# Pre- Calculus

21,892 results, page 96
1. ## Calculus AB

Find the equation of the line tangent to the curve at t=pi/3: a) x=t-sin(t) b) y=1-cos(t)
2. ## Calculus

The following Summation 1 2 1 2 1 2 ------ x - + ------ x - + ------ x - 1+(2/n) n 1+(4/n) n 1+(6/n) n is a right Riemann sum for this integral ç f(x)dx With subintervals [1,3] can someone help me solve for the inegrand which is f(x).?
3. ## Further maths

Differential calculus using product rule pls with detailed explanation (2x+3)^3(4x^2-1)^2
4. ## calculus

dy/dx=(1+Lnx)y and if y=1 when x=1, then y=? i know i have to find the integral by multiplying dx to the other side and bringing y to left. and i got Ln(y)+ C = x + 1/x + C what do i do next. ln(y)=x+1/x+c e^(ln(y))=e^(x+1/x+c), so y= e^(x+1/x+c) y=
5. ## Calculus

Find the dimension of a rectangle with perimeter 295 whose area is as large as possible
6. ## Calculus

Express the quadratic function y=-2/3x2-12x-11 in standard form?
7. ## calculus

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

write the equation of the line tangent to the curve y= 3x^3- 2x at the point where x=2
9. ## 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.
10. ## Calculus

(3) Suppose that f : R2 → R is a continuous function at x0 ∈ R2 and that |f(x0)| > 2. Show that there is a \$ > 0 such that |f(x)| > 2 whenever ||x − x0|| < \$.
11. ## Calculus

Find the points on the curve y=x^3-4x^2+1 where the tangent is parallel to y+4x=0. y'=3x^2-8x y+4x=3x^2-8x y=3x^2-12x y=3x(x-4) Ya... I need some help The answers are (2, -7) (2/3, -67/27)
12. ## Calculus I

Using Newton's Method, determine the first approximation to the solution of: e^(4x)= 10-2x starting with x=0 what is x1= ??? P.S. ( the 1 is a subscript )
13. ## Calculus

y = g(x) = cos(x) Can someone show how to estimate g'(pi/2) using the limit definition of the derivative and different values of h. Thanks!
14. ## calculus

Find the angle ABC, if A = (4, –3, –1), B = (0, 0, 0) and C = (–2, –3, 5) Could you lead me in the right direction I don't know where to start
15. ## 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 )
16. ## 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
17. ## Calculus (double check my anser please)

Evaluate integral e^3x cosh 2x dx. A.1/2 e^5x + 1/2 e^x + C B.1/10 e^5x + 1/2e^x + C<<< my answer C.1/4e^3x + 1/2 x + C D.1/10 e^5x + 1/5 x + C
18. ## Calculus

find the exact value of sin 11pi/12 using the sum or difference formula.
19. ## Calculus

A cost function is given by: A'(x)= 2x^2/x^2-211/x^2. For what values is A(x) increasing and decreasing? Any help would be appreciated
20. ## Calculus

Find the work done by F(x,y,z)=(x^2y)i=(x-z)j+(xyz)k where c=(t)i+(t^2)j+(2)k, 0<t<1. The answer is supposed to be -17/15, but i keep getting -13/10. Any help on the process would be appreciated.
21. ## Calculus

Find the arc length of the curve described by the parametric equation over the given interval: x=t^(2) + 1 y=2t - 3 --> 0<t<1
22. ## Calculus

Find the area of the region bounded by the graphs of y = x, y = 6 - 2x, and y = 0. (4 points) 3 6 9 None of these Please help I don't know how to do this
23. ## 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?
24. ## Calculus

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

Find an equation of the tangent line to the curve at the given point. y = 6e^x cos x, (0, 6)
26. ## calculus

what is the interval notation for solution set of the inequality x^2+16x is less than or equal to 0
27. ## calculus

find the area of one of the regions bounded by the curves y=sin x and y=cos x
28. ## calculus

limit as x approaches negative infinity for the function (-x)/(sqr root (x^2-36))
29. ## Calculus

What is the connection between improper integrals, Riemann sums, and the integral test?

For the function f(x) = 1/(x2+14x-42) there are two vertical asymptotes. Determine the x-coordinate of each one
31. ## Calculus

Solve without a calculator. cos(arcsin (3x/2)) I made a triangle but im stuck after that..
32. ## Calculus Help

Determine the point at which the graph of the function has a horizontal tangent line. f(x) = (9x^2)/(x^2+6)
33. ## Calculus

Which of the following functions grows the slowest as x goes to infinity? x^e e^x ex they all grow the same rate. I think it is c because it does not have any exponents.
34. ## 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]
35. ## calculus

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

find the highest or Lowest point on the surface z=3x^4+4x^3+6y^4-16y^3+12y^2
37. ## 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
38. ## 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
39. ## 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.
40. ## Calculus help

f(x) and g(x) are a differentiable function for all reals and h(x) = g[f(5x)]. The table below gives selected values for f(x), g(x), f '(x), and g '(x). Find the value of h'(1). x 1 2 3 4 5 6 f(x) 0 3 2 1 2 0 g(x) 1 3 2 6 5 0 f '(x) 3 2 1 4 0 2 g '(x) 1 5
41. ## calculus

sketch the graph of the line defined by y 2 +4 using the dual-intercept method.
42. ## Calculus

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

With the following coordinates (16,46) (18,64) (20,60) create three formulas using Y+Ax^2+Bx+C then solve for A,B, and C to form the final equation.
44. ## Ap calculus

Find the equation of the tangent line to the curve g(X)= 2cos(2X)/(3X) at the point x= pi/3
45. ## Integral Calculus

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

Hi! Thank you very much! My question is: how do you find the antiderivative of 1 / (square root[1-(x^2)]) aka antideriv( [1/(x^2)] ^ -1) THank you!!
47. ## Calculus

Find the equation of the line tangent to f(x) = xe^-x at the point where x = 0. What does this tell you about the behavior of the graph when x = 0?
48. ## Calculus

Find all points at which the graph of f (x) = x^3 −3x has horizontal tangent lines.
49. ## Calculus

Evaluate as limit approaches 0. (Without using l'hopital's rule. ( Sqrt(4+sin(x))-2 ) / (3x)
50. ## 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
51. ## Calculus

Find the particular solution that satisfies the intial condition: xdy - (2xe^(-y/x)+y)dx = 0
52. ## calculus

Whats the slope of the tangent to the curve y=7/(square root of x) at the point where x=a>0?
53. ## calculus

Whats the slope of the tangent to the curve y=7/(square root of x) at the point where x=a>0?
54. ## HELP CALCULUS

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

find an equation of the tangent line to the curve at the indicated point. y = -(x^1/3); (8, -2)
56. ## calculus

f(x)=3-5x , (-1,8) find the slope of the tangent line to the graph of the function at the given point
57. ## calculus

Find the values of a and b that make f continuous everywhere. (Enter your answers as fractions.) x^2-4/x-2 x<2 f(x)= ax^2-bx+5 2¡Üx<3 2x-a+b x¡Ý3 a= b=
58. ## 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.
59. ## 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.
60. ## Calculus

Estimate the area under the graph of f(x)= x^2 + 2 x from x=1 to x=5 using 4 approximating rectangles and left endpoints.
61. ## Calculus

Find the equation of the line tangent to F(x) = xe^-x at the point where x = 0. What does this tell you about the behavior of the graph when x = 0?
62. ## Calculus 1

Could you please explain how to find the slope using the definition of derivative of the function y=2*sqrt(x)
63. ## calculus

I posted one before but this is another one of those problems that i need help with! I don't know how to approach this one at all! Please help use the definition of the derivative to find f'(x) when f(x)= (4/x^2)+(2/5*x)
64. ## Calculus 1

y= 3/x^3; [1,3] Find the area under the graph of the function over the integral given. The book answer is 4/3
65. ## Calculus

Using L'Hopital's Rule, find the limit: lim x->0+ (as x approaches 0 from the right) of sinx/x^(1/3)
66. ## Math - Calculus III

Find the double integral of f (x, y) = (x^7)y over the region between the curves y = x^2 and y = x(3 - x).
67. ## calculus

Evaluate the following line integral: ∮C[(4x^2+3x+5y)dx+(6x^2+5x+3y)dy] where C is the path around the square with vertices (0,0),(2,0),(2,2) and (0,2).
68. ## Calculus

Find the integral of x times the square root of (400-100x^2)dx
69. ## MATH Calculus Homework

Find the area of the region between the curve y^2=4x and the line x=3.
70. ## Calculus

What is the 4 step process when finding the slope of the tangent line at any given point?
71. ## Calculus

find the volume of the solid formed by rotating the region enclosed by y=e^(1x+4), y=0, x=0, x=0.9
72. ## 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.
73. ## Calculus:)

Find the area of the region enclosed by y−2x^2≥0 and |x|+|y| ≤ 1
74. ## Calculus

Find the area of the region enclosed by y−2x^2 ≥ 0 and |x|+|y| ≤ 1
75. ## Math calculus-Trig

Find the area bounded by the curve and the lines y = -x^2 - 4x; y = 1; x = -3; x = 1
76. ## 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!
77. ## calculus

What are the dimensions of a rectangular field of area A that requires the least amount of fencing.
78. ## calculus

Find the slope of the line secant to the following function passing through the given x-values: f(x) = x3 + 5x; x = 3 and x = 6
79. ## Calculus

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

Suppose that f (x) is a function such that the relationship given below is true. f (3 + h) - f (3) = 9h^2 + 8h (a) What is f '(3)? (b) What is the slope of the secant line through (3, f (3)) and (7, f (7))?
81. ## calculus

Show that the equation;x+3sinx=2 has a root between x=0.4 and x=0.6 using newton raphson's formular only
82. ## 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
83. ## Calculus:)

Find the area of the region enclosed by y−2x^2≥0 and |x|+|y| ≤ 1
84. ## calculus

find the derivative of the following: 3x^2 ln(2x) e^2x ln√x+3 please try and show few steps and laws of logarithmics.
85. ## calculus

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

how to find surface area of a cylinder with respect to r(radius) and h(height)?
87. ## Math/Calculus

Find the average rate of change on the interval [-6,3] of the function h(x)=x^2-4x+7. A. -7 B. 7 C. 1 D. 13 E. -5
88. ## Calculus III

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)
89. ## calculus

Evaluate the following line integral: ∮C[(4x^2+3x+5y)dx+(6x^2+5x+3y)dy] where C is the path around the square with vertices (0,0),(2,0),(2,2) and (0,2).
90. ## 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
91. ## Pre-Cal

This exercise is based on the following table, which lists interest rates on long-term investments (based on 10-year government bonds) in several countries in 2008. How long, to the nearest year, will it take an investment in Germany(4.3%) to triple its
92. ## Pre-calc

A truck is traveling at 70mph and has wheels with a diameter of 26in. Find the angular velocity in radians per minute. Also find in revolutions per minute. I've attempted this question and am completely stumped. I can't figure out how to make it work with
93. ## Pre-Calc

An airplane’s velocity with respect to the air is 630 mph, and its heading is 𝑁 30° 𝐸. The wind, at the altitude of the plane, is directly from the southeast at 45° and has a velocity of 45 mph. Draw a figure that gives a visual
94. ## Math Analysis (Pre Calc)

A pilot wants to fly 430 miles per hour at 45 degrees north of east, but there is a westerly wind blowing 20 miles per hour. What course correction does the pilot have to make to fly on his desired landing? I wasn't able to figure out any work for this
95. ## Pre Algebra

Suppose you have an after school baby sitting service. You charge a flat fee of \$10 per week plus \$3 per hour. The equation y = 3x + 10 represents your earnings per week for one child. Describe the y intercept. Answer: The y intercept is (0,10) but I'm
96. ## Pre-Alegebra

You spin a spinner that is divided into 6 equals parts once and roll the number cube once. Find the probability that the spinner stops on the same number that you roll the number cube?
97. ## Math(Pre-algebra)

Ok, my question is ‘ last year the price of a certian computer was 150\$ more than it is now. This year's price is 3/4 of last year's price. How much does the computer cost this year?‘. Can someone explain to me how to create an equation for this?
98. ## pre-cal

The angle of elevation from a car to the top of an apartment building is 48 degrees. If the angle from another car that is 22 feet directly in front of the first car is 64 degrees. How tall is the building?
99. ## Pre-Algebra

The Jaspers collect nickels, dimes, and quarters in a jar. When they count the change in the jar, there are twice as many nickels as there are quarters. If there is \$15.30 in dimes and \$74.80 in all, how many quarters are there. Please include an equation
100. ## Pre Algebra Review

Thirty-five students belong to the science club. This 1/4 the number in the 5 sections of the eighth grade. How many students are in the eight grade? How many in each section if each section has the same number of students?