# Pre- Calculus

21,352 results, page 100

### 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.

### Integral calculus

Yesterday I posted this number that I don't understand. There was a mistake in the question,this is the right one: ∫ (5^(3/x) - (x^8 + 9)^1/3 ) / 3x^2 will u, for sub. be = x^8 + 9? Then du is = 8x^7 dx x^7 dx = 1/8 du Thank you!

### Calculus

Find the total work done by a 15 N force in the direction of the vector [1,2,2], when it moves a particle from O[0,0,0] to P[1,-3,4] and then from P to A[7,2,5]. Distance is measured in metres.

### Calculus

Find the total work done by a 15 N force in the direction of the vector [1,2,2], when it moves a particle from O[0,0,0] to P[1,-3,4] and then from P to A[7,2,5]. Distance is measured in metres.

### Calculus

three forces each of magnitude 50 N, act in eastward, westward, and northwest directions, Find the resultant force.

### Calculus

[((cotx)^(1/3))((csc^4(x))] i don't understand how to integrate the first part because it should be either even or odd, but this is neither.. help!

### Calculus Review for exam grade 12, please help.

use the derivatives of y=sinx and y=cosx to develop the derivative of y=tanx

### calculus

the area under the curve y= square root of 9-x^2 with coordinates x=-3 and 3 , find the volume rotated aroudn the x-axis

### Calculus AB/AP

Use the rectangles with the given dimensions to approximate the area of the region in the first quadrant bounded by the graphs of y = 4 – x2 , y = 0, and x = 0. 4 _ 3|_|-. 2|_|-|-. 1|_|-|_|_ |_|_|_|_| 1 2

### Calculus

Prove via Mathematical Induction that (7*n) - 1 is divisible by 6. I have that it is divisble when n=1, but not n=2 and so on. How should I write the inductive proofs?

### calculus

Find all relative extrema of the function. (Enter NONE in any unused answer blanks.) f(x) = x4 – 8x3

### 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)