What is the second derivative of y = 6x² 3x³ + x² - 5 ? - Oy"= 72x² 18x + 2 Cinema) Oy" 24x³9x² + 2x Oy" 144x - 18 Oy"= 144

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A: L'Hospital's rule apply only when there is 0/0 for ∞/∞ form.

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A: As you have asked multiple subparts so I have answered first three subparts as per the guidelines

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Q: Find T,N and k for the curve: 1- r(t) = (6 sin 2t)i + (6 cos2t) j+5tk.

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A: Given :difference of two number is 128

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Q: Convert the rectangular equation x2 = −2y2 + 5x2 y2 to polar equation

A: The rectangular equation is x2=-2y2+5x2y2

Q: True

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Q: Suppose that $2,500 is deposited into an account paying 6.2% interest compounded continuously.…

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A: SOLUTION-

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Q: In spherical coordinates, the integral equivalent to None of these. 2πT π/2 2 S 6,²¹² 6² p² sin…

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Q: Evaluate the following: fo(5x²y³ + 3x) dydx a. b. ff ex+ydA where R = {(x,y)|-x≤ y ≤x, 0≤x≤ 2}

A: To find the value of given double integrals.

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Q: Use the linear approximation to estimate In (√0.99).

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Q: evaluate lim x →0 sin x-x 3 x

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A: This question can be solved using the concept of functions and derivatives.

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Q: An 84 cm wire is cut into three pieces. The second piece is 4 cm longer than the first piece and the…

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Q: Evaluate the integral. (Use C for the const dx 15 √ 5x(1 + 5x)

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Q: Convert each degree measure to radian measure as a multiple of . Do not use a calculator. (a) 135°…

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Q: Use the linear approximation to estimate In (√0.99).

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Q: Suppose that P = 4.2x² + 1.5y² - 0.1x3 -0.01y3 tons is the production function for a product with x…

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Q: 4. x² + y² = 25 at point (3,4) 2

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Q: Use implicit differentiation to find ∂z/∂x when xz+z2=yxz+z2=y

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