Calculate the cross product assuming that u x w = (-8, -1, -5) (5u + 3w) x w =

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A: Note: The symbols and format in Part c are not proper, so we will solve the sub-parts a and b. Kindl...

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Q: 5 Find: a f cos r dr Hint: In b sin r sin r sinr (1- cos? r)2 sin r, etc. b S sin r dr c sin r cos3 ...

A: 5a We have to evaluate the integral ∫cos3xdx. Rewrite the integral by using identities ∫cos3xdx=∫cos...

Q: athcad

A: d2ϕ-4ϕ=3d2ϕ-4ϕ=3 cf-1D2-4=0,D=±2 cf=c1em1xc2em2xm1=±2,m2=-2cf=c1e2xp+c2e-2xp for PI=3D2-4 Put D=0

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A: The equations can be expressed as 3x - 5y - 4 = 0x - y - 4 = 0

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Q: Problem 9. Let V1 = , V2 > V3 = 2 V4 = be vectors in R³. (i) Explain whyY you can deduce from Proble...

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Q: 1. Let a,b e N and n = gcd(a, b). For some prime p, if p divides both a and b, then p divides 2. Let...

A: According to the guidelines I need to answer only 1 question at a time. I still solved first two par...

Q: Find the domain and range of the function given below. Sketch the domain. f(x,y) = /36–(x+3)° -(y-2)...

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Q: The domain of the function f(x): 11x+8 is x+4 • R-{-4} 10 • R • R-{8} • R-{11}

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Q: 2 Evaluate į 8x'ax by the Gaussian quadrature method. Tolerance = Nx10

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Q: -2 -1 -4 A = 2 1 4 -1 -4 Find dimensions of the kernel and image of T(7) = Az. dim(Ker(A)) = | dim(I...

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Q: Which of the following subsets of R* is basis of R*. B1 = {(1, 0, 0, 0), (1, 1, 0, 0), (1, 1, 1, 0),...

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Q: (x + 7)" 2n Vn2 – 1 Consider the power series > n=2 1. Use Limit Comparison Test to show that the se...

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Q: a. 55.6209 b. o.007035. C. 5010.0 d. 4056.070

A: This is the question from approximation.

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Q: 4- Fit a cubic spline to the following data to determine y @ x =1.5 2 4 7 10 12 y 20 20 12 7 6.

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Q: 5. Find which of the following quadrature formulas are of the interpolatory type. Show your analysis...

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Q: Consider the polynomial function y = 2(x – 2)° + 5 when investigating and analyzing. Match the topic...

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Q: 3. Evalnate. the. fallowing.deuble.integrals.by.conver.king.b. polar.Cto.r.dinates. Ans: 3.6. C.... ...

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Q: eed the answer q

A: Given,              2x1+x2-x3=1  x1+2x2+x3=8-x1+x2-x3=-5

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Q: 1. Solve the following system of equations using the Gauss elimination method: 2x1 +x2 -x3 = 1 xj+ 2...

A: Multiple : We have given system of equation ,  2x1 + x2 -x3 = 1x1 + 2x2 + x3 = 8-x1 + x2 - x3= -5 By...

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Q: The curve y = 2x^0.5 is intersected by the line x = y. 1. Compute the distance from the x-axis to t...

A: “Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: How many permutations are there of all the letters in the word STARBUCK if. a) the first letter is a...

A: Given word STARBUCK To find The total number of permutations in each case. 

Q: Simplify: a. 2i68 – 3i-89 + 4i114 i-125 b. + 2i213 + 3i-314 5i97 4i85

A: It is known that: i=-1i2=-1i3=-ii4=1

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Q: If a0=3, a1=5, and ak+1=5ak-1+4ak for all k≥1, use methods of linear algebra to determine the formul...

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Q: A pension fund manager decides to invest a total of at most $30 million in US Treasury bonds paying ...

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Q: solve for the function, x^3- 0.03x^2+2.4x10^-6=0, assuming stopping criterion of es=0.1

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Q: Determine the b, of the Fourier Series of: f(t) = { -15; -3<t<0 10 ; 0<t< 3

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Q: 3 Prove the identity: sin30 = sin® –sin30 using De Moivre's theorem.

A: To prove the given identity ,we have to use De Moivre's identity.