Evaluate the integral dx (5x + 9)* by making the appropriate substitution: u = dx (5x + 9)*

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Q: + 3x° +3x*.

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A: This part: 4v+24v-1v+2=A4v-1+Bv+2 is called partial fraction decomposition. Using this we make two…

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A: Sum of two numbers =  25 Difference of two numbers = 7

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Q: 3. A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. Brine containing 1…

A: Given problem:-  A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. Brine…

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A: Integration is done after calculating the intersection points of both the equations.

Q: 13. 1²V2 - 1 dr

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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A: Let's find.

Q: 129, given 18) Find y'= A) 2y/(2x - sin y) C) - 2x/(2y - cos y) in terms of x and y for an Implicit…

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Q: itいて)ttいz (Stu) ८(S+4च) uft-)$+ no C2n7s)22n?1 znt1)! u(tー) tつa 2nts iuZetuてと(ttat) て tuて ttuて ut-)…

A: maclaurin series

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A: As we know that; The Green's theorem; ∫CPdx+Qdy=∫∫D∂Q∂x-∂P∂ydA   Given: I=∫C3xy dx+6xy dy And C:…

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Q: 6. lim (sinx)*

A: u =eln u, then:limx→0+  (sin x)x  =limx→0+  ex ln(sinx)=limx→0+  eln(sinx)1x=elimx→0+  ln sin(x)1x

Q: 5. 7=-7ī -14]- 21k, p=(-4,8,12) 6. i = (5,0,-2). = (4,-7.10)

A: if  their dot product is  equal to zero then they are orthogonal

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Q: -3 2. (2x+4)3 8x dX use integration by parts and then find the value of definite integral.

A: A detailed solution is given below.

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