculus

Find the are under the given curve y=square root of x + 1 from x=0 to x=9 Please walk me through each step.

### calculus

how to take the integral of cos(square root of x) dx. need to use substitution and integration by parts but I don't know what to substitute

### Calculus

I'm having trouble with this one. Problem: Find the equations for the planes parallel to x+2y-2z=1 and two units away from it.

### calculus

Find the total distance traveled by the particle moving along a straight line with velocity v=sinpit for 0<t<2.

### calculus

test the series for convergence or divergence. the sum from n=1 to infinity of ((-1)^n*e^n)/(n^3) I said it converges because the derivative of (1/n^3) is decreasing is this true?

### Calculus

Let f(x)=9sinx/2sinx+4cosx Then f'(x)=________ . The equation of the tangent line to y=f(x) at a= pi/2 can be written in the form y=mx+b where m= _____and b=_____

### Calculus

Solve the first-order initial value problem using half angle formulas {y'(x)= 1 + sin^2 x y (0)= -7

### Calculus

I am having a lot of trouble doing these types of problems. Can someone show me how to do this. Thank you for your time. Evaluate the definite integral 4 x(x+3)dx 0

### Calculus

Use the quotient rule to find f'(x): f(x) = [(x+4)(x-5)]/[2x(x+3)] For the first part...do I put them together? Can someone please complete this.

### Math:Calculus

Determine vector and parametric equations for the plane containing the point P0(1, -2, 3) and having direction vectors a= (4, -2, 5) and b = (-3, 3, 7). Thanks for the help.

### Summer School Calculus

Not sure of this: Describe three situations in which you may want to know the projection of one vector onto another. Merci for the help!

### Calculus

I need help with this problem: Let f(x)= sqrt(x-3) and g(x)=(x^2)+1 a. Compute g(f(x)) b. State the domain of g(f(x)) in interval notation. I got x-2 for a, but i do not understand b. Help please

### Calculus

Find the volume of the solid generated by revolving the region enclosed in the triangle with vertices (4.6,4.6), (4.6,0), (6.7,4.6) about the x-axis.

### Calculus

Find a formula for the following function. A parabola opening downward with its vertex at (6,1) and y -intercept equal to -35. (y-1)^2=4(-35)(x-6) Please help

### calculus

find the following derivatives: f(x) = (2x+5)/(x^2-3) f'(x)= (2)*(x^2 -3)-(2x+5)*2x/(x^2-3)^2 is that correct??? f(x)= (lnx)(cos x) f'(x)= 1/x*-sinx or do i have to use the product rule?? thank you.

### calculus

find solution to differential equation given the initial conditions DQ/dt=Q/5 Q= 50 when t= 0 i don't understand this one because of the division sign.

### Calculus

Here's another one - I think that I am starting to understand it. Find dy/dx by implicit differentiation: x^7 = cot y My answer is csc^2y / 7x^6

### calculus

use limit process. find area of region between graph y= -3x + 20 and the x-axis ove the interval [0,5]

### Calculus

Use integration by parts to find the given integral: ∫_9^1 (7t - 42)e^(7 - t) = [-28(1 + e^8)] / e^2 Is my answer correct? or... is it.. = -70e^(-2) + 14e^6

### calculus

f(x)= 7-5x^4 How would find the the absolute max and the x value? I think you have to take the derivative which is -20x^3 but then I am lost??

### Calculus

I am having a mental block. I have the answer to the question. It is (-‡,‡). I just need help figuring it out. The equation is: x^2+1>0

### Calculus

[Linear Approximations and Differentials] I tripled checked my work but I'm still not getting the correct answer. y=3x^2 x=3 & delta x =0.2 I get 3(3.2)^2 - 3(3) = 21.72

### Calculus (trig stuff)

How do I do these type of problems find the exact value. Do not use a calculator cos 7pi

### Calculus

Another volume problem...My given curves are y=1+x^2 and y=9-x^2, rotated about the line x=-1. Am I solving in terms of y for the integral? And are my bounds -2 to 2?

### calculus

How large does N have to be in order to approximate the integral of cos(x^2) from 0 to 1, using the Midpoint Rule, with error at most 10^(-6)?

### Calculus

Could you please help me with this question: Determine the values of x so that the tangent to the function (y=3/cubic root of x) is parallel to the line x+16y+3=0 Thank you

### calculus

What would be the force required to push a 100 lb. object along a ramp that is inclined 10 degrees with the horizontal?

### calculus

Find an equation of the plane orthogonal to the line (x,y,z)=(-4,-9,9)+t(-8,-1,5) which passes through the point (-9,9,-4). Give your answer in the form ax+by+cz=d.

### Calculus

Verify that the volume of a cylinder of radius r and height h is given be the formula v= pi*r^2*h using cylindrical shell method.

### calculus

Please can someone help. I need to use the composite rule to differentiate the function f(x)=(x^2-6x+23)^3/2. Any help would be greatly appreciated.

### calculus

Let g(x)=|cos x-1|. The maximum value attained by g on the closed interval [0, 2pi] is for x equal to A) -1 B) 0 C) pi/2 D) 2 E) pi I think its pi/2 but I'm not sure at all.

### calculus

Find an equation of the tangent line at x = 0 for the given function. f(x) = 5x2 + cos(x) I really need help on this one.

### Calculus

Use mathematical induction to prove that each proposition is valid for all positive integral values of n. 5^n + 3 is divisible by 4.

### Calculus

Use cylindrical shells to find the volume V of a right circular cone with height 7h and base radius 4r.

### Calculus..Need Help Soon

If f(x)=1-x^3 and f^-1 is the inverse of f, how many solutions does the equation f(x)=f^-1(x) have? a)none b)one c)three d)five e)six

### Calculus

Suppose that f (x) is a function such that the relationship given below is true. f (3 + h) - f (3) = 9h^2 + 8h (a) What is f '(3)? (b) What is the slope of the secant line through (3, f (3)) and (7, f (7))?

### Calculus

Simplify as much as possible: e^3ln5 Does the three become an exponent on 5? So.. =e^ln5^3 =25 Can someone verify this for me please?

### Calculus

integral of 2sin^3xcosx dx that is a sin cubed x. i think i use u-substituion, but im not quite sure how to do it. please help and thank you!

### Calculus

Suppose f(x) = x ^ 4 – 4x ^ 2 + 6, and g(x) = 3x ^ 3 – 8x. Prove, via the Intermediate Value Theorem, that the functions intersect at least twice between x = –2 and x = 4.

### Calculus

What are the coordinates of the points at which the slope of a function with the equation y=x^4-8x^2 is equal to zero? Please help me to understand how to approach this question.

### Calculus

The base of a certain solid is the triangle with vertices at (-10,5), (5,5), and the origin. Cross-sections perpendicular to the y-axis are squares.

### Calculus

Hello! I am a little stuck (probably because I cannot remember my trigonometric functions). Does anyone know how to solve this equation? [-sin(x)]^2-2cosx

### Calculus

Hello! I am a little stuck (probably because I cannot remember my trigonometric functions). Does anyone know how to solve this equation? [-sin(x)]^2-2cosx

### calculus

The base of a certain solid is the triangle with vertices at (-10,5), (5,5), and the origin. Cross-sections perpendicular to the y-axis are squares.

### AP Calculus

a continuous function f has domain (1,25) and range (3,30). if f'(x) is less than 0 for all x between 1 and 25, what is f(25)? a)1 b)3 c)25 d)30 e)impossible to determine from the information given

### calculus

Find the volume of the solid obtained by rotating the region bounded by the given curves about the line x=-3 y=x^2, x=y^2

### calculus please help

Use the four step process to find the slope of the tangent line to the graph at any point: f(x) = -1/2(x^2)

### calculus

Evaluate the limits without using a calculator. Justify all steps in the solutions. lim x-->0 x^7cos(3/x)

### calculus

Evaluate the limits without using a calculator. Justify all steps in the solutions. lim x-->0 x^7cos(3/x)

### Calculus

Solve the differential equation. t(dy/dt) + 2y= t^3 t>0, y(1)=0 I think I solved it properly, I'm just trying to check my final solution.

### CALCULUS 3

Use the triple scalar product to determine whether the given points lie in the same plane. A(1, 2, 3), B(3, -4, 8), C(7, -1, 1), D(5, 5, -4)

### calculus

Use analytic methods to find the global extreme values of the function on the interval and state where they occur. y=x(2-x)^(1/2), -2<=x<=2

### Calculus 12th grade.

Find the area lying above the x axis and below the parabolic curve y= 4x -x^2 a.8 b. 8 1/3 c. 10 2/3 d. 16 B or C not sure??

### Calculus

Find the dereivative of: y =((x^2+1)/2)^6 I really don't know the process to do these one, I tryed to use the quotient rule but then I don't know how to do with the ^6 so I don't think that's the way to do it...

### calculus

Whatt is the equationn in vertex form whose graph has a maxium pointt att (-2,6) and passes through (1,-5)?

### calculus

The approximation to the area under the graph of the function f(x)= 1/(1+x^2) on the interval [-1,1], using four rectangles and the midpoint rule is

### calculus

In still water, Maria can paddle at the rate of 7 km/h. The current in which she paddles a speedof 4 km/h.At what valocity does she travel downstream? has

### Calculus

Express the region inside the leaf of the rose r=2sin2? in the first quadrant as an iterated integral over R?

### calculus

Just want to check and see if I am setting this up right. Let y=f(x)=x^2-6x Find the average rate of change of y with respect to x in the interval from x=4 to x=5 (5^2-6*5)- (4^2-6*4)/ 5-4

### calculus

if a rocket is launched upward at 80fett per second. what will its height be at (t) seconds later s= 80t-14t^2

### integration (calculus)

Find the indefinite integral. ∫((e^-x-1)/(e^-x + x)^2) dx I am trying to use the substitution method. u=e^-x + x du= -e^-x+1 dx Right so far?

### Calculus

Find the largest and smallest values of the given function over the prescribed closed, bounded interval of: f(x)=(3x-1)e^-x for 0<x<2

### Calculus

Find the derivative of: y= 5^x + 15/x^6 I'm assuming I need to take the natural log of each side, but I get stuck after that part.

### calculus infinate sums

how many terms of the series 1/(n*(ln(n)^8)) from n=2 to infinity would you have to add to find the sum to within 0.01

### Calculus

Find the distance traveled in 45 seconds by an object traveling at a velocity of v(t) = 20 + 2cos(t) feet per second.

### calculus

Find the derivative of the given function. Simplify and express the answer using positive exponents only. y= ((9x^2-4)^3/7x^2+4)

### calculus

Find the distance traveled in 45 seconds by an object traveling at a velocity of v(t) = 20 + 9cos(t) feet per second.

### calculus

Gah. Struggling over this for the past 20 minutes... Find the slope of the line tangent to the curve y=1/x at the point (2,0.5).

### Calculus

Could anyone please help me figure out the discontinuity that is removable of the following function?? Any help would be greatly appreciated! Thanks in advance!!! f(x)=4x/x^2+x-2

### calculus

Find the derivative of the function. y=cos((1-e^x)/(1+e^x)) Please show all work and explain. I am very confused

### Calculus

Determine the x-value for each inflection point on the graph of the following function. f(x)=3x^5-5x^4-80x^3+360x^2+1000x+850

### Calculus

Determine the x-value for each inflection point on the graph of the following function. f(x)=3x^5-5x^4-80x^3+360x^2+1000x+850

### calculus

Find a point c satisfying the conclusion of the Mean Value Theorem for the following function and interval. f(x)=x^−1 [1,9]

### calculus

fourth degree polynomial p(x) whose graph is symmetric about the y-axis, and which has a y-intercept of 10, and global maxima at (1,13) and (-1, 13).

### calculus

find the domain of the following function. State your answer in interval notation. f(x) = 5x + 10/ x + sqrt -26x - 169

### calculus(QUICK QQUESTION!!)

if f(t) were continious on the interval [-2,1] but youo were only given the function for t=-2,-3/2,-1,-1/2 ..,3/2 and 2, explain how would you apporximate f'(1)

### Calculus

Compute the volume of the solid formed by revolving the fourth quadrant region bounded by y = x^2 - 1 , y = 0, and x = 0 about the line y = 6.

### Calculus

Compute the volume of the solid formed by revolving the fourth quadrant region bounded by y = x^2 - 1 , y = 0, and x = 0 about the line y = 9.

### calculus

find the volume of the solid obtianed by rotating the region bounded by the given curves about the line x=6 x=y^2 , x=1

### calculus

evaluate the following indefinite integrals by substitution & check the result by differentiation. ∫(sin2x)^2 cos2xdx

### calculus

Use the limit process to find the area of the region between the graph of the function f(x)= x^3 and the x-axis on the interval [0,2]

### math-calculus

x^2+9xy+20y^2 i never deal with something like this before i come up with (x+4)(x+5) but that wrong because y have to be there how i do this?

### Calculus

Find a function f(n) which gives the rightsum approximation for the area under the given curve from x = 3 to x = 9 using n rectangles.

### calculus

2. Let f(x) = ksin(kx), where k is a positive constant. Find the area of the region bounded by one arch of the graph of f and the x-axis

### calculus

Use Lagrange multipliers to find the max/min values of the function f(x,y)=xy subject to the constraint: x^2/8+y^2/2 =1 Pleasssse help me with this!!

### Calculus AB

Evaluate the indefinite integral of (ln(x))/(x + xln(x)) dx by using variable substitution. Show all steps of your work.

### Calculus AP

implicit differentiation Find the slope of the tangent line to the curve xy^3 + 2y - 0.76 =0 at the point (-3, o.7) I'm lost. so 3xy^2 * y' + 2y = 0 right?

### calculus

A period of time is measured as 362 seconds correct to the nearest second.find:the absolute error,

### Calculus Grade 12 University

Determine the critical numbers and find the absolute maximum and minimum values of the function y = 8x^3 + x^4 for x e [-8,2]

### calculus

a radiotactive isotope lose 1/5 of its atoms in a sample decay after 14 years. find the half life.

### calculus

P2 has a mysterious inner product * for which {x+4, 3x-5} is an orthonormal basis. IS there enough information to tell what is the length of 1? If so, compute it. If not say why not.

### calculus

P2 has a mysterious inner product * for which {x+4, 3x-5} is an orthonormal basis. IS there enough information to tell what is the length of 1? If so, compute it. If not say why not.