### Finding Slope and Intercepts

Find the slope and intercepts of the given line and draw a graph. X+3/-5 + y-1/2 = 1

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Find the slope and intercepts of the given line and draw a graph. X+3/-5 + y-1/2 = 1

H(u)= ^4 to the square root of u^2-4

Please see the attached file for full problem description.

Please see the attached file for full problem description. --- Let S denote the closed cylinder with bottom given by z=0, top given by z=4, and lateral surface given by the equation x^2 + y^2 = 9. Orient S with outward normals. Determine the indicated scalar and vector surface integrals.

Find dy/dt of the function y= 2/(2t^3-5)^4 Could you please explain each step required to complete this question?

Evaluate the iterated integral (See attached) SEND ANSWER AS ATTACHMENT

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Tangent and Normal (III) (Differential Calculus) Find ds/dr for the curves: (a) r = a? (b) r = a/? See attached file for full problem description.

Tangent and Normal (II) (Differential Calculus) Find ds/d? for the curves : (a) r2 = a2cos2? (b) rn = ancosn? See attached file for full problem description.

Find the General Solution of the equations. (a) r = a2t (b) r - 3as + 2a2t = 0 where r = ∂2z/∂x2 , s = ∂2z/∂x∂y, t = ∂2z/∂y2 (c) (2D2 + 5DD′ + 2D′2)z = 0 (d) ∂3z/∂x3 - 3∂3z/∂x2∂y + 2∂3z/∂x∂y2 = 0

I am having difficulties gaining a solution for the following differential equation of x'=2t3 -6t2 + t1/2. Could I please get assistance with detailing my solution.

Use the method of Lagrange multipliers to find the indicated extremum. You may assume the extremum exists. Find the maximum and minimum values of f(x,y,z) = x + 3y - z subject to z = 2x^2 + y^2

Find the critical points of the given function and classify each as relative minimum, relative maximum, or a saddle point. f(x,y) = x^2 + 2y^2 - xy + 14y

Please see attached file for various questions in Calculus. Thank you for your help.

Laplace Transformation Question. Please see attachment.

Laplace Transformations See attached for questions

Show that equation is of exponential order and not of exponential Order. (please see attachment for details)

Solve (see in attachment) without using partial fraction decompositions. Thanks you

Solve y(t) + int [(t-tau)*y(tau), tau=0..t) = exp(t).

What are the domain and range and x intercepts of the function? Approximate to two decimal places. y=-x^2-20x-3

The total profit in dollars for the sale of n microwave ovens is given by p=-2n^2+140n-174 what value of n will provide the maximum profit. Please show all work including the line graph.

Find the domain, range and x intercepts of the following problem approximate to two decimal places of the function y=3x^2-30x+5

Dont really want you to give me answer, just thoery on how to complete these type of problems. Word problem with calculus Thank You (See Attached)

Please respond with a Microsoft Word document. Thank you. Please see attachment for actual questions and full formulas. 1. Decide whether Rolle's Theorem can be applied to on the interval [-1,3]. If Rolle's Theorem can be applied, find all the values, c, in the interval such that . If Rolle's Theorem cannot be a

Please respond with a Microsoft Word document with the answers written in standard text. Thank you. Series of Various Calculour Questions Attached.

Using covolution, find the solution of the differential eq y"+4y'+13y=(1/3)e^(-2t)sin3t y(0)=1, y'(0)=-2

Consider the forced harmonic oscillator: y'' + by' + ky = g(t) + y0 where the forcing is made up of two parts, constant forcing (y0) and forcing (g(t)) that changes over time. a) Let w(t) = y(t) - y0/k. Rewrite the forced harmonic oscillator equation in terms of the new variable w. b) In what ways are the solutions of the t

Please see attached

Please see the attached file for the fully formatted problem. Find a general solution on (-pi/2, pi/2) to y'' + y = tan x given that S secx dx = ln |sec x + tan x|.

Given that the differential equation y^n + p(x)y' + q(x)y = r(x) attached has three solutions of sin x, cos x and sin 2x. Find yh (yh is the corresponding homogeneous solution). See attachment for better formula representation.