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 8yyŒ =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

Calculus

Set up, but do not evaluate, the integral which gives the volume when the region bounded by the curves y = Ln(x), y = 2, and x = 1 is revolved around the line y = −2.

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