aplex numbers in polar form : i-1 (iii) Cos +i sin

Q: 19. Determine the line integralof the differential form (x + 3y²)dx – (-6xy + z)dy from points…

A: Linear integral of Differential form

Q: The measure of arc BC is 97 degrees. What is the measure of angle BCE to the nearest 100th? C D Type…

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Q: Example 1.4.1 As an easy exercise, check that you believe that lim [0, 1- 1/n] = [0, 1) n-00 lim [0,…

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Q: Evaluate the following complex expressions. Present your answers in the trigonometric orm. Box your…

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Q: CSc x e dx Cos x

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Q: 6. Simplify. Write as a mixed radical in lowest form. V300 – 5/27 + 2/12 - [5,5] a) b)

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Q: Let R = {(x, y) € R² | In y <r <1n1< y< e} and let S be the surface defined by the vector function…

A: First we find the region of (u,v) such that the projection of surface on xy-plane is R.

Q: Assume that the profit generated by a product is given by P(x)= 4/x, where x is the number of units…

A: Given that  Assume that the profit generated by a product is given by p(x) =4sqrt(x)  To find How…

Q: 10. Find the value of 5368 (mod 41) Answer: Show your work here:

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Q: 6° Szx dx t yay where L cs parabol y=-x(x-) arc

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Q: f(t) = t² cos 6t 2s(108-s2) 2s(s²-108) А. (s2-36)3 C. (s2-36)3 2s(108-s?) В. (s2+36)3 2s(s?-108) D.…

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Q: 5. Consider the vector space P2 along with the subspace, H = span {1+21°, 2. -ť,1-f} Use coordinate…

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Q: a Prove that I = { : a,b,c,d are even integers} is an ideal of M2(Z). d

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Q: What is the relation between Beta function and gamma functions and also find В5,3).

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Q: et f(x) = |x| where xeR. Discuss the continuity and differentiability of f(x) at x = 0

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Q: Compute log z dr 1+r² 3.

A: Given integral is  ∫0∞logx1+x2dx

Q: Let FCK be a field extension, wl

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Q: The value X2 .2 -2 x1 + 6 x2 + x3 = 9 - x1 +x2 + 7x3 = -6 4x1 — Х2 — Хз%3 3

A: Solution :       -2x1 + 6x2 + x3 = 9 . . . . . . . (1)        -x1 + x2 + 7x3 = -6 . . . . . . . .…

Q: Find a basis for the vector space of all 3 x 3 diagonal matrices. 0 0 1 0 1 0 1 0 0 0 1 0 0 1 0 0 1…

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Q: Define the sequence {b, } as follows: bo 1 bn bn-1 +n for n > 1 Use induction to prove that an…

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Q: Exercises 6.1 In Exercises 1-8, show that the given set of functions is orthogonal with respect to…

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Q: By using Cauc hy laws find= Cos X.dx IT (x?+)) Sinx cos A) dx COS X e)

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Q: Find the continuity of the function Of(x)= tx²+3 と+ とく3 5x-3 at =t

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Q: ) (4,0) ) (이14) ) (4,시) S. x* dy - 2y dx whare L is 2° J. circle arc x+y% =1, x >O X 70

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Q: Let ø : Z25 → Ss be a homomorphism such that ø(1) = (12468). (a) Find o(22). (b) Determine kero. (c)…

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Q: Given that; z=ilitil (1-2i)² and (Z-áilt Plz-3i) = 7. fiml He Vele for Pard 7 O TECNO

A: Solution

Q: 1. Consider the initial value problem, 2y 3y2 13 1<t<2, (la) y(1) = 1. (1b) The exact solution to…

A: Note:- Due to time limit, i'm able to solve the problem for step size h=0.02. for the remaining part…

Q: Use coordinate vectors to test the linear independence of the set of polynomials {1– 212 –t',t+21,…

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Q: For a fish swimming at a speed v relative to the water, the energy expenditure per unit time is…

A: For relative maximum or minimum To maximize or minimize  a function f(x) 1st we need to find its…

Q: Solve 少, dx dy -logx

A: The given differential equation in the Bernoulli form,

Q: [17] For each of the following equations, • find general solutions; • solve the initial value…

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

Q: Given the following matrices, perform the indicated matrix operation. 1 7 8 0 [5 1 -2 -3 -4 0 -9 3 1…

A: Solution

Q: Let S = {(x, y) : x and y rational numbers}. a. What is the interior of S? Justify your answer by…

A: Please check step 2 for the solution.

Q: Cookie salon is celebrating their second anniversary. They are offering hair service for only ₱699…

A: Discount = 1699 - 699 = 1000.

Q: Define a sequence {E;} where En = r -,r| where n is positive integer. Find P({r}) for any r E [0,1]

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Q: Given the following matrices, perform the indicated matrix operation. 8 1 [5 1 -2 -3 -4 0 -9 3 1 7 2…

A: We can solve this question using given information , first we multiply 4 into matrix B next we…

Q: A parachutist of mass 67.4 kg jumps out of a stationary hot air balloon. Use Eq. (1.10): (t) = (1-…

A: Given : v(t)=gmc(1-e-(c/m)t)Gravitational acceleration g=9.81 m/s2Mass m=67.4 KgDrag coefficient…

Q: (a) Do u1 and u2 form a basis of R³? Justify your answer. (b) Do u1, u2 and u3 form a basis of R°?…

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Q: 2.4.6 Suppose A E M4(C) has all four of its eigenvalues equal to 2. What are its possible Jordan…

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Q: 10. Which of the vectors U =, V = and W = are in the same plane?

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Q: Since we have sin(r +y) sin(r) + sin(y), the function sin(r) is a linear transformation.

A: We know T: V---&gt;W  is said to be linear transformation if, T(x+y)= T(x)+T(y) for all x,y in V…

Q: The value X1.1 -2 x1 + - X1 + x2 + 7 x3 = -6 4x1 — Х2 — Хз %3D 3 6 x2 + x3 = 9

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Q: Use Gauss-Jordan Elimination to solve tl and the Gauss-Jordan Matrix (or Row Red ary of answers. 3x…

A: This is a problem of linear transformation.

Q: Set up a system of linear equations and solve it to determine the general flow pattern for the…

A: Using Guass Eliminating method for solving the system.

Q: Consider the following two matrices: -2 -1 1 0) C = 7 -1 D = 3 3 -2 1 Which of the following four…

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Q: Measure and record the following masses b. 11 11 10 (1 kg) 10 (1 kg) 2 3 9. 3- Mass Mass (x 100g) (…

A: Given:

Q: Approximate the root of 2 - 11.722 + 17.72-5 0 using three iterations of Newton-Raphson Method. Use…

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Q: Q2) Using Graphical Method to determine the optimal value of X1 & X2 that maximize value of Z, Max.…

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Q: f(x) 2 4 8. 10 12 14 CO

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Q: a 1.F.5 To any vector v = in R³ we can associate a polynomial p.(x) = ax² + bx + c in P<2. There is…

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