3 Let f be a continuous function such that f(x) dæ = -6 and c10 c10 | f(x) dx = 3. What is the value of 3 (2) da? 2

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A: Solution is written in below steps.

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A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other ...

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A: ∫0π3sin3ydyconsider∫sin3ydylet u=cosydifferentiate on both sidesdu=-sinydy  since u=cosy  ⇒u2=cos2y ...

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A: Solve for the derivative

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A: Taylor series

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

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Q: 2 5. f(x) = x3

A: We will use the definition of a derivative to solve this question.

Q: y=x and y = x3.

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A: Solving integral 

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A: Given ∫x2lnx dxu=lnx, dv=x2dxWe know that integration by can be found by∫v.u-∫v.du

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Q: II. Solve the following problems. 1. Find the equation of the ellipse with foci at (-2,0) and (2,3) ...

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other ...

Q: 1. Find the value(s) of x that satisfy x? - 3.5x + 1.8 = 0. 2. Differentiate y with respect to x of ...

A: Given :1. x2-3.5x+1.8=02. y=x2x+1

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A: Here we have to find the area of the region bounded by the two parabolas.

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A: Let's find. 

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A: Find your answer below 

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Q: Let C be the graph of the equation In(3y – 2e") = sinh“(Tx) – tan(y – 1). | dy (a) Find dr (b) Find ...

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A: To solve the given integral problem

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A: Let's find. 

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Q: Find all critical values and critical points of the function given, then find the regions where the ...

A: The answer is in step 2.

Q: Solve the following differential equations of 2-x'y'y' + xy' = 1 x' +y 1- yy' = 2y – x; dy 3– 2xyy' ...

A: To solve the given differential equation we use the substitution y=vx

Q: Read, understand, and solve the given item. Write your solutions on a separate sheet of paper. Sx², ...

A: To find out the continuity of the function at x=0 

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A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions specify...

Q: 6. f(x) = Vx – 1

A: This question is based on solving 0/0 indeterminate form using L Hospital rule.

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A: We will use concept of left hand limit and right hand limit in this problem.

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Q: State the trigonometric substitution you would use to find the indefinite int 2)-6 dx x(0)

A: Let's find. 

Q: SOLVE THE TRIGONOMETRIC EQUATION a. V3cosxcscx = 2cosx

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: 8. 6. If f(r) = 5 cot +4, then find the value of f'(-9) is -5 82 V82 82 V 82

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Q: Find Z, * Z, and Z,/ Z2 Write the answers in rectangular form (a + ib). Z, = v2(cos" +i sin), Z2 = v...

A: Need to find Z1·Z2 and Z1Z2 Given information: Z1=2cosπ4+isinπ4, Z2=3cosπ12+isinπ12

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A: for same tangent line  slope of equation is same f'(x) = 2x g'(x) = -2x +12 both are same so f'(x) =...

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Q: Question 15 Without any computation, find the values of sinx dr = Blank 1. Blank 1 Add your answer

A: As sin x is an odd function.

Q: Let f be a function defined by z = f(x,y) = 3xy² – 4y. Find the approximate change in z when x chang...

A: