The area of the region bounded by the curve y = x² and the line y = 16 64/3 256/3 128/3 32/3

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A: We have to check the function

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A: Please refer to the image below

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A: topic- equation of tangent line parallel to given line

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Q: Find critical points of ƒ(x) = x² ln(x) — 1⁄x² on the interval (0, ∞).

A: Given; fx=x2lnx-12x2 ; x∈0,∞    As we know that; The critical points of the function, y=fx can be…

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Q: Use the Rational Zeros Theorem to find all the zeros of P(x) = 2x4 + 5x³ − 3x² − 15x – 9.

A: We have to find out the zeros

Q: Solve each of the following problems completely. Draw the complete figures for each question. 1.…

A: Please see the below picture for detailed solution.

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Q: √x³√1-x² x2

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Q: ل 13 y=√x 0 Figure A 10. Consider the region in Figure A. Its area may be found using [f(x) =…

A: First, finding the intersection of two curves.

Q: Find the critical points and sketch the graph of the function. 1. f(x) = √5 + x 2. f(x)=x²-3x³ + 3x²…

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Q: please include let u du substitutions

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Q: 3 If f *¸9 (2) dx = -5 g(x) dx = -2 and Find the value of 3 15 -5 g(x) dx 15 g(x) dx = 9

A: Solution of given question is written in below steps.

Q: 1 1 So (²₁-2²-₂) dx xx+1 x+2.

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A: We have to find out derivative

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Q: ROBLEM 1: True or False. You don't have to justify. O Let A and B be nxn matrices, then AB=BA. ) The…

A: Topic:-  calculus  Note :- as per our guideline if more than three subparts posted than only first…

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Q: Find the critical points and sketch the graph of the function. 1. f(x) = √5 + x

A: We know that Critical points are points where the function is defined and its derivative is zero or…

Q: Find the derivative of the function at Po in the direction of u. 2x-y g(x,y) = 5xy +6 Po(1,-1),…

A: We need to find derivative of the function.

Q: Assume that f(x) = 5x + 2 and f is defined on [-1,5). Then f has an absolute maximum value at 5.…

A: In given problem since function f (x) = 5x+2 is defined only on [-1,5) i.e. 5 is not in the domain…