32) Use the scalar triple product to determine whether the points A(1, 3, 2),  B(3, -1, 6),  C(5, 2, 0),  and  D(3, 6, -4) lie in the same plane.

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A: The objective is to solve the above differential equation.

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A: Given 

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A: We will use the concept of critical points to get the diameter

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Q: -1 sec vo) do

A: We will use substitute method to solve the integral.

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A: Given  problem:- Find the dimensions of a box with a square base with surface area 56 and the maxima...

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A: A puck of soap makes a perfect cylinder.It is submerged in water and begins to dissolve, losing 2cm3...

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Q: find the solution of initial value problem. Using Differential Equations y'+2y=xe-2x,        y(1)=...

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A: I am attaching image so that you understand each and every step.

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A: The graph is shown below::

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A: The shaded region shown below is bounded by the functions fx=-2x2+0.75x+4, and gx=1.5x+2 and the lin...

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A: Here we will find A, B, C ;

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A: We have to use differentiation to solve the problem

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Q: 1. Evaluate the following integrals: g) . dx sin-1 x V1 – x2 h) . 2 cos(sec-1x) dx 2/V3 xVx² – 1

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A: Find your answer below 

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A: Topic:- application of derivatives

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Q: Find all local minimum and local maximum value(s) of the function. f(x) = 2 cos x – sin? x, 0< x< 27...

A: Option 4