Evaluate the double integral. y 162²2², 04. + dA, D = {(x, y) | 0≤x≤ 7,0 ≤ y ≤ √√x}

Q: Consider the following cost function. a. Find the average cost and marginal cost functions. b.…

A: C(x) = 0.04x^3 +0.02x^2 +30x +90, 0< x < 1500, a = 1000The marginal cost function is the first…

Q: The Laplace transform of an ODE, Y (s) has been found to be: e S 1 2 1 s² + 1 2 s² + 4 - S +3 (s −…

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Q: (2) Find the derivative: m(x) = =+ 1/2+ + tanx - e³x

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Q: √2-y² X √x² + y² dx dy

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Q: a. SET-UP only the definite integral using disk/washer method that will give the volume of the solid…

A: To set-up only the definite integral by using disc/washer method that will give the volume of the…

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges.…

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Q: Use the Implicit Function Theorem to find the derivatives: a. Find for the equation x² + y - 4 =…

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Q: A firm produces a product that has the production cost function C(x) = 520x + 12,870 and the revenue…

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Q: Pls write on paper thank you, much appreciated : )

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Q: and Continuity Worksheet o determine whether the function is continuous at the point. x² + 2x - 3…

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Q: 11. g(t) = 1 (2t + 1)²

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Q: Use the information listed below to solve parts a through h. CITE Suppose that the demand and price…

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges.…

A: By using the ratio test for absolute convergence to determine whether the series converges or…

Q: Correct. Classify the series as absolutely convergent, conditionally convergent, or divergent. k + 4…

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Q: 4) Find дz Əs when r = 2 and s = 0, if: z = 2x²y = x + y x = 1+s y = ers

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Q: The base of a three-dimensional figure is bound by the line x = -y - 2 on the interval [-5, -2].…

A: As per the given question here the base of the three-dimensional figure is, x=-y-2The interval is…

Q: Use Lagrange multipliers to find the points on the cone z² (x, y, z) = smaller z-value larger…

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Q: 2 cos z = 2 cos² (-)- Prove that sin z tan +2 cos z

A: Prove that : sinx tan(x/2) + 2cosx = 2cos2(x/2).

Q: Find the area of the region bounded to the right by x = y + 2 and to the left by x = y². + 543-2…

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Q: (3). Find the critical numbers 1/ a) b) f(x)=x²-x²-2x+3 f(x)= x(3-x)¹/3

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Q: Using cylindrical shell method, find the volume of the solid S: R is the region bounded by x= y²+1…

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Q: Consider the vector-valued function r(t) = 4t²i + (t5)j + tk. Write a vector-valued function u(t)…

A: Topic: vector valued function

Q: Find the value(s) of k such that the function f(x) is continuous on the interval (-∞o, co). (Enter…

A: Given:We are required to:

Q: Confirm that the integral test is applicable and use it to determine whether the series converge Σ₁…

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Q: X 1/4 - 1/4 g(x) g'(x) f(x) f'(x) 3 -1/2 -2 1 7 2 1 3

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Q: c. SET-UP only the definite integral that will give the area of the region bounded by y = x√x² + 1,…

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Q: b. Find the domain of the function given by the following formula and sketch them in the xy-plane.…

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Q: 2 20 x Ox≥0 OxER OxER, || #1 Ox>1

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Q: y = 7 cos(x), y = 7 - 7 cos(x), 0≤x≤ π

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Q: (b) Describe the relationship between each set of planes, and solve the system if possible: (i)…

A: Here we have given the system of planes consists of three equations:Now, comparing the coefficients…

Q: 10. Given X(7,3) and Y(-6,2), find the coordinates of any point Z such that XZ XY = 41. .

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Q: Find the indefinite integral. (Use C for the constant of integration.) 1 1 x2 20x + 105 - dx

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Q: Show that f is continuous at a if and only if f is continuous* at a.

A: Using, alternative definition of continuity we can show easily that f is continuous function

Q: Use the convolution theorem to find the inverse Laplace transforms of: (a) F'(s) = (8² +9) ² (b)…

A: Given

Q: An? + 15η n=23n – 5n2 – 17 1= 75. Σ

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Q: Given the function h(x)= x(x-4)', find the following characteristics of its graph. Critical point(s)

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Q: |f''(x)| [1+ (f'(x)) 2] 3³/² function of the curve y = -9 sinx, 0≤x≤2. Then graph f(x) together with…

A: The function is

Q: all values of x for which the matrix x² - 1 -3 2 20² +4 4xc -1 e. Determine x x+1 -3

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Q: If g(x) = 8 + x + e*, find g-¹(9). g-¹ (9) =

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Q: A slice of a circular pizza 10 inches in diameter is cut into a wedge with a 90° angle. Find the…

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Q: determine convergence or divergence using any method covered so far.

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Q: Evaluate the integral. (Use C for the constant of integration.) [s sin5(t) cos6(t) dt

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Q: option

A: Solving the problem

Q: Find the average value of the function

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Q: 5.2(5) PLEASE SHOW YOUR WORK STEP BY STEP!! With the function (shown in the image) Determines the…

A: This is question of calculusHere we have to find differentiation of function .Further calculation is…

Q: A function y = f(x) passes through the origin. If the second derivative y" = −sin (2?), determine…

A: Given function y=f(x) passes through origin.The second derivative y''=sin(2x)

Q: Determine the vector, parametric, and symmetric equations of the line passing through the point A(7,…

A: Given:We are required to find:

Q: We will evaluate the following improper integral: ∞ I 1.₁0. dx (x2+3)2 First we will do the…

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Q: Q1/ Using method of least square, fit a relation of the y = ax" to the following data X y 2 144 3…

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Q: A school's Phys Ed department is selling activewear to raise money for new equipment. They are…

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