# Pre- Calculus

21,894 results, page 94
1. ## calculus

finding limit using epsilon and delta of lim x->2 x^3-3x+7=9..plz anyone solve it for me....
2. ## Calculus

Use the substitution x=3tan() to evaluate the indefinite integral 93dx/(x^2sprt(x^2+9))
3. ## calculus

If x^2 + y^2 = 100 and dy/dt = 6, find dx/dt when y = 8. (Enter your answers as a comma-separated list.)
4. ## calculus

f(x)= -7(cos(s^3))(tan(s^2)), find f'(x). I got 21s^2cos(s^3) x 2s(sec^2(s^2)) but it is wrong...
5. ## Grade 12 AP calculus

You are using Newton's method to solve x3-5x-2=0. If your first guess is x1=2, what value will you calculate for the next approximation x2?
6. ## Calculus

If 3(a,3,2)-2(3,b,b)=(-3,1,-2) determine a and b. Describe the set spanned by the vectors. I don't know how to answer this
7. ## Calculus

Integrate sqrt(x^2 + x) dx I have completed the squares and got x^2-x = (x+1/2)^2 -1/4 Now i don't know how to proceed, plz help me!
8. ## calculus

Find the value of x where Y= 5^2x * e^(3x^2) has a horizontal tangent. Is this point a Max, Min or plateau?
9. ## Calculus 2

Does Series n=1 to infinity 1/2n+1 converge or diverge? I'm thinking it converges, because p would be < 1 right? I'm a little confused.
10. ## calculus

If f(2)=-3, g(x)=f^-1(x), what is the equation of the tangent line to g(x) at x=-3? I don't know how to find g(x), if you can help me with that, then I think I can do the rest of the problem
11. ## Calculus - Special sum formulas

Find the formula of n Σ (j+3)(j-4) j=1 I have gotten to n(n+1)(2n+1)/6 - n(n+1)/2 - 12n How do I simplify it from there?
12. ## Math Calculus

Find critical points and extreme values on the interval [-1,5]: f(x)=|x^2-4x+3|
13. ## calculus - identities

prove this identity: sec(y) - cos(y)= tan(y)sin(y) THANK YOU!!
14. ## calculus

Find any critical numbers of the function h(x)=sin^2(x)+cos(x) 0 < x < 2π
15. ## Calculus

Find an equation of the tangent line to the given curve at the specified point: y=sqrt(x)/x+1, (4,2/5)
16. ## Calculus II

find the distance between the given parallel planes 5x-5y+z=10 and 10x-10y+2z=2. I got 9sqrt51/51
17. ## Calculus

10) Evaluate the integral by making the given substitution. ∫sec(5x)tan(5x)dx u=5x
18. ## Calculus

How would I go about finding the limit of this sequence: (e^(2n)+6n)^(1/n) Please explain the steps, it'd be super helpful! Thanks!
19. ## Calculus

Write an expression for y = f(x) by solving the differential equation dy/dx = x√y with the initial condition f(3) = 25. I got y = (x^2/4 + 11/4)^2.
20. ## Calculus

for a normal curve what percentage of values falls beyond two standard deviations from the mean
21. ## calculus

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

Approximate the sum of the series correct to four decimal places. n=1 to infinity (-1)^n/4^n*n!
23. ## calculus

Find the points on the curve y=(cosx)/(2+sinx) at which the tangent is horizontal.
24. ## Calculus 1 Integration Trig Inverse

integral of (4/(x times the square root of (x^2-1)) + (1+x+x^3)/(1+x^2)dx
25. ## Calculus

The integral from 1 to 5 of 1/x^2*(times) the square root of 1+(1/x)dx. i've had tried this problem over and over again and cannot get the correct answer. Please help. thanks
26. ## Calculus

What are the x-coordinates of the points of inflection for the graph of f(x)sin^2x on the closed interval [0,pi]?
27. ## calculus

I am having trouble with this problem also derivative differentiate f(x)=(3-x)^4(x+5)^3 so far I have 4(3-x(x+5)^3+3(x+5)(3-x) Not quite right. Treat it as d/dx[u(x) + v(x)] = u dv/dx + v du/dx u(x) = (3-x)^4 v(x) = (x+5)^3 du/dx = -4(3-x))^3 (using the
28. ## calculus

Find the domain for the particular solution to the differential equation dx/dy=1/2x, with initial condition y(1) = 1.
29. ## Calculus

Solve the equation (3^x)^2-12*3^x+27=0 Simplify and write without negative exponents: 3^2(x^-2y^3)^3/4^1/2*x^-4cuberooty^2
30. ## Calculus

Find the equation of the tangent line to the curve y=2tan(x) at the point (pi/4,2).
31. ## calculus

Find the exact area of the region bounded by the -axis and the graph of (x^3)-x
32. ## Calculus

If f(x) = (cos x)(esin x ), then, correct to the nearest hundredth, f '(2.0) = The answers suppose to be 0.86 but i always get -1.83
33. ## Calculus

Prove the identity and give its domain. 4sinxcosx+sin4x=8sinxcos^3x
34. ## Calculus

How do you find the original function given the equation of a tangent line and two points?
35. ## calculus

Find the exact values of x if 0<=x<=pi and 2sin^2(x)-sinx-2sinxcosx+cosx=0
36. ## Calculus

I'm having trouble with this one. Problem: Find the equations for the planes parallel to x+2y-2z=1 and two units away from it.
37. ## Calculus

Find the equation of the line that is tangent to the curve x(t) = t^2+1 and y(t)=t^3-1 at the point (5,7). I get a slope of 7.5.
38. ## Calculus

Use L'Hoplital's rule to find the limit. Lim x->0 (3-3cos(x))/(sin(4x))
39. ## calculus

dont get it write intervals for the function sin(x)/1-cos (x) is continuous on.
40. ## Calculus III

Derivative of Inverse Trigonometric Functions f(x) = sin(arccos(4x)) What is f'(x)?
41. ## Calculus

Write a vector equation AND parametric equations of the line through the points A(6,-1,5) and B(-2,-3,6)
42. ## Calculus

If b is a positive constant, find the average value of the function f defined by f(x) = x2 + bx + 1 on the interval [-1,1]
43. ## calculus

If a store credit account charges 1.2% interest each month, what is the APR?
44. ## Calculus

Find the derivative of the function y defined implicitly in terms of x. y = √(xy+ 9)
45. ## Calculus

Find the derivative of the function y defined implicitly in terms of x. y = sqrt(xy + 9) Please help! Thanks! :)
46. ## Calculus

Consider the function y=7+5cos(8x) What is the amplitude? What is the period? What is the largest value the graph takes?
47. ## calculus

the tangent to the curve y=a/x +bx at (1,3) is parallel to the line whose equation is y=2x+1. find the values of a and b.
48. ## CALCULUS

Find and classify all locsl extreme values of each given function.(no decimals) (a) g(x)=e^(2x)+e^(-x) (b) g(x)=x^(2/3)*(x^(2)-4)
49. ## elements of calculus

write the equation of the line tangent to the curve y= 3x^3- 2x at the point where x=2
50. ## Calculus

Find if the limit exists. lim tan(x)/x x->0 Please show how you determined this. Thanks!
51. ## calculus

find the area the region bounded by the graphs of the given equation y=81x,y=x^5,x=0,x=3
52. ## Calculus

Find the equation of the tangent line to the curve (a lemniscate) 2(x^2+y^2)^2 = 25(x^2-y^2) at the point ( -3 , -1 )
53. ## Calculus

First make a substitution and then use integration by parts to evaluate. The integral of (x)(ln(x+3))dx What do you substitute first?
54. ## Calculus

Find the length of the parabola y^2=4ax cut off the line x=a about the x-axis
55. ## calculus

Evaluate the integral. Express your answer using words or symbols. ç(-2sin x) dx
56. ## Calculus

Ba has a half-life of 283.2 hours. How long would it take for the 50 mg of Ba in a sample to decay to 1.0 mg?
57. ## Calculus

Show that volume of the solid generated by revolving y=1/x between x=1,2x=infinity about x-axis
58. ## CALCULUS

Find the relative extrema of function. f(x,y)=x2+3xy+y2-10x-20y+12
59. ## Calculus 1

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

Approximate the sum of the series correct to four decimal places. n=1 to infinity (-1)^n/4^n*n!
61. ## 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
62. ## Calculus

Find the area of the region between the curves y=8−x^2 y=x^2 x=−3 and x=3 I made a slight correction
63. ## calculus

Find the second derivative of the volume of a cube with respect to the length of a side
64. ## Calculus

For approximately what values of x can sinx be replaced by x - x^3/6, with an error of magnitude no greater than 8 * 10^-3?
65. ## CALCULUS

Find the gradient and directional derivative of f at P in the direction of v: f(x,y)=ln(x^2 + y^2 +1)+ e^(2xy) P(0,2) v=5i-12j
66. ## calculus

find if the series is convergent and what it sums to the sum from k=3 to infinity of (k+1)^2/((k-1)(K-2)) I'm not sure how to start
67. ## Calculus 1

Evaluate the difference quotient for the given function. Simplify your answer. f(x) = 1+2x− x^2, (f(4+h)-f(4))/h
68. ## calculus

find the average value of the function f(x,y)=xe^y over the plane region R is the triangle with vertices (0,0), (1,0) and (1,1)
69. ## math

Use part I of the Fundamental Theorem of Calculus to find the derivative of g(x)= integrate from 9x to 4x of ((u+4)/(u-1))du
70. ## calculus honor

If y = 2x3 – 4x and , find when x = 1. Give only the numerical answer. For example, if = 3, type only 3.
71. ## calculus

Find the volume of the solid formed by revolving the region bounded by y=1-x, y=x-4, x=0 about x=7
72. ## calculus

What is an upper bound on the absolute value of the error: |sum from n=1 to infinity of ((-1)^(n+1))/(n*5^n)) -.1826666...| ?????
73. ## Integral Calculus

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

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

find the average value of the function f(x,y)=xe^y over the plane region R is the triangle with vertices (0,0), (1,0) and (1,1)
76. ## Hard Calculus

f(x)= xsquared - 2x Determine whether y= f(IxI) is continous at x= 0 justify your answer
77. ## Calculus

Mt+1= 0.75Mt+2 give the solutions of the dynamical system with Mo=5 i.e determine Mt as a function of t
78. ## Calculus

Find the area between the two curves y1= x^2 - 4x + 5 and y2 = 2x - 3, finding the points of intersection algebraically.
79. ## Calculus

Could anyone please help me figure out the discontinuity that is removable of the following function?? Any help would be greatly appreciated! Thanks in advance!!! f(x)=4x/x^2+x-2
80. ## calculus

find the volume of the solid bounded above by the surface z=f(x,y) and below by the plane region R f(x,y)= 4-2x-y; R{(x,y)0<x<1;0<y<2
81. ## College Calculus

What is the integral of cos^6x? I tried half angle identities but it didn't really help...
82. ## Calculus check

Find the equation of the line tangent to y=tan2x at x=pi/8 A. y-1=sqrt(2)(x-pi/8) B. y-1=1/2(x-pi/8) C. y-1=1/4(x-pi/8) D. y-1=2(x-pi/8) E. y-1=4(x-pi/8) I got A
83. ## Calculus

Determine if the planes in each pair are parallel and distinct or coincident. a) 5x - 2y + 4z = 7 5x - 2y + 4z = -3 b) 7x - 3y - z = 9 21x - 9y - 3z = 27
84. ## Calculus

Find any relative max or min points of the given function y=3x^2+12x+17 So far, I have: y'=6x+12=0 2(3x+6)=0 x=-2
85. ## calculus

let f(x)=0.5x^3-4x^2-2x+5.a.use n deriv to graph f(x),f'(x),f"(X)on the window xmin = -5,xmax=10,ymin= -50,ymax= 10
86. ## Calculus

Find the equation of the line tangent to the given curve with the given slope y=(1/3)x^3+2x^2+5, m=-4 I'm stuck. So far, I have: y'=x^2+4x x^2+4x=-4
87. ## Calculus

the points a, b, c, d, e, f, g are equally spaced along a line. Name a vestor which is equal to 3BD
88. ## calculus

Find the equations for the lines tangent to the ellipse 4x^2+y^2=72 that are perpendicular to the line x+2y+3=0
89. ## calculus

Find the volume of the solid obtained by revolving the graph of y=7x*(4-x^2)^(1/2) over [0,2] about the y-axis
90. ## calculus

What is the limit, as x approaches 1, of (sqrt(x) - 1)/(x - 1)? I need to show work, but I know the answer is 3/2, because I confirmed with a TI-89.
91. ## Calculus

Find an equation for the tangent line of the function f(x)=6+10xe^x at the point (0,6).
92. ## Calculus

find the derivative of f(x)=((x^2+3)^5+x)^2 using the chain rule. I know that I would start with f'(x)=2((x^2+3)^5+x) but I don't know how to do the rest
93. ## Calculus grade 12 lines and planes

Find the value of k so that the line [x,y,z] = [2,-2,0]+ t[2,k,-3] is parallel to the plane kx +2y - 4z= 12
94. ## Calculus I

Section is Integration by Substitution: Evaluate the indicated integral. x^2 sec^2 x^3dx
95. ## calculus

find equations of the tangent lines to the curve y=(x-48)/(x+48) that are parallel to the line y=6x+6
96. ## Calculus

If position is given by p(t)=t^2 +1, find the velocity v(t) at t = 2. I'm completely lost as to where to even start with this problem.
97. ## Calculus

Let f(x,y)=sqrt(1-x^2) and R be the triangular region with corners (0,0), (1,0), and (1,1). Evaluate the double integral(R) f(x,y)dA.
98. ## Calculus

Consider the vector field: F(x,y)=2xyi+x^(2)j Integrate F over a path starting at (0,0) and ending at (2,2).
99. ## Calculus

Graph the integrands and use areas to evaluate integrals (integrate(3&-3)) root(9-x^2) dx
100. ## physics

what is the displacement of the ball? i.imgur. com/8ljWh . png i don't know calculus!