7. Let R be the region bounded by y = √cos x, generated when R is revolved about the x-axis. (a) V= (b) V= (c) V= (d) V = √2-1 2 - cubic units √2+1 2 2+√2 2 2 - 72, 2 cubic units cubic units cubic units and r || KIN Find the volume of the solid

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A: Given: f (x) = {(2,3),(3,4),(5,7),(10,3)}

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A: topic:- function

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Q: Refer to functions s and t. Find the indicated function and write the domain in interval notation.…

A: Given sx=x-3x2-36 and tx=x-63-xWe need to find stx and its domain.

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A: the given function,  f(x)=-x+22+1,x≤-2x+1,-2≤x≤3x-32-1,x>3

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Q: 11. Integral sin³ R cos R dR

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Q: 9. y = logs (e cos(2x))

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A: See this solution in below.

Q: [" In(y+z) e dxdzdy = [Show your solution.]

A: Given that,

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Q: Find the average value of f(x) = x² on the interval [2, 4]. Answer:

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Q: The right-endpoint approximation of the area under the curve of f(x) = x² over the interval [0, 2]…

A: fx=x2 over the interval 0,2 for n=4

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Q: The slope of the oblique asymptote to the curve f(x) = x +11 corresponds to

A: folllow the procedure given below.

Q: -1.5 -4.5 -1.5 Let [ f(x)dx = 5, |_^*^* f(x)dx = 6, [*¹*³ f(x)dx = 5. -6 -6 Find and -3 [²₁ f(x) dx…

A: This question is related to definite integration, we will solve it using given information.

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Q: 12. Integral x² dx x³ +4

A: Given the integral,        ∫x2 dxx3+4

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Q: (5) f(x) = cos (5 - 2x) (7) f(x): = cos (√x³ + 1) (9) f(x) = cot (x5) (6) f(x) = cos (4x7 + 3) (8)…

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Q: Find dy/dx if y=2 – x^2.

A: Given query is to find the derivative of the expression.

Q: Q2) A: By using partial method solve [2x² cos x dx

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Q: I(X) {(-2,1), (1,4), (2,5), (3,6) g(x) = 6 + 4x h(x) = -x² + 2 2. 2h(3)+g[f(-2)] find 1. h[f(1)] 7…

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Q: Find the general solution of the following differential equation. 25y" - 25y' - 6y = 0 NOTE: Use c₁…

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Q: x+2y+xy'=0  solve thisODE w/o using the Exactness Method. use another method. what method ?

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Q: Let f(x, y) = ln(x + y − 1). The domain of f is {(x, y)| x + y > }.

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Q: limg-0 2x sinx 4-4cosx

A: We can find the limit as below, using L'Hospital rule.