# Pre- Calculus

21,824 results, page 82

1. ### calculus

Find the equation of the curve for which y'=3x² and which passes through (1,-1).
2. ### Calculus 1

Find the exact value of each expression. (a) cot^-1(sqrt(3))
3. ### Calculus

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

Find the area bounded by the curve y=1/2+2, the x-axis, and the lines x=1 and x=4. a.7 1/2 b.10 2/3 c.16 d.28 1/2
5. ### calculus

hey guys, quick question (-8 +- sqrt -20)/-6 what does this equal
6. ### Calculus

How can I show that the function F (x)= the integral from 2x to 5x of 1/ t dt is constant on the interval (0, +∞).
7. ### Calculus

Maclaurian' series example "f(x)=tanx" give me answer
8. ### 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).
9. ### Calculus 1

Find the linear approximation of the function g(x)=cube root(1+x) at a=0.
10. ### Calculus

Find constants a and b in the function ax^b/ln(x) such that f(1/5)=1 and there is a local min at x=1/5
11. ### Calculus

Evaluate the integral. (Remember to use ln(|u|) where appropriate.) cot^3(3x) dx
12. ### Calculus

Find the area of the unbounded shaded region. Y= 7/ SQRT 7-X
13. ### Calculus

Find the area of the unbounded shaded region. Y= 7/ SQRT (7-X)
14. ### Calculus

Evaluate using long division. The integral of x/6x-5 dx How do I divide this?
15. ### Calculus 1

Find the local maximum and minimum for the function f(x)=2x^3-3x^2-120x+10
16. ### Calculus

Evaluate using long division. The integral of x/6x-5 dx How do I divide this?
17. ### Integral Calculus

Integrate (tan^-1 X)/(1+x²) dx please help, I don't know how to start this one
18. ### Integral Calculus

Integrate (tan^-1 X)/(1+x²) dx please help, I don't know how to start this one
19. ### Mulitvariable Calculus

How to proof tangential and normal components of a vector Thank you
20. ### Calculus

Solve the following problem by separation of variables. T^2y'-t=ty+y+1 Y(1)=0 Y is a function of t.
21. ### Calculus

What is the first derivative of the following function: f(x) = a^(-bx)? (I am lost with this question)
22. ### Calculus

Find the volume bounded above by parabolic z = 6 - x^2 - y^2 and below by z= 2x^2 + y^2
23. ### calculus

25pi/3=1/2xsquare root of 100x^2 and plus 50 arcsin(x/10)
24. ### Calculus

Find the specific solution of the differential equation dy/dx= 4y/x^2 with condition y(-4) = e.
25. ### Calculus

Find the y-intercept of the tangent line to y= -0.2/sqrt(6+5x) at(2.5,-0.04990597277) Thanks
26. ### Calculus

The particular solution of the differential equation dy/dt=2*y for which y(0) = 60 is y = 60e2t y = 60 e0.5t y = 59 + et y = 30et
27. ### Calculus

Given that the antiderivative of f(x) = e4x is F(x) = 1/4e^4x+C, evaluate the integral from 0 to 2 of e^4x, dx. e^8 1/4(1-e^8) 1/4(e^8-1) 1/4e^8 (MY ANNSWER)
28. ### 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?
29. ### Calculus

An equation of the line with slope -1 that passes through the point (2,5) is y=-x+7
30. ### Calculus

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

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

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

sin(cos^-1(x/2))= draw right triangle to simplify
34. ### Calculus question ?

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

I need help I have to submit work at 12 est time
36. ### Calculus

let f(x)=2x-7. Use the rigorous definition of limit to show that lim x-->4 f(x)=1
37. ### Calculus

Use implicit differentiation to find the derivative of y with reapect to x x^2y-y^2+ln(xy)=1
38. ### Calculus

Does the series converge? diverge? Use the Root test ((1/n)-(1/n^2))^n
39. ### Calculus

Solve the following equation on the interval [0,2pi) if sin = -0.29?
40. ### calculus

find the area of the parallelogram that has vectors as adjacent sides u = -2i +j +5k v = 4i -3j -3k
41. ### Calculus

Evaluate using tabular method: integral e^(2x)cos3xdx
42. ### math

Y=Ax^2+Bx has agradient of 7 at the point (6,8) ,find the constant numbers of A and B ? *calculus*
43. ### calculus help me asap

if y^6=tanh^-1(tan^-4(4x^2+y^2)^2)^9 find dy/dx show work....
44. ### Calculus

Find a value for k so that the function is continuous. f(x) = {(x^2 + 2x - 15)/(x - 3), x ≠ 3 and 2kx - 4, x = 3 Is k = 2?
45. ### Calculus

Suppose you know f′(a) = R, a, R > 0. If f is an odd function, what is f(−a)? Explain
46. ### calculus help

if y^3=6xy-x^3-1 show that the maximum value of y occurs where x^3=8+2sqrt(14)
47. ### Calculus

Can you please help me find the x and y intercepts of this equation. How do I solve this? y= x^2 √9-x^2
48. ### Calculus

Find the equation of the tangent line to the curve 2x^2y-3y^2=-11 at the point (2,-1).
49. ### Calculus

Find the Riemann sum for f(x) = sin x over the interval [0, 2π], where x0 = 0, x1 = π/4, x2 = π/3, x3 = π, and x4 = 2π, and where c1 = π/6, c2 = π/3, c3 = 2π/3, and c4 = 3π/2.
50. ### Calculus

Use the function f and the given real number a to find (f^-1)'(a) f(x)=x^3+8x-3 a=6 (f^-1)'(6)= Thank you.
51. ### Calculus

Find the derivative. y=e^8x/[e^(8x)+9] y' = The answer I have is 8e^8x/[(e^8x+9)^2] but it marked it incorrect..
52. ### calculus

find the area of the region bounded by the curves f(x)=x-x^3 ; g(x)=x^2-x ; over [0,1]
53. ### calculus

Use the definition of derivative: lim(as h approaches 0) (f(x+h)-f(x)/(h) to find f(x)=(1)/(2x).
54. ### calculus

how do you find the derivative of this (-x^2)/ (2) +2 and does it have any x intercepts, asypmtotes, or holes.
55. ### Calculus

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

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

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

Given k(p) = |p|+4, find the average value of this function on the interval from -4 to 4. I get 6.
59. ### Calculus II

If {an} (a sequence) is decreasing and an > 0 for all n, then {an} is convergent. True/False?
60. ### 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).
61. ### calculus

dt/dx= ((x^2+a^2)^(1/2))/v1+((b^2+d^2)^(1/2))/v1 the function dt/dx has a zero at a unique x on (0,d). Use this to justify your discovery that d= (x^2+a^2)^(1/2) + (b^2+d^2)^(1/2)
62. ### Calculus Antiderivatives

Find a function whose derivative is a constant k
63. ### Calculus

Evaluate the integral by interpreting it in terms of areas. 0 (3 +sqrt(1 − x2)) dx −1
64. ### calculus

dy/dt = 2y^(1/2) y(0)= 2 What is Euler's method for computing yk+1 from yk with step size delta t when yo= 10
65. ### Calculus

Find the derivative of the function y=S 10(t)^1/2 sin(t)dt y'=? S=integration symbol b=x^3 a=(x)^1/2
66. ### Calculus

find the area of the region bounded by the graphs of y=x^2 and y=cos(x)
67. ### calculus

Find a Cartesian equation for the curve and identify it. (r^2)cos(2θ)=1
68. ### Calculus

Compute the absolute and relative errors in using x to approximate x. x=pi; c=3.18
69. ### calculus

Find the area of the region enclosed by the parametric equation x = t^3−3t y = 6t^2.
70. ### Calculus I'm really confused

solve the differential equation dy/dx=y^2/x^3 for y=f(x) with condition y(1)=1.
71. ### calculus

Q.NO.1: Show that the function z=ln(x^2 + y^2)+2tan^-1(y/x) satisfies Laplace’s equation. (∂^2z/∂x^2)+(∂^2z/∂y^2)=0
72. ### calculus

Q.N0.2: Show that u(x,y)=ln(x^2 + y^2) and v(x,y)=2tan^-1(y/x) satisfy Cauchy-Riemann equations (∂u/∂x)=(∂v/∂y) and (∂u/∂y)=(-∂v/∂x)
73. ### calculus

Find the radius of convergence, R,and the interval, I, of the series. starting n=1 [(x-4)^n]/(n^n)
74. ### calculus

Evaluate the indefinite integral as an infinite series. [cos(x)-1]/x dx
75. ### Calculus

f(x) = sqrt(x+1) a=3 change of x =.8 to estimate f(3.8)-f(3) use linear approximation
76. ### Calculus

Let f(x)=sqrt(x+2) and use the Linear Approximation to this function at a=14 with Δx=0.3 to estimate f(14.3)−f(14)=Δf≈df=
77. ### Calculus

Which value of c satisfies the MVT for f(x) = x*sinx on [1,4]? My answer is 2.463.
78. ### Calculus

Find where the function is increasing and where it is decreasing f(x)=2sin(x) on [0,2pi] Thanks
79. ### Calculus

Solve using chain rule y=(3x^3+1)(-4x^2-3)^4 So far, I have: y'=(3x^3+1)*4(-4x^2-3)^3*(-8x)+(-4x^2-3)^4*(9x^2)
80. ### Calculus

Find dy/dx and express the final answer with a common denominator y=ln x^(2(4x-12))
81. ### calculus 2

How to solve the definite integral of(3x+pi)cos3xdx from [pi over6,pi over 3]
82. ### Calculus

Find the radius of convergence of the series from n=0 to infinity of ((9x-4)^(2n+1))/(n^(3/2)). I think it is 5/9.
83. ### calculus

a) For the function y= e^-3x, determine dy/dx, d^2/dx^2 and d^3y/dx^3. b) From the pattern in part a, state the value for ((d^n)y)/(d(x^n)).
84. ### Calculus

how to find the derivative of the function. y=integral cos(u^4) from 4cos(x) to 4x
85. ### Calculus

If f is a vector-valued function defined by f(t) = (e^(2t), lnt), then what is f ''' (t)? A. 8e^(2t) - 2/t^3 B. (e^(2t), -2/t^3) C. (4e^(2t), -1/t^2) D. (8e^(2t), 2/t^3) E. 4e^(2t)/t^3 I think it is D.
86. ### calculus

Find all solutions in the interval [0,2π) sin3x−sinx=0
87. ### Calculus 2

Calculate the arc length of y= 1/4x^2−1/2ln(x) over the interval [1,6e]
88. ### AP Calculus 12

Please help me with this question: lim __1_-_cosx__ x-0 sinx Thank you!
89. ### Calculus

Given that 1 x^2 dx=1/3, 0 use this fact and the properties of integrals to evaluate 1 (8 − 3x^2) dx. 0
90. ### Calculus

Suppose f and g are continuous functions such that g(7) = 6 and lim [3f(x) + f(x)g(x)] = 18. x → 7 Find f(7).
91. ### Pre-Algebra

Write a rule for this pattern.Fing the next three numbers in the pattern. 1,4,10,22,46,94 the answer that i came up with was that the pattern start with one add 3 and it goes by 3's or 6's. Please and Thank- you Can you see that each term after 1 is the previous term + 1, then...
92. ### pre cal 11

i am stuck at a question that is asking for the common difference, first term, and general term for the arithmetic sequence the question is t10=50 and t27=152 i found my d=6 and t1=(-4) so know my equation is: tn=(-4)+(n-1)6 i had asken my teacher to tell me what the general ...
93. ### Pre-cal/trig

A dog is attached to a 21​-foot rope fastened to the outside corner of a​ fenced-in garden that measures 18 feet by 22 feet. Assuming that the dog cannot enter the​ garden, compute the exact area that the dog can wander. I'm confused as to how they want me to solve this...
94. ### The Inspection Process

In some states, real estate agents are legally required to A. back up the claims their clents make about home conditions. B. appraise the values of the properties they sell. C. hire home inspectors to perform pre0sale inspections. D. pay the fees the pre-sale home inspection.
95. ### The Inspection Process

In some states, real estate agents are legally required to A. back up the claims their clents make about home conditions. B. appraise the values of the properties they sell. C. hire home inspectors to perform pre0sale inspections. D. pay the fees the pre-sale home inspection.
96. ### math- last time then i'm giving up

im sorry but this problem is part of a major grade i have in my pre-ap algerbrea 2 class.... ummm... okay lxl <--these are going to be absolute value bars. 1. Solve lax+bl <or equal to c for x in terms of a, b, and c where a>0 and c>0 2. Now solve lax+bl >or ...
97. ### Pre-Algebra Math

A bank teller is counting his money and notices that he has an equal number of tens and twenties. He also had \$147 in other bills. If the total value of the bills he has is \$1,167, how many tens and twenties does he have What would be the equation in algebra?
98. ### pre-algebra

Use an inequality to solve the problem. A shopkeeper is making a triangular sign for his store front, but he must keep the sign under 20 square feet to adhere to the zoning laws. If the base of the sign is 20 feet, what is the maximum height of the triangular sign?
99. ### Pre calc quick question

if a problem says f(x)=square root x^2-16; x less than or equal to -4. Find domain and range. to do this i set up the equation like x^2-16 less than or equal to -4. However by doing this I am runnning into complications findng domain and range. Am i doing it wrong can someone ...
100. ### MATH: Pre-Cal/Trig

The length of a rectangular flower garden is 6 more feet than its width. A walkway 3 feet wide surrounds the outside of the garden. The total area of the walkway itself is 288 square feet. Find the dimensions of the garden.