Express the given Cartesian complex numbers in polar form. A. 2+J3 b. -4 c. -6+J

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Q: Calculate approximate value of the following integral S" sin ) dr 1.0 0.5 10 -0.5 Use the Simpson's…

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Q: If the boundaries of a class interval are 17.5 and 26.5, then what is the class size? 18…

A: We have to find the class size.

Q: The given DE: (2y³-x³) dx+ 3xy²dy= 0 can be solved by: A 3 methods B 2 methods 1 method D 4 methods

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Q: Use the method of variation of parameters to find a particular solution of y" – 5y' + 4y = e*. %3!

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Q: 6000 2. The function T(x)= 23.1-In represents the amount of time, in in years, for an initial…

A: We will use desmos to draw the graph as it will be more accurate . also with it draw line for 9…

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Q: Compute the volume of the solid below 2 – a? – y² and above the region D in the xy-plane. The…

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Q: dx 3D х — 2у dt dy dt 5x — у %3D x(0) = -1, y(0) = 5 x(t) %3D y(t)

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Q: Consider a mortgage loan of $940,000 taken at time t=0 at the fixed interest rate of r=0.09 per…

A: Mortagage loan is amortised in 15 years. Principal=$940,000 r=0.09/year n=15

Q: The given DE: (2y³–x³) dx+ 3xy²dy=0 can be solved by: A 3 methods B) 2 methods C) c) 1 method D 4…

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Q: 2. Use Newton-Raphson Method to find the root of x'-2x²-5 = 0 between [1, 4] accurate to five…

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Q: Find the infinite sum (if it exists): (-) 6 . 7 i=0 If the sum does not exists, type DNE in the…

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Q: Prove that there are no positive integers a and b such that a + b³ = 250.

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Q: Find the absolute maximum and minimum of the function f(x,y) = 7y + 64x – 3 over the closed region…

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Q: (a) Suppose that f is entire, and that for some positive integer k and some constants C,r > 0 it…

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Q: Cubic functions Consider the cubic function f(x) = a * x ^ 3 + b * x ^ 2 + cx + d . a. Show that f…

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Q: Which of the following correctly expresses the limit lim n5 as a definite integral? А. x* dx В. x°…

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Q: 6. Ф(23) Answer: Show your work or explain your reasoning here:

A: We have to calculate ϕ(23)

Q: The functionh (x) has a range {y\y> -3, y ER} what is the range d the function j (x) 3h (2 (x- 1))…

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Q: A Ferris wheel is 15 meters in diameter and boarded from a platform that is 4 meters above the…

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A: Given- Let fx = 7x be a function defined on 0, 2.  To find-  Find the simplified form of the…

Q: 20. Let A = (a;;) be a given (3 × 3) matrix. Form the associated (3 × 5) matrix B shown next: d12 B…

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Q: Drag and drop your selected answer for each of the ollowing 7 questions. Each answer may be used…

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Q: tour non zero terms. Kound to three decimal unour az Uou X-X 0.5 %3D 1. for Ixl<1 to find an…

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Q: 2 -/2x+1 Let F(x,y) = C be the antiderivative of f(x) = What is the value of C if x=1 and y=13 ?…

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Q: Erin would like to buy a $350,000 apartment when she retires in 10 years. How much should she…

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Q: Find the absolute maximum and minimum of the function f(x,y) = 7y? + 64x – 3 over the closed region…

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Q: Find a particular solution Xp (t) to the inhomogeneous second order linear differential equation x"…

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Q: Question 8 2x-1 When 4 x-6 5x the fully simplified expression is equal to is subtracted from: x-6 —…

A: We want to subtract the given expression

Q: Consider the simple random graph constructed as follows. There are n > 2 vertices V1, V2, . . . , Vn…

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Q: A randomized controlled trial reports that 2% of the patients in the active treatment group had a…

A: Given detail:   A randomized controlled trial reports that 2% of the patients in the active…

Q: y g(x) 1 Use the graph to state the absolute and local maximum and.minimum values of the function.…

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Q: 3. (2x + j3y)? - 6 - j12 = 0

A: (2x + j3y)2 = 6 + j12

Q: Question 18 Vhich of the following operation will change the sense of an inequality? A Adding…

A: We want to find the true option.

Q: f (1) = = cos 21 + 7 sin 2t s2 + 4 14 s2 +4 s+14 s2 + 14 s+14 s2 +4

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Q: sin?u In "u du where n is any integer, we use the transformation for tan?u = cos?u A True B) False

A: Evaluation of the integral, by substitution method

Q: Find g(x, z) so that F(x, y,z) = (8x cos y sin? z + 2e2xz)î – (4x² sin y sin? z)j+ (g(x, z) cos y +…

A: Given that    Fx,y,z=8x cosy sin2z+2e2xz i^-4x2 siny sin2z j^+gx,zcosy+2e2xz k^ Now we have to find…

Q: 3. Consider function g graphed here. a. Carefully draw this graph on your paper and label it y = g…

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Q: n E(-1)* k + k)"-1, n2 1. k=0

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Q: How many 2-inch by 3-inch by 8-inch bricks will you need to build a (uniformly wide) brick walk with…

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Q: (a) What equation describes every vector w (w1, w2) that is perpendicular to v = (2, 2)? Wi + W2 =…

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Q: The given DE: (2y³–x³) dx+ 3xy²dy= 0 can be solved by: A) 3 methods B) 2 methods (c) c) 1 method D)…

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Q: The table shows the county's populations after a 2020 census. Complete the table using Hamilton's…

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Q: Find an orthogonal basis for the column space of the matrix to the right. - 1 5 5 -9- 4 2 1 -5 -2 An…

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Q: 8. f(x, y) = R is the disk x +y < 9. %3D x² + y? + 1' 1. 1.

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Q: By algebraic substitution, the integral dx dx is converted to: 4+Vx dy y+4 2 dy y+4 ydy y+4 2ydy y+4

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Q: Cost, Revenue & Profit For these problems, x will represent the number of items and y will represent…

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Q: Question 14 A student solved a rational equation using the steps shown below. 2 = 2, x t1 x+1 x-1…

A: The most important step is step 1 just multiply both the sides by (x-1)(x+1). From step 2 to step 7…