d Jcose d cose 'cos(r sin 0)]= [e* Telcom sin(tsin 0)]. (i) Show that t. %3D dt

Q: 21. A die is rolled. What is the probability of getting a. an even number or a 3? b. an odd number…

A: Solution

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Q: The following data represents the age of 30 lottery winners. 20 30 32 32 36 36 37 37 39 42 44 45 46…

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Q: Given log(100) =2, log(101) =2.0043, log{103) =2.0128, log(104) =2.0170   find log(102)

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Q: find DA and AD, if possible, where D = D,(3,0,2, –1) and A is the given matrix. 2i 1 1+i 1 3i 8. i A…

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Q: A certain function f (2) is represented by the following power series: 1 1 1 f(z) =++ , 1< Iz| 23…

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Q: For what value of a is the function  fa(x,y)=(3x+ay)e":"\(f_a(x,y)=(3x+ay)e^(x-y) a solution of the…

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Q: Given uo, u1, U2, U3, U4 and ug and assuming the fifth order differences to be constant, prove that…

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Q: Find the general solution to the following nonhomogeneous differential equation using the method of…

A: Solution of second order differential equation, by using method of undermined coefficient

Q: 1. Determine which of the following statements are true for all sets A, B, C, and D. If a double…

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Q: 6. A person borrows $45000 at an interest rate of 12% per year. It is desired to repay the loan in…

A: Given: Principal amount =$45000 Interest rate=12% Total number of payment=12 For each payment, the…

Q: Solve the second-order difference equation Y=2=7Yt=1 + 10Y, = 4t + 8t

A: We solve  Yt+2 -7Yt+1+10Yt=4t+8t........(1)

Q: A company operates No oil wells in adesignated Each pump, on averogeg 240 barrels of oiT daily. The…

A: Given that a company operates 16 oil wells in a designated area and each pump on average extracts…

Q: Evaluate the given integral by making an appropriate change of variables. 9X - 3y бх — у dA, where R…

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Q: Find the quotient z1/z2 of the complex numbers. Leave the answer in polar form with the argument…

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Q: Show that Q[x]/⟨x 2 − 2⟩ ≅ Q[x]/⟨x 2 + 4x + 2⟩.

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Q: dw Find ду dw at the point (w, x, y, z) = (3, - 1, - 1, - 1) if w = x3y? + yz-z° and x2 + y? +z? =…

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Q: If p’s status is unknown, q = T, r = F, give the truth value for: (p ∧ r) ↔ r

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Q: b) Consider the following linear programming problem: Min z = x1 + X2 s.t. 3x1 - 2x2 < 5 X1 + x2 < 3…

A: Let us consider the linear programming problem  Min. Z=f(x,y)s.t. g(x,y)≤bx,y≥0 Solving by graphical…

Q: Example 1: Graph f(x) = x', and determine the domain and range of f. Solution: f(x) -3 -2 -1 3…

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Q: Write the Sample space, outcome or event of the ff: 1. A couple has 4 children. If 2 of their…

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Q: Factorize the matrix into LU decomposition. A=[ 054 512 123 Note; With complete solution

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Q: Consider the statement: “There is a person x who is a student in CSEN 5303 and has visited Mexico”…

A: Given: A statement "There is a person x who is a student in CSEN 5303 and has visited Mexico” To…

Q: Taking Clairaut's Theorem into account, how many different partial derivatives of order 5 does a…

A: Given query is to find the numer of possible partial derivative.

Q: 7. Evaluate the following integrals using the multipi -3 xy dx dy (1i) ye* dx dy (i) y e* dx dy

A: To evaluate the given double integrals.

Q: A certain city's population has been in decline since 2010, at which time its population was…

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Q: This is the first part of a two-part problem. Let P = -6 cos(6t) ý1(t) = - (sin(6t)) ] -6 sin(6t)…

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Q: 8. Determine if the critical point (0,0) of f(x,y) =x³+2xy² – y4 +x² + 3xy+y² +10 is a local…

A: f(x,y) = x3 + 2xy2 - y4 + x2 + 3xy + y2 + 10 =&gt; fx = 3x2 + 2y2 + 2x + 3y      fxx = 6x + 2…

Q: 1. Let a and b be elements of a field F. Show that if ab = 0 then either a = 0 or b = 0.

A: By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

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Q: Ryan usually bikes at an average rate of 12 miles per hour (mph). How long does it take him to bike…

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Q: - Evaluate the following integrals: 1. 3 tan°x dx

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Q: Minimize c = 43x + 43y + 11z subject to 2x + z 2 3 2x + y - z 2 2 3x + y - zs 3 x 2 0, y 2 0, z 2 0.…

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Q: x + 2, -2 < x < 0 2, Given: Let f (x) = 0<xs2 1. Sketch to what function you expect the Fourier…

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Q: Let u = (2+i,0 +i), v= (1+2i, 3) e C². Using the Euclidean Inner Product for C, answer the following…

A: (d) To show: u and v are linearly independent. (e) To orthonormalise the set of vectors {u,v} using…

Q: Apply Sylow theorems to identify the correct statement O Every group of order 65 is not cyclic…

A: Option c is the correct answer

Q: Aeニ Re= 100A019メ0.02子 7.002*10-3 Re- QResp.V.D 100。*o.2 *0.02子 1.002x (03 Re-P.v.D -10000.238x0.027…

A: 5. Re=1000×0.12×0.0271.002×10-3=3233.53293≈3,234 6. Re=1000×0.14×0.0271.002×10-3=3,772.45508≈3,772…

Q: You are making 145 apple dumplings. Each dumpling requires 1 peeled and cored 6-ounce Granny Smith…

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Q: You are to design a spherical tank to hold water. The volume of the liquid it can hold can be…

A: The complete solution is in given below.

Q: The equilibrium equations of the blocks in the spring-block system are 3(x2 – x1) – 2x1 = -80 3(x3 –…

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Q: A pound of creamer potatoes contains 11 small potatoes. They are purchased in 50-pound bags for…

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Q: (3a) Let n E Z. Prove that if 3 ł n, then 3|(n² – 1)

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Q: a baker calculated the cost of ingredients for a bran muffin at S0.37 and wanted a 40% food…

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Q: 3. Induction is a variant of induction, in which we assume that the statement holds for all the…

A: By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: 4 4. | cotx csc*xdx

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Q: QUESTION 5 Which of the following surfaces cannot be described by setting a spherical variable equal…

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Q: R Fnd he coneion mara Suppose that B and C are ordered bases of R. Find the conversion matrix from B…

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