# Pre- Calculus

21,894 results, page 79
1. ## Calculus

Find the derivative of 1/8tan^(-1)(x/8) & (x/2)(sqrt(64-x^2) + 32sin^(-1)(x/8)?
2. ## Calculus

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

Calculate the interval of convergence. Sigma from n=1 to infinity of (n!*x^n)/n^n.
4. ## Calculus

Help me simplify this down some more so I can set it to zero and find my critical points. f(x) = x^3 (x+2)^6 f'(x) = x^3 * 6(x+2)^5 + 3x^2 * (x+2)^6
5. ## calculus

Use the definition of derivative: lim(as h approaches 0) (f(x+h)-f(x)/(h) to find f(x)=(1)/(2x).
6. ## Differential calculus

Find the equation of the parabola w/ v(3,-4) and with directrix y=0.
7. ## calculus

What is the largest possible product of two negative number whose sum is 1?
8. ## Calculus

What is the largest possible product of two non-negative number whose sum is 1
9. ## calculus

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

Use a linear approximation (or differentials) to estimate the given number. e0.01
11. ## Calculus

Find the limit. lim (x+2)/(radical(9x^2+1)) x-->infinity
12. ## Calculus

(1 pt) If f(x) = 2 √x, use the definition of derivative to find f′( x ).
13. ## Math-Calculus

Find f(x+h) -f(x) all over h...given f(x)= sqrt of all over 2x +3 . Rationalize the numerator if possible.
14. ## Calculus

Find the exact area below the curve (1-x)*x^9 and above the x axis
15. ## calculus

f(x)=1/x^2 use formal definition of derivative to find slope at x=2
16. ## Calculus

[Implicit Differentiation] (5x-y)^4 + 2y^3 = 258 evaluate y' at the point (1,1)
17. ## Calculus

Evaluate y' at (2,1) [Implicit differentiation] 5xy-3x-4=0 I got 3/10 and 2/10 but both were wrong.

Simplify the expression: cos(2tan^(-1)x) any help is appreciated =D
19. ## Calculus

Let f(x)= 6x+(4/x^2). then the equation of the tangent line to the graph of f(x) at the point (2,13) is given by y=mx+b. What is m and what is b?
20. ## calculus

how do you find the derivative of this (-x^2)/ (2) +2 and does it have any x intercepts, asypmtotes, or holes.
21. ## Calculus

Write the equation of an ellipse with the foci (17, 0) and (-17, 0) and co-verticies (0, 15) and (0, -15).
22. ## Calculus 1

Find the derivative of the function. F(t) = e^(4t sin 2t)
23. ## calculus

What is the average rate of change of y=4x^3 over the interval P(1, 4) and Q(5, 500)?
24. ## Calculus

Find the x-coordinates where f '(x) = 0 for f(x) = 2x + sin(2x) in the interval [0, 2π]. MY ANSWERS: x = π/2 x = 3π/2
25. ## Calculus

lim 1/(1+h)^2-1/h h->0 I have 1 as my final answer and was wondering if i was correct
26. ## calculus

what is the limit of (1-tanx)/(sinx-cosx) as x approaches pi/4?
27. ## calculus

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

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

Find the Riemann sum for f(x) = sin x over the interval [0, 2π], where x0 = 0, x1 = π/4, x2 = π/3, x3 = π, and x4 = 2π, and where c1 = π/6, c2 = π/3, c3 = 2π/3, and c4 = 3π/2.
30. ## Calculus

Let u = (-2,3) and v = (5,-6). Find the sum and the dot product of these two vectors.
31. ## maths calculus also

what is the area enclosed by the curved y=4x-x^2,and y=x^2-2x along the x-axis thanks so much help
32. ## Calculus

Find the integral of x^2 divided by the square root of (2x-x^2) dx
33. ## Calculus AB

Verify if the given equations are solutions to the differential equation. dy/dt=k(y-a) i) y=1-ae^(kt) ii) y=a+Ce^(kt)
34. ## Calculus

Find dy/dx if x^2+y^2=2xy A. x/(x-y) B. (y+x)/(y-x) C. 1 D. -x/y E. None of these Do I equal it to 0 and use implicit rule?
35. ## calculus

The slope of the tangent line to the parabola y=3x^2+6x+5 at the point (-3,14)
36. ## calculus

find the integral of square root of 1+x^3 dx or sqrt(1+ x^3)dx
37. ## calculus help

find the integral of square root of 1+x^3 dx or sqrt(1+ x^3)dx
38. ## calculus

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

f(x) = (5e^x-6)/(17e^x+13) find f^-1(x). since the domain of f^-1(x) is in the open interval (a, b) what is a and and b?
40. ## Calculus

Can two level curves of a function intersect; explain?
41. ## Calculus AP

im still stuck. i need help. evaluate the integral ∫sinx /(1+x^2) dx from -1 to 1
42. ## 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
43. ## calculus

Derivative of: (exp(8x^4))(5x^3+9)^3 ___________________________ (divided by) (22x^2+4x-20)^2
44. ## Calculus

If F(x)=f(g(x)-h(x)), where g(3)=5, h(3)=4, g'(3)=3, h'(3)=1 and f'(1)=10, find F'(3). I know how to do derivatives and all, but I rlly can't figure this question out
45. ## calculus

integrate log base 10 x / x dx i don't understand this
46. ## Calculus II

Solve the Initial Value Problem: Let k and Po be positive constants. P(0)=Po dP/dt = kP^2
47. ## calculus

Find the area of the figure. 17) E ach square is 7 ft by 7 ft.
48. ## Calculus

Solve the following equation on the interval [0,2pi) if sin = -0.29?
49. ## calculus

find the area of each circle. use 22 over 7 for pie. and radis for 15 in.
50. ## Calculus II

If {an} (a sequence) is decreasing and an > 0 for all n, then {an} is convergent. True/False?
51. ## 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

Find two numbers whose sum is 42 and whose product will be at the largest possible.
53. ## calculus

How do I find the x values at which the tangents to the graphs f(x)=2x^2 and g(x)=x^3 have the same slope?
54. ## calculus

Please show me how you do this. Thank you. Calculate the definite integral: 2 ∫_ 2x dx 7
55. ## calculus

Under what conditions for f'(x) and f''(X) can a graph be " straight" wthout being horizontal?
56. ## calculus

when finding area, what does it mean when it says that the function is below by the x-axis, can you give me example of this
57. ## Maths - calculus

equation for the hyperbola which has vertices (0;9) and asymptotes y= 18/5 x
58. ## calculus

evaluate the improper integral whenever it is convergent ∫0,-00 1/(4-x)^(3/2) dx
59. ## Calculus

Find the domain: f(x)= x2-7x+12/x4-8x3+13x2+30x-72
60. ## calculus

find the area of the region under the curve y=f(x)=e^2x over the indicated interval x<2
61. ## calculus

Evaluate the definite integral: [4,8] (4x^2+10)/(x^(1/2)) dx Been trying this for about 1 hour. Very frustrated, thank you.
62. ## calculus

what is three times the square root of the third derivative of x cubed. where x=y-2 and y=8
63. ## Calculus

Given that \displaystyle \int_0^4 x^3\sqrt{9+x^2} dx = a, what is the value of \lfloor a \rfloor?
64. ## CAlculus

using chain rule find the derivative of y=xsin1/x
65. ## Calculus

How do I go about integrating sin[x^(1/3)]dx?? I tried doing integration by parts and I'm going in circles.
66. ## 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
67. ## calculus

solve what is the limit x->(pi/4) (1-tanx)/(sinx-cosx)
68. ## Calculus

Find the tangent line approximation for sqrt(3+x) near x=0.
69. ## Calculus

Find all the intervals on which the function is concave upward: f(x)= 4x^2-x/x^4
70. ## Calculus

how do I solve for t when i am given: 5000 = 45t^2 + 240t + 450
71. ## Calculus

Find the horizontal asymptote for the function: 3x^4-2x^3+7x/x^4/14x-2
72. ## Calculus

Find relative maxima and minima of g(x)= 2x^2+ 4000/x +10
73. ## Calculus

What is the antiderivative of: (x - x^3) / (x^4 +1)? I know that somehow I will need to factor out 1/(x^2 + 1), or the derivative of arctan, but I'm not quite sure how to do this. Any help is appreciated, thank you.

75. ## calculus

Evaluate the indefinite integral of (5dx)/(xln(6x))
76. ## Calculus

Find the equation of the tangent line when x=2 for the functin f(x)=5^(x/2)
77. ## calculus

evaluate the indefinite integral of (5dx)/(xln(7x))

Let f(x)=4−x^2. Find each of the following: (f(2+h)- f(2))/h = ________ lim h->0 (f(2+h)- f(2))/h = ______
79. ## calculus

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

An equation of the line with slope -1 that passes through the point (2,5) is y=-x+7
81. ## calculus

Find the equation of the tangent line to the graph of f(x)=4x^3-1x^2+1 at x=-2.
82. ## Calculus

On what intervals is the function f(x)=x^7−7x^6 both decreasing and concave up?
83. ## Calculus

If the equation of the tangent line to the curve: xy^3+xy=6, (3,1) find m and b
84. ## calculus

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

For the function f(x) = 18/(3x-14) determine the x-coordinate of any vertical asymptote

87. ## calculus

Let f(x)= Ax^2 + Bx + C. If f(x) passes through the point (-1,1) and has a relative minimum at (1,-13), find A, B, and C.
88. ## calculus

f''(x) = (3x^3 - 5x^2 + 1) / x^2; and f(1) = 0, f(-1) = 1. So i turn f''(x) into (3x^3 - 5x^2 + 1)(x^-2) and multiply to get f''(x) = 3x - 5 + x^-2 So f'(x) = (3/2)x^2 - 5x - (1/x) + c And f(x) = (1/2)x^3 - (5/2)x^2 - ln(x) + cx + d Not really sure what to
89. ## Calculus

Find the derivative of the function f by using the rules of differentiation. f(x) = (10 x^3 + 3 x^2 + 5 x - 7)/x
90. ## Calculus

Solve for x in the equation ln(16-12x)-2lnx)= ln4
91. ## Calculus

Solve for x in the equation ln(16-12x)-2lnx = ln4
92. ## calculus

Find the critical numbers for the function f(x) = 2x / sqrt(x-1)
93. ## calculus

Find the area bounded by the x-axis ,the curve y= 1/x+2, x=0,y=0, and x=5
94. ## Calculus

Find the equation of the tangent line to the curve 2e^(xy) = x + y at (0,2)
95. ## CALCULUS

X2 + Y4 = 16 find the slopes of the 2 tangent lines to the curve from (5,1)
96. ## calculus

What are the critical attributes that obtain between a derivative and a differential?