The sum of a positive factor of pq is p+q+pq-1 None of them p+q+pq p+q+1

Q: If A is a 5 × 5 real matrix with trace 15 and if 2 and 3 are eigenvalues of A, each with algeraic…

A: Solution: Given  A is 5×5 real matrix  and trace(A)=15  and we have to find det(A)

Q: Consider J x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? (A) 1/2…

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Q: By using the method of least squares, find the best line through the points: (2,-3), (-2,0), (1,-1).…

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Q: Show that -ydx+xdy) = x₁y₂-₂₁ where C is the line segment joining (x,y) and (x₂,₂).

A: We have to prove ∫C-ydx+xdy=x1y2-x2y1 Where C is the line segment joining x1,y1 and x2,y2 Now…

Q: 1. If x=27-3k and y = 7+57-4k, express each of the following in terms of i, j, k a) 5x-2y

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Q: Question 4 4.1. Find a power series representation for the function 2x-15 sign, 4.2. determine the…

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Q: Determine the inverse Laplace transform of G (s) = 28 (8²-4)² Og(t) = t cosh 2t O g(t) = }t sinh 2t…

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Q: identify and sketch the graph y = √(4 - x^2) in R^3

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Q: A lady 1.65 meters tall walks towards a lamp post 2.65 meters high at a speed of 1.5 m/s. How fast…

A: Given: Height of lady=1.65 m Height of lamp post=2.65 m Speed of lady=1.5 m/s To find: Shadow of…

Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)²=2y, the…

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Q: Evaluate: (7-j3)ln(cosh(2+j5))

A: Given (7-3i)lncosh(2+5i) Since cosh(x+iy)=cosh(-y)cosx+isinh(-y)sinx So…

Q: Suppose we want to choose 7 colors, without replacement, from 10 distinct colors. (a) If the order…

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Q: 17. Find a combinatorial proof that n("z ¹) = (k+1)(²1). k 19

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Q: QUESTION 19 The volume of the solid generated by revolving the region bounded by x2 = 4y method. The…

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Q: Evaluate Stan" (x) see³x dx.

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Q: Find an analytic function whose real part is u(x, y) = x³y - y³x 7²+1

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

Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5)2=2y, the…

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Q: - Q4: A- Choose the correct answer for the following: 1- A cofinite topological space (X, T) is: a-…

A: As per our guidelines we are supposed to answer only first question.  I have  solve only (1) in very…

Q: What single payment today would replace a payment of $1,250 in 2 years and a payment of $5,500 in 5…

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Q: 14. If d is a metric on a vector space X‡ {0} which is obtained from a norm, and å is defined by…

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Q: A trough is full of liquid of weight density 9,000 N/m3. The ends of the trough are equilateral…

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Q: 9) If f(z) = u - iv is analytic in the z-plane, then the C-R equations satisfied by it's real and L…

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

Q: Let S be the quadric with equation 4x² − (y - 3)² + 4z² = 4. What type of quadric is S? Find an…

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Q: xy(1 + xy²) dx = 1 Ans: + y² -2=2

A: Given ode is ,                                                                   xy(1+xy)dydx = 1…

Q: The volume of the solid generated by revolving the region bounded by x²=4y and y2 = 4x about y=4 is…

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Q: cos² (x) + cos² (2) cos³ (x) S .dx

A: As per the question we are given an indefinite integral which we have to solve.

Q: Inz) = Inr ei ) = Inr) + In ( e°0 )=ln r+iᎾ z = reie

A: A complex number is expressed in various ways. Apart from rectangular representation, a complex…

Q: 2. By changing to cylindrical coordinate, evaluate So 1-x²1542x² dzdydx

A: Introduction: Sometimes, a triple integral given in the rectangular coordinate system is very…

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

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Q: Which first order DE is variable separable? dy dx =y²cosx-y²sinx = 1 + xy =ycosx-xsiny =(x-y)² dy dx…

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Q: he complex fourth root

A: Given,       z4=2-23i

Q: Use Cartesian coordinates to evaluate JJJ xy² z dv D where D is the tetrahedron in the first octant…

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Q: V = [ units3

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Q: Given the formula, S n =a 1-r^ n 1-r what is the sum of the first nine terms of the geometric series…

A: Note: The geometric series has to be 324, -108, 36, -12,....., Otherwise there will be no common…

Q: Consider the polar curves C₁ : r = 2 cos 0 and C₂ : r = 2 cos 30, and let R be the shaded region as…

A: Introduction: Apart from Cartesian representation in two dimensional Euclidean geometry, there is…

Q: Assume that the Taylor series centred at x = 0 of a function f(x) is Σo anx" Let g(x) = f(x³).…

A: The expansion f(x) is f(x)=∑n=0∞anxn Here a0=1, a2=2, a2=3, a4=4 Since  a0=1⇒f(0)=1…

Q: convert the cylindrical (5, pi/3, 2) to rectangular

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Q: Q2) Compute trigonometric Fourier series coefficients of following 2-periodic signal defined on the…

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Q: QUESTION 17 The volume of the solid generated by revolving the region bounded by x² = 4y b formula…

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Q: Identify and sketch the graph of the following SURFACES. x² + y² = sin²z, z = [0, π]

A: Any point on the 3D plane is represented using the ordered pair: x, y, z. A graphing utility can be…

Q: Problem 25. Find the Laurent expansion of f(2)= 1/[2(2-1)(z-2)] in i) 0< < 1 ii) 1<2<2 iii) 2 < |z|

A: Since  you have posted a multiple  question according to guildlines I will solve first   question…

Q: the volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

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Q: A man borrows ₱40,000 loan at an interest rate of 4% for 8 years. QUESTION: If the loan is made…

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Q: 2. Given the figure below, find a single vector that is equivalent to C B tw b) 10 14 וד --(A-F+C) G…

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Q: Suppose we want to choose 2 colors, without replacement, from the 3 colors red, blue, and green. (a)…

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Q: Problem 25. Find the Laurent expansion of f(z) = 1/[2(2-1)(z-2)] in i) 0< < 1 ii) 1 < x < 2 iii) 2 <…

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Q: 9.W.1 The Gram matrix of an inner product on R2 with respect to the standard basis is G = 1 2 -1 ].…

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Q: Solve the boundary value problem of y" +25y = 0 where boundary conditions y' (0) = 6, y' (n) = -9

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Q: Separation of variables The lateral radiation of heat from a bar of length L insulted at both ends…

A: There are so many subparts, as per our guideline we can solve only first three subparts. Please…

Q: Find the length of the curve. Hand written plzz √2ti + etj + etk, 0 ≤t≤ 3

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