# Pre- Calculus

21,152 results, page 79

### calculus

Integrate using the simplest method possible: ∫(t – 1)5(2t – 7)dt

### Calculus

Given f(x) = x^4 + 6x^3 - 15x + 7, evaluate \displaystyle \lim_{h \to 0} \frac{f(1+h) - f(1-h)}{h}.

### math - calculus BC

find a power series representation of: f(x)=((x^2)-1)*sin(x)

### multivariable calculus

Find the equation of the plane containing the points (1; 0; 0), (0; 2; 0) and (2; 1; 3).

### Simple Calculus

Let y = x^3 + ax^2 + bx. If (x,y) = (2,64) is a point on the curve and the slope of the tangent at x=-1 is 3, what is the value of a+b?

### Simple Calculus

If f(x)=(x+1)^3(x^2-1)^2, what is the value of f'(2)? Details and assumptions f'(x) denotes the derivative of f(x).

### calculus

find the interval(s) where the following functions are increasing and decreasing. f(x)= x/4 + 4/x

### calculus

Find the centroid of 4 particles of equal mass located at (0,0), (4,2), (3,-5), and (-2,-3)

### Calculus

Convert the curve to an equation in rectangular coordinates: x=(t+2); y=-2sqrt(t)

### Calculus

Find the antiderivative of (sqrt(x)+3/x-2e^(x))dx. Need steps so I can follow. Thanks

### calculus (gr 12)

Evaluate each of the following. Show all your calculations. f'(3) if f(x) = x^4 − 3x

### calculus

Evaluate each of the following. Show all your calculations. f'(3) if f(x) = x^4 − 3x

### calculus

find the absolute minimum and maximum valies of f(x)=-x^4+2x^3+5 on the interval [-2,2]

### calculus

find the absolute minimum and maximum values of f(x)=x^(1/3) (3+x) on the interval [-2,1]

### Calculus

find the equation of the tangent line to the graph of y= f(x) = ln (x)/x at the point (1,0)

### English

what is the noun fuction of He must like studying calculus.

### Calculus 1

Find the antiderivative of f(x)=5e^x-2secxtanx showing steps please

### Calculus

Use Newton’s method to approximate the root of x^2 + 4x + 2 = 0 between x = -4 and x = -3 .

### Calculus Homework!

Find the area bounded by the curve y=x(2-x) and the line x=2y.

### Calculus

Describe the following surface and give traces if available. x^(2)-4z^(2)=4

### Calculus

Estimate ç4 1 ln(x)−3dx using 6 midpoint rectangles

### calculus

Find the area of the region between the parabola 4y = x^2 and the line 3x + 4 y = 4

### Calculus

Evaluate the following limit, if it exists: lim h-->0 ((sqrt9+h)-3/(h)

### Calculus

Find all first partial derivatives: f(x,y)=e^(xy)cosx

### Calculus

Find the values of a , b , and c in the quadratic function p(x)=ax2+bx+c such that p(2)=6, p'(2)=2, p"(2)=3

### Calculus

For what values of x with 0¡Üx¡Ü2¦Ð does the graph of f(x)=x+4sin(x) have a horizontal tangent?

### Calculus

Show that both functions y1=e^(-2x) and y2=xe^(-2x) are solutions to the differential equation y^''+4y^'+4y=0

### Calculus

Find the area of the shaded region bounded by y=7x and y=x(sqrt(22^2-x^2))

### Calculus

Find an equation of the tangent line to the graph of y = e-x2 at the point (2, 1/e4).

### calculus

How many integer values of a are there such that f(x)=x^+ax^2+8ax+25 has no local extrema?

### Calculus

Find the complete solution to the 2nd ODE: 2y''+3y'+y=t^(2)+3sin(t)

### Calculus

Find f (x) by solving the initial value problem. f '(x) = 6x^2 - 10x; f(2) = 5 f(x) =

### Calculus

Find f(x) by solving the initial value problem. f '(x) = 3ex - 4x; f(0) = 10 f(x) =

### Calculus (Limits)

f(x) is a function differentiable at x=1 and f′(1)=1/13. What is the limit of (x^3 - 1)/f(x) - f(1) as x approaches 1?

### calculus (hint?)

f(x) is a twice differentiable function such that f(2x)=f(x+5)+(x−5)^2 What is f''(x)?

### Calculus

Let f(x) = x ^3. The equation of the tangent line to f(x) at x = 5 is y=75x - 250 What is the approximation for 4.6 ^3?

### Calculus

Given that f(x)= x^3 i f x≥0 x i f x<0 which of the following functions is even? I. f(x) II. f(|x|) III. |f(x)|

### calculus

integrating e^1/3dx i got 3e1/3 +c pls am i right

### calculus

to find value of x and discontinous 9x²-3x-2/3x²+13x-4

### Calculus

6/ln[x] find the derivative... im coming up with -6/x*(ln(x))^2 but it isn't accepting the answer what am i doing wrong?

### Calculus

Use integration by parts to evaluate the integral xsqrt(2x+6)dx.

### Calculus

Evaluate the limit. as x approaches infinity, lim sqrt(x^2+6x+3)-x

### Calculus

Use continuity to evaluate. as x approaches 2, lim arctan((2x^2-8)/(3x^2-6x))

### Calculus (integrals)

Find the integral:8x^7+6/(x^8+6x)^2 I got ln(x^8+6x)^2 but apparently that is wrong.

### calculus

i need help with proving five steps of l hospitals rule for (ex^2-1)/x

### Calculus

Consider the function f(x) whose second derivative is f''(x)=5x+2sin(x). If f(0)=3 and f'(0)=3, what is f(3)?

### Fundamental Theorm of Calculus

Find the average value of f(x)=3x^2-2 x on the interval [3,6]

### Fundamental Theorm of Calculus

Find the average value of f(x)=7x^{-2} on the interval [1,5]

### Calculus Help!!!

Find c > 0 such that the area of the region enclosed by the parabolas y=x^2-c^2 and y=c^2-x^2 is 13.

### calculus

Evaluate to four significant digits log x = 5.3027

### calculus

at what point do the graph of the function f(x)=(x^2)+4x-1 have a horizontal tangent?

### Calculus 1

Find all the points on the ellipse 3x^2-xy+y^2=64 that lie on the line y=3x

### Calculus HELP!!

6 2 6 Let u = 4 , v = 2 , w = 2 5 3 1 Show that 2u - 3v - w = 0. Use that fact to find x1 and x2 that satisfy the equation 6 2 6 4 2 {x1} = 2 5 3 {x2} 1

### Calculus

Find the critical numbers of the function. h(t) = t3/4 − 5t1/4

### Calculus

write in parametric form the equation of the line that joins (1,-2) and (3,0)

### Calculus

Where does the line through (1,0,1) and (3,−2,5)intersect the plane x+y+z=10? (x, y, z) =________?

### Calculus

Find the distance from the point to the given plane. (1,−5,9), 3x+2y+6z=5

### calculus

Use the principles of translating and reflecting to graph the function f(x)=(x-5)^3 +2

### calculus

Find the equation of the tangent line to the ellipse x 2 + 4y 2 = 25 when x = 3 and y < 0. Answer 3x - 8y = 7 3x - 8y = 25 3x + 8y = 7 3x + 8y = 25

### calculus

Find the area of the region under the curve y = 16 e ^{4 x} between x = -1.4 to x =1.4 .

### Calculus

Can someone help me with finding the derivative of this function? y = -( csc x)2 (cos-1(1-x2))

### Calculus Help

In the following x,y and (a) are all variables. Show steps please! Thank you! 1) y^2 = x^2+a^2 2) y^2+ay = x^2+ax+a^2

### Calculus

Find the slope of the tangent line to the ellipse x^2/4 + y^2/16= 1 at the point (x,y)

### calculus

Recall that the volume of a sphere of radius r is V(r) =4\, \pi\, r^3 /3. Find L, the linearisation of V(r) at r=50

### Calculus

Find the polynomial end-behavior asymptote in the graph of f(x)=(2x^3 +6x-1)/(x+2)

### Calculus II

using integration by partial fraction, prove that pi + integral from 0 to 1 of x^4(1-x)^4/1+x^2 = 22/7

### Calculus II

the gamma function r(x) is defined by r(x)= integral from 0 to infinity of x^n-1(e^-1)dx. find r(1), r(2), r(3)

### Calculus

Evaluate ∫(2x^3/√(1-x^4))dx I can't figure out what u and du is... please help thanks

### calculus help

find y' and y'' for the equation below. Show work please!!! y= (x^3)/((x+1)^2)

### Calculus

Limit as x approaches 0 of x(1-cosx)/t-sinx. Confused on how to get this answer.

### calculus

x(t)=3t^3-40.5t^2+162t find where object is speeding up or slowing down

### Calculus Please Help3

Find the area of the region. 2y=3sqrtx, y=5 and 2y+2x=5 ty

### calculus help

find the derivative of the function. integral cos(x) to sin(x) ((ln(8+3v))dv)

### calculus help

find the derivative of the function integral from cosx to sinx (ln(8+3v)dv)

### calculus

Find the interval of convergence of the series. ∑(sinx/10)^n

### calculus

Identify the open intervals) where the function f of F(x)= x√10-x^2 is increasing.

### Calculus

Compute the absolute and relative errors in using c to approximate x. x=e;c=2.68

### Calculus

Given f(x) = csc^4(5x^2-3x+1), find f'(x). Show all work.

### Urgent Calculus Help 2

Find the equation of the tangent line to the graph of f(x) = 6x ln(x + 4) at x = 2.

### calculus 2

use the simpsons rule with n=10, arc length y=^3√x, for 1<=x<6

### Calculus

use the simpson's rule with n=10 to estimate arc length of y=x^(-1/3), for 1<=x<6

### Calculus-Math

Complete the table. y = f(g(x)) u = g(x) y = f(u) y = (x + 18)^(-1/2) u = ? y=? Use the chain rule.

### Calculus-Math

Find the derivative of 4 sec^7 (πt − 6)?

### calculus

How to find the x and y coordination of all inflection points? f(x) = x^4- 12x^2?

### calculus

Find the derivative of (6x^2+4y^2)/(3x+7y)=3 using implicit and quotients rule. Thank you!

### Calculus

Simplify the expression cot (cos−1(x)). Not sure how to do this.

### calculus

Find the linear approximation of f(x)=\ln x at x=1 and use it to estimate ln 1.12. L(x)= . ? ln 1.12 \approx ?

### Calculus

Use the product rule to find the derivative of the following. k(t)=(t^2-4)^2 k'(t)=

### Calculus

1. On what interval is the function f(x)=x^3-4x^2+5x concave upward? My answer: (4/3, infinity) ?????

### calculus

find the derivative of the function y=log absolut power 2-x

### Calculus

can you please explain the chain rule in simple terms. thank you

### Calculus

can you show me how to solve an equation using the chain rule

### Calculus

did i use the chain rule correctly? y=(8x^4-5x^2+1)^4 d(f(x)/dx =d/dx ((8x^4-5x^2+1)^4) =4*(8x^4-5x^2+1)^3*d/dx(8x^4-5x^2+1) =4*(8*d/dx(x^4)-5*d/dx(x^2))*(8x^4-5x^2+1)^3 =4*(8*4x^3-5*2x)*(8x^4-5x^2+1)^3 =4*(32x^3-10x)*(8x^4-5x^2+1)^3

### Calculus

Find the general indefinite integral ∫ v(v3+5)2dv

### Calculus

6) Evaluate the indefinite integral. ∫cosx/(7sinx+35)dx

### Calculus

Determine the limit as x approaches 1 f(x) if f(x)={3-x, x does not equal 1 and 1, x=1 A. 2 B. 1 C. 3/2 D. DNE E. None of these

### Calculus

Find limit as x approaches -1 (x^2+2x+3)/(x^2+1) A. 0 B. 1 C. Infinity D. DNE E. None of these

### Calculus

Find the limit as x approaches 0 [(sqrt(x+9))-3]/x A. 0 B. 1 C. Infinity D. 1/3 E. None of these

### Calculus

Find limit as x approaches -1 (x^2+2x+3)/(x^2+1) A. 0 B. 1 C. Infinity D. DNE E. None of these