# Pre- Calculus

21,880 results, page 90

1. ### calculus - (derivatives)

Find the derivative of the function f by using the rules of differentiation. F(x) = 3 ã x
2. ### Calculus

Can some one please explain this problem to me? Find lim x->0 (sin5x/sin7x)
3. ### calculus

lim sqrt [(2+3x)/(1-5x)] x--->infinity I got no idea with how to do this one. Can anyone please teach me how to do it?????THANKS A LOT!!!
4. ### calculus

lim sqrt [(2+3x)/(1+5x)] x--->infinity I got no idea with how to do this one. Can anyone please teach me how to do it?????THANKS A LOT!!!

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

lim ((1-2x)/(√1+x^2)-1) x→∞ Find the value.
7. ### calculus

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

pls integrate and differentiate e^x^2 and x/y square root of x^2+y^2 in terms of x.
9. ### Calculus

Find the particular solution (solved for y) for the differential equation dy/dx=2x/e^(2y) satisfying y(0)=1.
10. ### 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)
11. ### calculus

find one point on the graph of y= x+2cosx such that the tanget is horizontal
12. ### Calculus

Find the magnitude and direction angle of p=42i+35j
13. ### Calculus

Find the magnitude and direction angle of p=42i+35j
14. ### Calculus

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

Use the quotient rule to find f'(x): f(x) = [(x+4)(x-5)]/[2x(x+3)] For the first part...do I put them together? Can someone please complete this.
16. ### Calculus-derivatives

At what points on the graph of f(x)=6x^2+4x-9 is the slope of the tangent line -2?
17. ### Calculus 1

Find the equation of the tangent line to the curve y = (9 ln x)/x at the points (1, 0) and (e, 9/e).
18. ### calculus

if the area of a triangle with base 2F and height F-2 is equal to F, compute F.
19. ### calculus

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

Write the sum using summation notation. 2 + 5 + 8 + 11 + ... + 29 Also, I know that it is going up by 3 units. But I am not sure how to get it into the form below: example: 15 ‡” k +3 k-1
21. ### 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!
22. ### calculus

find the average rate of change of the function f(x)=x^3+1 over the interval [-1,1]
23. ### Calculus

Givenƒ(x) = e^x, verify that lim (e^x+h-e^h) / h = e^x h->O = and explain how this illustrates that ƒ′(x) = ln e • ƒ(x) = ƒ(x)
24. ### calculus

if the area of a triangle with base 2F and height F-2 is equal to F, compute F.
25. ### Calculus

So, yet again, I am confused! State whether or not the following statements are true. Justify your reasoning. a). a• ( b+c ) = a• b + a • c b.) a × ( b+c ) = a × b + a × c c.) a × ( b•c ) = a × b • a × c Thanks, again!
26. ### calculus

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

what's the equations of both lines through the point (2,3) that are tangent to the parabola y=x^2+x
28. ### Calculus

Determine the exact values of the six trigonometric functions of the angle.(-5,-2)

Find the centroid of the area bounded by the parabola y=4-x^2 and the x-axis A.(0,1.6) B.(0,1.7) C.(0,1.8) D.(0,1.9)
30. ### 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)
31. ### Calculus

Find the area of the region enclosed between y = 2sin (x) and y = 2cos (x) from x = 0 to x = pi/4. Thanks for your help :)
32. ### 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)
33. ### Calculus

Find the 4th Taylor polynomial, P4, generated by f(x) = 1/x at center a = 2 ?
34. ### Calculus

Which of the following functions does not have a derivative of zero? A. y=-1/100 B. y=4(pi)^2-9 C. y=sin^2x+cos^2x D. y=cscxtanxcosx E. All do
35. ### Calculus

The function f(x) = x^3 + x an inverse. Compute f^-1(0) and f^-1(2). Hint: Do not try to evaluate f^-1 explicitly.
36. ### calculus

use L'Hopital's Rule to evaluate lim (4x(cos 8x-1))/(sin 8x - 8x) as x->0
37. ### Calculus

Find the slope of the tangent line to the graph of the given function at the given value of x. y=-5x^1/2+x^3/2; x=25
38. ### Calculus

consider the function f(x) = (x if x<1 (1/x if x>or equal to 1 Evaluate the definite integral: int_{-2}^{3} f(x)\,dx =
39. ### Calculus

Find the slope of the tangent line to the curve 2(x^2 + y^2)^2 = 25(x^2 - y^2) at the point (3,1). Thank you very much for your help.
40. ### calculus

Use l'hopital's Rule to evaluate lim x in 0 of (4x(cos 6x-1 )) / sin 3x-3x
41. ### Calculus

How many terms are required in the series (-6) + (-12) + (-24)... to add to a sum of -378? How do I do this?
42. ### Maths- Calculus

The region R bounded by y=e^-x and y=0 and lying to the right x=0 is rotated about the y-axis
43. ### calculus

rewrite each summation using the sigma notation. Do not evaluate the sums (a)3 + 4 + 5 + . . . + 93 + 94 (b)9 + 16 + 25 + 36 + . . . + 14
44. ### calculus

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

How long will it take an investment that pays 5% compunded annually to double in value?
46. ### calculus

select the equations of all lines through the orgin that are tangent to the curve y=x^3-8x^2-7x
47. ### Calculus

Find the volume of the solid bounded below by the parabloid z = x^2 + y^2 and above by the plane 2x + z = 3
48. ### calculus

y = (ln x)^(cos4x) Use logarithmic differentiation to find the derivative of the function.
49. ### calculus

find the intervals on which the function is increasing, decreasing, or constant. (-7,2)(-6,2)(-5,2)(-4,2)(-3,2)(-2,2)(-1,2)(1,3)(3,4)(5,5)
50. ### calculus

Find the derivative of the function. 1. 2x+5/3x-2 2. (1-x)(1+x^2)^-1 Please show work. TYVM. :)
51. ### calculus

find the equation of the tangent line at the given value of x on the curve 2xy-2x+y=-14, x=2
52. ### Calculus

Find the equation of the tangent line to the curve below at point (0,3) y=6/(1+e^-x)
53. ### calculus - limits

Does the limit lim 2011t/3-(squareroot)t+9 exist ? t-0
54. ### calculus

find the derivative of the function y=log absolut power 2-x
55. ### 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?
56. ### Calculus

Find the area of the region bounded by the graphs of y = x, y = −x + 4, and y = 0. 1 2 4 None of these
57. ### 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)
58. ### Calculus

Evaluate the indefinite integral of InT(-x^3+9x^2-3x+2)/(x^4-2x^3) I got ((1-2x)/(2x^2))+3*ln(2-x)-4*ln(x) but apparently that's not the answer...
59. ### calculus

find the horizontal tangents of the curve and show work y=5x^3-3x^5
60. ### AP Calculus

Find all points on the graph of f(x)=-x^3+3x^2-2 where there is a horizontal tangent line.
61. ### calculus

x squared minus four, at which intervals is the function increasing or decreasing?
62. ### AP Calculus

For which of these functions f(x) does limit as x approaches negative infinity f(x)=2 A. (x-2)/(3x-5) B. 2x/sqrt(x-2) C. (2x^2-6x+1)/(1+x^2) D. (2x-1)/(x^2+1) E. None of these
63. ### calculus

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

Evaluate lim x-->25 5 - square root x / x - 25 I don't get how the answer is -1/10
65. ### Calculus

Find the 4th Taylor polynomial, P4, generated by f(x) = 1/x at center a = 2 ?
66. ### Calculus

Determine whether the hypotheses of the Intermediate-Value Theorem are satisfied. f(x)=x^1/3 , [a,b]=[-1,1] Please, explain. Thank you.
67. ### calculus

Find the points on the curve y= 2x^3 + 3x^2 - 36x + 7 where the tangent is horizontal.
68. ### 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
69. ### Calculus

(sin(47))^2 + (cos(43))^2 = With the correct number of significant figures.
70. ### calculus

For what x-values does y=e^-x have the same slop as x+4y = 1 I am not sure what steps I am supposed to take to tackle this problem.
71. ### calculus

find the partial derivatives du/dx, du/dy and du/dt. u= root (r^2+s^2, r = y + x cos(t), s = x + y sin(t);when x = 0, y = 2, t = 2
72. ### calculus

How to create a function with a Doamin [-3,8] Range [-2,4] Increase (-3,1) (5,8) Decrease (1,5)
73. ### Calculus I

For what values of a and b is the line -4x+y=b tangent to the curve y=ax^3 when x=4? Can anyone give me the hint?
74. ### Calculus

Evaluate the triple integral _E (xy)dV where E is a solid tetrahedron with vertices (0,0,0), (4,0,0), (0,1,0), (0,0,4)
75. ### calculus

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

If f(x) = { √2-x x < 2 { x^3 + k(x+1) x ≥ 2 determine the value of the constant k for which lim exists. x->2
77. ### calculus-limits

For f(x) = e^x sinx , what can be said about lim x -> negative infinty? Explain.
78. ### Calculus

Locate the absolute exterma of the function on the closed interval. y=3-|t-3| , [-1,5]
79. ### Calculus

Find the Taylor polynomialof order 5 appoximation to sin(1.5)
80. ### Calculus

Find the average value of function f(t)= 4sec(t)tan(t), interval [0,pi/4]
81. ### calculus help

integrate:dx/(3x^3-5)^3 i don,t know how to use wolframalpha plz show me step....
82. ### calculus

find the derivative of y=cos pix/sinpix+cospix
83. ### Calculus

Use either substitution or integration by parts to evaluate the integral: ∫(x+2)/(x²+2) dx Thank you!!
84. ### Calculus

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

Find the derivative for f(x)=-x^2+x Do I put -x^2 on the denominator? How would I solve it if that's the case?
86. ### Calculus

Determine the slope of the tangent line to the curve y=2x^3-3x^2+1 at the point (1,0)
87. ### calculus

Use an appropriate local linear approximation to estimate the value of Cotangent 46 degrees.
88. ### calculus

What is the definite integral from 0 to x of 1/(4 + t + 3t^2) dt? For starters, what is the anti-derivative and how did you find it? I think I could take it from there.
89. ### Calculus

Find the general indefinite integral ∫ v(v3+5)2dv
90. ### Calculus

How do I find the area of the region bounded by the graphs of the given equations? y=x+20; y=x^2
91. ### calculus

Let f(x)=6x+16x^2 . Then the equation of the tangent line to the graph of f(x) at the point (2,16) is given by y=mx+b for m= and b=
92. ### Calculus

Show that Rolle's Theorem applies to the given function for the given values of x: x=-1 and x=4 for f(x)=3x-x^2+2.
93. ### Calculus

I need help finding the derivative of this function: f(x)=(X^2+2)^4/5 Thanks in advance! Any help would be greatly appreciated!
94. ### calculus

"use the intermediate value theorem to prove that the curves y=x^2 and y=cosx intersect"
95. ### calculus

How do I use the product rule to find the derivative of the following. y=(x+1)(3square root x+7) y'= Please help
96. ### calculus

I am stump on how to break this down for I can use the chain rule to get the integral of this equation. (-30/(2x+1)^2)=30
97. ### Calculus

2. For what values of x dies the graph of f(x)=2x^3-3x^2-6x+87 have a horizontal tangent? My answer: (1.6,77.9) (-0.62, 89.1)
98. ### Calculus

1. On what interval is the function f(x)=x^3-4x^2+5x concave upward? My answer: (4/3, infinity) ?????
99. ### Calculus question ?

Are there any horizontal asymptote on a ln natural log function
100. ### Calculus

If the slope is 3, find an equation of the tangent line to the curve at P(8, -3).