5. Consider the function if x € Q f(x)= if x # Q. Show that f is not Riemann integrable on [0, 1]. n Hint: Show that limf(x)Ar does not exist. Recall that can be any choice in [x;_1.;].

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A: We can solve this as follows:

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Q: 1. Lim X→2 2x³+2x²+2x+6 x3+4x+3

A: Apply limits to find the solution

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A: Given, cosec(A)=87, 90°<A<180°

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Q: II. Solve the following problems. Enclose final answer. 4 4. Given z = Find az/ax x+y "

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A: topic - gradient of a function

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A: For square root function to be defined the term in the square root should be positive

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Q: Differentiate the function and express the final answer in factored form.  f(x) = (2x^3 +…

A: f(x) = (2x3 + 7)100 (3x2 - 8)50 f'(x) = 100*6x2(2x3 + 7)99(3x2 - 8)50 + 50*6x(3x2 - 8)49(2x3 + 7)100…

Q: Given [ƒ(x) dx = -5, and g(x)= {x²-1,0≤x≤3 . Using the properties of (3x+2 ,3≤x≤5 integral. Find the…

A: Ans= -20  For detail...go through the solution...I have solved using given information in detail

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A: Given    find derivative

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A: Given: An equation for the vertical line through (-3,3) is x=-3.

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Q: 5. Lim xsinx x+0+

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A: The law of cosine is: c=a2+b2-2abcos C

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A: Topic = Derivative

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A: