### Limits

Please answer the attached questions. On question #3 the last two mutliple choice options didn't scan they are: c.Yes, the limit exists, and is equal to -1. d. Yes, the limit exists, and is equal to 0.

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Please answer the attached questions. On question #3 the last two mutliple choice options didn't scan they are: c.Yes, the limit exists, and is equal to -1. d. Yes, the limit exists, and is equal to 0.

Suppose and have radii of convergence R1 and R2, respectively, where R1 and R2 are non-zero real numbers. What can be said about the radius of convergence of the following series. Justify youtr answers, ? ? ? ? , where Please see the attached file for the fully formatted problems.

Please solve the following differential equation, showing all steps and substitutions. Thank you. tanθdr/dθ + r = sin²θ

Please solve the differential equation below. Please show all steps. dy/dx=(2x²+1)/(xe^y)

Please solve the differential equation: dy/dx=x²√y, y>0

Please find the initial value of this problem: d³θ/dt³=0; d²θ/dt²= -2; dθ/dt= -½; θ;=√;2 when t=0 Please show all steps. Thank you

I am asked to find the initial value. The given information is: d²y/dx² = 0 dy/dx=2 y=0 when x=0

I need help with the problem! xy' + xy + 2y - 2e^(-x) = 0 I had a hard time figuring out how to solve it... please help!

(1 + x^2 + Y^2 +(x^2)(y^2))dy = (y^2)dx

(y^2 + yx)dx + x(^2)dy=0

Please answer the following questions: The Present value of money is the amount that you need to deposit now in order to have a desired amount sometime in the future . 1. What is the present value needed in order to have saved $60,000 in five years, given an annual interest rate of 7% compounded monthly? 2. What is the

Refer to figure 2 in attachment. a) Write the equations of motion for the mechanical system.****PLEASE SHOW YOUR FREE-BODY FOR EACH MASS****THANKS B) Take the Laplace transform of these equations, arrange them in matrix form, solve for the displacement x2(t), and find the transfer function T(s)= X1(s)/F(s) C) Using the co

The function is given by the formula f(x) = (5x3 + 16x2 + 12x + 27)/(x + 3) when x<-3 and by the formula f(x) = -5x2 - x + a when -3=< x. What value must be chosen for a in order to make this function continuous at -3?

How does a bonds value change with the interest rate?

X'' + 2x' + x = 5exp(-t) + t for t greater/equal to zero; x(0)=2; x'(0)=1 and identify critically damp, over-damped or under-damped (overdamped or underdamped). thank you

Prove the given identity - Please explain in detail. 14. 2 cos x - 2 cos^3x = sin x sin 2x 16. cos (x-y)/cos x cosy = 1 tan x tany 20. sec x -cos x = sin x tanx 22. sin 2x = 1/tanx +cot 2x 23. If tan x = 5/12 and sin x>0 , find sin 2x 26. If sin x = -12/13 with pie <x<3pie/2, and sec y = 13/12 with 3 pi

1. cot²x-cos²x = cos²xcot²x 2. cotx = cscx/secx 3. tanx = sq.rt. sec²x-1 4. sinx/1-cotx + cosx/ 1-tanx = cosx + sin 5. cotx-1/1-tanx = cscx/secx 6. cosxsiny = 1/2 (sin(x+y) - sin (x-y))

Find the limits using L'Hopital's rule where appropriate. If there is a more elementary method, consider using it. If L'Hospital's rule does not apply explain why. 1) lim as x approaches -1 (x^2 -1) / (x + 1) 2) lim as x approaches -1 (x^9 -1) / (x^5 - 1) 3) lim as x approaches -2 (x+2) / (x^2 +3x + 2) 4) lim as x approa

For the following graph the given functions on a computer screen, how are these graphs related? 1) Y=2^x, y=e^x, y=5^x, y=20^x 2) Y=3^x, y=10^x, y=(1/3)^x, y=(1/10)^x _______________________________________________________________________ Make a sketch of the function. 7) y=4^x-3 8) y=-2x^-x 9) y=3-e^x 13)

Please solve each problem with a detailed solution showing each step to solve the problem. Since the symbols confuse me at times please use "baby" math to show how to get from the start to the end. I understand the book in some ways, but the more I see completed the better I can think about the rest of the problems I need to d

Please show the steps necessary to solve: ∫ dx ∕ (x - 2 )√(x² - 4x + 3)

Show that the differential equation is not exact. It can be made exact by multiplying throughout by , where m and n are integers. Find m and n and hence, or otherwise, solve the equation. Please see the attached file for the fully formatted problems.

A) Solve the following differential equation by as many different methods as you can. (See attachment for equation) b) There is a type of differential equation which will always be solvable by two different methods. What type of differential equation is it and which other method can always be used to solve it? ---

1. Please see the attached file for the fully formatted problems. a) Use separation of variables to solve b) Solve the following exact differential equation c) By means of substitution y=vx solve the differential equation d) By means of the substitution for approipriate values of and , solve the d

Find the rate of change of the function f(x) = 2x - 9 over the interval x=-1 to x=12.

2. Use any method for xy'=2y-3x

Verify the integral formula with the aid of residues. 1.) Show that the p.v. of the integral of (x^2+1)/(x^4+1) from 0 to infinite = (pi)/(sqrt 2). Note: p.v.=principal value; pi is approximately 3.14; sqrt 2=square root of 2 Please show all work and explain the steps, especially how you found the zeros of the

Could some one please help me with the problem and provide all the steps. y'' + y = SQRT2 * Sin (tSQRT2) with y(0) = 10 and y' (0) = 0

Could someone please help me with the problem and show me all the steps? (See attached file for full problem description). dy/dx - (xy + 2y - x - 2)/(xy - 3y + x - 3)

Find the Hessian. See attached file for full problem description.