Q10.  Find the roots algebraically by factoring:  a) x3 – 8x2-3x +90 b) x3 – 64

Q: (ii) Prove the following Frenet-Serret formulae: T = KUN, N-KUT+TU B.

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Q: Q.2 Evaluate I = f* x*(1 - √x) dx using Beta-Gamma functions.

A: Given: Integral I = ∫01x4(1-x)5dx We have to evaluate the given integral using Beta Gamma function.

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Q: Verify that the given differential equation is not exact. (-xy sin(x) + 2y cos(x)) dx + 2x cos(x) dy…

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Q: X 0,2 0,3 0,4 0,5 0,6 f(x) 0,224 0,363 0,528 0,725 0,960

A: given data  x 0.2 0.3 0.4 0.5 0.6 fx 0.224 0.363 0.528 0.725 0.960 using the data set find…

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A: Explanation of the answer is as follows

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Q: Consider the following Gauss-Jordan reduction: Find E₁ = E₂ = E3 = E₁ = 0 TO 0 1 -1 → 0 -8 0 WWW-W 1…

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Q: Question 4 Use the mehod of Frobenius to obtain two linearly independent series solutions about a…

A: Given below clear explanation

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A: Given that fx,y=e-xysin x sin y       if x≥0,y≥00                               otherwise      Now,…

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Q: Let V be a finite-dimensional inner product space, and let E be an idempotent linear operator on V.…

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A: Let us consider the force F→ The curl of the F is obtained as curl F=ijk∂∂x∂∂y∂∂zFxFyFz If F is a…

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Q: 14. Find the volume of the tank shown below. 1.10 m 1.48 m 4.25 m

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A: Given: The function generating function is Az=21-9z2. To find: The numeric function corresponds to…

Q: 1. By using the definition, show that

A: 1. (a) To show that,                            limn→∞4n2n+1=2

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A: (a) It can be observe that there 52 cards in a standard deck. Here we need to find the probability…

Q: ³.) (2x−y)dx + (4x+y-6e)dy=

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Q: PRETEST MULTIPLE CHOICE:Read and analyze the questions below and choose the correct answer. Write…

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Q: +5t t 3. HA=12₂ 1=+³₁ | = ₁ and 28³²-²¹4 2BT z 3- Find the unknowns x, t, y, z D=7 F=7 C=2

A: Consider the given matrices, A=71-28 (since it is given that D=7), B=x2+5ttz3-xy, D=103z-6 We have…

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Q: For sach of the following Sequence, write the formular for Calculate the 20th term @25, 6, 1, 3,...…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

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Q: π A ƒ(t) = 5 cos(100m + B. Sketch g(t)=e* sin (27). Find its amplitude, frequency, and period.

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A: As for the guidlines of Bartleby I will solve only 3 to 4 subparts if you want remaning repost it.…

Q: 5. Find and sketch the domain of the functions (3D) A) f(x, y, z)=√√√1-x² - y²z² B) f(x, y, z) =…

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A: Unitary method: It is a technique in which we find the value of a single unit using the given value…

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

Q: 3.9 Suppose that the second-order system i = f(x), with a locally Lipschitz f(x), has a limit cycle.…

A: Here we have given that the second-order system x˙=fx with a locally Lipschitz fx has a limit cycle.…

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A: What is Initial Boundary Value Problem: An initial boundary value problem is generally involved in…

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A: What is Newton Cote's Rule: Numerical data is approximately integrated using the Newton-Cote…

Q: ← Given the following sets, find the set (A' n B) U (A'N C'). U={1, 2, 3,...,7} A = {1, 3, 4, 5)…

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Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. First use h = 0.1…

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Q: 1. Using finite differences, determine the type of function (quadratic, cubic, quartic, quintic,…

A: What is Divide Difference: For some given data points, when the difference between x values are…