# Pre- Calculus

21,138 results, page 92

### calculus ap

If g is a differentiable function such that g(x) is less than 0 for all real numbers x and if f'(x)=(x2-4)g(x), which of the following is true?

### Calculus

Find the intercept, relative extrema, point of inflection, and asymptotes of the function(if they exist)of: y = (x^2 + 1)/(x^2 - 9)

### Calculus

Find the intercept, relative extrema, point of inflection, and asymptotes of the function(if they exist)of: y = (x^3)/(x^2 - 4)

### Calculus

Find the intercept, relative extrema, point of inflection, and asymptotes of the function(if they exist)of: y= 3[(x-1)^(2/3)] - [(x-1)^2]

### calculus

g(t)=2+cos t; [0,pi] Can you help me find the average rate of change of the function over the given interval?

### Calculus

Find the integral of x/ (x^4+x^2+1) from 2 to 3. I was going to integrate using the method for partial fractions but I can't factor x^4+x^2+1.

### Calculus

Find the volume of the solid formed by rotating the region enclosed by x=0, x=1, y=0, y=5+x^6 about the x-axis.

### Calculus

Consider the function y=7+5cos(8x) What is the amplitude? What is the period? What is the largest value the graph takes?

### Calculus

Ba has a half-life of 283.2 hours. How long would it take for the 50 mg of Ba in a sample to decay to 1.0 mg?

### Calculus

find lim (2x+1+cos2x/22) x->0 Give one sequence starting at x=0.1 to support your claim.

### Calculus

Let f(x) = mx-12 if x is less than -5 = x^2 +5x -7 if x is greater than or equal to -5. If f(x) is a function which is continuous everywhere, then we must have m=_______

### business calculus

For the function f(x) = 1/(x2+14x-42) there are two vertical asymptotes. Determine the x-coordinate of each one

### Calculus

Find the volume of the solid formed by rotating the region enclosed by y=e^(2x)+3 y=0, x=0, x=0.9 about the x-axis.

### Calculus 1

Could you please explain how to find the slope using the definition of derivative of the function y=2*sqrt(x)

### calculus

Find the discontinuities of the given function. Classify them as a point discontinuity or a jump discontunuity. g(x)= x, x<-3 5x/(x^2-4x), x>= -3

### Calculus II

Find the volume of the solid formed by rotating the region enclosed by x=0, x=1, y=0,y= 6 +x^{8} about the y-axis.

### calculus

Find an equation of the tangent line to the curve at the given point. y = 7 sec x P = (π/3, 14)

### calculus

Determine the equations of two lines that pass through the point (1, -5) and are tangent to the graph of y = x^2 - 2.

### calculus

find the volue of the solid that is obtained by revolving the baout the indicated axis or line y=1/2 x^2 +2 y=2 -2<x<2

### Calculus (double check )

Find the centroid of the area bonded by the parabola y =4-x^2 and the x-axis? A.(0,1.6) <<<< correct? B.(0,1.7) C.(0,1.8) D.(0,1.9)

### Further maths

Under differential calculus using the product rule find the derivative of (2x+3)^3(4x^2-1)^2

### Further maths

Differential calculus using product rule pls with detailed explanation (2x+3)^3(4x^2-1)^2

### calculus

is the answer to find an equation of the curve that passes through the point (1,1) and whose slope at (x,y) is y^2/x^3 is y=2x^2-1

### calculus

sketch graph of a function f that is differentiable and that satisfies the following conditions:(1)f'(x)>0, when x<-5 (2)f'(x)<0, when -5<x<1 and when x>1 (3)f'(-5) =0and f'(1)=0 (4)f(-5)=6and f(1)=2.

### Calculus II

Find the area of the region enclosed by the inner loop of the curve. r = 5 + 10sin(θ) Thanks for the help!

### Calculus

Find the area of the region enclosed by one loop of the curve. r = sin(12θ)

### Calculus

Find the global maximum and minimum values of f(t)=4t/(2+t^2) if its domain is all real numbers?

### Calculus I

Using Newton's Method, determine the first approximation to the solution of: e^(4x)= 10-2x starting with x=0 what is x1= ??? P.S. ( the 1 is a subscript )

### calculus

Find the volume of the solid obtained by rotating the region bounded by y= x^2 and x=y^2 about the x-axis.

### calculus

Find the volume of the solid obtained by rotating the region bounded by y= x^3 and x= y^3 about the line x= -1.

### calculus

Use an appropriate local linear approximation to estimate the value of cotangent 44 degrees.

### Brief Calculus

Evaluate the integral. HINT [See Example 2 and 4.] (Remember to use ln |u| where appropriate.) (1/v7 + 5/v) dv

### Calculus

Find the centroid of the region bounded by the curve sin x on the interval (0, pi) and the x-axis. Please help

### calculus

given the functions f(x) = sqrt x+1 and g(x) = 6x+a in the xy coordinate plane, y= f[g(x)] passes through the point (3,5) . what is the value of a ?

### calculus

I need to find the dy/dx of x^2ln(x^2)I tried to do it the way I thought, but it did not come out right.

### Calculus

find the exact value of sin 11pi/12 using the sum or difference formula.

### Calculus

A cost function is given by: A'(x)= 2x^2/x^2-211/x^2. For what values is A(x) increasing and decreasing? Any help would be appreciated

### Calculus

Use the Law of sines to find the remaining sides. 1. a=40 degrees; Beta=87; c=115

### Calculus

Decide whether to integrate with respect to x or y. Find the area of the region. y=e^2x y=e^6x x=1 I have no idea what to do

### Calculus

If $22,550 is invested at 2.95% compounded continuously, how long will it take to reach $50,000 in the account?

### single variable calculus - indefinite integrals

integral of (1-(sinx)^2))/(cosx)dx i don't know what to make my "u" for u-substitution

### calculus

using tangent half substitution show that integral of sec(x)=ln(secx+tanx)

### CALCULUS:)

Find the volume of the solid formed by rotating the region enclosed by x=0, x=1, y=0, y=9+x^4 about the x-axis.

### Calculus :)

Find the volume of the solid formed by rotating the region enclosed by y=e^(3x)+2, y=0, x=0, x=0.4 about the x-axis.

### Calculus :)

Use the substitution x=2tan(theta) to evaluate the indefinite integral 53dx/(x^2sqrt(x2+4))

### Calculus

Let A be the region bounded by the curves y = x^2-6x + 8 and y = 0. Find the volume obtained when A is revolved around the Y-AXIS

### Calculus

Let A be the region bounded by the curves y = x^2-6x + 8 and y = 0. Find the volume obtained when A is revolved around the Y-AXIS

### calculus

the distance between (9,2) and (x,7) is 10 units, I've worked it out till I got to , 10= sqrt of (x-9)^2+36 and I don't know what to do next. help?

### calculus

ind an equation of the tangent line to the curve at the given point. y = sin 6x + sin2 6x, (0, 0)

### Calculus

Solve for x. Don't do the work using algebra and don't use a calculator. The Laws of Logarithms will be helpful. ln(x^2 - 1)= 3

### calculus

y sin 12x = x cos 2y, (pi/2, pi/4) Find the tangent line to the curve at the given point. y=???

### calculus

Find any critical numbers of the function. (Enter your answers as a comma-separated list.) g(t) = 3t ln t

### Calculus

Find the equation of the tangent to the curve x^2+y^2=25 at (-3,4). I'm really confused on how to get the answer, someone please help

### Calculus

Use implicit differentiation to find the slope of the tangent line to the curve 2(x^2) + 2xy + 2(y^3)= -18

### Calculus

(y/(x+9y))= (x^2)-7 at the point (1, -6/55) Use implicit differentiation to find the slope of the tangent line to the curve

### calculus

Find the derivative of the function. HINT [See Quick Examples on page 835.] f(x) = 9x ln x

### Calculus 1

Use Newton's method to approximate the root of the equation x^3+x+2=0 with initial guess x1=-1 gives:

### Math - Calculus III

Find the double integral of f (x, y) = (x^7)y over the region between the curves y = x^2 and y = x(3 - x).

### calculus

Find the volume of the solid generated by revolving about line x = -4 the region bounded by x = y - y^2 and x = y^2 - 3

### calculus

the lemniscate revolves about a tangent at the pole find sufaces of the solid generated?

### Math(module 4 Calculus)

(graphing calclator)give a four decimal approximation for the number 10^4C(25,5)/7!P(30,4)

### Calculus

Revolve the region bounded by y=x and y=x^2 about the y axis. In cubic units, the resulting volume is?

### calculus(differentian)

x=(6-2y²)/(1+y) differentiate with respect to y I saw this in a question here but..I don't get how the person go that answer.

### calculus

The base of a solid V is the region bounded by y=(x^2/64) and y=sq(x/8) Find the volume if V has square cross sections

### Calculus 1

Use definition to find the area of f(x)=5x-2x^3 on interval [6, -6]with four sample right side

### calculus

Find the volume of the solid generated by revolving the region delimited by 5x+5y=40, y=0, and x=0 about the x-axis.

### calculus

Evaluate the following integrals by using appropriate method : ∫cos ^3 ( 2x-5 )dx help

### math-calculus

value of |7|-|-6|+|-cubicroot-64| i got 25 after doing whole thing but real answer be 5, i not get how to get that.

### math-calculus

value of |7|-|-6|+|-cubicroot-64| i got 25 after doing whole thing but real answer be 5, i not get how to get that.

### Calculus

Find the volume of the solid formed when the region bounded by y=3x^2 and y=36-x^2 is revolved about the x-axis.

### Math(calculus)

If f(x)= sqrt(9x^2-12x+4)/(15x^2+2x-8),what is d domain of the function. And what is it in absolute value(abs)

### Math(calculus)

If f(x)= sqrt(9x^2-12x+4)/(15x^2+2x-8),what is d domain of the function. And what is it in absolute value(abs)

### Math(calculus)

If f(x)= sqrt(9x^2-12x+4)/(15x^2+2x-8),what is d domain of the function. And what is it in absolute value(abs)

### Calculus

g(x)={1+cos(pi/2-x/1) 0 for-2 <or= x <or=2 for x<2 or x>2 is g(x) continuous at x=2 is it differentiable at x=2? ex[lain in detail I'm very confused as to how to solve this problem.

### calculus

find the point (or points) where the ellipse 9x^2+4y^2=36 has maximum curvature. don't even know where to start with this one.

### Calculus

How many tangents does the graph of f(x)=(x-1)^2(x-3)^2 have? I found out the derivative of f(x)=(x-1)^2(x-3)^2 f'(x)=4x^3 - 24x^2 + 44x -24 What do I do next?

### Calculus

Find all the points (x,y) on the graph of f(x)=9x^2-36x+35 where the slope of the tangent line is zero.

### Calculus

Find an equation (in terms of x and y) of the tangent line to the curve r=3sin(5theta) at theta=pi/3

### Calculus

I could really use the help on this as soon as possible. what is the slope of the line tangent to the curve (/x)^2 at point (4,16)

### calculus

the area of the first quadrant bounded by the y-axis, the line y=4-x, and the graph of y=x-cosx is approximately

### calculus

the area of the first quadrant bounded by the y-axis, the line y=4-x, and the graph of y=x-cosx is approximately

### Calculus

Use the first principles definition to differentiate y = 5x^2. Please show all your work!

### Calculus AP need help!

its difficulty problem. find dy/dx by implicit differentiation 1.4 cos x sin y = 1 2.tan(x/y)= x+y

### Calculus ap

Use implicit differentiation to find the slope of the tangent line to the curve XY^3 + XY = 5 at the point (3,2) .

### Calculus

Determine the slope of the tangent to the function f(x)=5xe^x at the point with x-coordinate x=2 a) -1/5 b) 10e^2 c) 15e^2 d) -5e^2

### Calculus (Intermediate Value Theorem)

If f(x)= x^3-x+3 and if c is the only real number such that f(c)=0, then c is between ______?

### Calculus

Q. Find the minimum value of Q=x^2y subject to the constraint 2x^2+4xy=294. Its the derivative method.

### calculus

find a vector equation of the line, which passes through the point (1,3,11) and is perpendicular to the yz-plane

### Calculus

Find the volume of the solid formed when the area bounded by x^2-y^2=9, y=x+5, and the x axis is rotated about x=1.

### calculus

find the average value of the function f(x,y)=xe^y over the plane region R is the triangle with vertices (0,0), (1,0) and (1,1)

### calculus

find the average value of the function f(x,y)=xe^y over the plane region R is the triangle with vertices (0,0), (1,0) and (1,1)

### calculus

find the volume of the solid bounded above by the surface z=f(x,y) and below by the plane region R f(x,y)= 4-2x-y; R{(x,y)0<x<1;0<y<2

### Calculus

which pair of lines are perpendicular? a) 2x + 3y - 7=0, -3x - 2y + 2=0 b) 2x - 3y + 2=0, 5x - 7y + 2=0 c) -4x + y - 3=0, x + 4y=0 d) -5x + y + 1=0, 5x + y + 1=0 Please explain. I know we have to use the dot product :3

### calculus test corrections. 1 question

Which is true for the graph of x^2-9/x^2-4 the answer is vertical asymptotes at x = ±2 but i don't understand why.

### Calculus grade 12

Determine the equation of the tangent line to the function (² = square): f(x) = x + cos²x at x = pie/4

### calculus

Find the volume of the solid obtained by rotating the region bounded by y=4x^2,x=1,y=0 about the x-axis.

### calculus

Find the volume of the solid obtained by rotating the region bounded by y=5x+25, y=0 about the y-axis.

### calculus

Find the volume of the solid formed by rotating the region enclosed by y=e^(2x)+1, y=0, x=0,x=0.9 about the y-axis.

### calculus

Find the volume of the solid obtained by rotating the region bounded by y=5x+25 y=0 about the y-axis.