1. Determine the volume of the area in the first quadrant bounded by the curve y = 4 - x² and the axes. Use a horizontal strip revolved about the y-axis. Plot the figure.

Q: A dog food producer reduced the price of a dog food. With the price at $12 the average monthly sales…

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Q: Solve it on paper!

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Q: Find a linear mapping G that maps [0, 1] × [0, 1] to the parallelogram in the xy-plane spanned by…

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Q: Let R(x) = √² Find the limit below. Show all steps and justify each step. R(x) x² lim x18 √1+t²dt.

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Q: 2. If ở = [m, n, 1] is perpendicular to both ả = [5, 1, −2] and ☎ = [3, −3, 6], find m and n.

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Q: Find the arc length of the graph of the function over the indicated interval. y = 6x³/2+3

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Q: r +3 lim- 7-9 √√T-9 V

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Q: Find the maximum and minimum values of the function f(x, y, z)=x+2y subject to the constraints y²…

A: The solution is shown in step-2

Q: Find the marginal cost, marginal revenue, and marginal profit functions. C(x) = 6x; R(x) = 9x -…

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Q: Let R(s, t) = G(u(s, t), v(s, t)), where G, u, and v are differentiable, and the following applies.…

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Q: 9.) Find a set of parametric equations for the tangent line to the curve of intersection of the…

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Q: Find the critical points of f. Assume a is a constant. 1 13 12 = -√3x¹3 - a¹²x 13 f(x):

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Q: Q4 Find the following integral. Show all your work. (2 si 2 sin (20) - 3eº 0³ +1 O√O +π. In (0))) 0…

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Q: The value of a timber forest after t years is V(t) = 490√t - 35t (for 0 ≤ t ≤ 50). Find when its…

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Q: The answer

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Q: The number of times a new pop song has been downloaded t weeks after its initial release is given…

A: We have to find the time at which there are maximum downloads, then find rate of change and number…

Q: can you try it again? it is wrong. i dont know how you got A. it only needs C

A: The solution is shown in step-2

Q: Simplify. Write your answers in the form of a + bi, where a and b are real numbers. 8 + i -7-5i O A.…

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Q: Estimate the indicated derivative by any method. (Round your answer to three decimal places.) y =…

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Q: Problem #10: Suppose that the position vector of a particle is given by r(t) = 5ti + (4t² + 8)j + 3…

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Q: a. f(x) = 5x +9x³ +12x² - 7x f'(x) = b. f(x)= 0.03x² -0.4x+10 f'(x) = b. f(x) = 10x³ +5x*-8x f'(x) =

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Q: in. (4) in. n(3) in. 3 in. A particle is traveling at a certain velocity modeled by v(t) ==, where t…

A: Explanation of the answer is as follows

Q: Match the vector coordinates to each Cartesian vector. y M 4 A D -4 B G C 2 -2 0 2 -4 14. GH 15. JK…

A: As you posted multiple subparts I need to solve only first three subparts.

Q: Find the vertex, focus, and directrix of the parabola. (x+3)²=16(y-3)

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Q: 10. ²x+6 (Partial Fractions) (Ans: 2 In x- - - in |x + 3| - arctan () + C) 3 x + 3x

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Q: Find the general solution of the given higher-order differential equation. y"" + 3y" + 3y' + y = 0…

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Q: Estimate the derivative from the table of average rates of change.(Round your answer to one decimal…

A: Estimate the derivative from the table of average rates of change.(Round your answer to one decimal…

Q: Find the area of the shaded region. -4 x = y² -3 -2 y 2 -2 -3 y = 1 X = e) 2 y = -1

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Q: ion (see figure). A Utility company plans to lay electrical cable underwater from the island to the…

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Q: Consider the equation below. 2 1 + sin(0) (a) Find the eccentricity. e= r= li

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Q: ind the area of the region enclosed by the curves x=y²-4y and x=2y-y² Area =

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Q: The curves r₁(t) = (3t, t², t4) and r₂(t) = (sin(t), sin(4t), 5t) intersect at the origin. Find…

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Q: Solve it on paper!

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Q: 5. Show that f(x, y) = x² + 4y² - 4xy + 2 has an infinite number of critical points and D = 0 at…

A: The solution is shown in step-2

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: 4. The diagram is a rectangular prism. Let ủ = AB, v = AD and w = AE. Express each vector as a…

A: Given ,  and

Q: Find the area of the surface x² - 5 Inx+√39y-z=0 above the rectangle R, where 1 ≤x≤5 and 0 sy≤1 in…

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Q: Find the general solution to the given differential equation. (Remember the constant of…

A: We have to find the general solution to the given differential equation.…

Q: Find the center-radius form of the equation of the circle described and graph it. center (0,2),…

A: Explanation of the answer is as follows

Q: Find the extremum of​ f(x,y) subject to the given​ constraint, and state whether it is a maximum or…

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Q: Write the equation for this graph in factored form and general form. (Remember to check your…

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Q: Decide whether the following statement is true or false. If false, tell why. For f(x) = (x+6)³(x-8),…

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Q: Solve it on paper!

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Q: Determine whether the statement is true or false. To solve 5x² = 2x, we can divide by x on both…

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: for a Certain stretch of Road, the Distance du +1) required to stop a car that is traveling at speed…

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Q: possible. I= Y - y such tidl Ty = 66 and whose product is as large as

A: The given equation is x+7y=66Find value of x and y whose product is as large as possible.

Q: Find the area of the region inside the circle r=-6 cos 0 and outside the circle r = 3. The area of…

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: What's the answer for B?

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