Find the value of a that will make the function continuous at every real number. x<2 f(x) = ax? + ax x > 2

Q: Give an example of a geometric series whose sum is T (recall that geometric serie begin with = = 0).

A: Hello learner, we can answer first question as per the honor policy. Please resubmit other question ...

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Q: 4. Find the double integration of [(1+xy* )dx dy. ww m

A: ∫04∫y2y(1+xy2)dx dy∫04x+y2.x22y2ydy  

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A: Given,             ∫12x1-x-12dx=a1b+πcTo find : What is a+bc.

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A: We have to set up an integral for the volume of solid integral.

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A: First we solve L.H.S then solve R.H.S . We use the formula integration of eat=eat/a

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Q: List the first five terms of the sequence : (-1)"n an = n! +2 a1 =Number a2 =Number a3 = Number a4 =...

A: Given:            an = (-1)nnn!+2⊙Then, for a1  put n=1 in an:           a1 = (-1)1(1)1!+2Hence,    ...

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Q: Which of the following is/are true about the function whose graph is shown below? (6,5). (1,4) (-4,2...

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Q: Which of the following series converges and which diverges? Find the sum of the convergent series. 0...

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A: Here we will find the x-intercepts of the given function,

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Q: csc5x cot5x dx A csc5x B esc5x 3 -csc5x 3 D csc5x E) None

A: Given  ∫csc5x cot5x dx5csc5x3    

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Q: 3. Evaluate

A: The given integral is 1/(x-1)2/3 limit from 0 to 3.

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Q: Calculus Question

A: Perform integration

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Q: dy Given that y = x² log2(6 – 5x), find dx

A: This question can be solved using product rule of derivative.