# Pre- Calculus

21,228 results, page 88

### Calculus III

Use the cross product to find the area of the triangle with vertices: P=(1,1,5) Q=(3,4,3) R=(1,5,7)

### calculus

Use the ratio test to determine whether the series is convergent or divergent. 1/2 + 2^2/2^2 + 3^2/2^3 + 4^2/2^4 + ...

### calculus

Can someone please help me find the arc length of this curve? x = 3y^(4/3) - 3/32y^(2/3) y is between -64 and 64

### Calculus

If f is a polynomial function of degree 3 with the numbers 4,5, and -6 as zeros, and if f(1)=-210, determine the formula for f(x).

### calculus

Find the values of a and b that make f continuous everywhere. (Enter your answers as fractions.) x^2-4/x-2 x<2 f(x)= ax^2-bx+5 2¡Üx<3 2x-a+b x¡Ý3 a= b=

### Hard Calculus

f(x)= xsquared - 2x Determine whether y= f(IxI) is continous at x= 0 justify your answer

### calculus

Find the second derivative of the volume of a cube with respect to the length of a side

### Calculus

find the derivative of f(x)=((x^2+3)^5+x)^2 using the chain rule. I know that I would start with f'(x)=2((x^2+3)^5+x) but I don't know how to do the rest

### calculus

If f is continuous on [-1, 1] and f(-1) = 4 and f(1) = 3, then there exists a number r such that |r| < 1 and f(r) = π. Can this be true or false? Please and thank you

### calculus

Find the number c if the line y=x is to be tangent to the graph of f(x)=x^4+c. what are the coordinates of the points of tangency?

### Calculus 1

find the area of the largest posible isosceles triangle with 2 sides equal to 6. thanks

### calculus

write the equation (in slope intercept form) of the line perpendiculaer to y=-X/2+1 and tangent to g(x)=3X^5+2X-1

### Calculus

Find the length of the intercepted arc with radius 2.5 cm and a central angle of 95 degrees

### calculus

where is f(x)=12cos(3x) equal to zero. so far i have pi/2+n2pi.. i am not sure about pi/2

### calculus

Use a linear approximation (or differentials) to estimate the given number (2.001)^5

### calculus

Use a linear approximation (or differentials) to estimate the given number (2.001)^5

### Calculus

Find the x-coordinates of all points on the graph of y=x^3 - 4x^2 + 5x at which the tangent line is horizontal.

### calculus 1

find the total area between the curves ( y= 4-x ^2 ) and the x-axis over the intervals [0,4]

### calculus

find the area the region bounded by the graphs of the given equation y=81x,y=x^5,x=0,x=3

### a.p. calculus

find y' of the functuion in terms of appropriate variable. simplify as far as possible. y= ln(1+e^2x)^3

### calculus

Find all the critical numbers for the function f(x) = cube root of 9-x^2. help please?!

### Math - Calculus

Integration of (sinx + cosx)^2 from 0 to pi/2. I get pi/2 + 1 as my final answer... wondering if that's correct?

### calculus

Consider a car whose position, s, is given by the table t(s) s(ft) 0 0 .2 0.35 .4 1.8 .6 3.8 .8 6.5 1 9.6 Estimate the velocity at t=0.2

### Math (Calculus AB)

An equation to the graph of y=x^3+3x^2+2 at its point of inflection is: a) y=-3x+1 b)y=-3x-7 c)y=x+5 d)y=3x+1 e)y=3x+7 Please help. I am in urgent need.

### 12th grade calculus

How do I find the area bounded by the curver y = x^1/2 + 2, the x-axis, and the lines x = 1 and x = 4

### Calculus

If b is a positive constant, find the average value of the function f defined by f(x) = x2 + bx + 1 on the interval [-1,1]

### Calculus

Multiple Choice: Suppose F(x)=∫ from 0 to x^2 of 1/(2+t^3) dt for all real x, then F'(-1)=? a. 2 b. 1 c. 1/3 d. -2 e. -2/3 Steps please? Thanks(:

### calculus

find the dimensions of the rectangle of maximum area that can be inscribed inside the ellipse (x/4)^2+(y/3)^2 = 1

### Calculus

What is the 4 step process when finding the slope of the tangent line at any given point?

### calculus

f(x)=3-5x , (-1,8) find the slope of the tangent line to the graph of the function at the given point

### Calculus

If a function f(x) is continuous, then what can be said about the value of the following limit lim-->2 [f(x) +4x]

### Calculus

Find the quadratic polynomial g(x)=ax2+bx+c which best fits the function f(x)=7x at x=0, in the sense that g(0)=f(0), and g'(0)=f'(0), and g''(0)=f''(0).

### MATH(CALCULUS)

f(x)=12x/(sinx+cosx) find f'(-pie) need some help!

### Math - Calculus

Show that the equation x^3-15x+c=0 has at most one root in the interval [-2,2].

### Calculus

1. Find the slope m and an equation of the tangent line to the graph of the function f a the point (2, 38) f(x)=9x -2x +6

### Calculus

Find the derivative of f. you may simplify before differentiating f(x)= x2-7x+12/x4-8x3+13x2+30x-72

### Calculus A

1. Find the slope m and an equation of the tangent line to the graph of the function f a the point (2, 38) f(x)=9x -2x +6

### Calculus (double check my anser please)

Evaluate integral e^3x cosh 2x dx. A.1/2 e^5x + 1/2 e^x + C B.1/10 e^5x + 1/2e^x + C<<< my answer C.1/4e^3x + 1/2 x + C D.1/10 e^5x + 1/5 x + C

### calculus

how do you solve the initial value problem by using separation of variables dy/dx=1+x/(sqrt of y), y(2)=9

### calculus

Locate all critical points ( both types ) of f(x)=sqrt(-58-4x^2+32x) Thanks

### calculus

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

### calculus

find the area of one of the regions bounded by the curves y=sin x and y=cos x

### calculus

suppose a price-demand function p(x) is defined implicitly by x= p^3-3p^2+200 find p'.

### calculus

Find the center of mass of the region bounded by the curve y = x3 - 4x2 +3x ; the x-axis ; x = 0 ; x = 1

### Calculus/ trig

Find the area bounded by the curve and the lines y=sinx, y= 1/2, x=5pi/6 and x=pi/6

### calculus

finding limit using epsilon and delta of lim x->2 x^3-3x+7=9..plz anyone solve it for me....

### differential calculus

use the product rule to find the derivatives of the given function y=(3x^2-8)^2

### calculus

use the law of logarithms to expand and simplify. ln(e^x)/(1+e^x) Please help, i have no idea..

### Calculus

Evaluate the integral. HINT [See Example 3.] (Remember to use ln |u| where appropriate.) (4/x - 1/4x^5 + 1/2x^7)dx

### Calculus

Explain how you would use the power integration formula to integrate the function f(x) = (1/x^2)-(1/x)+(1/4).

### calculus

find tangent line equation to the curve at the given point: y= 7e^x cos(x) P=(0,7)

### Calculus

If the price at which x units can be sold is given by the equation p=15-4 ln x, approximate the marginal revenue when x=7.

### U-substitution (calculus)

this is an example from the book. I do not understand where the 1/2 comes from in (1/2u)du. Find indefinite integral. ((.3x-.2)/(.3x^2-.4x+2))dx u=.3x^2-.4x+1 du= 2(.3x+.2)dx 1/2u(du)= 1/2 In u + c 1/2 In(.3x^2-.4x+2) + c

### Calculus

Using logarithmic differentiation find the derivative of f(x)=2x/x. I can't seem to figure this out.

### calculus

Find the instantaneous rate of change of y with respect to x when x = 15 for the function y = 5x2 − 2x

### Calculus

Find all points at which the graph of f (x) = x^3 −3x has horizontal tangent lines.

### Calculus

Can someone please tell me how to find the following integral? cos^4(2q)*sin(2q) dq

### calculus

sketch the graph of the line defined by y 2 +4 using the dual-intercept method.

### calculus

For the given equation, find the slope of the tangent to the curve at the point (-4,2). y^2+8y+x^2+8x-4=0 A. -1.50 B. -0.50 C. -2.00 D. 0.00 E. UNDEFINED

### calculus

Let A be the region bounded by the curves y=x^2-6x+8 and y=0, find the volume when A is revolved around the x-axis

### Calculus

use the intermediate value theorem to determine whether there is a zero f(x) = -3^3 - 6x^2 + 10x + 9 ; [-1,0]

### calculus

Evaluate: (without using Hopital's rule) d) lim (6-3x)/(((5x+6)^1/2)-4) x->2 ^ | square root

### calculus-derivatives

y=cos^3(12theta) find derivative using chain rule

### Calculus

Determine the point(s) (if any) at which the graph of the function has a horizontal tangent line for y=(3^1/2)x+2cos(x), 0¡Üx<2¦Ð

### calculus

f(x)=8/(x^2+x+2) Set up an equation, which when solved will give the points where the tangent line has y-intercept 5.

### Calculus

find an equation for the line tangent to the curve at the given point and show how y=(x^4+2)/x^2, x=-1

### Calculus (derivatives)

find an equation of the tangent line to the curve at the indicated point. y = -(x^1/3); (8, -2)

### Calculus

Show that of all rectangles with diagonal length c, the square has the largest area.

### Calculus

find the limit as x approaches zero of (3sin2x)/sin7x and show work

### Calculus

find the limit as x approaches zero of (3sin2x)/sin7x and show work

### Calculus

Use either substitution or integration by parts to evaluate the integral: ∫(x+2)/(x²+2) dx Thank you!!

### Calculus

find the limit as x approaches zero of (3sin2x)/sin7x and show work is it 6/7?

### calculus

What angle does the tangent to the curve y(x)=sin^2(x/3)+15sin(x/3) at x=3pi make with the x-axis?

### Maths Calculus

Find the first derivative for the following functions 1) x^3 . sqrt( 3x^5 + 1 ) . sin (7x)

### calculus

find equations of the tangent lines to the curve y=x/(x+5) that pass through the point (2,7).

### calculus

find the centroid of the plane region bounded by the curves y = cos x, y=sinx, x=0,

### calculus

How long will it take an investment that pays 5% compunded annually to double in value?

### Calculus

Find the slope of the tangent line to the curve 2(x^2 + y^2)^2 = 25(x^2 - y^2) at the point (3,1). Thank you very much for your help.

### calculus

select the equations of all lines through the orgin that are tangent to the curve y=x^3-8x^2-7x

### Calculus

Find an equation of the tangent line to the curve at the given point. y = 6e^x cos x, (0, 6)

### calculus

the tangent to the curve y=a/x +bx at (1,3) is parallel to the line whose equation is y=2x+1. find the values of a and b.

### Calculus

Let f(x)=3x^5+5x^3+15x+15. Use Rolle's Theorem to show that f(x) has exactly one root.

### Calculus

I need help finding the derivative of this function: f(x)=(X^2+2)^4/5 Thanks in advance! Any help would be greatly appreciated!

### Math(module 4 Calculus)

(Graphing Calculator)Sketch the graph of the function f(x)= 2x^3-7x^2-27x-18/x^2+5

### calculus

Evaluate the integral. Express your answer using words or symbols. ç(-2sin x) dx

### calculus

Find the center of mass of the region bounded by the curve y = x3 - 4x2 +3x ; the x-axis ; x = 0 ; x = 1

### Calculus

If f(x) = (cos x)(esin x ), then, correct to the nearest hundredth, f '(2.0) = The answers suppose to be 0.86 but i always get -1.83

### calculus

Find the volume of the solid formed by revolving the region bounded by y=1-x, y=x-4, x=0 about x=7

### calculus

given the function f(x)=x^3 defined for 0<x<1 evaluate the lower & upper Riemann sums.

### calculus

Find dy, dx i) x2y – y2x = e2x – 3 ii) y = tan x x iii) y = - k cos (x + h)2 x iv) y2 = x2 + sin xy

### calculus

given f(x)=sqrt(x). find the distance of the point P(2,5) from the line tangent to the functions at x=4.

### Calculus

How do I integrate (x^2)(e^(x^3)) dx? I think it is integration by parts but after trying that, I got confused?

### Calculus

Find the particular solution that satisfies the intial condition: xdy - (2xe^(-y/x)+y)dx = 0

### math-calculus

two numbers differ by three and their quotient is 3/4. the larger number is? i not get how to do this.

### Calculus (Math 2A)

Solve the difference quotient for the given function f(x) = x^3, (f(a+h)-f(a))/h i forgot how to do this problem

### math-calculus

|2x+1|-|x-2| = 2 i not get how to do this cause everything on one side i never did these question like this before.

### calculus

Find the volume of the solid bounded by the curves y = 4 - x^2 and y = x revolved about the x axis.

### calculus

If the tangent line to the function f(x)=x+a at x=16 has equation y=mx+2, find a and m . You may use the fact that f'(x)=12x . a= , m=

### calculus

x only exsists from [0,3.14] therefore what is the parallel tangent lines between f(x)=tanx and g(x)=x^2