# Pre- Calculus

21,892 results, page 86
1. ## calculus

find the sum of p+m if the function g(x)= p(x^2-m)/(x+2)(x+5)has a horizontal asymptote at y=5 and a hole at x=-2
2. ## Calculus

Find the derivative of 10x^2+4y^2=sqrt(7). Is the answer 20x+8y=0
3. ## calculus

pls integrate and differentiate e^x^2 and x/y square root of x^2+y^2 in terms of x.
4. ## Calculus

Determine if convergent or divergent: Integral 1 to infinity of e to the power of (-1/2).
5. ## Calculus

flickr.(dotcom)/photos/77304025@N07/6782789880/
6. ## math/calculus

f(x)=the squareroot of (x^2-9) and g(x)=1/x-4 find the domain and range of f(g(x)) anf f(f(x))
7. ## Calculus

Find dy/dx of the function 10x^2+4y^2=sqrt(7). Is the answer 20x+8y=0
8. ## Calculus

Use the Product Rule to find the derivative of the function. f(x) = (x^3 − 2x)(5x^2 + 2x)
9. ## CALCULUS

Let f(x)=x^(3)+x-1. Find ech number c in (1,2) that satisfies the conclusion of the Mean Value Theorem.
10. ## Calculus Derivatives

what's the equations of both lines through the point (2,3) that are tangent to the parabola y=x^2+x
11. ## calculus

Let f(x)=2.2 3x. Estimate the derivative f'(2.3) to within two decimal places by using a small enough interval.
12. ## Ap Calculus

Find the equation of the tangent line to the graph of f(x)=cos3xlnx^4 at (1,0)
13. ## Calculus

Find the maximum and minimum product of 2 numbers who sum is 5
14. ## Calculus

Find the maximum area of a rectangle that lies above the x axis and below y=9-x^2
15. ## calculus

solution for limit as delta x approaches 0 (1-cos4x/1-cos2x)
16. ## calculus

Find a cubic polynomial such as f(x)=ax^3+bx^2+cx+d that has horizontal tangents at the points (-5,4) and (4,-4)
17. ## integral calculus

FIND THE AREA OF THE REGION BOUNDED BY THE CURVES Y= X^2 + 4X + 3 AND Y= x-1.
18. ## Calculus

t 0 3 6 9 12 v(t) 32 35 37 38 41 Using the chart above, find an upper estimate for the distance traveled using n=2 and n=4
19. ## 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?
20. ## Calculus

Problem 12. Find the derivative of the function. f(x)=e^(x)^1/2 My answer is: [e^(x)^1/2]/2x^(1/2) Is this correct?
21. ## Calculus

The function f(x) = x^3 + x an inverse. Compute f^-1(0) and f^-1(2). Hint: Do not try to evaluate f^-1 explicitly.
22. ## calculus

Find the derivate of the function f(x) = 2x2 + 23x + 5 What is the value of this derivative when x = 19
23. ## 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.
24. ## calculus

Find the derivate of the function f(x) = 2x2 + 23x + 5 What is the value of this derivative when x = 19
25. ## Calculus

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

Find the derivative of the function f by using the rules of differentiation. F(x) = 3 ã x
27. ## Calculus

prove that the integral of arcsec(x) is equal to xarcsec(x) - ln|x+ sqrt((x^2)-1)
28. ## Calculus (Math 2A)

express the function in the form f * g g(x) = cube-root (x/1+x) i know f(x) has to be something and g(x) has to be something i think that f(x) = x/1+x and g(x) = x^(1/3) but im not sure how to do this....thanks for the help!
29. ## calculus

Find the area bounded by the curve y=1/2+2, the x-axis, and the lines x=1 and x=4. a.7 1/2 b.10 2/3 c.16 d.28 1/2
30. ## calculus

verify that y=C1e^2x + C2e^-3 is a solution of the differential equation y''+y'-6y=0
31. ## calculus/derivatives

I need to find the derivative and can't do them when they are raised to powers? Thank You. m(x)x^5 - 5x^3+7x -4)^10 (4x^9 +19)^23 this on is tuff!
32. ## Calculus

Write the sum using summation notation. 2 + 5 + 8 + 11 + ... + 29 Also, I know that it is going up by 3 units. But I am not sure how to get it into the form below: example: 15 ‡” k +3 k-1
33. ## 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).
34. ## Calculus (Thanks a bunch!)

Simplify the following expression 5lnx - 1/2 lny + 3 lnz
35. ## Calculus

Can someone help me to integrate by substitution the indefinite integral: (sinx)/ (1+cos(^2)x)?
36. ## calculus

Find all positive values of x that satisfy x multiplied by the x root of x^2 = x^x
37. ## Calculus

Find the derivative of the function y, below. It may be to your advantage to simplify before differentiating. y = 8x(ln(x)+ln(2))-4x+pi
38. ## Calculus

Implicit Differentiation: Find dy/dx for each. Leave answers in terms of both x and y. 1) 1/y + 1/x = 1 + y^2 2) -(x^2 / y^2)
39. ## Calculus

If M is 30% of Q, Q is 20% of P, and N is 25% of P, then M/N equals which of the following? (a) 3/250 (b) 3/25 (c) 1 (d) 6/5 (e) 4/3 When I do this problem I keep getting 6/25, but that is not one of the choices. Any help would be greatly appreciated.
40. ## calculus

Find the volume formed by rotating the region enclosed by: x=5y and y3=x with y0
41. ## Calculus I

Section Antiderivatives: Find the function f(x) satisfying the given conditions. f''(t) = 4 + 6t, f(1) = 3, f(-1) = -2
42. ## 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(:
43. ## high school calculus

How do you find the x-coordinate of any hole (s) in the graph of f(x)= x2-2x/x2-4?
44. ## Calculus.

Use a linear approximation (or differentials) to estimate the given number. radical (99.4)
45. ## calculus

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

Find the points on the curve y = 2x^3 + 3x^2 - 12x + 1 where the tangent is horizontal
47. ## MATH -CALCULUS

SKETCH THE REGION ENCLOSED BY THE GIVEN CURVES: Y=|10X|, Y=X^2-11
48. ## Calculus

Find the area of the region bounded by the graphs of y = x, y = −x + 4, and y = 0. 1 2 4 None of these
49. ## Calculus

Use the quotient rule to find f'(x): f(x) = [(x+4)(x-5)]/[2x(x+3)] For the first part...do I put them together? Can someone please complete this.
50. ## Calculus

f(x) = [3/x^2] - [5/x^7], F(x) is the antiderivative of f(x) with F(1)=0. F(x) = ? I have no idea how to approach this problem. The fractions are scaring me.
51. ## Calculus 1

Find the equation of the tangent line to the curve y = (9 ln x)/x at the points (1, 0) and (e, 9/e).

53. ## 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 + ...
54. ## calculus

given f(x)=ã(x). find the distance of the point P(2,5) from the line tangent to the functions at x=4.
55. ## calculus

solve the initial value problem by seperation of variables du/dt=2t+sec2t/2u, u(0)=-5
56. ## Calculus

prove: if z is a complex number and 1/z=the conjugate of z over the absolute value of z squared.
57. ## Calculus

Let f : R --> R be an odd function. Explain why, for any positive number a, the integral from -a to a of f(x) = 0.
58. ## calculus

solve the initial value problem by seperation of variables du/dt=2t+sec2t/2u, u(0)=-5
59. ## Calculus question ?

Are there any horizontal asymptote on a ln natural log function
60. ## Calculus

-e^[(-(x-a)^2)/b] b>0; local max at x=7 and points of inflection are x=5 and x=9. Find the formula... y=
61. ## ap calculus

find the particular solution y=f(x) to the differential equation with the initial condition y(-1)=3/2
62. ## ap calculus

write an equation for the line tangent to the graph of f at (-1,3/2) and use it to approximate f(-1,1)
63. ## Calculus

An arithmetic progression has terms a8 =23 and a20 =83 . What is the value of the term a12
64. ## Calculus

C(x) = 16x^(1/2) + x^2/1000 Find x to meet the minimum cost
65. ## calculus

rewrite each summation using the sigma notation. Do not evaluate the sums (a)3 + 4 + 5 + . . . + 93 + 94 (b)9 + 16 + 25 + 36 + . . . + 14
66. ## Calculus

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)
67. ## Calculus III

Find an equation of the plane passing through the three points given. P=(5,1,1) Q=(1,1,2) R=(2,1,1)
68. ## 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
69. ## calculus

find the general solution x^2-2(e^y)dy/dx = y^3+e(x^2) i am getting the y^3 dx when i do seperation of variables how do i deal with this.
70. ## calculus

if the tangent line to the function f(x)=ãx +a at x=16 has equation y=mx+6. find a and m. you may use the fact that f'(x)= 1/(2ãx)
71. ## Calculus

Find the absolute maximum and minimum values of f(x)=(x^2)(e^(-x/2)) on the interval [-1,6]
72. ## 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
73. ## Calculus

Given y = 5 sin(6x – pie), state the (a) period (b) phase shift
74. ## Calculus

How to integrate dx/(4-5 sin x) using t-substitution method(i.e. taking tan x/2=t)?
75. ## calculus

The region bounded by y=x^2 and y=4 is rotated about the line y=-1. Find the volume.
76. ## calculus

find the general solution x^2-2(e^y)dy/dx = y^3+e(x^2) i am getting the y^3 dx when i do seperation of variables how do i deal with this.
77. ## Calculus(URGENT PLS!!!)

Find the integral of (e^cosx)sinx
78. ## calculus

Express the following as a product containing only sines and/or cosines. sin9x−sin7x
79. ## calculus

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

P=(2,1,0) Q=(1,5,2) R=(-1,13,6) Are P, Q, and R collinear? If not, find a vector normal to the plane containing them.
81. ## Calculus 1

Use definition to find the area of f(x)=5x-2x^3 on interval [6, -6]with four sample right side
82. ## Calculus

Determine whether the sequence is divergent or convergent. a(sub n)=(−1)^n(sin(2/n))
83. ## Calculus

f(x)=x^3(x^(4)-8) Find f '(x) by multiplying out before taking the derivative Is the answer x^12+-8+x^12-8x^3 simplified to 2x^12-8x^3+-16
84. ## calculus

Find the 1st derivative of the function: y = 1/4 sin^2 (2x) So confused...
85. ## calculus

find the are of the surface of the part of the sphere (x^2)+(y^2)+(z^2)=4 that lies above the plane z=4
86. ## calculus

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

Find an equation of the tangent line to the curve at the given point. y = 3x^2 - x^3, (1,2)
88. ## Calculus

If f is a vector-valued function defined by <sin2t, cos2t> then what is f '' (pi/4)? I think it is <-4, -√2/2>.
89. ## Calculus

Find the slope of the tangent line to the graph of the equation: y = (2x^2+3)(x-1) at x=2. a = 11 b = 08 c = 19 d = 16
90. ## calculus

Verify the identity: (tanx+1)/(secx+cscx) = sinx
91. ## Calculus 2

Find the area bounded by the curves y=sin(4x) and y=0 for x between x=0 and x=3pi/8.
92. ## Calculus 1

True or false. Explain. The line x=1 is a vertical asymptote of f(x)=(x^2+x-2)/(x^2-1)
93. ## calculus

evaluate the limit as x approaches positive and negative infinity (x^2+6x+8)/(x+3)^2
94. ## Calculus

Find the y-intercept of the tangent line to y= -0.2/sqrt(6+5x) at(2.5,-0.04990597277) Thanks
95. ## calculus

Find an equation(s) of the circle(s) described. Tangent to x + y = 0 and x - y - 6 = 0; center on 3x - y + 3 = 0. How do you solve this?
96. ## Calculus

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

A rectangular prism is defined by vectors (2,0,0) (0,9,6) and (0,0,3). Find the volume.
98. ## calculus

y=3⋅2^x Find the equation of the line tangent to the graph of y at x=1.5.
99. ## calculus

solve the differential equation that satisfies the given condition: dy/dx=(ycos(x))/(6+y^2), y(0)=1
100. ## Calculus 1

Find the linear approximation of the function g(x)=cube root(1+x) at a=0.