Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. = 6x2, y = x² +1 Question Help: D Video Check Answer

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A: arc length

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A: We know that integration of xn is xn+1/n+1. That is power rule of integration.     Here i attached…

Q: 9) Determine the third derivative with respect to x for y = In x 10) Given f(x) 2x + 1 and f(1) 4.…

A: Find the derivative

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. ti +t°j dt

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. •3 ti + ti dt

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A: We will evaluate the given integral as shown below

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Q: Verify Green's Theorem by evaluating both integrals aN v? dx + x² dy | dA ду ax for the given path.…

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Q: dy 1. Find for the following: - dr f. 4x² - 9y² = 36 g. -+-=1 X y ... h. 3x°y+2xy² = 4 i. (3 - 2x) =…

A: f.4x2-9y2=36Differentiate w.r.t.x4×2x-9×2ydydx=08x-18ydydx=08x=18ydydxDivide18y on both…

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A: Note:  In question 3, the function given is incorrect. So, i am solving the question 4. Question - 4…

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Q: Find an equation of the tangent line to the given curve at specified point. (1, 1/4).

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Q: dy 1. Find for the following: dr - f. 4x² - 9y² = 36 g. -+-=1 X. y. h. 3x°y+2xy² = 4 i. (3 - 2x)º =…

A: We have to find the derivative dy/dx.

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A: Solution is given below:

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Q: Q1. Which of these expressions is NOT factorised? А. X(х + 1)(х + 2) В. (х+ 1)(х+2) С. x (х + у) —…

A: Solving the problem by finding the correct answer.

Q: F. dr. Jc Use Stokes' Theorem to evaluate F(x, y, z) = z²i + 26xj – y°k %3D where C is the circle x?…

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Q: c. The area between y sin x and the x – axis for 0 < x< a

A: Area between the y=sinx and x axis from x=0 to x=π

Q: 9. Use the graph of y = f (x) to answer parts (a) – (f). Where applicable, use interval notation. -2…

A: Solution is given below:

Q: n-1 (-3)' is convergent or divergent. If it's convergent, b) Determine whether the series 4" n=1…

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Q: Yz01003 b00 Cos07+3 2. 7) 300 Sing Y=0.002 Ysine dr do dø

A: A detailed solution is given below

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A: To use the linear approximation for the given function

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Q: 1. For which function below does lim f(x) = -∞? X-2+ 1 f(x) = - x-2 1 f(x) = - (2 – x) x² - 4 a. с.…

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

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A: The speed of ripple that travels outward = 50 cm/s