1) Divide: 12x* – 7x3 + 7x² + x – 1 by 4x2 –- x + 2

Q: Find f'(x). sec x f(z) = 11+ tanx f'(x) =

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Q: Question 6 Find the Fourier series representation of the periodic function below if m = 9 and k =…

A: Given: Let's determine the Fourier series representation of the periodic function below…

Q: Find an equation of the plane with the given characteristics. The plane passes through the point (1,…

A: The objective is to find the equation of plane that passes through the point (1,6,9) and is parallel…

Q: A cylindrical can, open at the top, is to hold 400 cm of liquid. Find the height, h, and the radius,…

A: This question can be solved by differential equation

Q: Express the following sums in summation or product notation |을 + + +급 +급 + 뉴 | 22+4z + 6z"+...+30z³1

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Q: Which of the following is a homogeneous equation? y (x'e*y) dx + x (y + x'e*y) dy O fkmb;lf None of…

A: Homogenous differential equations.

Q: Find the complete solution of the differential equation (x² +y²)dx + (x² – xy)dy = 0 using…

A: We will find out the required general solution.

Q: Probiem 9: A sphere of radius r inches has volume V =ar' cubic inches. What is the rate of change of…

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Q: Problem 10: A fiu epidemic has infected P= 3012+ 100t people by t days after its outbreak. How Fast…

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Q: Use the given derivative to find all critical points of f, and at each critical point determine…

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Q: 3. (y – Vx2 + y²)dx – xdy = 0, when x=0, y=1 %3D

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Q: Evaluate sin(In æ) dæ .

A: To evaluate the given integral.

Q: Which of the following is not true for all real number? if a2-b = 3c then a2-b+2=3c+2 a2 – b if a2 -…

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Q: Let the universal set U {1,2, 3,..., 10}. Let A = {1,4, 7, 10}, B= {1,2, 3, 4, 5}, and C = {2,4, 6,…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Suppose that the number of bacteria in a culture at timet is given by = 9000 34. (a) Find the…

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Q: I. Solve for the negative of the following complex numbers. a.z = 2- j8 b.-z = -3 + j45 C.z = 67 -…

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Q: Let 3x4 – 6x3 + 11x² – x + 4 = (3x² + 2)q(x) + r(x) - | Determine the value of 9 (x) if x 6.

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Q: Write the row vectors and the column vectors of the matrix. 1 -2 -3 (a) the row vectors (b) the…

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Q: 4. Let X-f(x;8) where f(x;0) = 0 (1-0)-10.1)(x), 8 € [0,1/2]. %3D a. Find the MME and MLE of e. b.…

A: Given that  X~ f(x,θ) where the probability mass function of X   X follows the Bernoulli…

Q: Suppose that A, B, C, D, and E are matrices with the following sizes: A(4x 5); B(4X 5); C(5 X 2):…

A: Size of matrix

Q: Find the limit. lim tan7x In2x = %3D

A: Solution..

Q: Solve the given equations: 8.246 8.352 8.139 10.137 10.273 10.374|y |3D 6.351 6.345 6.336 using…

A: Crout's method for LU decompositionThis equation can be written as AX=B where A is the coefficient…

Q: 1/3 and A = -I, d 2 Given that A = C What is the value of C?

A: We have to find

Q: Cos 5x dx 3 +Sin 5x 1. 2. dx J16-9 (n x)²

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Q: Solve the system: Solve the system: 2x+2y-z = 2 x-3y+z=-28 = 14 -x + y 1 p

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Q: -2πS The transform of the solution to a certain differential equation is given by X (s)=- X(s)=1-e…

A: Given that: Xs=1-e-2πss2+1. We know that the inverse Laplace transformation L-1as2+a2=sinat…

Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer…

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Q: Find g'(9) given that f(9) = 5 and f'(9) = 1. Enter the exact answers. (a) g (x) = Vaf(x) %3D g' (9)…

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Q: Solve forvz. a.z = 16 + j25 b.z = 121 – j16 C.z = 10 + j4

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Q: 3. Let the following piecewise function h(x) represent the amount of snowtall removed in cubic fect,…

A: Given that ht=0                          when 0≤t≤6125t-6               when 6≤t≤7125+108t-7…

Q: 2csct -1 D csct +2

A: The given function is 2csc t-1csc t+2 We have to calculate the derivative of the given function with…