# Pre- Calculus

21,824 results, page 86

1. ### Calculus

Which value of k will make the plane r=(k,3k,12) +s(2,2,3)+t(-1,1,3), s,teR passing through the origin? a) 2 b) 1 c)0 d) -1
2. ### Calculus I

Section is Integration by substitution: evaluate the indicated integral. tan 2x dx
3. ### Calculus I

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

5. ### Calculus

INT 1/sqrt e (the constant) dy from 1 to infinity. Determine if it is convergent or divergent
6. ### Calculus

Find the area of the region enclosed by the given curves: y=e^6x, y=2sin(x), x=0, x=pi/2
7. ### calculus

evaluate the limit using change of variable x--> 27 27-x _________ x^1/3 -3 (answer is 1/12)
8. ### calculus

rewrite the expression in terms of the first power of the cosine. sin^8x
9. ### 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)
10. ### ap calculus

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

Determine an equation for the line parallel to 2x + 6y + 4z = 1 and contains the point P(3, 2, 1).

Determine an equation for the line parallel to 2x + 6y + 4z = 1 and contains the point P(3, 2, 1).
13. ### Calculus

Explain why a line in three-space cannot be represented by a scalar equation.
14. ### Calculus

Determine if the planes in each pair are parallel and distinct or coincident. a) 5x - 2y + 4z = 7 5x - 2y + 4z = -3 b) 7x - 3y - z = 9 21x - 9y - 3z = 27
15. ### Calculus

Explain why a line in three-space cannot be represented by a scalar equation.
16. ### calculus

Find the exact values of x if 0<=x<=pi and 2sin^2(x)-sinx-2sinxcosx+cosx=0
17. ### English

He must like studying calculus. Whats the noun function?
18. ### Calculus

3. Determine that the vectors u=[t, 4, 2t+1] and v=[t+2, 1-t, -1] are perpendicular, find the possible values of the contant, t.
19. ### Calculus

3. Determine that the vectors u=[t, 4, 2t+1] and v=[t+2, 1-t, -1] are perpendicular, find the possible values of the contant, t.
20. ### Calculus First Derivatives

If f(2) = 2.5 and f'(2) = -2.5, then f(2.5) is approximately... I have no idea how to do this without an equation.
21. ### Calculus 1

Find constants a and b in the equation f(x)= ax^b/(ln(x)) such that f(1/3)= 1 and the function has a local minimum at x= 1/3

23. ### Calculus

Determine the equation of the tangent line to the curve y = 2x²-1 at the point where x = -2

determine the coordinates of two points on the plane with equation 5x + 4y - 3z = 6

find the angle between these lines [x,y,z] = [3,4,1] + s[-1,5,-2] [x,y,z] = [8,5,-9] + t[2,3,-6]
26. ### Calculus

Find the derivative of the function y defined implicitly in terms of x. y = √(xy+ 9)
27. ### Calculus

find the volume generated when the ellipse x^2/9 + y^2 = 1 is rotated around the line y=5
28. ### calculus

Hey I am working on differentiation/quotient rule for this problem...can someone help me? x^2-3/x-2.
29. ### 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!
30. ### calculus

solve the differential equations subject to the given conditions. dy/dx= 4x^1/2 y=21 of x=4 is this derivative?!
31. ### Calculus 1 Integration Trig Inverse

integral of (4/(x times the square root of (x^2-1)) + (1+x+x^3)/(1+x^2)dx
32. ### Calculus AP

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

Solve lim x->7+ as....sqrt(x-7)^3/(x-7). I found that it equals 0, but I don't know if I did everything right.
34. ### physics

what is the displacement of the ball? i.imgur. com/8ljWh . png i don't know calculus!
35. ### Calculus

find the area between the two curves y=1/2x and y=x square root of 1-x^2
36. ### Calculus

Find the value of c where the line l tangent to the graph of y=2.5*5^x at (0,2.5) intersects the x-axis
37. ### Calculus

Find the value of c where the line l tangent to the graph of y=2.5*5^x at (0,2.5) intersects the x-axis

find derivative of: f(x)=e^2 I know that b/c e is a constant the answer is 0, but how do I show that in my work?
39. ### Calculus

Find dy/dx using implicit differentiation of xy + sin^2y=10350. Is it -y/(x+2siny)
40. ### Calculus

Find the critical points of f(x)=x^4e^-x. You would use the product rule. Then what?
41. ### Calculus

Suppose f and g are inverses, and (1,5) is a point on the graph of f. If f'(1) = -3, what, if anything, does that tell us about g'(1).
42. ### calculus

don't understand at all... find the slope of the tangent line to the curve y=xe^x at (1,e)
43. ### calculus

Find any critical numbers of the function h(x)=sin^2(x)+cos(x) 0 < x < 2π
44. ### calculus

If x^2 + y^2 = 100 and dy/dt = 6, find dx/dt when y = 8. (Enter your answers as a comma-separated list.)
45. ### calculus

Find critical points of f, and the extrema of f on the given interval. a)f(x) = x^4-10x^2; [0,3] b)f(x) = (x/e^x); [0,2]
46. ### 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.
47. ### calculus

Find the equations of the tangents to the curve x^2+y^2=25 which pass though the point (-1,7)
48. ### calculus

Use a linear approximation (or differentials) to estimate the given number. e0.01
49. ### 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
50. ### calculus

Use the tangent line approximation to approximate the value of ln(1008)
51. ### math calculus

What value must be defined for f(4) to remove the discontinuity of this function at x = 4? f(x)= x^2-16/x-4 0 4 -4 8 -8
52. ### calculus

Which of the following is NOT a solution to cos^2 x = 3sin^2 x? 30 60 150 210 330

set up an integral to find the volume of an equilateral tetrahedron.
54. ### calculus

find the equation of line L. L is parellel to y=4x show work pleaase..
55. ### calculus

use differentials to approximate the value of the expression: square root of 64.07
56. ### Math (Calculus)

Determine the arc length of the following on the specified interval: y=1/2x^3/2 , x=0, x=4
57. ### Calculus

Given f(x)=x+sqrt(x) calculate the tangent line at the point (9,12) y=___?__(x-9)+12
58. ### Math

How could I find the volume of a bowling pin using geometry and or calculus?
59. ### Calculus

Find the area of the region bound by f(y) = 9y - y^2 and the y-axis over the interval 3 <= y <= 6.
60. ### Calculus

Find the integral of x times the square root of (400-100x^2)dx
61. ### Calculus

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

Find the x-value of the relative minima of the function: 2x^(2)+((256)/(x))+8
63. ### Calculus

For what values of x does the graph of F9x) = 2x^3 - 3x^2 + 12x + 87 have a horizontal tangent?
64. ### Applied Calculus

Find the third derivative of the function: g(t)=square root of 7t+5
65. ### Applied Calculus

Find the third derivative of the function: g(t)=square root of 7t+5
66. ### Calculus

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

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

Integrate using the simplest method possible: ∫(2t-3) ln⁡ t dt
69. ### calculus

Given ƒ(x) = 2x^2 - 3x - 1 find the slope and equation of the tangent line to ƒ at the point (1, -2)
70. ### calculus

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

find the 6th degree Taylor polynomial for f(x)=cosx centered at pi/2
72. ### Calculus

Find the volume using the shell method - about the x-axis x=y^2/3
73. ### calculus

Find the length of the curve over the given interval: x=t+1 y=ln cos(t) for t=0 ---> t=pi/4
74. ### calculus

Find the length of the curve over the given interval: x=t+1 y=ln cos(t) for t=0 ---> t=pi/4
75. ### calculus

Find the center (h,k) and radius r of the circle with the given equation. 4(x+4)^2 + 4(y-6)^2 = 324
76. ### Calculus

Find the anti derivative of (u^-2(1-u^2+u^4)du. Need steps so I can try to grasp this. Thanks
77. ### Calculus

Find f(x) so that it satisfies: f'(x)=1+e^x+1/x and f(1) =3+e. Please show all steps so I can follow. Thanks.
78. ### Calculus

∫3 at top and 2 at bottom x/x^2+1 dx = ? if you could show steps that would be great thanks
79. ### Calculus

Use the Evaluation Theorem to find the exact value of the integral ç 7 1 1/5x(dx)
80. ### Calculus

Find the exact area below the curve y=x^3(4-x)and above the x-axis
81. ### Calculus

Find the derivative of f(x)=ln(e^(2x)/((x^2-4)^3) Please show detail so I can use for reference. Thanks!
82. ### Calculus

Find the area of the region. f(x) = x^3 g(x) = x^4 In the graph f is above g and they both intersect at (1,1)
83. ### calculus

39x + 75y over the square root of 97 =650 how do I solve this?
84. ### Calculus - HELP plz!

Find all of the first partial derivatives of f(x,y,z)=arctan y/xz
85. ### CALCULUS

Find the gradient and directional derivative of f at P in the direction of v: f(x,y)=ln(x^2 + y^2 +1)+ e^(2xy) P(0,2) v=5i-12j
86. ### Calculus

Let f(x,y)=sqrt(1-x^2) and R be the triangular region with corners (0,0), (1,0), and (1,1). Evaluate the double integral(R) f(x,y)dA.
87. ### Calculus

Find an equation for the tangent line of the function f(x)=6+10xe^x at the point (0,6).
88. ### Calculus

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

Find the equation of the tangent line to the curve y=2tan(x) at the point (pi/4,2).
90. ### Calculus-HELP PLZ !!!!

Find the complete general solution to the second order DE: 4y'' - 9y = 0
91. ### Calculus-HELP PLZ !!!!

Find the complete general solution to the 2nd ODE: 9y'' + 9y' - 4y = 0
92. ### calculus

Evaluate ∬(x^2+y^2)^2/(x^2y^2) dx dy over the region common to the circles x^2+y^2=7x and x^2+y^2=11y.
93. ### Calculus

Find the domain, range, and inverse of the function f(x)=arcsin(sqrt(x))
94. ### Calculus

Find the equation of the tangent line to the curve x^(3)+3xy+y^(3)=1 at the point (1,0).
95. ### Calculus

Find the derivative of y=[6(x^3/2)]/x thankyouu! i got 9sqrtx but i don't think that's right!
96. ### Calculus

The region bounded by y=-x^2+14-45 and y=0 is rotated about the y-axis, find the volume.
97. ### Calculus

Find the slope of the tangent line to the curve (a lemniscate) 2(x^2+y^2)^2 = 25(x^2-y^2) at point (-3,-1).
98. ### Calculus

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

Solve the following initial value problem: dr/dt=7cos(pi(t)), r(1/4)=14 r(t)=?
100. ### calculus

Find a function f from R to R such that f is continuous at only one point?