# Pre- Calculus

21,321 results, page 94

### Calculus

Use n = 6 subdivisions and left endpoints to estimate the area under the graph of f(x) = 2x + 1 between x = 0 and x = 3.

### calculus

Plot the points and determine the slope of the line containing them (-7,-4);(8,-4) please show work

### calculus

it says lim as x>-3 x+3/ x^2+7x+12 I need to find the limity using subsitution, a table, or by graphing...

### Calculus

Use the graph of f(x)=x^2/(x^2-4) to determine on which of the following intervals Rolle's Theorem applies. A) [0, 3] B) [-3, 3] C) [-3/2, 3/2] D) [-2, 2] E) None of these

### Calculus

Which of the following is the Taylor series of ln(1−2x) about x=0 up to and including the terms of order three?

### calculus

integrate (1)/(-4ln)3x)^3 -27x^2 cuberoot-3x^3-5 and using the graph y=squareroot of x which points are closest to (6,0). thank you!

### calculus 2

The curve y=sinh(x),0<=x<=1, is revolved about the x-axis. Find the area of the resulting surface.

### Survey of Calculus

For the function below, find the slope of the tangent line at x=2 (5x^(4)+4)/(-2x^(3)+7) Can someone explain how to do this?

### Applied Calculus

Let f(x) = x3 − 4x2. Find the point(s) on the graph of f where the tangent line is horizontal.

### calculus

Evaluate the following line integral: ∮C[(4x^2+3x+5y)dx+(6x^2+5x+3y)dy] where C is the path around the square with vertices (0,0),(2,0),(2,2) and (0,2).

### calculus

Evaluate the following line integral: ∮C[(4x^2+3x+5y)dx+(6x^2+5x+3y)dy] where C is the path around the square with vertices (0,0),(2,0),(2,2) and (0,2).

### Calculus

Find an equation of the tangent line to the given curve at the specified point: y=sqrt(x)/x+1, (4,2/5)

### calculus

write a simplified algebraic expression in terms of a and h to estimate the instantaneous rate of change of 8t(t+2)

### Calculus

given that f, g, and h are differentiable functions and f(g(h(x))) = x, what is h'(x) in terms of f, f', g, g', and h? I have on clue on how to even start it. please help . thank you.

### Calculus

Find the equation of the line tangent to f(x) = xe^-x at the point where x = 0. What does this tell you about the behavior of the graph when x = 0?

### Calculus

Find the equation of the line tangent to F(x) = xe^-x at the point where x = 0. What does this tell you about the behavior of the graph when x = 0?

### Calculus

Use logarithmic differentiation to find the derivative of f(x) = x^x+2 and simplify. Please show steps. Thanks.

### CALCULUS-plz help!

For the curve r = 2 sin 3(theta): Find the arc length of one petal

### CALCULUS-plz help!

For the curve r = 2 sin 3(theta): Find the arc length of one petal

### Calculus

Find the equation of the tangent line to the curve at the given value of t: x=sin(t); y=(cos(t))^2; t=(pi/3)

### Calculus

Find the first and second derivative for f(x) = x^2 - 9 / X^2 -4 please show me how you got the answer for both

### Calculus

Using 4x^2 - 9y^2 = 36 Find y by implicit differentiation and then solve the equation explicitly for y and differentiate to get y' in terms of x.

### calculus

Using 4x^2 - 9y^2 = 36 Find y by implicit differentiation and then solve the equation explicitly for y and differentiate to get y' in terms of x.

### Calculus

Find the dimension of a rectangle with perimeter 295 whose area is as large as possible

### Calculus

Find the area between the two curves y1= x^2 - 4x + 5 and y2 = 2x - 3, finding the points of intersection algebraically.

### Calculus Grade 12

Without solving , determine the points of intersection of the line r= (5,-9,3) +k (1,-12,2] and the plane [x,y,z]= (4,-15,-8) + s[1,-3,1] + t[2,3,1], if any exist.

### Calculus

Consider the vector field: F(x,y)=2xyi+x^(2)j Integrate F over a path starting at (0,0) and ending at (2,2).

### calculus

find a point on the curve x^3 + y^3 =2xy other than the origin at which tangent line is horizontal

### calculus

How many positive integers a (<1000) are there such that the function f(x)=x^4−76/3x^3+2ax^2 has no local maxima?

### calculus (please help steve)

Evaluate ∬(x^2+y^2)^2/(x^2y^2) dx dy over the region common to the circles x^2+y^2=7x and x^2+y^2=11y.

### calculus (please help steve)

Evaluate ∬(x^2+y^2)^2/(x^2y^2) dx dy over the region common to the circles x^2+y^2=7x and x^2+y^2=11y.

### Calculus

Let f(x)=|x+1|/(x^(2)-1). Is f continuous? If not,classify any points of discontinuity as infinite, jump, or removable. Sketch the graph of y=f(x) for -4<=x<=4

### Calculus

Can some one please explain this problem to me? Find lim x->0 (sin5x/sin7x)

### Calculus

Solve the separable differential equation 10x−6ysqrt(x^2+1)dy/dx=0. with the initial condition y(0)=4.

### calculus

find the area of y=x sqrt(x^2+16), bound by the x-axis and the vertical line x=3 I got 22.5 is that correct?

### Calculus (check my work)

Find the marginal revenue at x=10 using the equation R(x)=-x^2+80x Is the answer 60?

### calculus

use a sign chart to solve inequality. Express answers in interval notation. x^2+6<2x

### Calculus

write and row reduce the augmented matrix to find the general solution. x + y - z = 7 2x - y - 5z = 2 -5x + 4y + 14z = 1 3x - y - 7z = 5

### Calculus II

Solve the initial value problem using Taylor Series and the following conditions: y'(t) = y(t) + 2t y(0) = A

### Calculus

Use Simpson's Rule with n = 10 to estimate the arc length of the curve. y = tan x, 0 < x < π/9

### Calculus Help

Find the derivative of the following function showing your work and fully simplifying your answer. f(x)=(8x-3)^5/(6x+7)^12 Thank you!!!

### AP Calculus

Approximating the integral from 0 to 6 of (e^x dx) by 3 circumscribed rectangles of equal width on the x-axis yields ____. a) 2e^2 + 4e^4 + 6e^6 b) 2(e^2 + e^4 + e^6) c) 2(e + e^3 + e^5) d) e + 3e^3 + 5e^5 e) e^2 + 3e^4 + 5e^6

### Calculus

If position is given by p(t)=t^2 +1, find the velocity v(t) at t = 2. I'm completely lost as to where to even start with this problem.

### Calculus

At what interval is e^(-5x^2) concave up? I know the second derivative is 100x^2*e^-5x^2-10*e^-5x^2 but I just can not figure this one out. Thank you for your help!

### Calculus Help Please

Use a linear approximation (or differentials) to estimate the given number. (1.999)^4

### Calculus II

the gamma function r(x) is defined by r(x)= integral from 0 to infinity of x^n-1(e^-1)dx where n>0. Use integration by parts to show that r(n+1)=nr(n).

### Calculus

What are two conditions that must be met before the Extreme Value Theorem may be applied?

### Calculus

Use the alternate definition, lim x->a f(x)-f(a)/x-a, to determine the instantaneous rate of change of f(x)= 1/x at the point (1,1/5) a)1/5 b)-1/5 c)1/25 d)-1/25

### Calculus Please Need Urgent2 :/

Consider the function f(x) whose second derivative is f''(x)=8x+4sin(x). If f(0)=3 and f'(0)=2, what is f(x)? f(x)=??

### calculus

Compute the limit of the partial sums to determine whether the series converges or diverges. 1)6 + 4 - 4 + 4 - 4 + 4 - 4 +...

### Calculus

1.a)Determine dy/dx if y= sqrt[(3x^2+2)^3] For this question, I got 9/2x(3x^2+2)^1/2 as my answer. b)State any values of x for which the function is not differentiable

### calculus

find the volume of solid inside the paraboloid z=9-x^2-y^2, outside the cylinder x^2+y^2=4 and above the xy-plane

### calculus please help!

Find maxima and minima and points of inflection. f(x) = 2x^3 - 3x^2 -36x +100 on the interval [-6,4]

### Calculus

Given f(x) = cubed root of x^2 (2x+5)^3, find the critical numbers after you identify the domain.

### Calculus

find the extreme values of the function and where they occur y=1/(sqrt 1-x^2). So far I have y'=x/((1-x^2)(1-x^2)^(1/2)) but I am stuck.

### Calculus

State the cartesian equations of two lines that make angle of 60 degrees with the line r=(1,3)+s(1,1)

### Calculus-Math

Complete the table. y = f(g(x)) u = g(x) y = f(u) y = (2x − 4)^7 u = y= This problem involves the chain rule of derivatives.

### Calculus-Math

f(x) = (1/2)x ln(x^6) (−1, 0) (a) Find an equation of the tangent line to the graph of f at the given point. y=

### math calculus 3

find a formula for a function g( x,y,z) whose level surfaces are planes parallel to z=3x-2y+7

### calculus

Find the interval [a, b] on which the function f(x) = 2 x3+3 x2−12 x+3 is decreasing. Enter your answer as: [a, b] for some constants a, b.

### Calculus

Find the equation of the tangent to the curve y=3x^2+4x which makes a 45 degree angle with the negative x-axis

### Calculus

Integrate sqrt(x^2 + x) dx I have completed the squares and got x^2-x = (x+1/2)^2 -1/4 Now i don't know how to proceed, plz help me!

### calculus

Use iterated integral to find the area enclosed by r=2sin2(theta). How do i graph this?

### calculus

How do I use the product rule to find the derivative of the following. y=(x+1)(3square root x+7) y'= Please help

### Calculus

Find the equation of the line tangent to the function f(x)= square root of (x^3 + 4x) through the point (2,4)

### Calculus

Find the derivative of y=xe^-x^2. Is the x being multiplied by (e^-x^2)? Product rule? I don't understand how to approach this problem.

### Calculus

Find an equation of the tangent line to the graph of f(x)=xsinx when x=0. A. y=0 B. f'(x)=0 C. y=xcosx+sinx D. y=x E. None of these

### Calculus

Estimate the area under the graph of f(x)= x^2 + 2 x from x=1 to x=5 using 4 approximating rectangles and left endpoints.

### calculus, help!

Evaluate the definite integral: int_{1}^{e^9} \frac{dx}{x \sqrt{\ln x}} = i gt my answer as 1^(e^9) but it's saying it's wrong

### Calculus

The function h(x) = x^3+bx+d has a critical point at (2,-4). Determine the constants b and d and find the equation of h(x). Show your work.

### Calculus

Find the volume of the solid obtained by rotating the region bounded by y=8x+24, y=0 about the y-axis.

### Calculus Chain rule

y = (6x^2-6)^4/x I would appreciate it more if work was shown. Thank you (I have the answer but want to know how to do it)

### Calculus

Solve without a calculator. cos(arcsin (3x/2)) I made a triangle but im stuck after that..

### Calculus

Use implicit differentiation to differentiate y=x^(8/37), by writing it as y^37=x^8. Express your answer only in terms of x.

### Calculus

How can I solve this using Log differentiation? I'm not sure how to even start it. y=(cos(x)(x^2+9)^(2/3)/(sqr(x^3+2))

### math

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(x) = e^(3t^2) − 3t dt from 4 to x

### Calculus

Find the volume of the solid obtained by rotating the region bounded by y= x^2, y=0, and x=3 about the x-axis.

### Calculus

Find the volume of the solid obtained by rotating the region bounded by y= x^(1/3), and y= x about the line y=1

### Calculus

Find the volume of the solid obtained by rotating the region bounded by y= x^2, y=0, and x=3 about the x-axis.

### Calculus

Find the volume of the solid obtained by rotating the region bounded by y= x^(1/3), and y= x about the line y=1

### Calculus

Let f for all Real numbers, be an odd function. Explain why, for any positive number a, the integral from -a to a of f(x) = 0.

### Calculus 1

Find the exact value of each expression. (a) tan(sec^−1 5) (b) sin(2sin^-1(5/13))

### Calculus

Let R be the interior of the circle 4x2 + 4y2 −4x = 0. Evaluate double integral sqrt(x^2+y^2)

### calculus

The position of a particle is given by the equation of motion s(t)= 1/(1+t)where t is in sec and s in meters find the velocity.

### Calculus

Find the surface area of the part of the sphere x2+y2+z2=81 that lies above the cone z=√(x2+y2)

### calculus

Use implicit differentiation to find the slope of the tangent line to the graph of 18*x^(1/2)+5y^(1/2)+14 at(81/324,1)

### Calculus

(3) Suppose that f : R2 → R is a continuous function at x0 ∈ R2 and that |f(x0)| > 2. Show that there is a $ > 0 such that |f(x)| > 2 whenever ||x − x0|| < $.

### calculus 2

Sketch the region enclosed by the given curves. Find its area. y=7cos pi x, y=12x^2-3

### Calculus

What is the derivative of f^3(g(x)) where both are continuous functions? I used chain rule and got 3f^2(g(x))f'(g(x))g'(x) but it is not right.

### Calculus

Given the table below for selected values of f(x), use 6 trapezoids to estimate the value of x 1 3 4 6 7 9 10 f(x) 4 8 6 10 10 12 16

### Calculus

Which of the following is the general solution of the differential equation dy/dx = 2x/y? y2 = x2 + C y2 = 2x2 + C <- my answer y2 = 4x2 + C x2 − y2 = C

### Calculus

Find the specific solution of the differential equation dy/dx = 4y/x^2 with condition y(−4) = e. y= -1 - 4/x <- my answer y=-1*e^(1/x) y=e^(-4/x) None of these

### Integral calculus

find the work required to pull up the anchor if the cable weighs 20 lb/ft in water

### Integral calculus

find the work required to pull up the anchor if the cable weighs 20 lb/ft in water

### Calculus

Determine whether the hypotheses of the Intermediate-Value Theorem are satisfied. f(x)=x^1/3 , [a,b]=[-1,1] Please, explain. Thank you.

### mathematics-calculus-derivatives

. Try this. If y=cosx find dy/d5x please show workings #thanks

### Calculus

Evaluate as limit approaches 0. (Without using l'hopital's rule. ( Sqrt(4+sin(x))-2 ) / (3x)

### calculus sir damon help me or steve

integrate dx/root(coshx-1) plz show step

### Calculus

Find the absolute maximum and minimum values of the function f(x)=3(x-2)^(2/3)+5 on the interval [1,10]? I'm not sure how to do this. Please help.