Question 8 Evaluate. The differential is exact. (6, 9, 8) (5x + 1)ex dx + z dy + y dz (0, 0, 0) 6e 30 + 17 6e30 + 73 O 6e30 + 72

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A: Given, A planet P in the xy-plane orbits the star S  in a circle of radius 10 units, completing one…

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Q: Q4: A- solve the differential equations: i- y"-2y'+y = e' ii- (x+1)y'+2(x+1 ! 2+1 x+1

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A: Test for the conditionally convergent or absolutely convergent by limit comparison test

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A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Calculate the value of (1+ 2i)? and then use this value to find the roots of z2 – z + (1 – i) = 0.

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Q: Select all the real numbers M among the choices below such that the two planės glven by 3D2 and ()-…

A: We can solve this by using given information

Q: Prove (p a q) and (T→ (¬ (p →q))) are both wff:

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Q: Given the nonhomogeneous linear DE: y" - 7 y' + 12 y = 30e-2t A) Find the general solution of the…

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Q: Using Green's Theorem, evaluate |(sin z – y) da + (2³ + e") dy where C'is the circle x2 + y = 4.…

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Q: Find all integral solutions of the linear Diophantine equations 6x + 11y = 41

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Q: a. Give the smallest extension of Q that contains all the zeros of x4 - 2x2 – 15.

A: We shall answer first question only as you have asked diff question without mentioning. For others…

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Q: C. Find the moment of inertia about x-axis of a thin plate bounded by parabola (x = y- y) and line…

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Q: d. A graph with four vertices and six edges which is not simple (explain why it's not simple).

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Q: Consider the system of linear equations: X1 + kx2 2x1 + 4x2 = k = 1 4x1 + 8x2 = 4 where k e R is a…

A: System of Linear equations and solution

Q: 6x²+5 Determine the value of lim,→0 x²+3x+7

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Q: Which one of the following series is absolutely convergent? 2(-1)" n2+5 n n=1 00 3 2(-1)"- n=1 n+4…

A: Here all alternating series are given  We just check only series which is convergent    By…

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A: Given: The amount of CO2 emitted per year A (in tons) for a vehicle that averages x miles per gallon…

Q: Solve 4 2 x(0) - 2, y(0) = – 2 17 -2 20 -e (cos (5t) – i sin(5t)) × -3-5i -3+5 .2745098e* (cos (5t)…

A: To solve the below system of linear differential equations. x'y'=42−17−2xy, x0y0=−2−2

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Q: Problem 9. Kirchhoff's current law states that the algebraic sum of all the currents flowing into a…

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Q: Identify a generating curve on the xz-plane for the surface of revolution with equation x? + y? +z?…

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Q: Find the first three terms of the expansion (4 – 2x)°. 4°(1 + 쫄 + 폴 + .) * + +..) Oc 4°(1-쪽 + 폭+ …)…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

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Q: 17. When the price of a laptop computer is $250, 10,000 people are willing to buy it. For each…

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Q: Identify if the sentence,"Give me the keys" is a propostion.

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Q: The accompanying data table lists leading digits of 317 inter-arrival Internet traffic times for a…

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Q: Suppose that a,beG such that a = m and b =n with Gcd (m,n) = 1. Then n | is in mn

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Q: QUESTION 1 Of the following operations, which one is the fastest? a. < O b. / c. + d. X

A: To identify fastest operation.

Q: How did he get the second derivative step by step and a clear line please 3 F(x) = 1+e siny x Fex)…

A: Let fx=1+e-xsin 4x