# Pre- Calculus

21,892 results, page 75
1. ## Calculus

Find the area bounded by the y-axis and x = 4-y^2/3
2. ## calculus

how would i find the deriviative of y= x^ (- square root of 2)
3. ## calculus

solve the following differential equation: y' + (y)tanh(x) - 2e^x = 0

f(x)=(x^2+2x+3)^4, find f'(x). what rule do we use and can some please show me the steps
5. ## calculus

Find the centroid (¯ x, ¯ y) of the region bounded by: y = 6x^2+7x, y = 0, x = 0, and x = 7
6. ## Calculus

lim x->9 1 1 - - - 3 square root of x ___________________________ x-9
7. ## Calculus - Partial Fractions

I've set a problem up, something like this. s^4: A+D=0 s^3: -2A+B-3D+E=0 s^2: 2A-B+C+3D-3E=0 s^1: -2A+B-D+3E=4 s^0: A+C-E=4
8. ## Calculus

Find the coefficient of the x^2 term in the expansion of (3x - (2/x^2))^8
9. ## Calculus (related rates)

Find dy/dt where y = 2 sqrt(x)-4 and dx/dt = 9 when x = 4.
10. ## Calculus (related rates)

Find dy/dt when y = 2x2 + 2x + 4 and dx/dt = 14 when x = 7.
11. ## calculus

Find the derivative of the function. y = cos^4(¹t - 8)
12. ## Calculus

The linear approximation at x = 0 to sin (5 x) is A + B x. Find A and B?
13. ## calculus

find the arc length from (x1,y2) to (x2,y2) on the graph F(x)=mx+b
14. ## Calculus

y=x^2-11x+30 For what values of x is y greater than or equal to 0?
15. ## calculus

Lim= x-Infinite x+0/(x2+1)=? please show work
16. ## calculus

If 5x^2+3x+xy=2 andy=-12, find y'(2) by implicit differentiation.
17. ## calculus

Please help. I need ( with details) how to differentiate with the chain rule f(x)=(x^2-6x+23)^3/2. I need to
18. ## Calculus 1

Find dy/dx by implicit differentiation. X^2 + y^2 = tan(xy)
19. ## Calculus

Find the area bounded by the indicated curves. y=x^2, y=0, x=2
20. ## calculus

find the point on the line 6x+7y-5=0 closest to (2,2)
21. ## calculus

Evaluate π ∫ tan² x/3 dx 0
22. ## calculus help

integrate:dx/(3x^3-5)^3 help plz show step
23. ## calculus

Find the anti-derivative of x^4... Isn't it 4x^3+c? Please help... Thanks!
24. ## calculus

For a function f, let f*(x)=lim (f(x+h)-f(x-h))/h h->0 Determine f*(x) for f(x)=cos(x)
25. ## calculus

lim (x->0.5 from the left)((2x-1)/|(2x^3-x^2)| = -4 I would have thought positive four. How can this be?
26. ## calculus

find maclaurin series. f(x)=tanx
27. ## calculus

find maclaurin series. f(x)=log^a(1+x)
28. ## calculus

limit of sin x / 2x squared - x as x approaches 0
29. ## calculus

U-Substitution 1. 3x(sin^2((3x^2)+1)cos((3x^2)+1)dx 2. (x^3)(sqrt((3x^2)+1)) dx u = ((3x^2)+1) then?
30. ## Calculus

Evaluate the integral from 2/sqrt2 to 4; 1/(t^3 sqrt(t^2-4))?
31. ## calculus

f(x)= {kx-3 if x is less than or = to 1 {x^2+k if x is greater than 1 find k such that lim f(x) (x to 1) exists

33. ## Math

Find dx/dy by implicit differentiation x^2y+y^2x P.S: It's calculus
34. ## calculus

how can I calculate this deriivative: 1/(sin(x-sinx))?
35. ## calculus

find the value of the derivative (if it exist) at the indicated extrema. 1. f(x)=x^2/(x^2+4) at (0,0) 2. f(x)=(x+2)^(2/3) at (-2,0)
36. ## calculus

solve (12/t)+t-8=0 (solving rational equations)
37. ## calculus

If y varies inversely as the square of x, and y=0.5 when x=1, find y when x=9
38. ## Calculus III

(24cos(8x))/(1+(sin^2(8x))) Integrated from (pi/16,-pi/16
39. ## Calculus

What is the least positive integer that has exactly thirteen factors?
40. ## calculus

I am having a problem with solving this Given the function f described by f(x)=x+3, find each of the following: f(0) f(-13) f(-12) f(1) f(4+8) can you help me please?
41. ## calculus

find the derivative of f(x)=cot(3x)csc^2(3x)
42. ## calculus

Assume that f is an integrable function satisfying the following for all b > 0
43. ## Calculus

Find f(x)' of f(x)=x^x^x I logged both sides to get ln y = x^x ln x But I am not sure what step to do after that.
44. ## Calculus BC

s(t)=t^3 - 5/2 t^2 - 2t + 1 for all t>=0, 1. what was the displacement on 0<= t <= 4 2. at t =.5 is the function slowing down or speeding up?
45. ## Calculus

find the point on the plane 5x+4y+z=12 that is nearest to (2,0,1)
46. ## Calculus

Please help me find the limit: lim x--> 2 ((1/3)-1/sqrt(x))/)x-9)
47. ## Math/calculus

Graph f (x) = 3cos (4pix -pi/2) -2
48. ## Calculus

What is the first derivative of the following function: f(x) = a^(-bx)? (I am lost with this question)
49. ## Calculus

same as my question below please help me post your answer on here if you have one on these forms of course h t t p : / / w w w . p h y s i c s f o r u m s . c o m / s h o w t h r e a d . p h p ? t = 4 2 1 7 6 3

h(x)=∫[-3,sin(x)] (cos(t^3)+t) dt
51. ## calculus

find the sum ∑(n/(n+1)!) from n=1 to infinity
52. ## Calculus

I need help with integrals and I need help with the problem. Integral of 4/sqrt(x)dx
53. ## calculus help me

help find dy/dx if y=cot(x+y) working plz
54. ## calculus

Find the exact length of the curve. x=(y^4)/8+1/(4y^2), 1 ≤ y ≤ 2.
55. ## calculus

evaluate the definite integr 2 ∫ 5/(3+2x) dx 0
56. ## calculus

evaluate the definite integr 2 ∫ (x+1/x)² dx 1
57. ## calculus

Find the limit lim x ->0 (sin^2 2x)/(x^2)
58. ## Calculus

Sketch the region in the first quadrant enclosed by y=8/x,y=4x and y=1/4x
59. ## Calculus

Find the limit: lim x-> 2 ln(x/2)/ (x^2−4) Can someone help me with this?
60. ## Calculus

The total area enclosed by the graphs of y=6(x^2)–(x^3)+x and y=(x^2)+7x is ..
61. ## Calculus

find the area of the region. 2y=4sqrtx , y=3 and 2y+2x=6 ?
62. ## Calculus

Find the volume bounded above by parabolic z = 6 - x^2 - y^2 and below by z= 2x^2 + y^2
63. ## calculus

use antidifferentiation.... and find (1/the square root of 2x)dx
64. ## Calculus

What is the limit as t approaches 0 for (sint)/(1+cost)?
65. ## AP Calculus

Determine dy/dx if xsiny=artany i did (x)(cosy dy/dx) so far
66. ## Calculus B

Find lim as x goes to 0 of (xsinx)/(1-cosx)
67. ## calculus

how do you differentiate problems where the x and y are to the power of a fraction?
68. ## Calculus

Determine the equation of the tangent to f(x)= (1/x)+x at the point (1,2)
69. ## Calculus

solve second-order initial value problem y"(x)= x e^-2x y'(0)= 0 y(0)= 0
70. ## Another Calculus help plz

Show that if y=tanx/2 dy/dx=1/sinx
71. ## calculus

Find the equation of the curve for which y''=6x-4 and which passes through (1,2) and (-2,5). thank you :-)
72. ## Calculus

The value of y changes by 3 units when x changes by 0.1 unit. About how fast is y changing?

Let f(x) = x^3 - x^2 + x - 1. Find an equation for tangent line to f at x = 2.
74. ## calculus

sum (n*2^n)/(2^n +3^n) [n to infinity] conv or div ? and how to get that? thank you!
75. ## calculus

integrate 3/25+4x^3....use 2x=5tanΦ as a substitution
76. ## Calculus

Find the area bounded by the y-axis and x = 4-y^2/3 Thanks!
77. ## calculus

Deternime the instantaneous rate of change at x=2 for: y=x-2x^3
78. ## calculus

Evaluate. int_(pi)^(pi) (sin(x))^(3) (cos(x))^(3) dx
79. ## calculus

dt/dx= ((x^2+a^2)^(1/2))/v1+((b^2+d^2)^(1/2))/v1 the function dt/dx has a zero at a unique x on (0,d). Use this to justify your discovery that d= (x^2+a^2)^(1/2) + (b^2+d^2)^(1/2)
80. ## Calculus

Solve the initial value problem. dy/dx = 3 sinx and y = 2 when x = 0. Is this c = 5?
81. ## Calculus

If f is the function defined by f(x)=(x^2+4x)^(1/3) and g is an antiderivative of f such that g(5)=7, then g(1) Is congruent to
82. ## Calculus

The length of the graph of f(x) = 2/3x^(3/2) over [0,p] equals 52/3. Find p. I think p is about 8.09.
83. ## Calculus

If f(x)=5x^3–2/x^4 find f'(x) I don't understand what I did wrong for this ((x^4)(4x+7)-(4x^3)(5x^3-2))/(x^4)^2
84. ## Calculus

Find the inflection point(s), if any, of the function. g(x)= 4x(^3)-4x
85. ## Calculus

can someone please prove the difference rule to me? d/dx[f(x)-g(x)]=d/dx f(x)- d/dx g(x) plz help
86. ## calculus

use logarithmic differentiation to find dy/dx for: [(x^2)(e^2)(x)] / [3√(2x-5)]
87. ## Calculus

What is the limit as t approaches 0 for (sint)/(1+cost)?

Let f(x) = x^3 - x^2 + x - 1. Find an equation for tangent line to f at x = 2.
89. ## Chemistry

Okay, the question my teacher asked for one of our pre-labs went as followed: For each reaction, select one compound that reacts rapidly and give a structural equation for the process. Silver nitrate in ethanol I'm confused on how to do this. Also From my
90. ## Pre- Algebra

6.)Which of the following types of information is NOT suited for display on a scatter plot? A.) relationship between age and number of books read in a year B.) relationship between height and shoe size C.)relationship between calories consumed and body
91. ## Philosophy

My text explains the answer to this question, however I do not understand the answer. Instead of posting the entire text I was wondering if anyone could explain this to me in Laymans terms. Thanks. How did financial considerations and the international
92. ## Chemistry

a)The Young's modulus for a material is 5.0*10^10 N/m2. The material is stretched to a strain of 4.0*10^-3. How much elastic energy will be expended? (Express your answer in J/m3) Knowing that the energy associated with the formation of 1 mole of vacancies
93. ## Pre-Calc

Show that cos(pi - θ) = -cos θ for every angle θ
94. ## pre-cal

for the given functions f & g find the specified value of the following functions and state the domain of each one. f(x)=2+6/x; (g)x 6/x a. (f-g)(3)= what is the domain of f-g? b. (f/g)(6)= what si the domain of f/g?
95. ## Pre-Algebra

in- 0 1 2 3 4 X out- 1 4 10 0's output is 1 and 1's output is 4, then 3's output is 10....wat is the rule to this??? and wat are the outputs for 2, and 4?
96. ## Pre-Algebra

in- 0 1 2 3 4 X out- 1 4 10 0's output is 1 and 1's output is 4, then 3's output is 10....wat is the rule to this??? and wat are the outputs for 2, and 4?
97. ## Pre cal

find all zeros of x^4-5x^3+10^2-20x+24 (leave all irrational answers in radical form) i simply don't understand this question, i can find the rational value but never can i calculate how to find the irrational values nor the imaginary number values. what
98. ## Pre-Cal/Trig

Explain how to solve the following question. Surveying: From a point A hat is 10 meters above level ground, the angle of elevation of the top of a building is 42 degrees and the angle of depression of the base of the building is 8 degrees. Approximate the
99. ## pre algebra

A 0.25 kg mass is horizontally attached to a spring with a stiffness 4 N/m. The damping constant b for the system is 1 N-sec/m. If the mass is displaced 0.5 m to the left and given an initial velocity of 1 m/sec to the left, find the equation of motion.
100. ## pre calc

The population of a Midwestern city decays exponentially. If the population decreased from 900,000 to 800,000 from 2003 to 2005, what will be the population in 2008? Please help I got 670,422 and the computer marked it wrong i then tried rounding it to