V. Show that: 1. [(cosx-sin x)'dx = x+ cos 2x +C 2.

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A: Please refer to the image below 

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A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant an...

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A: Given problem:-

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A: The given function,         y=sin t1-cos t

Q: Find the sum of the convergent series. 6 0.6 +0.06 + 0.006 +. .

A: Given,Sn = 6 + 0.6 + 0.06 + 0.006 + 0.0006 + ..... = 6.66666...    110 Sn = 66.66666....            ...

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Q: What is y if y= x when x 2? Oa.-1/4 Ob.3/8 Oc 1/4 Od.-3/8

A: According to question,Given function,y = x-2 

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A: As per Bartleby's Rule:Since the three questions are not connected, so they are three different ques...

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A: Given that fx=x+5cosx    x∈0,2πTo find : point of inflectionSolution:if find point of inflection the...

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A: we haveV(t) =t2-6t+8

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A: Since you asked multiple questions, we will solve the first question for you. If you need any specif...

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A: Formula: If bases are same then their Division: powers should be  substratcted am/an = am-n

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Q: dx 2x x2

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Q: fmd the laplaco oof -St e t Cost de

A: Let's find. 

Q: Evaluate: using inner limits 0 to y and outer limits 1 to 2. а. 0.82 O b.0.375 с. 0.71 O d. 3.75

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Q: 9. Find dy/dx by implicit differentiation of y? = In(x), at (e36,6).

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Q: show that J (x) 2 sin X %3D (-Um ,?m + Salt- Je Cx) = zm+ (m!)P (m++1) M=D0

A: Given

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Q: Q2: find the integral of trigonometric function cos sint dx

A: To evaluate the integral: I=∫0πcos5x sin4x dx⇒I=∫0πcos4x sin4x  cos x dx⇒I=∫0πcos2x2 sin4x  cos x dx...