# Pre- Calculus

21,352 results, page 88

### repost Calculus

the length of the curve of intersection of the cylinder (4x^2) + y^2 = 4 and the plane x + y + z = 2 I'm so lost. Any help is appreciated!

### Calculus

Let f be the function defined by f(x)=2x+11-3e^x If the equation of the tangent line to the graph of f at the point (0,8) is given by y=mx+b then: m=? and b=?

### Calculus

Evaluate the definite integral The S thingy has 1 at the bottom and 9 at the top. 4x^2+5 divided by the sqrt of x.

### calculus

find the lim x->0 (e^(-x) -1) / (1-e^x) i did this using a table and the found the limit but is there a way to do this algebraically

### Calculus

limit as x approaches infinity. (sin2x)/(x) answer is 0. show me how please. thanks in advance =)

### Calculus

limit of ((1/x) - (1/|x|) as x approaches x from the left side. i have no idea how to approach this problem.

### Calculus

[Implicit Differentiation] (6+y)^3 + 4y = x + 55 with y' at (1, -2) y' at (1,-2) =? I got this far but I'm not sure if I'm doing it right: 3(6+y)^2(1dy/dx)+4dy/dx=1

### AP Calculus

find f'(2) given g(2)=3, h(2)=-1, h'(2)=4, and g'(2)=-2 f(x)=g(x)h(x) I'm just not understanding how to start this at all and what it wants me to derive when I don't know the function

### calculus

f(x)= -7(cos(s^3))(tan(s^2)), find f'(x). I got 21s^2cos(s^3) x 2s(sec^2(s^2)) but it is wrong...

### Calculus

can someone break down how to take the integral of this problem? 20te^-10t dt

### Calculus (trig stuff)

given a angle how do I find it's point P on the unit circle?

### calculus

If f(x)=x^3. Yhe equation of the tangent line to f(x) at x=4 is y=? Using this, we find our approximation for 3.8^3 is ?

### Calculus

The velocity v(t)= -t^2 + 6t - 8, find the displacement and distance traveled during the time interval [-1,5]?

### calculus

Use the Intermediate Value Theorem to show that there is a root in the equation x^(1/3)=1-x in the interval (0,1).

### calculus

Find the indefinite integral and check the result by differentiation. ∫u²√(u^3+2) du

### calculus

Find the indefinite integral and check the result by differentiation. ∫((t^3/3)+(1/4t²)dt

### calculus

Concept of FUNCTION (with atleast two examples) in every day life

### Calculus

Could you please help me with this question. Determine an expression, in simplified form, for the slope of the secant PQ. a.) P(1,3), Q(1+h,f(1+h)), where f(x)=3x^2

### calculus

find the derevative (hint try to use limits) (x^2010 - 1 )\(x -1 )as x approaches1

### Calculus

Represent the function f(x)= 10ln(8-x) as a Maclaurin series and Find the radius of convergence

### calculus

Find the slope of the tangent line to the graph of the function at the given point. g(x) = 3 x + 4, (-4, 1)

### Calculus

Find an equation of the tangent plane (in the variables x, y and z) to the parametric surface r(u,v) =(2u, 3u^2+5v, -4v^2) at the point (0,-10,-16)

### Calculus

Find an equation of the tangent plane (in the variables x, y and z) to the parametric surface r(u,v) =(2u, 3u^2+5v, -4v^2) at the point (0,-10,-16)

### Calculus

Find the value of tan2x, (pi/2)<x<pi, given secx=-5/4. So cosx=-4/5? I've no clue what to do next.

### Calculus

What's the integral of e^(1+i)x dx? Please provide the full solution because I don't understand how to do this question at all.

### MATH!! Calculus inverses

if g(x) is the inverse of f(X), g(x)=f^-1(x) such that g(3)=5 and f'(5)=4 what is the value of g'(3)??? HELP i just need this one.

### Calculus

Find the scalar and vector projections of b onto a. a = <3, −4> b = < 6, 0> compab projab

### calculus

Find an equation of a line that is tangent to y=2sinx and whose slope is a maximum

### calculus

I am stump on how to break this down for I can use the chain rule to get the integral of this equation. (-30/(2x+1)^2)=30

### calculus

What is the definite integral from 0 to x of 1/(4 + t + 3t^2) dt? For starters, what is the anti-derivative and how did you find it? I think I could take it from there.

### calculus

If contains the points (4, 19) and (-3, 5), what is the slope of a line perpendicular to ? Enter your answer as a decimal.

### Calculus

If f(x) = (e^(x))sin(x) what is the 1000th derivative? Step are needed and the general rule/pattern

### Calculus

Find the equation of the tangent line to the curve y=1+ xe^(2x) y'=(e^(2x))(2x+1) = slope What's the next step?

### calculus

Find the value of x where Y= 5^2x * e^(3x^2) has a horizontal tangent. Is this point a Max, Min or plateau?

### calculus

Given: theta is in standard position in quadrant 1 with p(x,y)=(5,12) find sin 2 and cos 2

### calculus

Find the value of the limit.( use L'hospital rule) lim (tanx/x)^(1/x^2) x>0

### Calculus

A pyramid with height 2h and rectangular base with dimensions 3b and 6b. Find the volume V of this solid.

### Calculus

Differentiate: F(x)=e^(xsin2x) This isn't homework, it's review for our exam. Couldn't remember how to work it :( Thanks!

### calculus

The area of the parallelogram formed by the vectors p = (a, 1, -1) and q = (1, 1, 2) is root 35. Determine the values of 'a' for which this is true.

### calculus

Find the equation of the tangent line to the graph of f(x)=4ln(9x+2)at the point of x-coordinate x=2.

### calculus-limits

For f(x) = e^x sinx , what can be said about lim x -> negative infinty? Explain.

### Calculus

What is the largest rectangle that can be inscribed in the first quadrant of the ellipse 9x^2+16y^2=144?

### calculus

"use the intermediate value theorem to prove that the curves y=x^2 and y=cosx intersect"

### calculus

find the equation of the tangent line at the given value of x on the curve 2xy-2x+y=-14, x=2

### 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