# Pre- Calculus

21,812 results, page 87

1. ### calculus help

Evaluate integral from -10 to 10 of ((2e^x)/(sinhx+coshx)dt) Show steps please Thanks!
2. ### Calculus

Given f'(x)=9/2x(3x^2+2)^1/2 (this is the derivative of y= sqrt[(3x^2+2)^3]) , state any values of x for which the function is not differentiable
3. ### Calculus

If f(x1)>f(x2) for every x1>x2, then what is the behaviour of f(x)? I believe that the answer is that f(x) is increasing but I do not know how to show my work for that

5. ### Calculus

Assume v(t) = 6t - 18 on the interval [0, 6]. Find the total distance that the object traveled on [0, 6].
6. ### calculus 2

r=1- 3Sin theta¸ find the area enclosed by the inner loop
7. ### calculus 2

use the simpsons rule with n=10, arc length y=^3sqaure root x, for 1<=x<6
8. ### calculus

Determine (6i+2j)· (i-4j+k) This is a dot product question and each letter has the vector symbol
9. ### calculus

For the vectors x=(0,6,-5), y=(2,1,4) and z=(-2,3,-1) what is the value of (2x+y)·(3y-z)? (dot product question and each letter is a vector)
10. ### Calculus

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

Find the slope of the tangent line to the curve (2x+4y)^1/2+(2xy)^1/2=13.4 at the point (6,5).
12. ### calculus

Find the center of mass in the 1st quadrant of the circle x^2+y^2=4 where rho(x,y)=k(x^2+y^2) Thanks.
13. ### calculus

can you find a sequence{an} such that {an} diverges, and the series of an converges? justify
14. ### Calculus

1. If the tangent line to y=f(x) at (4,3) passed through the point (0,2), find f(4) and f'(4). My answer: f(4)=3 f'(4)=1/4
15. ### calculus

Let \lambda be a positive real number. Evaluate \sin^{-1}(\lambdai)
16. ### calculus

Let f(x) = x ^3. The equation of the tangent line to f(x) at x = 3 is y= ?. Using this, we find our approximation for 2.7 ^3 is
17. ### 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)
18. ### calculus

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

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

Find f(x) satisfying the given conditions: 1) f"(x) = 1/x^3 f'(1) = 1/2 f(1) = 0 2) f"'(x) = sin (x) f"(0) = 0 f'(0) = 1 f(0) = 0
21. ### Calculus

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

Find dy/dx if x^2+y^2=2xy A. x/(x-y) B. (y+x)/(y-x) C. 1 D. -x/y E. None of these Do I equal it to 0 and use implicit rule?
23. ### Calculus

Find the derivative for f(x)=-x^2+x Do I put the -x^2 as a denominator? How would I solve it if that's what I'm supposed to do?
24. ### 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
25. ### AP calculus

Find values for x and/or y on the graph of x^2-2y^2+9x+8y-276=0 for which there is a vertical tangent line
26. ### Calculus

Find an equation of the tangent line to the graph of x^2+3y^2=4 at the point (1,1) A. y+1=-1/3(x+1) B. y-1=-x/3y(x-1) C. x+3y=2 D. y-1=-1/3(x-1) E. None of these
27. ### AP Calculus

Find all points on the graph of f(x)=-x^3+3x^2-2 where there is a horizontal tangent line.
28. ### 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?
29. ### 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
30. ### Calculus

Find the limit as x approaches 1 5/(x-1)^2 I don't understand how to solve it because there would be a 0 on the denominator.
31. ### 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 =
32. ### Calculus

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

L'hopital's question below: lim x -> 0 from the positive direction of ( 5^(sin(x)) - 1 )/ (x)
34. ### Calculus

My question: An equation of the line tangent to the graph of f(x) = x(1 - 2x)3 at the point (1, –1) is?? My answer: y = –2x + 1
35. ### Math (calculus)

If y = 2x^3 - 4x and dx/dt = 4, find dy/dt when x = 1. Please show me how to solve this problem with steps.
36. ### calculus

Find a formula for a function that has vertical asymptotes at x=7 and x=9 and a horizontal asymptote at y=7
37. ### Calculus

How would I answer this question? Differentiate the function f(x)=sqrt(cosxsinx)
38. ### calculus

s= [b]*[d]+64t-16t^2 what is the greatest height above the ground the rock will go
39. ### calculus

given the velocity of a particle traveling along the y-axis by v(t)=tsin(t^2)
40. ### calculus

Describe three situations in which you may want to know the projection of one vector onto another.
41. ### calculus

Plot three points with first coordinate equal to (-2.8) and join them
42. ### Calculus 1

Find an equation of the tangent line to the curve y = 6/(1+e^−x)at the point (0,3).
43. ### Calculus 1

Find an equation of the tangent line to the curve at the given point. y =(1+2x)^12, (0,1)
44. ### Calculus 1

Use logarithmic differentiation to find the derivative of the function. y = x^(8cosx)
45. ### Calculus 1

Use logarithmic differentiation to find the derivative of the function. y =sqrt(x)^3x
46. ### Calculus

The normal (perpendicular) line to the curve y=sqrt(8-x^2) at (-2,2) has slope A. -2 B. 1/2 C. -1/2 D. 1 E. -1 I got A
47. ### Calculus

if f'(x)=2(3x+5)^4 , then the fifth derivative of f(x) at x=-5/3 is A. 0 B. 144 C. 1,296 D. 3,888 E. 7,776 I got A
48. ### Calculus

If y=3x-7, x is greater than 0, what is the minimum product of x^2y? A. -5.646 B. 0 C. 1.556 D. 2.813 E. 4.841
49. ### Calculus check

An equation of the line tangent to y=sinx+2cosx at (pi/2, 1) is A. 2x-y=pi-1 B. 2x+y=pi+1 C. 2x-2y=2-pi D. 4x+2y=2-pi I got A
50. ### calculus check

If siny=cosx, then find dy/dx at the point (pi/2, pi) A. -1 B. 0 C. 1 D. pi/2 E. None of these I got C
51. ### Integral Calculus

Find Mx, My, and (x, y) for the lamina of uniform density ρ bounded by y=1/2x ,y>0 x=2
52. ### Calculus

1. integral (x^3 * sqrt(x^2-4)) dx I'm confused on how to start this problem, if I am doing trig substitution.
53. ### Calculus

Show that there are at least two values of x in the interval (−π,π) such that x=1+sin(x)
54. ### Calculus

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

Given f(x)=x^2-27x-28, find the largest integer in shich f is decreasing.
56. ### Calculus

The slope of the line normal to the curve e^x − x^3 + y^2 =10 at the point (0, 3) is ____
57. ### Calculus

at what time does this equation reaches 10000? show steps. thanks w(t)=(t-10)(t-20)+4500
58. ### Calculus

On the closed interval, [0, 2*pi], find the absolute maximum of the function f(x)= sin^2(x)
59. ### Calculus Partial Fraction

Sorry. The problem should have been: (x^2)/(x^3-8)(x-2)
60. ### calculus

how to find surface area of a cylinder with respect to r(radius) and h(height)?
61. ### CALCULUS

20.) How do I find the zeros of the function algebraically? ex1) f(x)= x^3 -4x^2 -9x +36 ex3) f(x)= 3 +(5/x) ex7) f(x) = (2x^2-9)/ (3-x)
62. ### calculus

dont get it write intervals for the function sin(x)/1-cos (x) is continuous on.
63. ### calculus need help

use the first principle to obtain the differencial coefficient y=1/(2x-1)
64. ### Calculus/Math

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

solve the differential equation that satisfies the given condition: dy/dx=(ycos(x))/(6+y^2), y(0)=1
66. ### HELP CALCULUS

Find dy/dx by implicit differentiation. tan−1(4x2y) = x + 3xy2
67. ### Calculus

Find the area of the region between the graphs of f(x)=3x+8 and g(x)=x^2 + 2x+2 over [0,2]. I got 34/3.
68. ### Calculus help plz

Using the first rule of derivative find 8(x-y)12?? And how can i solve these y^x+x^y=17,x+y=5
69. ### Calculus

Find an equation of the tangent line to the curve at the point (1, 1/e). y = (x^3)(e^−x)
70. ### Calculus 1

Locate the absolute extrema of the function f(x)=Sinpix on the closed interval [1,1/3]
71. ### Calculus

Find the area of the region between the graphs of f(x)=3x+8 and g(x)=x^2 +2x+2 over [0,2]. My answer: 34/3
72. ### Calculus

Use integration by parts to evaluate the definite integral. S 12 x/sqrt of x+4 dx 0
73. ### Calculus

Let f(x)=5x^(9/5)−45x^(4/5). Find the largest open interval(s) where f(x) increases.
74. ### calculus

Find a cubic polynomial such as f(x)=ax^3+bx^2+cx+d that has horizontal tangents at the points (-5,4) and (4,-4)
75. ### Calculus

Find a function of the form f(x)=a+bsqrtx that is tangent to the line 2y-3x=5 at the point (1, 4)
76. ### Calculus

How do I solve e^(ax) = Ce^(bx), when a does not equal b? I know the answer has something to do with natural log, and that a has to be connected to b and c, but I don't know what.
77. ### 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)
78. ### Calculus

Using the definition of the derivative, find the equation of the tangent line to y=2x-1/2 at (1/2,-1) Thanks!!
79. ### 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
80. ### calculus

The region bounded by y=x^2 and y=4 is rotated about the line y=-1. Find the volume.
81. ### Calculus

Determine the interval on which f(x) = ln(x) is integrable. (0, ‡) [0, ‡) (−‡, 0) U (0, ‡)(MY ANSWER) All reals
82. ### 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.
83. ### Calculus 1

Find the formula for a function of the form y=bxe^(-ax) with a local maximum at (4,12)...
84. ### calculus too hard help

if y=x^x^x^x... dy/dx=? plz show working thanks got no ideal at all
85. ### 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
86. ### calculus

Use implicit differentiation to find dy/dx if 384,000=30x^1/3y^2/3 .
87. ### calculus

Find the area of the region bounded by the graph of f(x)=x(x+3)(x+1) and the x-axis on the interval [-3,0]
88. ### calculus-help.. .Me

if y=e^(-kt)[Acosh(qt)+Bsinh(qt)] where A,B,q and k are constant show that d^2y/dt^2+2kdy/dt+(k^2-q^2)y=0 step plz thanks
89. ### calculus

What function should be used to minimize the distance between and the point (2, 0)?
90. ### Calculus

If F(x)=f(g(x)-h(x)), where g(3)=5, h(3)=4, g'(3)=3, h'(3)=1 and f'(1)=10, find F'(3). I know how to do derivatives and all, but I rlly can't figure this question out
91. ### Calculus

State the domain and range of the function f(x) = 2sin(sqrt(3x-1)) + 3 Why is this so difficult?
92. ### calculus

plz help show me steps solution evaluate the integral §dx/[(x+1)root(1-x^2)]
93. ### Differential calculus with analytic geometry

use implicit differentiation to find dy/dx. xy^2+4y^3=x-2y
94. ### Calculus AB

Could someone please help me with this? Calculate the instantaneous rate of change of f <note: f(x)=(x-6)/(x+6)> at x=6.
95. ### Calculus

Find the points on the lemniscate, given below, where the tangent is horizontal 2(x^2 + y^2)^2 = 49(x^2 − y^2)
96. ### Calculus

Evaluate the definite integral (low) (high) -π/6 ∫ π/6 2sec(x)tan(x) dx
97. ### Calculus

Find the values of c guaranteed by the mean value theorem for integrals. f(x)= x^3 [0,3]
98. ### Calculus

For which pair of functions f(x) and g(x) below will the lim(x->infinity) f(x)g(x)≠0 a)f(x) = 10x + e^-x; g(x) = (1/5x) b)f(x) = x^2; g(x) = e^-4x c)f(x) = (Lnx)^3; g(x) = 1/x d)f(x) = √x; g(x) = e^-x
99. ### Calculus

Find all values of c that satisfy the Mean Value Theorem for f(x) = x^3 + 1 on [2, 4].
100. ### Calculus

Find the area of the region in the first quadrant between the curves y=x^8, and y=2x^2-x^4