# Pre- Calculus

21,887 results, page 78
1. ## math/calculus

find the domain and range of the function f(x)=x^2-9/4x^2+x
2. ## math-calculus

x^2+9xy+20y^2 i never deal with something like this before i come up with (x+4)(x+5) but that wrong because y have to be there how i do this?
3. ## Calculus

Sketch the graph of a function that is continuous at x=5 but not differentiable at x=5.
4. ## Calculus

Use the form of the definition of the integral to evaluate the intergral. From 0 to 9 (10+6x-x^2)
5. ## Calculus

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

Compute the absolute and relative errors in using x to approximate x. x=pi; c=3.18
7. ## Calculus

How do I solve for: 5000 = 45t^2 + 240t + 450
8. ## calculus

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

Give an example of a function that is integrable on the interval [-1,1], but not continuous on [-1,1].
10. ## calculus

x arc cos square root of4x+1
11. ## Calculus

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

Calculate the arc length of y= 1/4x^2−1/2ln(x) over the interval [1,6e]
13. ## calculus

Find the equation of the curve for which y'=3x² and which passes through (1,-1).
14. ## Calculus

Find the area of the region enclosed by the given curves: 4x+y^2=9, x=2y
15. ## Calculus

Find all the intervals on which the function is concave upward: f(x)= 4x^2-x/x^4
16. ## 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
17. ## Calculus

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

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

find the derivative of the function s=t^9lnabsolut power t
20. ## calculus

find the derivative of y with respect to x if y=(13x^2-26x+26)e^-3x. y'=
21. ## Calculus 1

Find the exact value of each expression. (a) cot^-1(sqrt(3))
22. ## calculus

derivative of y=ln x/x^2 can someone double check the answer 1-2lnx/x^3
23. ## calculus

Sin2pieover13plus cos squared pie over 13 equals.
24. ## calculus

Sin2pieover13plus cos squared pie over 13 equals.
25. ## calculus

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

find the area of the region bounded by the curves f(x)=x-x^3 ; g(x)=x^2-x ; over [0,1]
27. ## Calculus

What is the average rate of change I would like to know how does the formula f(2.1)-f(2)= 12.3 how did they get that answers
28. ## Calculus

What exactly is an integral? I understand it is the area under a curve but what does it pertain to?
29. ## calculus

Assume that x and y are differentiable functions of t. Find dy/dt using the given values. xy=x+4 for x=4, dx/dt=-5 a. 0.20 b. 3.75 c. 1.25 d. 5.00 e. -0.25
30. ## math-calculus

value of |7|-|-6|+|-cubicroot-64| i got 25 after doing whole thing but real answer be 5, i not get how to get that.
31. ## Calculus

Evaluate limit as x approaches 0 of: csc^2(7x)tan(2x^2)
32. ## calculus

find an equation of the tangent line to the curve at y=2x^3+5x, (-1, 3)
33. ## calculus

For the function f(x) = 20x^3 − 3x^5, determine the interval(s) for which f(x) increases. (–2, 2) (–∞, –2) U (2, ∞) (–2, 0) U (2, ∞) (–∞, –2) U (0, 2)
34. ## Calculus

can you show me how to solve an equation using the chain rule
35. ## calculus

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

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

u have 7 different pass codes from a choice of 8 numbers how many possible outcomes are there
38. ## calculus

Use the tangent line approximation to approximate the value of ln(1008)

40. ## calculus

Evaluate the limit lim sin4x/tan9x x-> 0

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

For the function f(x) = 18/(3x-14) determine the x-coordinate of any vertical asymptote
43. ## 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
44. ## Calculus

If f(x)=e^(x+5lnx) find f'(4), correct to two decimal places.
45. ## Calculus

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

Find the area enclosed between f(x)=05x2+3 and g(x)=x from x=−8 to x=3.
47. ## Calculus

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

Find d^2y/dx^2 for y=(x+3)/(x-1) A. 0 B. y=-8/(x-1)3 C. y=-4/(x-1)^3 D. y=8/(x-1)^3 E. None of these I got a positive number but am not sure about the denominator in the second derivative.
49. ## Calculus

Find the limit of cosx/(1-sinx) as x->(pi/2) from + side
50. ## Calculus

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

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

If 3 x2+ 5 x + xy = 3 and y( 3 ) = −13, find y′( 3 ) by implicit differentiation.
53. ## calculus

Evaluate the following limit lim x--> 2 Square root over x^2 - x/2x - 3
54. ## Calculus (integrals)

Find the integral:8x^7+6/(x^8+6x)^2 I got ln(x^8+6x)^2 but apparently that is wrong.
55. ## 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
56. ## 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
57. ## 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?
58. ## 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
59. ## Calculus

Find the limit. lim x-->1 (x^3)-1/((5x^2)+2x-7) Please show steps.
60. ## Calculus

is there a number a such that the lim x->2 6x^2+ax+a+57/x^+x-6 exists? if so find the value of a and the limit.
61. ## calculus

Find the area of the region enclosed by y=6x2 and y=x2+15
62. ## Calculus

Use a linear approximation (or differentials) to estimate the given number. (32.06)^4/5
63. ## ap calculus

let y=f(x) be the particular solution for the differential equation with the initial condition y(-1_=3/2
64. ## 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
65. ## Calculus

find the absolute extrema of f(x)=sin pi x on [-1,2] Not sure how to do this problem....
66. ## Calculus

find the point(s) of inflection on the function f(x)= 10x + 10/x
67. ## calculus

Find all solutions in the interval [0,2π) sin3x−sinx=0
68. ## calculus

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

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

the equation represents for a recurrence relation, Mt+1= 0.75Mt+2 with Mo=5
71. ## calculus too hard help

if y=x^x^x^x... dy/dx=? plz show working thanks got no ideal at all
72. ## 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
73. ## Calculus

Find the slope of the graph y=x^9-2x+(square root of 5-x)^3 @ (1,7)
74. ## Calculus

Prove that the integral from 0 to 2 of sqrt(4-x^2)dx = pi Should I use a trip substitution for this? Thanks for the help.
75. ## Calculus

Solve for x: lnx^3 - 2lnx = 1 Please try and show how you got the answer best as you can thank you :)
76. ## Calculus

Estimate ç4 1 ln(x)−3dx using 6 midpoint rectangles
77. ## calculus

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

Find the area of the region in the first quadrant between the curves y=x^8, and y=2x^2-x^4
79. ## calculus

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

Can anyone please explain to me that how can I find the discontinuities of the following function? f(x)=[(x+1)(x+2)]/(x-3)^2 THANKS A LOT~!
81. ## Calculus

ã6(2ã6 - ã5) How do you get 12-ã30? I keep getting a way different answer:\ Btw not sure if the radicals will show up.
82. ## calculus.can you help me on these as well@sir collins

integrate sin^7xdx
83. ## Calculus

Given f(x)=1+2cos x , find the area under the curve y=f(x) between x = pi/2 and 2pi/3.

Find f(x) satisfying the given conditions: 1) f"(x) = 1/x^3 f'(1) = 1/2 f(1) = 0 2) f"'(x) = sin (x) f"(0) = 0 f'(0) = 1 f(0) = 0
85. ## Calculus

Find an equation of the tangent line to the curve for the given value of t. x=t^2-2t, y=t^2+2t when t=1
86. ## calculus

If we know that for a function, f(x), that f(2) = 6 and f(5) = 1, what is the average rate of change of f(x) on the interval [2,5]?
87. ## Calculus

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

Show that the limit as h approaches 0 of (e^h-1 ) all over h = ln e = 1 using at least two numerical examples.
89. ## Calculus

What are two conditions that must be met before the Extreme Value Theorem may be applied?
90. ## Calculus

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

Find f'(x): f(x)=3(2x^25x+1) I am not sure if the 5x is multiplied to the 2x^2 (I got f'(x)=90x^2) or there is a typo.
92. ## Calculus

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

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

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

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

lim X--> 0 from the left (9/x - 9/|x|) Find the limit if it exists
97. ## Calculus

For what values of the constants a and b is (1,3) a point of inflection of the curve y=ax^3+bx^2?
98. ## Calculus

Find the limit: as x approaches 0 lim((5/x)-(5/sin(x))
99. ## Calculus I'm really confused

solve the differential equation dy/dx=y^2/x^3 for y=f(x) with condition y(1)=1.
100. ## calculus

Evaluate the integral S x/(sqrt(3x-1))dx Use U-Substitution method.