# Pre- Calculus

21,911 results, page 89
1. ## 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)
2. ## Calculus question ?

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

Use n = 6 subdivisions and left endpoints to estimate the area under the graph of f(x) = 2x + 1 between x = 0 and x = 3.
4. ## Calculus

Find the derivative of the integral from x^3 to 5 of cosk/(k^2+2). My answer is ((-cos(x^3)(3x^2))/(x^6+2).
5. ## Applied Calculus

Find the derivative of the function: f(x)=(x^2+9)/square roote of x
6. ## 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.
7. ## 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!!!

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

Find the distance d(P1,P2)between the points P1 and P2. P1=(-5,2) P2=(2,1) d(P1,P2)=? *all the 1's and 2's are to be lower down.* Please show work
10. ## Grade 12 Calculus University

Hello ^___^ Please help me! Thank you very very much! Determine if the planes are parallel. [x,y,z] = [1,2,2] + s[0,-1,0] + t[0,0,1] [x,y,z] = [1,0,-3] + s[0,0,1] + t[-1,0,0] thank you ^__^Y
11. ## Calculus

Use n = 3 subdivisions and left endpoints to estimate the area under the graph of f(x) = 3x 2 + 1 between x = 0 and x = 1.
12. ## 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=
13. ## calculus

verify that y=C1e^2x + C2e^-3 is a solution of the differential equation y''+y'-6y=0
14. ## Maths Calculus

Find the first derivative for the following functions 1) x^3 . sqrt( 3x^5 + 1 ) . sin (7x)
15. ## Calculus

Find the equation of a circle with center C(1,6) and tangent line x-y-1=0.
16. ## Calculus

Find the absolute maximum and minimum values of f(x)=(x^2)(e^(-x/2)) on the interval [-1,6]
17. ## calculus

y = (ln x)^(cos4x) Use logarithmic differentiation to find the derivative of the function.
18. ## 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
19. ## Calculus

If f(x) has zeros at x=a, and x=b, the x coordinate of the turning point between x= a and x=b is 1/2(a+b). PLease help i don't understand this!
20. ## Calculus

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

find the limit. lim (5-e^x)/(5+3e^x) (x-> infinity) how would i go about solving this? thank you in advance to anyone who can help me.
22. ## Calculus

Find the derivative of the following functions using the f prime of x = the limit as h approaches 0 of f(x+h) – f(x) all over h a)ƒ(x) = x2 + 5^x b)ƒ(x)= 1/2^x
23. ## Calculus

Let f(x)= 6x+(4/x^2). Then the equation of the tangent line to the graph f(x) at the point (2,13) is give by y=mx+b What is m? What is b?
24. ## calculus

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

Find the horizontal and vertical asymptotes of f(x)=csc^-1(x) if they exist.
26. ## Hard Calculus

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

Givenƒ(x) = ex, verify that lim h->0 (e^x+h - e^h)/h + e^x and explain how this illustrates that ƒ′(x) = ln e • ƒ(x) = ƒ(x)
28. ## Calculus

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

it says lim as x>-3 x+3/ x^2+7x+12 I need to find the limity using subsitution, a table, or by graphing...
30. ## Calculus

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

Find the equation of the tangent line to f(x)=sec x - 2 cos x at (pi/3, 1).
32. ## Calculus

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

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

h(t)= -16t^2 + v0t. How fast is the object moving after 5 seconds?
35. ## Calculus

Find the equation of the tangent line to the curve below at point (0,3) y=6/(1+e^-x)
36. ## 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.
37. ## Calculus

Use the given information to find the cos (2,0), csc q = 5/3, q lies in n quadrant II How would I go about doing this
38. ## Calculus

Determine the value(s) of k such that the area of the parallelogram formed by vectors a = (k+1, 1,-2) and b =(k,3,0) is [sqrt(41)]
39. ## calculus

show that an integral of the form ∫00,a e^(-px) dx is convergent if p>0 and divergent if p<0
40. ## calculus

Prove that cos(sin inverse x) = square root ( 1-x^2)
41. ## calculus

Prove that cos(sin inverse x) = square root ( 1-x^2)
42. ## Calculus

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

An arithmetic progression has terms a8 =23 and a20 =83 . What is the value of the term a12
44. ## 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
45. ## calculus

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

Find the area of region bounded by the curves y=sin(pi/2*x)and y=x^2-2x.
47. ## calculus

Let f(x)=2.2 3x. Estimate the derivative f'(2.3) to within two decimal places by using a small enough interval.
48. ## Calculus

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

find the derivative of y=cos pix/sinpix+cospix
50. ## calculus

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

Find if there are any vertical asymptotes: g(theta)= (tan4theta)/(4theta)
52. ## calculus

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

Find the area of the region. Please show work so I can understand. 2y=5x^(1/2),y=3,2y+4x=9
54. ## 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)
55. ## Calculus

Evaluate the limit. as x approaches infinity, lim sqrt(x^2+6x+3)-x
56. ## Calculus

Implicit Differentiation: Find dy/dx for each. Leave answers in terms of both x and y. 1) 1/y + 1/x = 1 + y^2 2) -(x^2 / y^2)
57. ## 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
58. ## Calculus

Show that non positive rational number, x, exceeds its cube, x^3 by exactly 1.
59. ## Calculus

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

y= x^(2x+1) find the derivative of the function using natural log
61. ## calculus

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

Determine if Rolle's Theorem can be applied. If it can, find all values of c such that f'(c)=0. f(x)=x^3-9x, [-3,3]
63. ## calculus

Using Young’s rule, if the patient is 3 years old, how much Pepcid is given per dose?
64. ## 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)
65. ## calculus

solve the inequality algebraically 7x-6 less than or equal to 3x^2 please show work
66. ## calculus

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

Let f(x)=x^(3)+x-1. Find ech number c in (1,2) that satisfies the conclusion of the Mean Value Theorem.
68. ## calculus

if the area of a triangle with base 2F and height F-2 is equal to F, compute F.
69. ## 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
70. ## calculus

A point is moving along the graph of y = x2 so that dx/dt is 2 centimeters per minute. Find dy/dt when (a)x = 0 and (b)x = 3.
71. ## Calculus

Let f(t)=(1)/(t) Find a value of t such that the average rate of change of f(t) from 1 to t equals 14. t= ____
72. ## 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)
73. ## calculus

solution for limit as delta x approaches 0 (1-cos4x/1-cos2x)
74. ## Calculus

How many zeros are at the end of the product of the first fifty positive integers?
75. ## Calculus

If M is 30% of Q, Q is 20% of P, and N is 25% of P, then M/N equals which of the following? (a) 3/250 (b) 3/25 (c) 1 (d) 6/5 (e) 4/3 When I do this problem I keep getting 6/25, but that is not one of the choices. Any help would be greatly appreciated.
76. ## Calculus

Integration with trig functions Integral of [(1-sinx)/cos^2x] dx
77. ## Calculus

Find the area of the shaded region bounded by y=7x and y=x(sqrt(22^2-x^2))
78. ## 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.
79. ## calculus 1

find the total area between the curves ( y= 4-x ^2 ) and the x-axis over the intervals [0,4]
80. ## calculus

find the derivative of the function y=log absolut power 2-x
81. ## calculus - limits

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

6) Evaluate the indefinite integral. ∫cosx/(7sinx+35)dx
83. ## Calculus

which pair of lines are perpendicular? a) 2x + 3y - 7=0, -3x - 2y + 2=0 b) 2x - 3y + 2=0, 5x - 7y + 2=0 c) -4x + y - 3=0, x + 4y=0 d) -5x + y + 1=0, 5x + y + 1=0 Please explain. I know we have to use the dot product :3
84. ## Calculus

Find the horizontal asymptotes of the curve. y=-6x/squareroot (4x^2-160
85. ## Calculus

Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. f(x) = 4√x [4, 9]
86. ## Calculus 2

Find the area bounded by the curves y=sin(4x) and y=0 for x between x=0 and x=3pi/8.
87. ## Calculus

Problem 12. Find the derivative of the function. f(x)=e^(x)^1/2 My answer is: [e^(x)^1/2]/2x^(1/2) Is this correct?
88. ## calculus

Find dy/dx and d^2y/dx^2 and then determine for which t values the curve is concave up: x=t^3 - 18t y=t^2 - 1
89. ## calculus

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

Find a value of the constant k such that the limit exists. x^2-k^2 lim _________ x->8 x-8 k=+/_
91. ## Calculus

Find all points on the curve where the tangent line is horizontal y = (x^6/6) - (x^2/2) + 1
92. ## calculus

find the centroid of the region bounded by x^2-12x and the x-axis
93. ## calculus-can someone please help me with this ques

find the rate of change of f(x)=x^2+4 a. from -2 to 0 b. from 1 to 3 c. from -2 to 1 please show work
94. ## calculus

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

Find the derivative of the function y, below. It may be to your advantage to simplify before differentiating. y = 8x(ln(x)+ln(2))-4x+pi
96. ## Calculus

Compute the surface area of revolution about the x-axis over the interval. y = x^2, [0, 4] Is it (pi/12)(65^2 - 65)^(3/2)?
97. ## Calculus

26. Find all points of inflection. f(x) = (5x-3)^(1/3) Note: I have gotten f''(x) = (-50/9)(5x-3)^(-5/3) I would like to know how to figure out the zeros.
98. ## Calculus

Trying find the critical numbers for X^3+X^2-8x But i cant remember how to simplfy the derivitive of 3X^2+2X-8 can someone help me?
99. ## calculus

Find all positive values of x that satisfy x multiplied by the x root of x^2 = x^x
100. ## Calculus AP need help!

i still understand this problem If x^2/25 +y^2/49=1 and y(3)=5.6000, find y'(3) by implicit differentiation.