# Pre- Calculus

21,824 results, page 94

1. ### calculus

Prove that the sum of the vectors from the vertices to the centre of a regular octogon is a zero vector.
2. ### 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
3. ### calculus

Find the volume of the solid formed by rotating the region enclosed by y=e^(1x+2), y=0 ,x=0 , x=0.7 about the x-axis.
4. ### calculus

Find the volume of the solid formed by rotating the region enclosed by y=e^(1x+2), y=0 ,x=0 , x=0.7 about the x-axis.
5. ### Calculus

Find the volume of the solid formed by rotating the region enclosed by y=e^(5x)+(3), y=0, x=0, x=0.8 about the x-axis.
6. ### Calculus

Find those values of x at which the tangent line is horizontal to the curve y=xsqrt2-2cosx
7. ### calculus

Calculate the volume of the body which is obtained by rotating the curve y = ex 2px, 0  x  1 about the x-axis.
8. ### 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)
9. ### 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?
10. ### Calculus

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

Given the function g(x)= (3x) / (2+5x^2 ) find its region of increase and decrease. Give open intervals.
12. ### calculus

Find the volume of the solid obtained by revolving the graph of y=7x*(4-x^2)^(1/2) over [0,2] about the y-axis
13. ### calculus II

Find the length of the entire perimeter of the region inside r = 11 sin (theta) but outside r = 2
14. ### calculus

given h(x) =kx+1, X<1 (k is constant) X^2, x > and equal to 1 A) find value of k such that h(x) is continous at x=1 B) determine if h(x) is differentiable at x=1
15. ### ap calculus bc

Hi! Thank you very much! My question is: how do you find the antiderivative of 1 / (square root[1-(x^2)]) aka antideriv( [1/(x^2)] ^ -1) THank you!!
16. ### Calculus

Using L'Hopital's Rule, find the limit: lim x->0+ (as x approaches 0 from the right) of sinx/x^(1/3)
17. ### Calculus B

The Antiderivative of: (2x+3)/((x^3)+3x) This one is devinately integration by partial fractions but im not sure what i am doing wrong. PLEASE HELP.
18. ### Calculus

Use Newton's Method with the function f(x)=x^2-2 and initial value Xo=2 to calculate x1,x2,x3. I have no idea how to do this
19. ### calculus

Following sequence is given. A_(n+1)=sqrt(b*a_n+c) a_1=a a,b,c>0 How do you prove it is bounded and convergent?
20. ### calculus

Following sequence is given. A_(n+1)=sqrt(b*a_n+c) a_1=a a,b,c>0 How do you prove it is bounded and convergent?
21. ### ap calculus

A particle moves along a straight line with displacement s(t), velocity v(t), and acceleration a(t). Show that a(t) = v(t) dv/ds.
22. ### Calculus 1

Find the most general antiderivative of the function. Use C for any needed constant. f(u) = (u^4 + 7 sqrt(u)) / u^2 F(u) =
23. ### calculus

Find the differential dy of the given function: y=xcosx would this just be dy=(cosx-xsinx)dx
24. ### Calculus

Find the x-coordinates of all points on the graph of y = x^3 - 4x^2 + 5x at which the tangent line is parallel to 2y - 10x - 7 = 0
25. ### Calculus

Find the particular solution of the differential equation y'=(5x+21y)/7x satisfying the initial condition y(1)=5.
26. ### calculus

A particel is moving with the given data. Find the position of the particle. v(t)= sin t - cos t , s(0)= 0
27. ### Calculus Help

Find the area of the region enclosed by the hyperbola x^2/a^2-y^2/b^2=1 and the vertical line through a focus
28. ### Calculus

(1 pt) Find the unique solution to the differential equation y"?5y'+6y=?312sin(2t) satisfying the initial conditions y(0)=?31 and y'(0)=?18
29. ### Calculus

Find the unique solution to the differential equation y"?1y'?6y=?24(t^2)+10t+41 satisfying the initial conditions y(0)=?6 and y'(0)=?26
30. ### calculus

Determine whether the sequence is arithmetic. If so, find the common difference. (Assume that n begins with 1.)a n=2(1/5)n
31. ### Calculus

Find the volume of the solid formed by rotating the region enclosed by x=0, \ x=1, \ y=0, \ y= 8 +x^{2} about the x-axis.
32. ### a.p. calculus

find y' of the functuion in terms of appropriate variable. simplify as far as possible. y= 1+5^x^2-4tan(3x)
33. ### calculus

(a) Find the critical points of f(x) = x^(1/3)-x^(1/5) (b) Determine the maximum and minimum values of f on the interval [0; 2] and where they occur.
34. ### calculus ap

If g is a differentiable function such that g(x) is less than 0 for all real numbers x and if f'(x)=(x2-4)g(x), which of the following is true?
35. ### Calculus

Find the intercept, relative extrema, point of inflection, and asymptotes of the function(if they exist)of: y = (x^2 + 1)/(x^2 - 9)
36. ### Calculus

Find the intercept, relative extrema, point of inflection, and asymptotes of the function(if they exist)of: y = (x^3)/(x^2 - 4)
37. ### Calculus

Find the intercept, relative extrema, point of inflection, and asymptotes of the function(if they exist)of: y= 3[(x-1)^(2/3)] - [(x-1)^2]
38. ### calculus

g(t)=2+cos t; [0,pi] Can you help me find the average rate of change of the function over the given interval?
39. ### Calculus

Find the integral of x/ (x^4+x^2+1) from 2 to 3. I was going to integrate using the method for partial fractions but I can't factor x^4+x^2+1.
40. ### Calculus

Find the volume of the solid formed by rotating the region enclosed by x=0, x=1, y=0, y=5+x^6 about the x-axis.
41. ### Calculus

Consider the function y=7+5cos(8x) What is the amplitude? What is the period? What is the largest value the graph takes?
42. ### Calculus

Ba has a half-life of 283.2 hours. How long would it take for the 50 mg of Ba in a sample to decay to 1.0 mg?
43. ### Calculus

find lim (2x+1+cos2x/22) x->0 Give one sequence starting at x=0.1 to support your claim.
44. ### Calculus

Let f(x) = mx-12 if x is less than -5 = x^2 +5x -7 if x is greater than or equal to -5. If f(x) is a function which is continuous everywhere, then we must have m=_______

For the function f(x) = 1/(x2+14x-42) there are two vertical asymptotes. Determine the x-coordinate of each one
46. ### Calculus

Find the volume of the solid formed by rotating the region enclosed by y=e^(2x)+3 y=0, x=0, x=0.9 about the x-axis.
47. ### Calculus 1

Could you please explain how to find the slope using the definition of derivative of the function y=2*sqrt(x)
48. ### calculus

Find the discontinuities of the given function. Classify them as a point discontinuity or a jump discontunuity. g(x)= x, x<-3 5x/(x^2-4x), x>= -3
49. ### Calculus II

Find the volume of the solid formed by rotating the region enclosed by x=0, x=1, y=0,y= 6 +x^{8} about the y-axis.
50. ### calculus

Find an equation of the tangent line to the curve at the given point. y = 7 sec x P = (π/3, 14)
51. ### calculus

Determine the equations of two lines that pass through the point (1, -5) and are tangent to the graph of y = x^2 - 2.
52. ### calculus

find the volue of the solid that is obtained by revolving the baout the indicated axis or line y=1/2 x^2 +2 y=2 -2<x<2
53. ### Calculus (double check )

Find the centroid of the area bonded by the parabola y =4-x^2 and the x-axis? A.(0,1.6) <<<< correct? B.(0,1.7) C.(0,1.8) D.(0,1.9)
54. ### Further maths

Under differential calculus using the product rule find the derivative of (2x+3)^3(4x^2-1)^2
55. ### Further maths

Differential calculus using product rule pls with detailed explanation (2x+3)^3(4x^2-1)^2
56. ### calculus

is the answer to find an equation of the curve that passes through the point (1,1) and whose slope at (x,y) is y^2/x^3 is y=2x^2-1
57. ### calculus

sketch graph of a function f that is differentiable and that satisfies the following conditions:(1)f'(x)>0, when x<-5 (2)f'(x)<0, when -5<x<1 and when x>1 (3)f'(-5) =0and f'(1)=0 (4)f(-5)=6and f(1)=2.
58. ### Calculus II

Find the area of the region enclosed by the inner loop of the curve. r = 5 + 10sin(θ) Thanks for the help!
59. ### Calculus

Find the area of the region enclosed by one loop of the curve. r = sin(12θ)
60. ### Calculus

Find the global maximum and minimum values of f(t)=4t/(2+t^2) if its domain is all real numbers?
61. ### Calculus I

Using Newton's Method, determine the first approximation to the solution of: e^(4x)= 10-2x starting with x=0 what is x1= ??? P.S. ( the 1 is a subscript )
62. ### calculus

Find the volume of the solid obtained by rotating the region bounded by y= x^2 and x=y^2 about the x-axis.
63. ### calculus

Find the volume of the solid obtained by rotating the region bounded by y= x^3 and x= y^3 about the line x= -1.
64. ### calculus

Use an appropriate local linear approximation to estimate the value of cotangent 44 degrees.
65. ### Brief Calculus

Evaluate the integral. HINT [See Example 2 and 4.] (Remember to use ln |u| where appropriate.) (1/v7 + 5/v) dv
66. ### Calculus

Find the centroid of the region bounded by the curve sin x on the interval (0, pi) and the x-axis. Please help
67. ### calculus

given the functions f(x) = sqrt x+1 and g(x) = 6x+a in the xy coordinate plane, y= f[g(x)] passes through the point (3,5) . what is the value of a ?
68. ### calculus

I need to find the dy/dx of x^2ln(x^2)I tried to do it the way I thought, but it did not come out right.
69. ### Calculus

find the exact value of sin 11pi/12 using the sum or difference formula.
70. ### Calculus

A cost function is given by: A'(x)= 2x^2/x^2-211/x^2. For what values is A(x) increasing and decreasing? Any help would be appreciated
71. ### Calculus

Use the Law of sines to find the remaining sides. 1. a=40 degrees; Beta=87; c=115
72. ### Calculus

Decide whether to integrate with respect to x or y. Find the area of the region. y=e^2x y=e^6x x=1 I have no idea what to do
73. ### Calculus

If \$22,550 is invested at 2.95% compounded continuously, how long will it take to reach \$50,000 in the account?
74. ### single variable calculus - indefinite integrals

integral of (1-(sinx)^2))/(cosx)dx i don't know what to make my "u" for u-substitution
75. ### calculus

using tangent half substitution show that integral of sec(x)=ln(secx+tanx)
76. ### CALCULUS:)

Find the volume of the solid formed by rotating the region enclosed by x=0, x=1, y=0, y=9+x^4 about the x-axis.
77. ### Calculus :)

Find the volume of the solid formed by rotating the region enclosed by y=e^(3x)+2, y=0, x=0, x=0.4 about the x-axis.
78. ### Calculus :)

Use the substitution x=2tan(theta) to evaluate the indefinite integral 53dx/(x^2sqrt(x2+4))
79. ### Calculus

Let A be the region bounded by the curves y = x^2-6x + 8 and y = 0. Find the volume obtained when A is revolved around the Y-AXIS
80. ### Calculus

Let A be the region bounded by the curves y = x^2-6x + 8 and y = 0. Find the volume obtained when A is revolved around the Y-AXIS
81. ### calculus

the distance between (9,2) and (x,7) is 10 units, I've worked it out till I got to , 10= sqrt of (x-9)^2+36 and I don't know what to do next. help?
82. ### calculus

ind an equation of the tangent line to the curve at the given point. y = sin 6x + sin2 6x, (0, 0)
83. ### Calculus

Solve for x. Don't do the work using algebra and don't use a calculator. The Laws of Logarithms will be helpful. ln(x^2 - 1)= 3
84. ### calculus

y sin 12x = x cos 2y, (pi/2, pi/4) Find the tangent line to the curve at the given point. y=???
85. ### calculus

Find any critical numbers of the function. (Enter your answers as a comma-separated list.) g(t) = 3t ln t
86. ### Calculus

Find the equation of the tangent to the curve x^2+y^2=25 at (-3,4). I'm really confused on how to get the answer, someone please help
87. ### Calculus

Use implicit differentiation to find the slope of the tangent line to the curve 2(x^2) + 2xy + 2(y^3)= -18
88. ### Calculus

(y/(x+9y))= (x^2)-7 at the point (1, -6/55) Use implicit differentiation to find the slope of the tangent line to the curve
89. ### calculus

Find the derivative of the function. HINT [See Quick Examples on page 835.] f(x) = 9x ln x
90. ### Calculus 1

Use Newton's method to approximate the root of the equation x^3+x+2=0 with initial guess x1=-1 gives:
91. ### Math - Calculus III

Find the double integral of f (x, y) = (x^7)y over the region between the curves y = x^2 and y = x(3 - x).
92. ### calculus

Find the volume of the solid generated by revolving about line x = -4 the region bounded by x = y - y^2 and x = y^2 - 3
93. ### calculus

the lemniscate revolves about a tangent at the pole find sufaces of the solid generated?
94. ### Math(module 4 Calculus)

(graphing calclator)give a four decimal approximation for the number 10^4C(25,5)/7!P(30,4)
95. ### Calculus

Revolve the region bounded by y=x and y=x^2 about the y axis. In cubic units, the resulting volume is?
96. ### calculus(differentian)

x=(6-2y²)/(1+y) differentiate with respect to y I saw this in a question here but..I don't get how the person go that answer.
97. ### calculus

The base of a solid V is the region bounded by y=(x^2/64) and y=sq(x/8) Find the volume if V has square cross sections
98. ### Calculus 1

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

Find the volume of the solid generated by revolving the region delimited by 5x+5y=40, y=0, and x=0 about the x-axis.
100. ### calculus

Evaluate the following integrals by using appropriate method : ∫cos⁡ ^3 ( 2x-5 )dx help