14. By integration, determine the area bounded by the curves y=6x-x² and y=x²-2x. A. 25.60 units2 C. 17.78 units2 B. 21.33 units² D. 30.72 units²

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

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A: ∇f =i∂∂x+j∂∂y+k∂∂zf

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Q: In reference to the following function: f(x) = x^2 + 7x + 13 / x + 4 What is f’(x)?

A: Given problem:- f(x) = x2 + 7x + 13/x + 4 Find:-f’(x)?

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Q: 8. What is the area bounded by the curve y²=4x and x²=4y. A. 6 B. 7.333 C. 6.666 D. 5.333

A: Here we have to find the area bounded by the curves

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A: This question is based on Parabolic function domain and range.

Q: It is estimated that t years from now the population of a city will be P(t) = 20(60 + 3)² - 1100t.…

A: The population of the city after t years from now is given by, P(t) = 20(60+3t)2 - 1100t

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A: Given :f=esecxy-yx+y

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Q: Express e in the form a + ib. (Simplify your answer completely.) z = 3/

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Q: 6. Find the area of the region bounded by the curve r² = 16cose. . 32 sq.units . 27 sq.units B. 35…

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Q: 27. Find the area enclosed by the curve r = a (1 - sin e). A B. 2a² C. 3a² D.

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Q: Establish the identity. sec ² (-0)-1 = tan ²0 Which of the following four statements establishes the…

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Q: Show the 2 SOLUTIONS using Simpson and Trapezoidal's Rule. Thanks

A: Given

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Q: Q / find Y = ду d x е их e sinx X COSX

A: Given y=e4x sinxx cosxTo find dydx:

Q: Example for unboundedness Min -2₁-3x2 2₁-22₂54 -2₁ + x₂ 5 3 x2 x₁, x₂ > 0 s.t

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Q: 5) Determine the equation of the tangent to the curve y = √3x² - 2x at x=1.

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the functi h(x) = = 60%…

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Q: Determine its amplitude, period, and midline. Consider the function f(z) = 2 (cos (z − 3) + 3).…

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Q: 4. What is the integral of cos xdx from pi/3 to pi/2? A. 0.134 C. 0.707 B. 0.500 D. 0.293

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A: We have to solve the differential equation

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A: Here we have to find the domain of the given function.

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Q: 24 १. शुक dx +3

A: The given integral is: I=∫x4x5+33dx    ...1 As we know the Power Rule: ∫xndx=xn+1n+1+C

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