The base of a three-dimensional figure is bound by the line x = y² and the y-axis on the interval [0, 2]. Vertical cross-sections that are perpendicular to the y-axis are rectangles with height equal to 3.

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A: Given foci and vertices of hyperbola .we have to find the equation of hyperbola.

Q: 9. The marginal cost of producing a tablet computers is C'(x)= 1200.06x +0.00001.x² (a) What is the…

A: The marginal cost of producing 'x' tablet computers is C'x=120-0.06x+0.00001x2 a To determine the…

Q: Write a recursive formula for any term of the sequence 28, 14, 7, .... a1 an = = 28 an-1 Submit…

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Q: Q16 3⁰ 3t+2 a) 1 b) J dt dr cos² r√5 + tanz dt (3-5t)²

A: see below the answer and calculation

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A: The objective of the question is representation in summation notation.

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Q: 9. A missile is rising at a constant rate of 100 meters per second. An observer is 600 meters away…

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Q: a. Find the nth-order Taylor polynomials of the given function centered at 0 for n = 0, 1, and 2. b.…

A: a. Given that, the function is fx=e-10x. Note that, the Taylor series expansion for the function fx…

Q: 1-Show that the function :defined by the base f(x, y) = x³ 3xy² - harmonic function

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Q: Suppose the Maclaurin series of a function is f(x)=2+3x+2x² + x³ + x² + .. Find the first four…

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Q: II) Given: • tan a = 2√6, a € [0, π] 3 •cos 3 = and sin 30 5 Find the numerical value of the…

A: given tanα=26,  α∈0,πsince tanα is positive and α∈0,π, so α lies in quadrant 1

Q: Compute each of the following limits. alim √5x²-16 X4-4 2x²+x-1 a. lim x4-1 4x+4 4x²-6x-5 lim…

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A: Topic:- application of integration

Q: a) A population of insects at a rate of 200+10t+0.25t² insects per day (t in days). Find the insect…

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Q: Tutorial Exercise Find the absolute extrema of the function on the closed interval. y = 6 cos x,…

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A: Given, L-12s-1s32

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A: I am attaching image so that you understand each and every step.

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Q: Please answer completely. Step by step. Evaluate. S arccos x dx

A: I have stated the used formulas in the solution

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A: Let, each square as one unit. Graph :

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Q: Tutorial Exercise Find the slope of the tangent line to the graph of the function at the given…

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Q: Write a recursive formula for an, the nth term of the sequence 28, 14, 7, .... A₁ = an =

A: Given Sequence 28, 14, 7............

Q: 6 5 4 3 2- - 1 1 1 0 1 y = f(x) lim I-1 lim 2 h→0 T 3 4 5 6 7 8 Enter each answer as a whole number…

A: (i)  limX→2+ fx-5fx+4 = limx→2fx-5limx→2fx+4                          = limx→2fx-limx→25limx→2fx+4…

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Q: Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = L{f(t)} and n = 1, 2, 3, . . .…

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A: Given that the ellipsoid x2 + y2 + 4z2 = 12. We find the general equation of the tangent plane to…

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A: I am attaching image so that you understand each and every step.

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Q: Numeric Response 3. The number of arrangements of the letters of the word WASHINGTON, if the ASH…

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