T:= Define w=1+³,0 = - +₁ and 7 = 1 + . +. Determine Iow,0.7](Q).

Q: Prove the following assertions using a direct proof. d. If x is odd integer, and y is even integer,…

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Q: B)Solve differential equation = (x+y) dx x+siny

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Q: recheck this problem

A: Yes , the solution is correct.

Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i-3j-k, find vector normal to A and In plane of A and, B.

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Q: Working with your equation in standard form, verify the coordinates of the vertex by completing the…

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Q: Spencer manages a store that sells speakers. Each Master Blaster takes 36 hours to create the…

A: We have to find the number of each of the speakers to make the most revenue.

Q: dt dy dt ind the general solution for x(t) and y(t) olve the initial value problem x(0) = 1, y(0) =…

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Q: Find σ(n) if n = 2^k-1 (2^k - 3) where 2^k - 3 is prime

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Q: let a=2+7i b=4-2i Choose the correct result of a/b O (6-361)/20 O (-6+361)/20 O (-6-36i)/20 O…

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Q: 3. Test the convergence of the series an = O Converge O Diverge O Fail test Σ=1 n*+2n²+1 n6 +3

A: 1. Given series is an = ∑n=1∞n4+2n2+1n6+3 Let bn = 1n2 Then limn→∞anbn = 1 Here bn converges ⇒ an…

Q: .L{cos 5x) = p²+25

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Q: - Find normal line and parallel plane to the function f(x, y, z) = x²y²z² — 4 At point (1,-1,2).

A: For a surface given by f(x,y,z)=0 . Gradient vector ∇f=fx,fy,fz will be perpendicular to the surface…

Q: B)Convert r = √2 cos (0-) to cartesian.

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Q: Determine the first three nonzero terms in the Taylor polynomial approximation for the given initial…

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Q: B. Given that f(x) = {(-2,1), (1,4), (2,5), (3,6)} g(x) = 6 + 4x h(x) = -x² + 2 find 1. h[f(1)] 2.…

A: Given that f(x) = {(- 2, 1), (1, 4), (2, 5), (3, 6)} g(x) = 6 + 4x h(x) = - x 2 + 2 1. h[f(1)]/7 =…

Q: 9.6.11 The pink figure is a dilation image of the black figure. The labeled point is the center of…

A: The pink figure is smaller than the black figure. So the black figure has been reduced. So, a…

Q: Convert the following double integral to polar coordinates (do not evaluate). 2 X }} dxdy = 1+ y²…

A: First we put x = rcos(θ) and y = rsin(θ)

Q: 6. Factor fully x³ - 1

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Q: B)Prove (cose + i sine)" = cosne + i sin ne

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Q: 1. Free hand sketching. Draw a small circle using a square method and center line method.

A: Solution:

Q: Using Laplace Transform method, solve the following differential equation with zero initial…

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Q: 3. Test the convergence of the series an O Converge O Diverge O Fail test 100 2n=1 n*+2n²+1 75 +3

A: We will check whether the given series convergence or divergeent .

Q: Determine the first three nonzero terms in the Taylor polynomial approximation for the given initial…

A: This is nonlinear first order differential equation

Q: 8. What is the period for this relation y = cos(4x)

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Q: Show that 18! ≡ -1 (mod 437).

A: We have to show that: 18!≡-1mod437

Q: Determine the inverse Laplace transform of each of the following. 7.1 F(s) = s² +9s +3 s² +3s +2 S+4…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, find vector normal to A and In plane of A and, B.…

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Q: Choose the correct solution the following differential equation * x²-x+1 y(1) = // x

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Q: D) Consider the following expressions for the initial conditions: f(x) = 0 and g(x) = ) = 0 and g(x)…

A: As per the question we are given the infinite series solution u(x,t) of a damped vibration wave…

Q: b) Solve the following system of differential equations: [2 dy(t) = Ay(t) with y(0) = -H. where A =…

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Q: . Working with your equation in standard form, verify the coordinates of the x-intercepts by using…

A: To find: x-intercepts of y=x2-2x-8 using the quadratic formula.

Q: f L{f(t)} = y(s), then L{ƒ'(t)} = sy(s) + y(0) y(s) - y(0) s²y(s) sy(s) - y(0) خبار 2 الخيار رقم 1

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Q: Use the first four non-zero terms of an appropriate Taylor series to approximate Se-x² dx.

A: Here we can use the formula  ex=1-x+x22-x36+.....

Q: 4.2 Consider the following propositions: 1) If it is known that the differential equation Mr.ude +…

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Q: -20 -10 -10- -10- -20- (0,-16) 10 20

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Q: Find the singularity of the function f(z)=(e^z-1)/z at z=0.

A: I used the expansion of e^z to write f(z) in laurent series form.

Q: BC D ++ H 0 10 Students in a geometry class were instructed to place markers along a number line to…

A: The two line segments are congruent if they have same length  (A) AB has length 2 while AC has…

Q: We know the following data for Albert's fabricating production area: Number of machines = 7 Number…

A: Follow the steps.

Q: The region in the first quadrant enclosed by the y-axis and the graphs of y=cos(x) and y=x is…

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Q: let a=2+7i b=4-2i Choose the correct result of a*b* O 24+22i O 22+22i O22+241 O 22-24

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Q: Graph the feasible region for the follow system of inequalities by drawing a polygon around the…

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Q: . For each graph, determine the number of edges, the number of vertices, the number of vertices that…

A: Since you have posted multiple questions and we can answer one question. So, answering the first…

Q: 1. Consider a standard deck of 52 cards. How many different four-card hands have a) At least two…

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Q: Q#10) For the data (1,2), (3,4), (5,2) 3 if L2,1(x) == Find x? 4

A: 10 Given data is 1,2, 3,4 and 5,2 and L2,1x=34. We have to find the value of x. We know that…

Q: B)ls w = Ze² analytical function or not?

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Q: What is not true about the curve y = as x-∞, y 0 None of the Choices Domain is 1 < x <∞. O Intersect…

A: Given curve is y=lnx-1xex The following options are verified as shown below.

Q: Find the two numbers whose sum is a. If the product of the square of one by the cube of the other is…

A: Let us consider the function f(x)  To maximize the function  Differentiate the function with…

Q: The Taylor series of the function f(x) = cosx at x=0 is (1) ²n (-1)"x²n 2n=0 (2n)! En-0 n=0 (2n)! Σ…

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Q: 31 Q2A)Matrix A [42],find Eigen values of 4².

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Q: F(s) = $+4 5 s² +4s+5 S +

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