88,703 results, page 96

1. ### Trigonometry

How do you simplify: (1/(sin^2x-cos^2x))-(2/cosx-sinx)? I tried factoring and creating a LCD of (sinx+cosx)(sinx cosx) (cosx-sinx), but cannot come up with the right answer. The answer is (1+2sinx+2cosx)/sin^2x+cos^2x,but I don't know how the book arrived at that answer. I'd ...
2. ### algebra

1)Identify the y-intercept and the axis of symemetry for the graph of f(x)=-3x^2+6x+12. answer=12:x=1 2)Determine whether f(x)=-5x^2-10x+6 has a maximum or minimum value and find that value. answer=maximum -1 3)Solve x^2=4x by graphing and indicate the roots. answer=0,4 4)...
3. ### Math

Can you please go step by step, Ill show what I did and you can correct me. The question is: a+a(x+1) My way: a+a(x+1) 2a(x+1) 2ax+2a Could someone please check over this and provide a correct answer and my error. Thanks in advance. a+a(x+1) does not equal 2a(x+1) If it was (a...
4. ### derivatives

Applications of derivatives A rectangle has its base on the x axis and its upper two vertices on the parabola y=12 - x^2. What is the largest area the rectangle can have, and what are its dimensions. Support your answer graphically. Thanks. Well, the parabola is symettric ...
5. ### English

Please check my last post as well. I typed a reply. Moreover if I were to come up with an Original and creative essay title. What should it be. For the topic Banning Cellphones while driving. 1. Who is to blame? 2. Blame the cellphone 3. I just wanted to text a friend 4. My ...
6. ### Calculus

Factor the following: y = (x-a)^5 . (x-c)^5 . (a-c)^5 It looks already factored to me
7. ### Calculus

If f(x) is a continuous function, find the constants a and b such that f(x) = { -x -3 <= x <= -2 ax^2 + b -2<x<0 b x=0
8. ### Calculus

q=(1000/p+1)^2 - 1 find q' I will be happy to critique your thinking.
9. ### calculus

integrate ((x^3/6)+(1/(2x)))*squareroot of 1+(x^4/4)+(1/4x^2)-1/2..plz help me...tnx in advance!
10. ### calculus

does anyone know the shortcut to finding the derivative of a function for example: x^3-3x^2
11. ### pre calculus

how do you tell if a function is even or odd?
12. ### Calculus

Find an equation for the tangent and normal to the curve x^2 + y^2 = 9 at x=1
13. ### Calculus Test Question!!!!!

Find the derivative if y=x^1+sqrt2
14. ### calculus

how do I find the range of a natural log like ln | x/(1+x^2) |
15. ### calculus

f(x)=(y+a)and b=the limit as y aproches 2+f=1000. I need to know what y and a equal.
16. ### CALCULUS 1

Find dL/dx set to zero. Solve for x. (27+x)/x * sqrt(64+x^2)
17. ### Calculus

Find the average value of f(t)=-2te^(-t^2) on the interval [0,3]
18. ### Calculus

Is thsi a solution of an ordered pair (4, -1) 4x = -17 - y 2x = -12 -4y I say yes ? Is this how you do it. 4(4) = -17 - -1 = 2(4) = -12 - 4(-1)
19. ### calculus

calculate the indefinite integral (cosx)/(sin^3x)
20. ### calculus

Find the sum of the series: 10 + 14 + 18 + 22 +...+138 and 6-12+24-48+96-...+1536
21. ### calculus

integrate (x+2)/((x^2+2x+4)^2) the usual partial fractions don't work???
22. ### Calculus

two complex numbers Z and W are related by the formula W=(Z+1)/(1-Z) what is W if Z=1.5i? thanks for the help!
23. ### calculus

how to you use partial fractions to compute the integral of ax/((x^2)-bx)dx?
24. ### calculus

does the series from n=1 to infinity of 1/arctan(2n) converge? I said yes but I didn't know what to
25. ### Calculus

Can someone please tell me how to derive V=4/3pi(r)^3 to get x^2+y^2=r^2?
26. ### Pre-Calculus

how do u state the period of a function? for ex. f(x)=sin((1/2)x)
27. ### calculus

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

Find the point where the tangent to the curve is horizontal. f(x) = (x^2-2x+4)/(x^2+4)
29. ### Calculus

Find the equation of the tangent to the curve y=e^x at the point where x=-1.
30. ### Calculus

What is the derivative of y = ln 3x2? a) y' = 2/x b) y' = ln 6x c) y' = 2 ln3 d) y' = e6x I think it's d.) Thanks.
31. ### Pre-Calculus

What is the Domain and Range of the function: Y=sin2x+4?
32. ### Calculus

Find the derivative of Integral from -5 to sin(x) of cos(t^3)+t
33. ### calculus

What is the domain for y=sqrt((x)/(x-1))? Can anyone please teach me how to do it? THANKS A LOT!
34. ### calculus

find the x-values at which f is not continuous. which of the discontinuities are removable? f(x)=1/(x^2+1)

36. ### Pre-Calculus

Directions: Find the 2 Functions f and g such that (f o g)(x)= h(x). 1. h(x)=(2x+1)^2
37. ### 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]?
38. ### calculus

Evaluate the following limit: lim x --> 2 sqrt(x^2 - x)/(2x - 3)
39. ### calculus

find all x,y intercepts of x+6/x-3 show work
40. ### calculus

find all intercepts x^2-4/x-1 show work
41. ### 12th AP Calculus

use implicit differentiation to find dy/dx and then d^2y/dx^2 x^2/3 + y^2/3 = 1
42. ### calculus HS

Analtical method to evaluate Lim X -> -infinite
43. ### calculus

are the deritives of sin and cos functions inverses
44. ### Calculus

Find the maximum and minimum values of f(x,y,z)=x+4y+5z on the sphere x^2+y^2+z^2=1.
45. ### Calculus

Limit as x goes to negative infinity of sqrt(x^2+3x)+x?
46. ### calculus

f(x)=x^3/(x^2-1) find the regions of concavity and inflection points
47. ### calculus

Use the Midpoint Rule to approximate the integral (5x-9x^2)dx from 6 to 15
48. ### Calculus

Solve for the function y. dy/dx = xe^y, when y(1)=0 I got as far as: e^-y dy = x dx But then how do you continue from there?
49. ### Calculus

Find the area between the two curves f(x)= ln(x+1)+2 g(x)= x^2-8x+12
50. ### CALCULUS

AN EQUATION OF THE LINE NORMAL TO THE GRAPH OF Y= SQRT[3X^2 + 2X] AT (2, 4) IS??
51. ### Calculus

I rewrote the quesion y = sqrt (4 + sin 10x)
52. ### calculus

identify and explain all the kinds of discontinuity for y = (x + 4)/(x^2 - 16)
53. ### calculus

Can someone help me with the problem? f(x)={ln 2x, 0<x<2 {2lnx, x >or= 2 The limit lim x-> 2 f(x) is?
54. ### Calculus

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

Find all the points of inflection of the function: f(x)=x^3-3x^2-x+7
56. ### calculus

solve what is the limit x->(pi/4) (1-tanx)/(sinx-cosx)
57. ### calculus help

find the integral of square root of 1+x^3 dx or sqrt(1+ x^3)dx
58. ### calculus

find the integral of square root of 1+x^3 dx or sqrt(1+ x^3)dx
59. ### calculus

v(r)= k(a-r)r^2 where k is a constant evaluate v at a. This is what I got when I solved but it is not correct. v(a)=k(a-a)a^2 v(a)=ka^2
60. ### Calculus

the length of the curve of intersection of the cylinder (4x^2) + y^2 = 4 and the plane x + y + z = 2
61. ### Calculus

Find the equation of the tangent line to the curve 2e^(xy) = x + y at (0,2)
62. ### Calculus

If the equation of the tangent line to the curve: xy^3+xy=6, (3,1) find m and b
63. ### Calculus

Consider the function f(x)=x^4 + 8sqrtx Let F(x) be the antiderivative of f(x) with F(1)=-4. Then F(x)=_____
64. ### Calculus (1st Year)

Solve the integral: S (e^-cosx)(x^2)dx
65. ### Calculus

find the equation of the tangent line to the curve when x=7. f(x)= 6-x^2
66. ### Calculus

find the equation of the tangent line to the curve when x=7. f(x)= 6-x^2
67. ### Differential calculus

Given that x=sinht and y=-cosht. find: dx/dy
68. ### Differential calculus

Given that f(x)=x, g(x)=x-1: h(x)=sqrtx-1. find f0g0h.
69. ### Differential calculus

Given that f(x)=x, g(x)=x-1: h(x)=sqrt(x-1) find f0g0h.
70. ### Calculus

Infinite series question. an=2+(0.99)^n Converge or Diverge?
71. ### calculus

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

[Implicit Differentiation] (5x-y)^4 + 2y^3 = 258 evaluate y' at the point (1,1)
73. ### Calculus

Suppose f and g are functions that are differentiable at x=1 and that f(1)= 2, f'(1)= -1, g(1)= -2, and g'(1)= 3. Find the value of h'(1). h(x)= [x f(x)] / [ x + g(x) ]
74. ### calculus

what is the limit of (1-tanx)/(sinx-cosx) as x approaches pi/4?
75. ### Calculus

Find the limit. lim (x+2)/(radical(9x^2+1)) x-->infinity
76. ### Calculus

Find the derivative of 1/8tan^(-1)(x/8) & (x/2)(sqrt(64-x^2) + 32sin^(-1)(x/8)?
77. ### Calculus

Differentiate the following function. f (x) = 7 sin(x) + 1/6 cot(x)
78. ### calculus

find the limit as x reaches infinite with the equation x^2-5/2x+1
79. ### calculus

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

write the product in standard form (1-4i)(3-2i) (squareroot-4+i)(6-5i)
81. ### Calculus

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

Find the derivative. Could you please show me the steps? y = ãx(5-ãx)
83. ### PRE CALCULUS

find the range of the following functions g(x) =x/x-2
84. ### Calculus

Evaluate the indefinite integral: x^2 / (3-4x^3)^6 I got -1/(60(4x^3-3))^5 but it's not right.
85. ### calculus

Find the indefinite integral. ∫x√(2x+1)dx
86. ### calculus

if f is a continuous function defined by f(x)={x^2+bx, 5 sin("pie"/2x) then b= ?
87. ### Calculus

Evaluate the indefinite integral. (5dx)/(xln(2x))
88. ### Math- Calculus

lim 108(x^2+2x)(x+1)^3 x-> -1 __________________ (divide) (x^3+1)^3 (x-1)
89. ### calculus

evaluate each limit, if it exists Lim as x approaches -2 (x^4 - 16) / (x+2)
90. ### calculus

y=¡î(9-x©÷) find the x-axis using the disk method?
91. ### calculus

lim sinx as x approaches pie/r A) -(2^1/2)/2 B) (2^1/2)/2 C) (2^-1/2)/4 D) DOES NOT EXIST E) -(2^(-1/2))/4
92. ### calculus

find the slope of the tangent at the given point. Y=2x^4 (-1, 2)
93. ### calculus

Given f(x) = 2(x^(5/3)) - 5(x^(2/3)) Find the slope of the tangent at each x-intercept
94. ### Pre Calculus

complete the identity: sin^4 x-cos^4 x
95. ### Calculus

suppose that f(5)=5 and the limit as x->5 is 4f(x)-20/(x-5)(x+5)=10 find derivative of the function.
96. ### calculus

find an antiderivitive for integral(f looking sing)3/3x+4 dx
97. ### calculus

find the length of the curve;x^2=a^2(1-e^(y/a))measured from(0,0) to(x,y) is a log(a+x/a-x)-x.
98. ### Pre calculus

Find the inverse function of F(x) = 2 arccosx F-1(x)=
99. ### Calculus

Lef f be the function defined by f(x)=x^3+x. If g(x) is the inverse of f(x), g(x)=f^-1(x) and g(2)=1, what is the value of g'(2)?
100. ### Calculus

Find the derivative of y=cos(squarerootsin(tzn(pi*x)))