Express the given complex number in rectangular form (a + ib). T 1. + i sin + i sin cos 9. 9.

Q: Use the cutting plane method to solve the following IP: max z = x1 + 2x2 x1 + x2< 10 s.t. 2x1 + 5x2 ...

A: First draw the line x1+x2=10 and mark the region for the inequality x1+x2≤10.

Q: What Mclaurin Series this function represents: Eo = 1+x + 2! 3! 4! a. e^x b. cosx C. sinx O d. 1/(1-...

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Q: Find the antiderivative, G(t), of the function g(t) = (2n²t2 - t)V2n2 -t².

A: As per the company rule, we are supposed to solve only one problem from multiple problems. Therefore...

Q: dy +ky = a sin bx dx %3D Show that the solution of the differential equation is given by: 2 +b²+ab K...

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Q: Find a power series representation of f(x) = x tan¬'r

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Q: Evaluate the moment My and My of the region bounded by y = 2x + 1, x + y = 7 and x = 8.

A: evaluate the moment Mx and My of the region bounded by y=2x+1 , x+y=7 , x=8

Q: 2. The relationship between the displacement S, velocity v, and acceleration a, of a piston is given...

A: Given: s+2v+2a=43s-3v+4a=253s+2v-a=-4 Rewriting the equation2a+s+2v=44a+3s-3v=25-a+3s+2v=-4

Q: Samuel sells furniture. He receives a base salary of Php 2400 a week plus a commission on his weekly...

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Q: 2 1. Evaluate 8x" dx by the Gaussian quadrature method. 7

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Q: Let Au + u = x^2 + y for x and y be in (0, 1). u(x, O) = x^2, u(x, 1) = x, u(0, y) = 0, u(1, y) = 1....

A: We are given the following differential equation with the boundary conditions.              ∆u+u=x2+...

Q: 2. Write C, and c in each blank to form a true statement. a. A={1,3, 5 ,7} ; B = {1, 3 , 4 , 7 ,9,11...

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Q: Solve the Lagrange's partial differential equation z* p – xy(x2 + yz)q = xz(x² + yz). 4 xz(x? + yz).

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Q: Binomial Distribution: (n = 6, p = .2) Find (Use these data in Prob. 1-3) 1) Pr (r < 2) 2) Pr (r 2 1...

A: We have to find the probability of binomial distribution.

Q: Given f(x)= 7x+ 3x? Find all zeroes accurate to læl10 using: T. | (a) Newton-Raphson method

A: The equation in the form f(x)=0 is called a transcendental equation. The solution of the equation is...

Q: Find the compliment 1 (A+B')C' = ?|

A: We have to find the complement of A+B'C' De Morgan's Law:  A+B'=A'B'    where ' indicates complement...

Q: In calm waters, the oil spilling from the ruptured hull of a grounded tanker spreads in all directio...

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Q: a (b) Let BE M2x2(R) and B = If a? – 2ad + 4bc + d² > 0, then B is diagonalizable.

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Q: A diet is to contain at least 1003 units of carbohydrates, 2815 unids of protsins, and 2660 calories...

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Q: Find the Laplace transform of the following functions. a) f(t) = t sin tcos t. b) f(t) = te"8 (t – 2...

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Q: Consider the series In(k) k2 a) Enter an integral whose convergence or divergence is equivalent to t...

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Q: Construct a logical statement for S(p,q) such that it has the following truth table. (The statement ...

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Q: Binomial Distribution: (n = 6, p = .2) Find (Use these data in Prob. 1-3) 1) Pr (r 1) 3) Pr (r < 3)

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Q: Graph ARST with vertices R(4, 1), S(7, 3), and T (6, 4) and its image after the glide reflection. Tr...

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Q: Find the coefficient a, of the Fourier series representation of the function with period 2n defined ...

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Q: 5. Use the comparison test or limit comparison test to determine whether the following series is con...

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Q: 46. Find the volume of the solid produced by rotating the region enclosed line y = -1 that is bounde...

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Q: ~(W=A) = ((~Wv~A) · (~AÉW))

A: This is a problem of logic.

Q: 3.) Find the volume generated by revolving about the x-axis the areas bounded by the following curve...

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Q: Instruction: Solve the following system of homogeneous linear differential equations. Present your s...

A: Given that  x'=3x+5yy'=-x-yx0=5,y0=-3 We have to solve the system.

Q: Determine the particular solution 2y" + 5y' + 3y=0; y (0) =3; y' (0) = 2 Options y = -10e-3x/2 - 13e...

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Q: x² + ax - 2bx - 2ab – x - 2ax2 - 2bx2 dx x* + ax² – 2bx2 - 2abx

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Q: Q1 Solve the following differential equations dy X-y+3 2x -- 2y + 5 dx 1)

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Q: 1. Express the following proposition in a symbolic form by defining atomic propositions and construc...

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Q: 8. Use quantifiers and predicates with more than one variable to express this statement: "There Sa p...

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Q: Choose the true statement. a) For a quadratic relation, the second differences are increasing. O b) ...

A: We want to find true statement from given statements.

Q: Question 5 Given matrices A and D 0 0 1 A =0 1 0 10 0 1 D =0 -20 Which of the following is correct? ...

A: It is given that ;                   A = 001010100      and    D = 1000-20001 And we have to find  A...

Q: Question 2. Consider the 2n x 2n block-diagonal matrix A, made up of n blocks (* :) of 2 x 2 matrice...

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Q: Express the given complex number in rectangular form into polar form. -5 – 5i3 ○ 5/2 [cos(플) + isin(...

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Q: Graph ARST with vertices R(4, 1), S (7, 3), and T (6, 4) and its image after the glide reflection Tr...

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Q: Problem 2. Let c1, C2, C3, C4, C5 be the column vectors of the matrir 3) A = [1 2 1 -3 5 2 35 5 9 1 ...

A: (.)  If a set of vectors { v1 ,v2 ,............,vn }        contains a zero vector then set  is     ...

Q: 20. Let H = span What is the dimension of H? 23

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Q: Find the volume generated by revolving about the line x=0 the area bounded by the curve y^(1/2) = (x...

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Q: A team of scientists are studying two species of deer in a park who are competing for the same grass...

A: We will be solving part(b) as mentioned. The given system of differential equation is: dxdt=x2.20-0....

Q: It is known that f(x)-4 when x-2. What is the value of f(x) when x-0? f(x)- [(3x-7x) dx 3. 04 OS

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Q: Find the antiderivative, G(t), of the function g(t) = (5n²t2 - t*)V5n2 – t2. %3D

A: Let us find the antiderivative of the given function in t  in the next steps using substitution meth...

Q: Integrate the function f (z) = (z – 8i)? from z = 0 to z = 4 + 4i along the line x = y.

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Q: 4. Solve the equation SHOW YOUR COMPLETE AND CLEAR SOLUTIONS. x² (y')° = 2y² – xyy' -

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: The orthogonal projection of a vector a→ onto a vector b→ is calculated using the formula: orthb→a→=...

Q: Find the set of points that is satisfied the condition described by |z – 2i|+ |z + 4i| = 10

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Q: A boat starts off 28 miles directly west from the city of Morristown. It travels due south at a spee...

A: as given, a boat starts off 28 miles directly west from the city of morristown. then it travels due ...