17-18. cos30°sin45° + sin30°tan30°

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Q: Consider the following functions: (i) z = arctan (1) (ii) z = In x² + y² (ii) z=(e¹-e~*) siny. Which…

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Q: Find the Laplace transform of the following: 4. y + 2y" - 11y' - 12y = 11t-9, y(0) = 0, y' (0) = 0,…

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Q: The power series representation of f (x) = ln(x2 – 1) is given – Ο A. None of the choices in this…

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Q: create 2 sample word problems of integration by parts with solutions

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Q: Let V = R³, the vector space over R of dimension 3. (a) Give an example of a subspace of V. (b)…

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Q: 3. Which is NOT the correct statement of a degree of a vertex? B E F A) d(E) = 6 OB) d(B) = 4 C) d…

A: To find Which is not the correct statement of a degree of a vertex

Q: 8. Given av av 25202v ат +S as² as find a change of variable of S to x(S) so that this equation has…

A: Solution: Given ∂V∂τ=2S2∂2V∂S2+S∂V∂S-V given condition is a change of variable of S to x(S), So our…

Q: IV.Sketch the ff. curves: Find all its properties.

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Q: Name the characteristics of the graph that is created by the equation below. Remember that…

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Q: Let Find in terms of x and y. x=1+3a+6a² +10a³+, |a|<1 y = 1+ 4b+10b² + 206³ +.., |b|<1…

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Q: Find the volume of the solid underz = 6 - 5x and above the plane bounded by y plane. O a. 19 O b. 11…

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Q: dt² j₁y" +5y' +6y=1; Assuming zero I.C.

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Q: Which ONE of the following statements is TRUE? A. The directional derivative as a scalar quantity is…

A: This is a problem of Vector Calculus.

Q: Determine the Fourier series for the periodic function. f(x) = Problem 2 -2, when -π <x<0 +2, when…

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

Q: Let a, = 1 and a₁ + a1 = n² + 2n, n ≥2. Evaluate S

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Q: 1. If f(x) = x³ + x is a periodic function with period 2r, then the Fourier series will have the…

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Q: A manufacturer is planning to sell a total of 300 machines to both foreign and domestic firms. The…

A: Solution : a)  Total Revenue from domestic market, =900-6x+2y5x Total Revenue from foreign market,…

Q: The value of $(2xy - x²) dx + (x + y²)dy, where C is the enclosed curve of the region bounded by…

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Q: Using Newton-Raphson Method, what is the root? Use error = 1 x 10^-6. Start at x1 = 0.5000.

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Q: Let S be the following relation on C\{0}: S = {(x, y) = (C\{0})² : y/x is real}. Prove that S is an…

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Q: Determine the time required for the bacteria concentration to be reduced to 5 using Newton's method.…

A: We need to find the value of t so that c=5 means we need to solve the following equation using…

Q: How many rows do you need for the truth table of (p ^ q) →r? 8 3 O O O O 4 16

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Q: g(t) -{a (t—"'7)², (11t - e21-3t t<4 4≤t<7 t≥7

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Q: a) Solve the following Initial value problem by using Laplace transforms: y" - 2y' + y = e¹²t; y(0)…

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Q: What is the fundamental concept underlying Sequential Quadratic Programming, how is it utilised, and…

A: Sequential Quadratic Programming (SQP) is technique for the solution of nonlinear programming…

Q: t, g(t)= (t-4)², (9t-e20-4t, t<3 3<t<5 t≥ 5

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Q: 35-36. Find the solution set for the constraints in the figure below. 3x + 2y ≤5; 2x + 5y ≤6; 3x -y…

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Q: Find Laplace Transform F(s) for the variable x or y in the equations a- y"+2y'-3y=32e³; y'(0) = 12,…

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Q: Sam Loans ₱18,500 at 9 5/6% simple interest, how long will take him to get ₱ 6, 780 interest?

A: Given that  Sam Loans ₱18,500 at 9 5/6% simple interest, how long will take him to get ₱ 6, 780…

Q: 1. Given S = 1 8 0 {][]} 2 1 CR³. 0 61 A. Show that S is a basis for R³. B. Apply the Gram-Schmidt…

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Q: The numerical value of 34 3dA (where D is the region bounded by lines y=0 and x = 1, D and the…

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Q: Evaluate the following double integral over the given region R. M JI 2 ln(x + 1) (x + 1)y dA over…

A: We have to find double integral over the region R I=∬2ln(x+1)(x+1)ydAwhere the region R is…

Q: Question 3 Consider the following sequences 71 (i) In (1 + n) (ii) e^/(n²+1), (iii) √√n²+2n -7.…

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Q: 2. y'" - 4y" + 5y' – 2y = 7t — 5, y(0) = 0, y'(0) = 0, y'(0) = −2

A: 2

Q: Choose the CORRECT statements for the differential equation: y" -8y' + 16y = 0. I. The…

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Q: Problem 5 A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. Brine…

A: To determine the final concentration of the salt in the solution, we have to first determine the…

Q: Example 2.30. Find the positive root of x- - x = 10 correct to three decimal places, using…

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Q: Solve the equation [18] 25 X+ [20]25 = [9] 25 X + [6]25 for X € Z25. Write your answer as X=[x]25…

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Q: The average metal concentration recovered from a sample of metallic measurements in 36 sites is…

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Q: (e) Let V = Mat2x2(C). A linear transformation T: V → V is defined by a b -a 7[:] [74] d]. T: Find…

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Q: For the matrixA=daig(-2,-1,2), put the following values in increasing order: det(A), rank(A),…

A: The given matrix is,  A = diag(-2, -1, 2). We have to put the following quantities in increasing…

Q: Given the following: xex - COs x = 0

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Q: Calculate the following. Σ=30: i=30 3 + 4i I. 1 II. + …+ 1 512 16 LIT + 1 4 118 +

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Q: See equation below. Find the value of a + b/c, that is, a plus (b divided by c). (Answer must be an…

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Q: 1. We are revising the catalogue of modules for a programme, so that each student should choose 4…

A: Given: Each student should choose 4 modules. Any choice of 4 different modules is allowed. There…

Q: create 2 sample word problems of antidifferentiation with solutions

A: First problem: The rate of water out of a faucet is rt=t3, where t is the number of minutes from the…

Q: Use Laplace transform to solve the partial differential equation: d'y dy -+xt where y(x,0) = 0,…

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Q: Which ONE of the following is NOT the critical point of the function f(x,y)=xye-(x² + y²)/2₂ A.…

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Q: r = sin +2cos²

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