# Pre- Calculus

21,228 results, page 100

### Calculus

Find the number of cells present after 9 days given the function: f(x)=111.6e^(.44794t)+288.4

### Calculus

use the mean value theorem to find the c's on the open interval (a,b) such that fprime(c)= (f(b)-f(a))/(b-a) f(x)= 3xlog(base 2)x , [1,2]

### calculus!

Use differentials to approximate the maximum error propagated when calculating the volume of a sphere, if the radius is 5 + or - .01 meters

### Calculus

Find the inflection points of f(x)=8x^4+46x^3-18x^2+1. (Give your answers as a comma separated list, e.g., 3,-2.) Please Help!!!!!

### calculus

explain in your own words the process used to conclude that the derivative of a cubic function is a quadratic one

### calculus

A Construction Company uses the function below to determine the cost “C” in dollars for risk management. C(x)={(35 if 0<x<3 AND 35+10(x-2) if x≥3)

### Calculus

Consider f(x)=x^3-x over the interval [0,2]. Find all the values of C that satisfy the Mean Value Theorem (MVT)

### calculus

okay i need to find the derivative of f(x)=cosπ(x^2) and if you could show steps it would be GREATLY appreciated. thank you so much!

### Grade 12 AP calculus

You are using Newton's method to solve x3-5x-2=0. If your first guess is x1=2, what value will you calculate for the next approximation x2?

### Calculus

A rectangular microprocessor chip is designed to have an area of 121mm^2.What must its dimensions be if its perimetar is to be a minimum?

### calculus--please help!!

Graph the function using transformations show your work and state. A. the domain b. the range c. the asymptotes f(x)=4-1/(x+6)^2

### Adv calculus

1. What is the maximum integer n such that 3^n is a factor of the product of all the odd inegers between 1 and 200?

### calculus

Solve the equation in the real number system X^4+11x^3+24x^2-23x+35=0 Please show work

### calculus

solve the following exponential equation 9^x=6 I get In6/In9 what is the answer approximated three decimal places?

### calculus

use implicit differentiation to find an equation of the tangent line to the curve at the given point. 9x^2+xy+9y^2=19, (1,1) (ellipse)

### calculus

Using Young’s rule, if the patient is 3 years old, how much Pepcid is given per dose?

### Applied Calculus

Find the derivative of the function. g(t) = ((8t + 10)^2)*(((10t^2) - 7)^-3) I am supposed to use The Chain Rule. However, I am confused as to how to do this.

### calculus

use implicit differentiation to find dy/dx . Then evaluate the derivative function at the designated point. x2y2 − 1= 0;(0.5, 2)

### calculus

use implicit differentiation to find dy/dx . Then evaluate the derivative function at the designated point 2xy2 – y = 10; (1, −2)

### Calculus

Determine if the series converges or diverges. Sum (n=1, infinity) (2*4*6...2n)/n! My main problem is I have no idea what to do with the numerator.

### Calculus

Use implicit differentiation to write the slope-intercept equation of the tangent line to the graph of (x^2+4)y=8 at the point (2,1):

### Calculus

Use implicit differentiation to write the slope-intercept equation of the tangent line to the graph of (x^2+4)y=8 at the point (2,1):

### Math- Calculus

find the dimensions of a rectangle of maximum size that will fit into a half circle of radius 30 cm.

### calculus

The volume of the 3-dimensional structure formed by rotating the circle x^2 +(y−5)^2 =1 around the x-axis can be expressed as V=að^2 . What is the value of a

### calculus

The volume of the 3-dimensional structure formed by rotating the circle x^2 +(y−5)^2 =1 around the x-axis can be expressed as V=a*pi^2 . What is the value of a

### Calculus

Determine the equation ofthetangent line in slopeintercept form at x=1 of y^3 +2x^2=1 at x=1. Please show work so I can follow the process. Thanks!

### Calculus 3

Let G be the region in the first octant that is inside both the cylinders x^2+y^2=1 and y^2+z^2=1. Use a triple integral to evaluate the volume of G.

### calculus

find the derivative of the following: 3x^2 ln(2x) e^2x ln√x+3 please try and show few steps and laws of logarithmics.

### calculus

the function s(t)=(t^2+t)^2/3, t>0, represents the displacement s, in metres, of a particle moving along a straight line after t seconds

### Math (Calculus) (Implicit Differentiation)

The equation of the line tangent to (x^2+y^2)^4=16x^2y^2 at (x,y)=(−1,1) is ay = bx + c, where a, b and c are positive integers. What is the value of a+b+c?

### Calculus II

Find the sum of the series (infinity above sigma) signma and n = 4 3^n-2 divided by 2^2n-3 please I really need help on this

### Calculus

Use Green's theorem to evaluate the integral: y^(2)dx+xy dy where C is the boundary of the region lying between the graphs of y=0, y=sqrt(x), and x=9

### Calculus

Use Green's theorem to evaluate the integral: y^(2)dx+xy dy where C is the boundary of the region lying between the graphs of y=0, y=sqrt(x), and x=9

### Calculus

Use Green's theorem to evaluate the integral: y^(2)dx+xy dy where C is the boundary of the region lying between the graphs of y=0, y=sqrt(x), and x=9

### Calculus Grade 12

Find the equation of the plane that passes through the point (3,7,-1) and is perpendicular to the line of intersection of the planes x-y-2z+3=0 and 3x-2y+z+5=0

### diffirential calculus

express the surface of a right circular cylinder a function of its volume assuming the height is constant

### calculus

Write the form of the partial fraction decomposition of the function do not determine the numerical values of the coefficients. 1/x^4-2401

### AP Calculus

Find an equation of the tangent line to the graph of f at the given point. f(x)=27/(x^2+9) (-3,3/2) I got y=x/2+3, but I don't think its right.. please help!

### calculus

find the area enclosed by the given curves. y=squareroot of x y=x/2 x=9 * i just graph it but do not know how to set it up the equation or anything.

### Calculus

Find the Indefinite Integral without u substitution of the following a)(8x-3)/(12x^6) b) 2sqrtx(5x-6) c) (4x+3)/xsqrtx d) (5x-6)^2 / sqrt x e) 16x^2 + x - 20 / 4x^2

### Calculus

List the critical numbers of the following function in increasing order. Enter N in any blank that you don't need to use. f(x) = (6x+6)/(5x^2+5x+5)

### Calculus II

A cable that weighs 1.5 lb/ft is used to lift 700 lb of coal up a mineshaft that is 400 ft deep. Find the work done.

### multivariable calculus

Studying for a test, and saw this: Find the center of mass of the hemisphere x^2 + y^2 + z^2 = a^2; z>=0 if it has constant density. Any ideas?

### Calculus

Solve the seperable differential equation 8yyŒ =x. Use the following initial condition: y(8)=4. Express x^2 in terms of y.

### calculus I

Find the dimension of the right circular cylinder of the largest volume that can inscribed in a Sphere of radius 10 units.

### Calculus Help and Check

Find dy/dx by implicit differentiation. x^5(x + y) = y^2(9x − y) this is what i've got so far but I don't think it is the right answer. y'= 9y^2-6x^5-5x^3y/x^5+9y^2-18xy

### Calculus Help Please!!!

Find an equation of the tangent line to the curve at the given point. ((pi/6),(2 square root of (3)/3)) y = sec (x)

### Calculus

A point moves along the curve y= x^3 -3x + 5 so that x= 1/2 square root t + 3 where t is the time. At what rate is y changing when t = 4? Need some help!!!

### calculus help

What constant acceleration is required to increase the speed of a car from 22 mi/h to 50 mi/h in 3 s? (Round your answer to two decimal places.)

### Calculus

Evaluate the integral of 4x^2(2+x^3)^9 dx. I'm supposed to use the substitution rule but I have absolutely no idea where to start with this problem.

### calculus

An electron, travelling at 2000 m/s, is suddenly influenced by an extreme deceleration of 3000 m/s2. How fast is it going 0.03 s later?

### calculus

Find a point c satisfying the conclusion of the Mean Value Theorem for the function f(x)= x^1/3 on the interval [1,8] I got f'(c)= 1/7 but am not sure where to go from there.

### Calculus-Math

Complete the table without using the Quotient Rule. Function y=2x^(7/2)/x Rewrite y= Differentiate y'= Simplify y' =

### Calculus

Use implicit differentiation to find an equation of the tangent line to the graph at the given point. x + y − 1 = ln(x^5 + y^5), (1, 0)

### calculus

Find the dimensions of the rectangular box having the largest volume and surface area 60 square units

### calculus

Use Lagrange multipliers to find the maximum and minimum values of f(x,y)=x^2y+3y^2-y subject to the constraintx^2+y^2less than or equal to 10

### calculus

Use polar coordinates to find the volume of the given solid. Inside the sphere x^2+y^2+z^2=25 and outside the cylinder x^2+y^2=1

### Calculus

Find the equation of the tangent line to f(x)=x sec x at ((pi/4),(pi•sqrt 2)/4). Please check my derivative .. Is it (sin^2(x)+ 1)/cos^3 (x)?

### Calculus

I am trying to solve the following L'hopital's limits question below: lim x -> 0 from the positive direction of ( 5^(sin(x)) - 1 )/ (x)

### Calculus

Find an equation of a line tangent to y = 2sin x whose slope is a maximum value in the interval (0, 2π]

### calculus

find a projectile fired with an initial velocity of 128 feet per second at an angle of 26 degrees

### Calculus

A snowball melts at a rate of 2 cubic inch an hour. When the volume is 36π in^3, how fast is the radius shrinking? V=(4/3)(pi)(r^3)

### Ap Calculus

Find the following volumes formed by rotating the region bounded by: y=x^2, x^2+y^2=-2 (set up using shell method)

### Calculus

find area of the region bounded by the curves y=x^2-1 and y=cos(x). give your answer correct to 2 decimal places.

### Calculus

Can someone show how to solve this problem Find the equation of the tangent line to the curve given by, x=3e^t y=5e^-t at the point where t=0 Thanks!

### Calculus 1

If tanh x=4/5, find the values of the other hyperbolic functions at x. sinh x= cosh x= coth x= sech x= csch x=

### Calculus

How do you integrate 2x^5 • e^x^2 ? I would say that this cannot be evaluated because the answer is more complicated than the original problem. Am I correct? Or is it doable?

### Calculus

find the maximum volume of a cylinder whose height and radius do not exceed a combined total of 12cm

### Calculus III

The surface x^2−y^2=36 can be described using spherical coordinates in the form ρ=g(θ,ϕ)=

### Calculus (Urgent, please)

Find the area of the region enclosed by the intersection of the circle x^2+y^2=4 and the parabola y=x^2. Show work

### Calculus I

Which of the following represents the volume of the solid formed by revolving the region bounded by the graphs of y =x^3, y = 1, and x = 2, about the line x = 2?

### Calculus

Use the trapezoidal rule with n = 5 to approximate. Keep at least 2 decimal places accuracy. Integrate: (cos(x))/(x) from x=1 to 5

### Calculus

Use Simpson's rule with n = 4 to approximate. Keep at least 2 decimal places accuracy. Integrate: (cos(x))/(x) x=1 to 5

### calculus

Find the domain for the particular solution to the differential equation dy dx equals the quotient of 3 times y and x, with initial condition y(1) = 1.

### maths-calculus help me

differentiate Arccosh(x^2+1)*dy/dx if y=arcsinh(coth(x^2) plz showfull work i plead my brain is fried

### Calculus

divide 64 into two parts such that the product of one of them plus the cube of the other is a maximum

### Calculus

Any help will be appreciated! Find the area of the region between x=-3pi/4 and 5pi/4 in the graph enclosed by f(x)=sinx and g(x)=cosx Thank you!

### math/Calculus

If h(x) = csc(x), find the inverse h^(-1)(x). express answer in terms of sin^(-1), cos^(-1) or tan^(-1) Don't know where to start -

### Calculus

Hello, I need help with this limit: Lim ((arctanx-x)/x^3) X->0 I can't use L'Hospital Rule or series. I don't get what to do. Can you give an idea?

### calculus need help

solve d^2y/dx^2+y=tanx plz help me aldo i was given a link to read on but i cant even acess it just help

### Calculus

Sketch a rough graph of the yield of a crop as a function of the amount of fertilizer used. I do not know what to do, can someone guide me?

### Calculus

The function f is given by f(x)=3x^2+1. What is the average value of f over the closed interval [1,3]? The answer I get is 12, but the book says it's 14. I don't understand why.

### Calculus AB

I'm not sure how to go about this problem: Find the equation of the line tangent to the curve x^2 + 2xy + y^3 = 4 at y=1 in the 1st quadrant.

### Calculus

Use the function f and the given real number a to find (f^-1)'(a) f(x)=(x+9)/(x+3), x>-3, a=2 f(^-1)'(a)= ? Can someone please show me how to solve this problem?

### Calculus

The region in the first quadrant bounded by y=6x^2 , 2x+y=8, and the y-axis is rotated about the line x=-1. The volume of the resulting solid is:

### Calculus

if f(x)= |(x^2-9)(x^2+1)| how many numbers in the interval [-1,1] satisfy the mean value theorem? None 1 2 3 Will someone please explain in detail?

### Calculus

Find any critical numbers of the function f(Ø)= 2secØ +tanØ, 10π < Ø < 12π A. 67π/6 B. 71π/6 C. 63π/6 D. A and B

### Calculus

Solve the quadratic equation by factoring. (Enter your answers as a comma-separated list.) 5x2 − 23x = −12

### calculus

Use implicit differentiation to find an equation of the tangent line to the curve 3xy^3+4xy=63 at the point (9,1)(9,1).

### Calculus

Please help me solve these problems. 1.Find the inverse function (f^-1) of √3x-2 2. Integration ∫ the top is x while the bottom is 1. (sin(t))/t dt

### Calculus unit review

I wanted to ask this 1 questions because i didn't even know where to start. For a continuous function f(x), f(1) = 11, and Integral symbol from 1 to 5 f'(x)dx=9. Find f(5).

### calculus

How would you use series to evaluate the lim(x->0) of (x-arctanx)/x^3? I'm getting stuck, and the answer says it's 1/3 but I don't know how they got there.

### calculus

find y' if x^2y^4+3y-4x^3=5cos x-1 (2x*y^4)+dy/dx 4y^3*x^2)+dy/dx3+12x^2=5-sin-0 dy/dx=-5sin (x -12 x^2)/(2x*4y^3)+(12y^2+x^2) this is using implicit differenation is this correct

### Calculus

If ln(x^2-15y)=x-5+5 and y(-4)=1 find Y prime(-4) by implicit differentiation thus the equation of the tangent line to the graph at the point (-4,1) is y=

### Calculus

For a cylinder with a surface area of 20 20, what is the maximum volume that it can have? Round your answer to the nearest 4 decimal places.

### calculus

Make a substitution to express the integrand as a rational function and then evaluate the integral. (Use C for the constant of integration.) 1/x{(x-1)^1/2} dx

### Calculus

The position at time t of an insect crawling along the x-axis is given by x(t) = t^3 - 3t^2 - 9t + 4. What is the maximum velocity on the closed interval 0 <= t <= 2?

### Calculus Help

A solid generated by rotating about the x-axis the region under the curve of f(x) from x=0 to x=b, is b^2 FOR ALL b>0. Find the function f.

### calculus

Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. x=tcos(t), y=tsin(t); t=π