4. (y² cos x - 3x²y - 2x) dx + (2y sin x – x³ + Iny) dy = 0, when x = 0, y = e %3D

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A: A trough is 16 ft long and its ends have the shape of isosceles triangles that are 3 ft across at th...

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A: NOTE: Refresh your page if you can't see any equations. . take derivative

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A: We can find the equation of tangent line to the curve as below.

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Q: Evalvate the limit lim Cos x In(x-) -IT メーフクT ne-e

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A: Given problem:- cos-1(cos(11π6))=?

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Q: 2. Define a set X as X = RU {-}. Define two binary operations over X as follows: Addition:x O y = ma...

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Q: Find the linearization L(x) of the function at a. 9 f(x) = a = 3 - L(x) =

A: We have to find the linearization L(x) of the function at a.  We have, f(x)=9x and a = 3 

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Q: /3 Without using a calculator: tan¬1 ( 3

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Q: Find the Taylor polynomial of orders 0, 1, 2, and 3 generated by f at a. IT f(x) = sin x, a = - 4 Po...

A: Taylor polynomial

Q: Perform the following operation with the vectors а3(2. о, з>. ь-(з. 1, 2) %D |2a– 3b|

A: Given that: a=&lt;2, 0, 3&gt; and b=&lt;3, 1, 2&gt;

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Q: Draw a contour map of the function f (x,y) = (y – 2x)2 showing several level curves.

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Q: For the following alternating series, (0.6)7 +... 7! (0.6)3 (0.6)5 An 0.6 - 3! 5! n=1 how many terms...

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Q: ах? + с, x < -2 a) Given f(x) = }bx + 8, - 2<x < 3, determine the values of a, b, and c if: -2c, x2 ...

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Q: Differentiate y= 5x+5 dx

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Q: Find the slope of the tangent line. y = cos3x at x= -5pie/12

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Q: 15 What is the exact value of tan (sinr) where r = 17? Provide your answer below:

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Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region a...

A: Given:       y = √(4-x2 )

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Q: hi

A: 1232Now,32 = 2×2×2×2×2 =4×4×232 = 4×4×2 = 42

Q: 1. Let y be the part of the curve y =r² running from (-1,1) to (2,4). Calculate ry dr + (x+ y) dy.

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Q: Find the Taylor series generated by fat x = a. f(x) = 9*, a = 3 Choose the correct answer below. 729...

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Q: Find equations of the tangent plane and normal line to the surface z + 19 = xe cos z at the point (1...

A: We have to find tangent plane equation and normal line.