1. Amplitude: 5 Contains the point: (0,6) Midline: y=1 Period: 3

Q: +2x (D³ – 4D’D'+ 5DD" - 2D") z=e** + Vy +x.

A: Given PDE is D3-4D2D'+5DD'2-2D'3z=ey+2x+y+x We can write it as D-D'2D-2D'z=ey+2x+y+x             (1)…

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Q: Determine all the singular points of the given differential equation. ( -2) x+(t+1)x'-(t-2)x=0…

A: For a  general homogeneous second order linear differential equation y′′+P(x)y′+Q(x)y=0 If either…

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Q: Colcul.ate and simplify the Wronokian: w Cez^sinx -2X -2X cosx)

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Q: Please solve the given non homogeneous heat equation ut(x,t) = uxx(x,t) − x u(0,t) = 0 u(1,t) = 0…

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Q: James wants to buy a car that costs $14,550. The dealership will finance the car for 5 years, at…

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Q: 4. Evaluate where C is a simple clos upper are of the unit cir

A: Greens theorem is used

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. O…

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Q: The directional derivative of the field u(x, y, z) = x² – 3yz in the direction of the - vector (i +…

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Q: rm needs a computerized machine tool lathe which costs $58,000 and requires $12,800 in maintenance…

A: Given that your firm needs a computerized machine tool lathe which costs $58,000 and requires…

Q: Let C2 be the curve defined by R(t) = (t² + t + 3, 4t – 5,2 +t – t²), t e [0, 1]. Evaluate | (x + y+…

A: The solution is given as

Q: Determine if the series is telescoping: 9 Σ 2 n = 1 nº +3n If the series does telescope, find its…

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Q: f(x) = xe* - sin²x Direct Search Method @ x, = 0.5; x2 = 1

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Show that y=x² is asolution to: xy- 3xy'+4y=0, and then use reduction of order to find a second…

A: Linearly independent solutions of the differential equation

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Q: WhackAmole has 5 million shares of common stock outstanding, 4.0 million shares of preferred stock…

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Q: le can be an equilateral

A: False  statements is - An right angle triangle can be an equilateral triangle

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider…

A: We have to evaluate  limx→∞3x−23x+53x+1. If we substitute the limit then we will get 1∞, which is…

Q: (2) Find all connected covering spaces of RP2 v RP².

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. 4 y…

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Q: 14 if z +i 3. Let f(z) = 8i if z = i (a) Calculate limf(z) using properties of limits. (b) Use the…

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Q: Question 2. functions f : [0, 1] → R. Define an integral norm || · ||i by Let C[0, 1] represent the…

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Q: Let f(z) = ((z – 3i)² + 9)ez-3i The Laurent series representation of f (z) in the domain 0 < |z –…

A: Given function is fz=z−3i2+9e1z−3i. We have to find the Laurent series representation of fz in the…

Q: Use Eceler's formula to express the function:7x) =xarsinx as the sum of a real andd imaginary…

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Q: Mary took out a loan for $46,000 for her daughter's wedding. She can borrow the money from a bank…

A: To determine the monthly payment if the loan amount is $46000 and interest rate is 6.25% and the…

Q: The charactersitic equation of a 2nd order, constant coefficient differential equation is p(x)=x^2,…

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Q: Determine if the sequence converges or diverges. If the sequence converges, find its limit: en + 1…

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Q: Q1: Find partial derivatives of the function with respect with each variable 1) f(x, y) = 2x² – 3y –…

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Q: what is the notation in sequences? Expaln it.

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Q: Evaluate the following limit: sin(2z) lim (3x + 1) z2 To help you read the problem, the fraction in…

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Q: Find the volume of the solid that lies within both the cylinderx + ye = 1 and the sphere x +y + 2 =…

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Q: N5xy-2y 0, Xo = 4

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Q: Use color theorems to show that the chromatic number of a USA graph is four. Please explain why the…

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Q: How many random errors of magnitude plus of minus one would be necessary to have 35 different ways…

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Q: Given L1 hit time is 2 clock cycle. L1 hit rate is 75%. L2 hit time is 5 clock cycles. L2 hit rate…

A: The solution is given below

Q: For the figure, do a dilation centered at the origin with a scale factor of -. Then answer each…

A: a) Longest side of orignal figure is 8 units. Now after dialation with scale factor of 14, longest…

Q: (a) Every continuous map S2 → RP² is homotopic to the constant map.

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Q: B. Simplify the following compound statements using the laws of equivalence Statements Reason: (bAd)…

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Q: 2. Use Laplace transform to solve y" + y = 6(t – 27) cos(t) y(0) = 0, y'(0) = 1 %3D %3D

A: We have to find the solution of the given initial value problem. y"+y = δ(t−2π)cost With initial…

Q: As a spring ages, its spring "constant" decreases in value. One such model for a mass-spring system…

A: Given that x''t+3x't+3e−txt=0 and, x0=3, x'0=0 To find the first four nonzero terms in a power…

Q: r1(t) = (3, –6, 2) +t (-4, 2, –4) r2(t) = (-3, 3, – 10) + t (2, 1, 0) Find the point of…

A: Lines r1 and r2 can be rewritten as follows:

Q: Show that rcjs0 = rcjs(-0)

A: Disclaimer: Since you have asked for hand written solution and currently we are not providing any…

Q: Show that the first graph below can be contracted to the second graph.

A: The graph given is as follows: We are asked to show that the above graph can be contracted to the…

Q: a n+1) %3D 2n Ans. Converges, 6)

A: Since you have posted a multiple  question according to guildlines I will solve first (Q6) question…

Q: A group of 175 college students who took math last term were interviewed. They were asked whether…

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Q: Using Eigenvalues and Eigen Vectors shve Cthe System: *C) =4メ+ y'4) =-2x *24 A=

A: Use the given matrix.

Q: Find the volume of the 'ice-cream' that is bounded by x2 + y2 + z2 = 95 and the upper cone z2 = 4x2…

A: We have to find the volume of the 'ice-cream' that is bounded by x2 + y2 + z2 = 95 and the upper…

Q: Which of the following is NOT true about triangles? The longest side of any given triangle is called…

A: Solution