ecot x 20. J sin² x(e- cotx) ax is equal to A. ecot x 1 + C ecot x C. -ecot x + C D. –ecot x + C

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A: To simplify sin3x cos4x+sin4x cos3x. To express the answer as a single trigonometric function.

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A: (1)  Here we see that A1,A2,A3 do not lie on same line  hence these are in genera position

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A: To solve the following problem using langrange multiplier

Q: QUESTION 6 Encontrar la suma de las series infinitas En=o 2 2(-)" in3D0 4 3 -1 4 O O O

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Q: 7 (e* - 1) Reverse the order of integration and then evaluate the integral. 14 dx dy y/7 Í(e4 - 1)…

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Q: 2- consider the set of all finite subsets of N, is this set countable or not, prove it?

A: Consider the set of all finite subsets of N, is this set countable or not, to prove it.

Q: yA 4 3. 2+ O 1+ -2 -1 1 2 x -1 -2-

A: As per the company's guidlines, we are supposed to solve first three subparts for you, kindly repost…

Q: Consider the following function. (If an answer does not exist, enter DNE.) f(x) = In(3 - In(x))

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A: Solution of question is written in below steps.

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Q: 4. The function g(t) = (8t)* – cosh² t + sinh? t satisfies g'(c) = 0 for which value of c? %3D (a) c…

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Q: a. b. C.

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Q: Consider the following line integral. xy dx + x²y dy, Cis counterclockwise around the triangle with…

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Q: Consider the function Sx² + 8x + 22 if x < -4 | 2x + 14 f(x) = if x 2 -4 Step 1 of 3: Find lim f(x).…

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Q: 1. A small metal bar whose initial temperature was 20°C', is dropped into a large container of…

A: As per as our guideline i am supposed to answer only one question. please repost remaining question

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Q: lim (e2x – 1)* X→0+ Find the limit using L 'Honital's RI

A: We have to find the limit by using L 'Hopital' Rule Rule

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Q: 8 sec 0d0 3. S V4 + 4 cot2 0 is equal to A. 4 ln csc 0 + C В. 4 In sec ®+ С C. 4 In cos 0 + C D. 4…

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Q: y" + 2y' + 2y = 0, y(0) = 0, y'(0) = 15, %3D %3D %3D

A: answer is in next step

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A: Note : As per our guidelines we are supposed to answer only 3 subparts if there are multiple…

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Q: Either evaluate the following improper integrals or show that it diverges. +oo 1 (i) - dx +oo (ii) 2…

A: We have to evaluate the given integrals.