# Pre- Calculus

21,321 results, page 72

### calculus

why is that when it comes to diagonal it must be divided into 2

### COLLEGE CALCULUS. HELP!

Let f(x)=(-3x^2+6)^4(9x^2+7)^14, Find f'(x). f'(x)= (-3^2+6)^4 d/dx(9x^2+7)^14+(9x^2+7) d/dx(-3x^2+6)^4 =(-3x^2+6)x14(9x^2+7)^13 d/dx(9x^2+7)+(9x^2+7)^14x4(-3x^2+6)^3 d/dx(-3x^2+6) =14(-3x+6)^4(9x^+7)^13 (18x)+ 4(9x^2+7)(-3x^2+6)^3 (-6x)

### COLLEGE CALCULUS. HELP!

Find the derivative of the function. 1. F(x)= (1+2x+x^3)^1/4 2. f(t)= (1+tant)^1/3

### calculus

3. For what value of k will x+k/x have a relative maximum at x = -2? A. -4 B. -2 C. 2 D. 4 E. None of these

### calculus

How do I find the indefinite integral of cosx/(1-cos^2 x)dx?

### COLLEGE CALCULUS.

i don't understand this problem Let F(x)=f(x^4) and G(x)=(f(x))^4. You also know that a^3=2, f'(a)=13, f'(a^4)=15. Find F'(a) and G'(a).

### calculus

Evaluate the following integral: (X)(cube root(x+1))dx

### Calculus AB

The integral from a to b of f(x)/g(x) equals ln[(g(b)/g(a)]. Find g'(x), and explain your reasoning.

### calculus

FInd the area of the region bounded by the graphs of y= 3x^2+1 , y=0, x=-2.7, x=2.5

### calculus

for abs value of x <1, the derivative of y= ln square root 1-x^2 is.....?

### Calculus

Determine the maximum and minimum value of the function f(x)=-xe^x + 2.

### Calculus

Show that a,b,c, and d are positive integers when, ((a^2+1)(b^2+1)(c^2+1)(d^2+1))/abcd≥16

### Calculus

For which value(s) of k will the dot product of the vectors (k,2k-1, 3) and (k,5,-4) be 7? I did this so far, 2k-1=5 6/2 k=3

### calculus

find the total differential of the function f(x,y)= xye^(x+y)

### calculus

find the approximate change in z when the point (x,y) changes from (1,1)to (1.01, 0.90) f(x,y) = xe^(-y) + ye^(-x)

### Calculus

Are the points P(1,2), Q(7,3) and R(-2,1) o the line with vector equation r=(19,5) +s(6,1), SeR

### calculus

evaluate lim of x as it approaches infinity for sqrt of x^2 -1/2x+1

### college Calculus Help!

If f(x)= ∫(21,x) t^5 dt then f'(x). my answer was 1/6 (21^6-x^6) it said it's wrong.

### calculus

use differentials to approximate the value of the squareroot of 4.3

### Calculus

find the region enclosed by the given curves: 4x+y^2=9, x=2y

### calculus

Solve for x on the interval (0, 2pi] (sin2x + cos2x)^2 = 1

### Calculus

Find the derivative 1. y = e^xSin²x 2. y = (x³+1)e^-4 3. y = x²e^Sinx

### calculus

find the interval on which the graph of f(x)=ln(x^2+1) is concave upward.

### Calculus

Find the minimum distance from the parabola x + y^2 = 0 to the point (0,-3).

### Calculus

Find the minimum distance from the parabola x + y^2 = 0 to the point (0,-3).

### calculus

Find the area of the region enclosed by y=6x2 and y=x2+15

### calculus 3

find and sketch the natural domain of f(x,y)= √(x+y^2 )/(x^2+y^2 )

### calculus

find to the nearest integer the value of C that satisfies (y-6)dy=(x+4)/(y-3)dx, y(-1/12)=2

### calculus

find the volume of the region bounded by y=e^x, y=2, and the y axis

### Calculus

Calculate the dot product of two vectors: m = [4,5,-1] and n = [6,-2,7]

### Calculus

can someone help me find the antiderivative of: f(x)=4x times the squareroot of (1-x^2)

### Calculus

Integrate e^((x^3)/2) How do I start? I know that the integral of e^x is just e^x plus C, but what do I do with the ((x^3)/2)? Thanks!

### CALCULUS!

When S is sales and t is time, and the original function is S(t), what does S'(24) and S''(24) represent?

### Calculus

6. Find out if the line r = (1, 3, 8) + t (-2, 5, 7) is parallel to the plane 3x + 4y - 2z = 1

### Calculus

6. Find out if the line r = (1, 3, 8) + t (-2, 5, 7) is parallel to the plane 3x + 4y - 2z = 1

### Calculus

6. Find out if the line r = (1, 3, 8) + t (-2, 5, 7) is parallel to the plane 3x + 4y - 2z = 1

### Calculus

Find the shortest distance from a point P(2,-1,2) to a line L r= [-1,0,7] + t [4,1,-2].

### Calculus

The graph of f(x)=(ax+b)/(x^2 - 5x + 4) has a horizontal tangent line at (2, -1). Find a and b

### calculus

find the derivative of the function f(x)= tan (10x^2)

### Calculus

Differentiate each function a) y = Cos³ x b) y = Sin(x³) c) y = Sin²xCos3x

### CALCULUS

Evaluate limit L'Hospitals Rule: lim x->0+ (x)^(pi/2)

### Calculus

Apply Rolle's theorem if possible and find c if y=x^(2/3)-16

### Calculus

Find the dot product of (u+v)*w u=-1,3 v=2,4 w=2,-5 Answer choices: A:37 B:-37 C:-29 D:-33 E:29 F:9

### Calculus

Write the equation of an ellipse with the foci (17, 0) and (-17, 0) and co-verticies (0, 15) and (0, -15).

### calculus

How do I take the partial derivative of P with respect to r of the following: D ~ P = ‡”(t=1 to T)[t ~ (CF)_t/(1+r)^t ]

### Calculus

Find the critical numbers of y=x(4-x)^1/2. The answer is x=8/3 but I got x=7/2.

Determine the intervals where f(x)=e^-x^2/2 is increasing and decreasing

### calculus

Compute the derivative for the following: n(x) = sin(x^3-5x^2+4x-7) Thanks, andy

### calculus

y=x^3=cx and y=ax^2+bx-1 have a common tangent at (-1,-4). find a, b, andc

### calculus

Find the limit if it exist lim t-->pi/3 (tan(t)/t)+1

### Calculus

find the limit(if it exists), if not explain why. lim x--> 4- (3[[x]]-5)

### calculus

Calculate the following integral: ∫ dx / x(1 - √x)^2

### calculus

Differentiate the function. y = (Square root x)(x − 10)

### calculus

Differentiate: 1/s+ke^s Do I just use the quotient rule? Thanks

### calculus

Find y'' by implicit differentiation. 3x3 + 4y3 = 1

### Calculus 2

integral of xarctanxdx using integration by parts.

### Calculus II

Calculate the area inside both of the ellipses (x^2)/3 + y^2 =1 and x^2 + (y^2)/3 = 1.

### calculus

f(x)=(x^2+1)(1-x-x^3).Determine the equation of the line tangent to f(x) at the point (1,-2).

### Calculus

determine the point(s)at which the graph of y^4 = y^2 -x^2 has a horizontal tangent.

### calculus

Integrate e^2x/e^x 1....plzz note e^x 1 as a whole is the denominator

### CALCULUS help! =)

find the derivative of f(x)=3x^2-x using the limit definition.

### CALCULUS

Find derivative of: g(theta) = cos^2(2theta-1)

### calculus help!!!!

Find derivative of: g(theta) = cos^2(2theta-1)

### Calculus

Find the second derivative of the function. g(x)=x^6secx

### calculus

Make a singn diagram for the derivative of the function f(x)= (x-1)^4

### Calculus 2

find the integral of x/(x^2+4)dx using trigonometric substitution.

### Calculus

Find the first and second derivative for the function g(t)=t^2(3t+1)^4

### Calculus

(x) = x ^3 - 12 x + 11, write the equation of the line tangent to the curve at x = 1

### Calculus (math)

Write a formula for f^-1 (x) if f(x) = (x+5)/(3x-4) and state the domain of f-1

### Calculus

If the line 3x-4y=0 is tangent in the first quadrant to the curve y=x^3+k, then k is a: 1/2 b: 1/4 c: 0 d: -1/8 e: -1/2

### calculus

Find the minimum distance from a point (6,3) to the parabola y^2=8x.

### Calculus

Find the area between the following functions 2y=2x^2; y=1-x^2 & x=1

### Calculus

use implicit differentiation to find dy/dx if x^3+y^3=6xy

### Calculus

use implicit differentiation to find dy/dx if x^3+y^3=6xy

### calculus

what is the value of this limit lim ( (square root x^2+7) +5) x->-3 A 7 B 5 C 3 D 10 E 9

### calculus

Which expression completes the identity sin ucosv = ?

### calculus

If Sn = 1 + 6 + 11 + 16 + 21 + 26...... where an = (5n − 4), what would be the mathematical expression represented by Sk + ak + 1?

### AP CALCULUS

Using the mean value theorem; F'(x) = f(b)-f(a) / b-a f(x)=x^2-8x+3; interval [-1,6]

### Calculus

Evaluate integral of x times square root of (2x-1)dx

### calculus

INTEGRATION BY PARTS... 1) e^5t sin 3t dt 2) xe^3x dx 3) x sec^2 x dx **anybody can help me for this question?

### calculus

INTEGRATION USING PARTIAL FRACTIONS a) 4x^2-3x+2 / x^3-x^2-2x dx b) x^2 / (x+1)(x+1)^2 dx c) 3-3x / 2x^2+6x dx d) x^2+2x-1 / (x^2+1)(x-1) dx ##anybody can help me for this question?

### calculus

If (a,-12) is a point on the graph of y=x^2+7x, what is a? please show work

### Calculus

How many coefficients in the binomial series expansion of (1+x)^7 are divisible by 7?

### calculus

find the differential dy of the given function y=3x-4 sec(2x-1)

### calculus

Calculate the area between curves y=e^x and y=-e^x on the interval [0,1]

### ap calculus

f(x)=x^3-2x^2+x and f'(x)=3x^2-4x+1 Find the value(s) of x where f(x) has a horizontal tangent (slope=0)

### calculus

Using the function f(x)=4 - 1/(x+6)^2 A.what is the doamin? b.the range c. the asymptotes

### calculus

For what values of z will (2-z)-y = 0 4x+(1+z)y = 0 have an infinite number of solutions.

### calculus

let f(x)=(x^2+2x-15)/(3x^2+12x-15) Find the horizontal and vertical asymptotes of f(x).

### Calculus

let f(x)=(x^2+2x-15)/(3x^2+12x-15) Find the horizontal and vertical asymptotes of f(x).

### Calculus

Find the arc length given the equation y=(x^4/8)+(1/4x^2) [1,3]

### Calculus

Find the arc length given the equation y=(x^4/8)+(1/4x^2) [1,3]

### AP calculus

∫[0,x^(3),(t)/√(1+t^(3)),] Find the derivative of the integral. A. (3(x^3))/((1+(x^9))^0.5) B. (x^3)/((1+x^9)^0.5) C. (3x^3)/((1+x^3)^0.5) D. (5x^3)/((1+x^6)^0.5) E. (3x^5)/((1+x^3)^0.5)

### calculus

Find the values of x for which each function is continuous. 1.) f(x)= 2x+1/x^2+x-2 2.) f(x)= x if x is less than or =1 = 2x-1 if x>1

### Calculus

Let h(x) = 4x^2 + 2 x + 2. Let g(x) = 3√{x} + 1 (This is the third square root plus 1) (a) g(h(x)) = (b) h(g(x)) = (c) h(h(x)) = (d) g(x) + 1 = (e) g(x+1) =

### calculus

find the equation of the line tangent to the graph y=3e^x at x=1

### calculus

find the equation of the line tangent to the graph y=3e^x at x=1