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Q: 11, 0-20² 2. 3. चं 5. T S cos 2x dx sin(²³) cos²(:-) / dx 2x-1 4x dx dx 6. 7. 8. S [² (x² + 0²³) dx…

A:

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A: Please see the below picture for detailed solution.

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A: See this solution in below

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A: We can solve the given problem by using the second derivative test.

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A: Given :fx=1x

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A: See this solution in below

Q: 1. (1) E (14) (1) Choose the correct option (Multiple Choice Questions): Which of the following is a…

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

Q: STJ (x (x + sin x) dx Jo

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Q: 2. Find the volume of the solid generated when the region between y = sin x and y = 0 for 0 ≤ x ≤ π…

A: The region between y=sin x and y=0 for 0≤x≤π is revolved about the y-axis.

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Q: 6. (2y²x−y) dx + x dy = 0

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A: See the details solution in below

Q: Find the mass and the center of mass of the lamina with density 8(x, y) = √y x² +1 the rectangular…

A: We have the following formulas(i)  Mass of a region m=∬δ(x,y)dA, where δ(x,y) is the density and dA…

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Q: find the limit, if it exists. If the limit does not exist, explain why. limx→2 1−|x|^2/1−x^2

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Q: Find all critical points of the following function. f(x,y) = 10x²-5y²

A: Please see the below picture for detailed solution.

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A: Find derivative of function and equate to zero to find critical points

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A: See this solution in below

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A: We can solve this as follows:

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A: Taylor series of function fx at a is defined as:…

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A: As per your query the solution of the question no 1 is given in the next step.

Q: 4. √ (4x²–5x+6) dx

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Q: dx + 2x dx = 2x²y² dy

A: dx+2xdyy=2x2y2dy dxdy+2xy=2x2y21x2dxdy+2yx=2y2.......1equlet 1x=v differentiate with respect to y…

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Q: Approxima using the (Use symbolic notation and fractions where needed.) approximation based on…

A: Given: x14 at a=16

Q: 3) Consider the autonomous DE: y' = y² + 3y - 10 A) Find the critical points of the given DE.

A: