Pre- Calculus

21,824 results, page 84

1. calculus

Which of the following is the same as 4 ln2x? a) ln8x B)8lnx c)ln8 + lnx d)ln 16^4
2. calculus

find the domain and range of the function g(x)= 10+2x-x^2 (all under radical)
3. calculus

n(x)=x^5+xe^x, find the real zeroes using newton-raphson methodology.
4. Differential Calculus

Given that p=(2q^2 - 5)^2. when q=3, it is increased by 0.7%. find the appropriate percentage change in p.
5. Differential calculus

Given that y=x^3/3-2x^2+3x+2 find its turning points and state their nature
6. Calculus

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

can someone help me determine that limit for the following function, as x --> -2? 2 - abs(x) / 2 + x
8. calculus - identities

prove this identity: sec(y) - cos(y)= tan(y)sin(y) THANK YOU!!
9. Calculus

Use Mean Value Theorem and find all numbers c in (a,b) 1.x+(4/x) [1,4] Help me!
10. Calculus

What is the area of the largest rectangle that can be placed in a 5-12-13 right triangle (as shown)?
11. Calculus

f(x) = [3/x^2] - [5/x^7], F(x) is the antiderivative of f(x) with F(1)=0. F(x) = ? I have no idea how to approach this problem. The fractions are scaring me.
12. calculus

integrate x*(x+1)^9dx I believe the substitution method is the proper way?
13. Calculus

Find the concavity and min and max for f(x) = x*sqrt(x^2+36) defined on the interval [-4, 7]?
14. calculus

find the general solution x^2-2(e^y)dy/dx = y^3+e(x^2) i am getting the y^3 dx when i do seperation of variables how do i deal with this.
15. calculus

find the general solution x^2-2(e^y)dy/dx = y^3+e(x^2) i am getting the y^3 dx when i do seperation of variables how do i deal with this.
16. AP Calculus

Locate the absolute extrema of the function f(x)=2x^2-12x+4 on the closed interval [-6,6].
17. 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?
18. Math-Calculus

Posted question rewritten lim x-> -1 108(x^2+2x)(x+1)^3 ____________________ (x^3+1)^3 (x-1)
19. calculus ||

use a grapher to fine the length numerically (x)=2sin (y) ,pi/3 < y< 2pi/3
20. calculus

Use the Table of Integrals to evaluate the integral (x sine(6x^2)cos(7x^2)dx)
21. calculus

find the derevative (hint try to use limits) (x^2010 - 1 )\(x -1 )
22. calculus

Find an equation of the tangent line to the curve at the given point. y= (9x)/(x+1)^2 P = (0,0)
23. calculus

Describe all of the different ways a function may not be differentiable at the point P (a,f(a)).
24. Calculus

Find the number c that satisfies the conclusion of the Mean Value Theorem. f(x) = x/(x + 4) [1, 8]
25. Calculus

Find the scalar and vector projections of b onto a. a = 2i - j + 6k, b = j + (1/2)k compab = projab =
26. Calculus

show the following linearization of the function f(x)=cos(3x)-3sin(3x) at x=2pi
27. Calculus

Solve for x: Lnx= -5 I am stuck on this simple qusetion, i know the answer is .01, but I donr't know how to get it. Thanks!
28. calculus

Estimate approximately the slope of the tangent of y=2sinx+cosx at the point x=4,2
29. vector calculus

find an equation for the plane that contains the line x = 2t-8, y=3t +3, z= 5- t, and the point (5,4,0)
30. calculus

What is the volume obtained by rotating the graph y=x^2 for 0<y<1 about the oblique axis y=x
31. calculus

find the area of the regions enclosed by the lines and curves. x+y^2=0 and x+3y^2=2 i know the answer is 8/3, but i don't know how to get it.
32. Calculus II

How do you integrate the function -- > sinx (4^cosx) from 0 to pi/2 I did "u-substitution" to make it the integral from 1 to 0 of 4^u but then i don 't know where to go from there! Thank you
33. calculus

to the nearest metre x=24m and y=6m. Calculate the upper bound for the value of xy
34. Calculus

How do I find the integration of √(cot) / sin^2(x) by using substitution?
35. Calculus

Resolve u=[3,4,7] into two orthogonal vectors, one of which is collinear with v=[1,2,3].
36. Calculus

Resolve u=[3,4,7] into two orthogonal vectors, one of which is collinear with v=[1,2,3].
37. Calculus

Resolve the vector v=[7,9] into rectangular components, one of which is in the direction of u=[6,2].
38. Calculus

Write a scalar equation of each plane, given its parametric equations. x = 3 - 2s + 2t y = 1 + 3s + t z = 5 - s - 2t
39. Calculus

Write this expression as a single logarithm 6ln(x+8)+1/8lnx-ln(cosx)
40. Calculus-implicit differentiation

How do I find the normals to the curve xy+ 2x - y = 0 that are parallel to the line 2x + y = 0
41. Calculus

Diffentiate the function F(x)=(1/2x)^5 My answer is 5/2x^4. The book says 5/32x^4. what am I doing wrong?
42. Calculus

Can someone help me to integrate by substitution the indefinite integral: (sinx)/ (1+cos(^2)x)?
43. calculus

addendum to previous ques. hope someone will deal with this seriously.
44. 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.
45. calculus

Solve this over the interval [0,2pi): sin(3x)=(square root of 2)/2
46. Calculus III

P=(2,1,0) Q=(1,5,2) R=(-1,13,6) Are P, Q, and R collinear? If not, find a vector normal to the plane containing them.
47. Calculus

Use the cross product to find the area of the triangle with vertices: P=(1,1,5) Q=(3,4,3) R=(1,5,7)
48. calculus

limit as x approaches negative infinity for the function (-x)/(sqr root (x^2-36))
49. calculus

Find all positive values of x that satisfy x multiplied by the x root of x^2 = x^x
50. Calculus

Show that the limit for [x^2cos(1/x)]=0 as x approaches 0. How would I solve this algebraically?
51. Hard Calculus

f(x)= xsquared -2x for y= absolute value of f(x) does the derivitive exist at x=0 and explain why.
52. calculus

if the tangent line to the function f(x)=ãx +a at x=16 has equation y=mx+6. find a and m. you may use the fact that f'(x)= 1/(2ãx)
53. calculus

consider the function f(x)=2x^2 +1. its tangent line at x=2 goes through the points (2,y1) and (-1,y2) where y1=?, y2=?
54. calculus

consider the function f(x)=2x^2 +1. its tangent line at x=2 goes through the points (2,y1) and (-1,y2) where y1=?, y2=?
55. calculus

find the derivative of the function (6x+1)/(19x+1)^1/2 PLEASE EXPLAIN IM LOST
56. calculus

Find the equations for the lines tangent to the ellipse 4x^2+y^2=72 that are perpendicular to the line x+2y+3=0
57. Calculus....

can you show me how to maniplate this using Trig subtitution... integral dx/4+x^2 x is bounded on [-2, 2]
58. Calculus

Find the equation of the tangent line to the curve (a lemniscate) 2(x^2+y^2)^2 = 25(x^2-y^2) at the point ( -3 , -1 )
59. calculus

If f(1) > 0 and f(3) < 0, then there exists a number c between 1 and 3 such that f(c) = 0. Is this true or false? Please and thank you
60. CALCULUS

Find the relative extrema of function. f(x,y)=x2+3xy+y2-10x-20y+12
61. calculus

If a store credit account charges 1.2% interest each month, what is the APR?
62. Calculus Help

Determine the point at which the graph of the function has a horizontal tangent line. f(x) = (9x^2)/(x^2+6)
63. Ap calculus

Find the equation of the tangent line to the curve g(X)= 2cos(2X)/(3X) at the point x= pi/3
64. calculus

find the absolute maximum and minimum values of f on the given interval f(x)= (x^2-4)/(x^2+4), [-4, 4]
65. Calculus

How do you find the area under the witch of agnesi? (for all radii)
66. calculus

find a non-zero value for the constant "k" so that f(x) =tan(kx)/x, if x < 0 3x + 2k^2, if x> 0 will be continuous at x=0
67. Calculus

Find the minimum distance, measured horizontally, between the graphs of y=x and y=x^3
68. Calculus

Use a linear approximation (or differentials) to estimate the given number. (32.06)^4/5
69. Calculus

Find all values of x, where the graph of y = [(5x^3)-(6x)+(8)] / (x^2) crosses its oblique asymptote.
70. Calculus

Find all values of x, where the graph of y = [(5x^3)-(6x)+(8)] / (x^2) crosses its oblique asymptote.
71. Calculus

what is Trapezoidal rule? How does it work in finding the area under the curve(s)?
72. Calculus

What are the x-coordinates of the points of inflection for the graph of f(x)sin^2x on the closed interval [0,pi]?
73. calculus

Find the area of the region under the graph of the function f on the interval [-1, 2]. f(x) = 6x + 1
74. AP Calculus

True or False If f'(c)=0=f''(c)is less than 0, the f(c) is a local maximum. Justify your answer.
75. calculus

find deriviative using definition lim x heads toward a of f(x)-f(a)/ (x-a) of x^5
76. Calculus AB

Find the equation of the line tangent to the curve at t=pi/3: a) x=t-sin(t) b) y=1-cos(t)
77. AP Calculus

A line is perpendicular to 2x+y-7=0 and passes through (4,6). Find the y coordinate of the point where x=-8
78. calculus

How many critical points are in the function: f(x)= (x+2)^5 * (x-3)^4 What is the most time-efficient way to do this?
79. calculus

A bug walks along the circle x^2 + y^2 = 4. When it is at the point (1, (3)^1/2)), dx/dt = 2. Find dy/dt at this instant.
80. calculus

A bug walks along the circle x^2 + y^2 = 4. When it is at the point (1, (3)^1/2)), dx/dt = 2. Find dy/dt at this instant.
81. Calculus

What is the slope-intercept equation of the line tangent to the graph of y=8ln(x) when x=5.
82. Calculus

Use a graph to estimate: Lim x-> 0 of sin(8x)/x when x is measured in degrees.
83. Calculus

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

Solve initial value problem explicitly: 1. y'= ye^-x, y(0)=1 2. y'= 5xe^-y, y(1)=1
85. Calculus

let f(x)=x*e^x For what value of x is the slope of the line tangent to the graph of function f at [x,f(x)] equal to 1/2?
86. calculus

Find the exact area of the region bounded by the -axis and the graph of (x^3)-x
87. AP Calculus

Determine whether Rolle's Theorem is valid f(x) = 3 - |x - 2| for [-1, 5] if so, find c. if not, tell why.
88. Calculus

Mt+1= 0.75Mt+2 give the solutions of the dynamical system with Mo=5 i.e determine Mt as a function of t
89. Calculus

On what intervals is the function f(x)=x7−7x6 both decreasing and concave up?
90. Calculus

Given a power function of the form f(x)=axn, with f(3)=20 and f(9)=1620, find n and a
91. Calculus

Find the derivative of the function f by using the rules of differentiation. f(x) = 360
92. Calculus

find the volume of the solid formed by rotating the region enclosed by y=e^(1x+4), y=0, x=0, x=0.9

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 = ______
94. Calculus

Use the Product Rule to find the derivative of the function. f(x) = (x^3 − 2x)(5x^2 + 2x)
95. calculus

Find the derivate of the function f(x) = 2x2 + 23x + 5 What is the value of this derivative when x = 19
96. calculus

Find the derivate of the function f(x) = 2x2 + 23x + 5 What is the value of this derivative when x = 19
97. Calculus - Verify?

Find the slope of the tangent line to the curve (a lemniscate) 2(x^2+y^2)^2 = 25(x^2-y^2) it is at pt (3,1)
98. calculus

how do you solve the folowing question giving respect to the given variable x 2(3 x + a)-b(2-x)=3(x+1)
99. calculus

f(x)=12x/sinx+cosx find f'(-pie) anyone know the answer!!! need help!
100. Calculus

Find the area in the second quadrant bounded by the x-axis and f(x)=sqrt((x^3/8)+1)