Evaluate the double integral [[ (zy + 2) dA, where D is the set of points contain within the corner points (2, 1), (6, 1), and (6, 9),

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A: The given polynomial function is  on the interval .

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Q: 2. a. C. Determine the critical number(s) for the following functions. f(x) = 17-6x + 12x²…

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A: The given differential equation is

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A: Radius = 60cmdr/dt = 0.01 cm/min.

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Q: 1. x dy dx – 4у = х6 ex 9x

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Q: PROBLEM No. 2. Solve the following differential equation by the method of undetermined coefficients:…

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Q: b.Let f(x)=x²-3x² -1, x ≥ 2. Find the value of af dx at x = -1.

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Q: Q/ solve equations 1- y' = ky 2-x(1+y²) dx =y(1+x²) d;

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Q: A student solves an optimization problem as in Model 1, except that in the problem Mini and Max are…

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Q: The answers for N[T(t)], t=2hr, and t=5hr are wrong.

A: Given:To find: (a) To compute .(b) To find the number of bacteria present when .Note: After seeing…

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Q: The function f (x, y) = x³ - 3x² y + 3xy²-y3-11 22-2xy +49 y2 - 16 x + 208 y + 131 has a critical…

A: In this question, we will solve the all parts.

Q: Show that the function y= x ln x is a solution of the differential equation xy" - y' + (1/x) y = 0.

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Q: Let f(x) = 3x + 3 and g(x) = −3x - 7. Compute the following. (a) (fog)(x) (b) (fog)(8) (c) (gof)(x)…

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Q: Estimate the area under the graph of f(x): rectangles and right endpoints. Rn = 1 over the interval…

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Q: Find the area of the shaded region. -1.0 -0.5 y 8 6 y=3e 4 2 0.5 (1, 3e) y=3xet² 1.0 1.5 2.0 X +

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Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

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Q: (a) Find the unit tangent vector on the curve r(t) = [cos(t),2t, 3sin(4t)] when t = 0. (b) Evaluate…

A: Given curve:Unit tangent vector is given by,Therefore,

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Q: For which value of t does the line given by the parametric equations x = t -1, y = 1+ 2t, z = 3 - t…

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Q: Use the quadratic formula to solve the equation. Give two forms for each solution: an expression…

A: The given quadratic equation is

Q: Evaluate the following integral using integration by parts. Se 10x cos x dx

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Q: Sx ³√x²+4 3 S

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Q: Find dy/dx and d'y/dx, and find the slope and concavity (if possible) at the given value of the…

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Q: Consider the following curve. ² = sin(20)

A: r2=sin⁡(2θ)

Q: For what values of a and b does lim x→0 a = b = sin (2x) x³ +a+ b 2/2) = x² = 0?

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Q: Find the critical numbers of the function f(x) = 12x5 + 45x¹20x³ +4 and classify them. Round your…

A: To find the critical numbers of the function  and to classify them.

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Q: Write an equation for a line perpendicular to y y 4-4 and passing through the point (-8,7)

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Q: Suppose the solid W in the figure is one- quarter of a circular cylinder of height 4 and radius 6…

A: Suppose the solid W in the figure is a one quarter of a circular cylinder with a height 4 and radius…

Q: 11. Identify the horizontal asymptote of * 3 f(x) = +2 x-2 Oy=1 Oy=2 y=3 Oy=-2 Identify the domain…

A: Horizontal asymptote:If  then the line y=L is the horizontal asymptote of the function f(x)

Q: x³ (4x - 4)5 Let f(x) = 3x² - 3 If we use the method of logarithmic differentiation to find f'(x),…

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Q: (3) Redo Question (2) of Homework 1 using the Exact approach 2xydx + x²dy = 0

A: Given Differential Equation is as follows

Q: Question 7 What is a function that could have 4e4 as its derivative? Question Help: Message…

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Q: Form a polynomial whose real zeros and degree are given. Zeros: -4,0,3; degree: 3

A: Form a polynomial whose real zeros and degree are given.Zeros: -4,0,3; degree: 3