Q4A: The directional derivative of f(x,y)=-2 at the direction of vector A=i+j and the directional derivative of f(x,y)=1 at the direction of vector B-i-2 j then f, and fy

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Q: 9. Let be a bounded open subset of C, and 4: Prove that if there exists a point zo E such that 2 a…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: H.W: Evaluate the integral: 1 1-x 1 2.]] | as S dydzdx 00 x+Z

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Q: 1 10. Rotate the region bounded by y=y=9, x = -2, x = 3 about the x-axis.

A: Note: Volume V of revolution about the x-axis is given by V=∫abπ y2dx .

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Q: Q2. Use the Stokes' Theorem to find fF.dr where F(x,y,z) = and C z=9-x²-y² on the xy plane oriented…

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Q: (a) Let M = R. Give the radius r and the center c of B(-2,5) n B(6, 7). ne

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: 29. Evaluate (a) 2π (b) To 5² 2л (c) T Jo (d) the following integrals. 1 + cos 0 -do 2- sin 0 sin² 0…

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Q: = By using trapezoidal rule, n=2, The integral π/2 S™ sin (x) dx

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A: Sum of n natural numbers=n(n+1)/2

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Q: 5 a) Let the sequence {an}=1 is defined by a₁ = 4 and an+1 =; for n E N 6-an i. Prove that {an}=1 is…

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Q: Perform the following steps to find the maximum area of the rectangle shown in the figure. c= = y 6…

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Q: Q4: Show if the series is convergent or divergent cos(n) n√n n=1

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Q: Q3: Test convergence for the following series : 1- Eno)(x + 5)" n+1 2- 2n-one 3-

A: Note : As per our Guidelines we can solve first question. please repost remaining questions.

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Q: Determine the form of a particular solution for each differential equation 2 2. ""4" +4y' = 5x² - 2x…

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Q: In the isosceles triangle ABC, AB=AC=5 units and BC=6 units. Find the location of the point D on the…

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Q: a) Write The Green's Theorem in the plane relating double integrals and line integrals. (Please,…

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Q: Use any of the results in this section to evaluate the given integral along the indicated closed…

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