Evaluate the definite integral using the given integration limits and the limits obtained by trigonometric substitution. 14 x² dx 249 (a) the given integration limits (b) the limits obtained by trigonometric substitution

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A: Step 1:Step 2: Hence only 2nd option is correct.

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A: Step 1: Step 2: Step 3: Step 4:

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A: Step 1: Step 2: Step 3: Step 4:

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A: Let us analyze the transformation of the graph of f(x) = x2 as follows:Step 1: Identify the key…

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A: Step 1: Step 2: Step 3: Step 4:

Q: For number 4 the answer is B Could you explain why

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

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A: We have given, f(x)=7x2−2x g(x)=5x+3  Step : 1 Find g(k) by replacing x with k in g(x),  g(k)=5k+3…

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A: Step 1: Step 2: Step 3: Step 4:

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A: (i) Finding local minima of f(x1​,x2​):  (ii)  Example of a function f:R2→R that is neither bounded…

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A: May this answer helpful to you.

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A: The derivative of f(t) is f′(t)=2−1​(t3+8t2)8−9​(3t2+16t)Third option is correct.

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A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

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A: Step 1: Step 2: Step 3: Step 4:

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A: Ans 13:Read this as answer number 13Ans 15:

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A: If you have any help please let me know in comment box thankyou.

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A: Step 1: Step 2: Step 3: Step 4:

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A: Therefore, the correct answer remains: limx→∞​(10+x210​)=10 So, the correct choice is still A, and…

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A: Step 1: Constructing the Accessibility Matrix PThe accessibility matrix (adjacency matrix) P…

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A: ANS : ( a ) ​STEP 1 ​​  STEP 2 ​​   ANS : ( b ) ​ STEP 1 ​​STEP 2 ​​  ANS : ( c ) ​ STEP 1 ​​ STEP 2…

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A: Step 1: Select 5 values that should be substituted as the x-value into the equation (the number, 2…

Q: #95,#96

A: 95a)b)96a)b)

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A: If you have any help please let me know in comment box thankyou.

Q: The graph below is the function f (x) -D -3-2 4 3 2 Q2 03 Find lim f(x) = x-1- Find lim f(x) = x−1+…

A: Step 1: Step 2: Step 3: Step 4:

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A: Simpson's Rule is a numerical method used to approximate the definite integral of a function. It…

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A: Step 1:Step 2:Step 3: Step 4:

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A: Step 1: Step 2: Step 3:The answer is 1.