The curve y = √x + 2 is revolved about the y-axis from x = 1 to x = 8, find the surfac area.

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A: C=x,y: 1≤x≤2, y=lnx+x2-1

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A: Topic = Determinant

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A: Please see the below picture for detailed solution.

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A: We know that if f(x)=g(x)h(x) then  f'(x)=g'(x)h(x)+g(x)h'(x)

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A: Given ∫e2x sinx dxTo evaluate the integral:

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A: We can solve the integration as below

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A: Given query is to find indicated vector operation.

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Q: Given than f(x) f²f(x) dx = −4 and Ⓒ [ƒ (2) de- f (x) dx = 20 (A) f dx [ B [²] ƒ (x) dx − [ª* ³ƒ (x)…

A: To find out the option which is not correct.

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Q: Using Simpson's method 2 So dx for n=4 is equal to Blank 1 (use 2 decimal places with proper…

A: As we know from the Simpson's Rule: ∫abfxdx=∆x3fx0+4fx1+2fx2+4fx3+2fx4+...+4fxn-3+2fxn-2+4fxn-1+fxn…

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A: Given that the sum of the digits of a 3-digit number is 11. If the digits are reversed the new…

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Q: 7 x = R¹, ƒ(x):=· + 3√x² 1-x 1+x² +ea² +1 +π².

A: see below the answer and calculation

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A: We know that, Suppose that x=c is a critical point of fx then, If f 'x<0 to the left of x=c and f…

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Q: 8. For what value of the constants A and B is the function f continuous on (-∞, ∞)? Ar + B for x 2…

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