Find the volume of the solid bounded by a lune with an area of 36t. The given angle is 25°. C D Q.. A O B

Q: Determine the inverse Laplace transform of each of the following. 7.1 F(s) = s² +9s +3 s² +3s +2 S+4…

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

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Q: Question 2. Show that for any integer n, 5|(n5 − n).

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Q: 22 In the diagram below, BC-(10-x)units, AF B 19 x D

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

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Q: Consider the following differential equation. (1+y²y = x² Let x, y) = of dy 14 y Find the derivative…

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Q: 19 Min Z= 2X1+3X2 S.t: X1 ≥ 125 X1+X2 ≥ 350 2X1+X2 ≤600 X1. X2 > 0 Using the simplex method, In the…

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Q: Using Euler’s Theorem, find the last two digits of 4444^3333

A: Let us find the last two digit of the given expression by using Euler's Theorem in the next steps.

Q: (A) Test for convergence or divergence of the sequence 3" - 1 (B) Find the sum of the series 11=1…

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Q: (a) Assume that f(x) is function defined by -4 if -T≤ x < 0, f(x) = for 0≤x≤T. (i) Expand the…

A: According to guidelines we can solve only one problem

Q: 1 f (x) = log₁+log Write down Df, the domain of f and then solve the equation f(x) = -log T.

A: The given function is fx=13log314+log3x To find: the domain of f(x) and solve the given equation.

Q: 1 (a) Show that the series np lng n n=2 if p = 1. (b) Find the interval of convergence of the…

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Q: Diagonalize the following matrix, and then find A¹0 1 - 1 4=[=] A 6 -4

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Q: 8.2 Making the change of variable z=cos(x) in the equation y" - y' cotx - y sen²x = 0,, the equation…

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Q: Use a parameterization to find the flux *SSF. F-n de of F-xy 1-2 k outward (normal away from the…

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Q: Find the value of a and b if. a=2&b=9 >ite} sho= &b=3 ܂ 0 " 3 (s+a) +b &b=3 a=-&b=9

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Q: 6) Solve: x'(t) = 4 -2 2 -2 3 3 -1 -2 -1 x(t) 3

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

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A: Use the following formulae, to find the multiple linear regression equation with two independent…

Q: A poll of 220 students at a university reveals that 80 are taking a lab science course, and 55 are…

A: From the above details we have,

Q: Select the graphical representation of the region R, which satisfies that: r6 6-y [[ f(x,y) dA= [[…

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Q: Hey, reply as soon as posible. The equations of the asymptotes of a hyperbola with transverse…

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Q: Question 1. Prove that For all integers n. -n- 閱 = n 4

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Q: A space probe in the shape of the ellipsoid 36x² + y² + 4z² =20 enters a planet's atmosphere and its…

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Q: 1. Free hand sketching. Draw a small circle using a square method and center line method.

A: Solution:

Q: Let the cosine of the angle between the vectors p and q be à such that 2p + q = i + j and p + 2q =…

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Q: Use a parameterization to find the flux *SSF. F-n de of F=xy i-z k outward (normal away from the…

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Q: y" (x) + 4y"(x) + 9y'(x) + 10y(x) = -24e*; when x = 0, y = 0, y'= -4, y" = 10

A: Properties of Laplace transformation…

Q: 5. Determine 83 and 0B. Let q = 15 kN/m and L = 6m. 1 L 3 9 L 3 L 3 B

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Q: The solid bounded by the surfaces: corresponds to: A) B) I 42 S₁: -2(2-2) = y² S₂: x = 1+ 2y S3: x=0…

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Q: Use a variation model to solve for the unknown value. The body mass index (BMI) of an individual…

A: If a varies directly  as b, then it can be written that a∝b. If a varies inversely as b, then it can…

Q: (a) Find approximate values of the solution of the given initial value problem at t = 0.1, 0.2, 0.3,…

A: note : As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

Q: Q3: a) Evaluate the following integrals: 1. f sin2x 1+ cos²x dx. √9-x2 2. fv-x² dx 3.f 1+x dx

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Q: The properties that could be used to find laplace of (te-2t. +sint+cost)2U(t+6) for all t20.…

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Q: Use Laplace transformation to solve the differential equation: y(0) = 1 and y'(0) = -3 y" + 3y'-10y…

A: Use the following formulae, to obtain the solution.…

Q: Suppose that the piecewise defined function f is defined by 4 - 2x, x≤2 f(x) = { +² +5x-14, x>2…

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Q: Solve using Laplace transform method: y + y = 1 y(0) = 2 [y' (0) = 0

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Q: 9. Consider a number with 8 digits but using only digits 1, 2, 3 and 4. a) How many numbers can we…

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Q: Use the method of reduction of order to find a second solution of the differential equation t²y" +…

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Q: 3.ftcost²dt

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Q: 25. 1 = (3e¹-2x) dz

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Q: Is v= 1 3 an eigenvector of A = 1 6 -1 -4 ? If so, find the eigenvalue.

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