The sum of two nonnegative numbers is 500. What is the maximum value of the product of these two numbers? The maximum product of the numbers is

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Q: (A) (B) (C) (D) (E) What is the derivative of 1 x² + 1 1 x + 1 1 √x² +1 X x² +1 2x x² + 1 f(x) =…

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Q: 3. Determine the line of intersection of each system of equations. a) 2x + y - z = 3 x + y = 2 x=z=1…

A: Please see the below picture for detailed solution .

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Q: Find u v, uu, |v||2, (u v)v, and u. (3v). u = (2, -2, 4), v = (0, 7, 4) (a) 2 (b) 24 u. V UU (c)…

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Q: Consider the function. f(x, y) = 9 - E COMITEE (b) 0 = Find D f(2, 7), where u = cos(0)i + sin(0)j.…

A: Given function:- fx,y=9-x7-y4

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A: Here we have to find the global extrema.

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Q: derivative f'(x)? Let f(x) = (e +ln(x²))³. Which of the following represents the first (A) 3 (eª +…

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Q: Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Given the curve Find the following at point P(1,0,0). 1. the unit tangent. 2. the unit normal. 3.…

A: Note:- According to company guideline we can do maximum 3 sub parts, so that i am solving here first…

Q: Given the matrix equation: 1 [223] [] -2 4 -18 Which of the following represents the solution to…

A: The matrix equation is given by 13-24xy = -1-18 To determine: The solution of the equation.

Q: Suppose f is continuous on [0,13] and differentiable on (0,13). If f(0)=3 and f′(x)≥9 for all…

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Q: Two steps of the Gauss-Jordan elimination method are shown. Fill in the missing numbers. 11-14 95 60…

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Q: 1. The graph of a function f is shown. Sketch the graph of f. A. B. C. D.

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Q: Given f"(x)=8x-5 and f'(0) = 4 and f(0) = 3.

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Q: Suppose 4x² + 16y² = 100, where x and y are functions of t (a) If y, find when x = 3 and y = 2. de…

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Q: (a) Find the equation of the tangent line to y = In x at x = 1. (b) Use your answer to part (a) to…

A: a) The given data is: y=lnx  Find the equation of the tangent line at x=1 At x=1, y=ln1y=0 ∴point is…

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Q: For the function f(x, y) = that has a positive a component. -2 y find a unit tangent vector to

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Q: Consider the function f(x) = 8x + 5x-¹. For this function there are four important intervals: (-∞,…

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Q: Find the limits, if they exist, or type "DNE" for any which do not exist. 1) Along the x-axis: 2)…

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Q: Let x = 2.99999.... (a) Is x 3 x = 3 O x < 3 and x = 3 O It cannot be determined. (b) Sum a…

A: Solution: Given data, x =2.999999....

Q: As I drove on the freeway this morning, at first traffic was fast as usual. Then it moved slowly…

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Q: Find the volume of the solid that lies under the paraboloid z = 81-x² - y² and above the unit circle…

A: To find the volume

Q: Find the general solution to the system x' = Ax, where A is as specified below. Make sure write the…

A: Note:- According to the company policy we can do only one question so please upload the next…

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A: Given:

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A: Given expression ∫abf( x )dx = F( b ) - F( a ) ∫f( x )dx = F( x ) + C

Q: Find the critical point(s) of the function. f(x) = x-²-5x-¹ (Give your answer in the form of a…

A: Given :- fx=x-2-5x-1

Q: Using separation of variables technique, solve the following diffe equation with initial conditions…

A: dydx=e2x+3y, y0=1

Q: Use the piecewise defined function below to answer the questions. X ≤ -4 -4 < x < 4 x ≥ 4 X 12| q(x)…

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Q: You are designing a fenced-in area in your yard. You have a maximum 50 meters north-south where you…

A: It is given that you have a total of 250 meters of fence and you have a maximum 50 meters…

Q: raph for the derivative of some function f(x) which 1 y 15 13 11 9 7 15 75 -11-9-7-5 -3 -1 1 3 -5 3…

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Q: Use 10th terms of Maclaurin Polynomial to estimate the value of 2 e²x 2x 1

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Q: Run a regression analysis on the following data set, where y is the final grade in a math class and…

A: Solution: Here we are using excel to find the linear equation

Q: The rate of intake, R, during a respiratory cycle for a person at rest is proportional to a sine…

A: The rate of intake, R, during a respiratory cycle for a person at rest is proportional to a sine…

Q: Consider the linear system y' = Aỹ with (a) Find the general solution. 1 4 = (-5₁3) A -1

A: To find the general solution of the linear system y' = A y, we first need to find the eigenvalues…

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Q: an- If the nth partial sum of a series an is sn = 7 - n5-, find an and Σ n = 1 n = 1 n = 1 a1 an = =…

A: If the nth partial sum of a series ∑n=1∞ an is sn=7-n·5-n, then to find a1, an and ∑n=1∞ an.

Q: 1) Given f(x) = ax³ + bx² + cx+d, the slope of f(x) at (2,11) is 13, ƒ"(1)=6, and f(0) = 12, find a,…

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Q: Let f(x, y, z) = xy + 2². In this problem, we find the directional derivative of f at (4, -2, 1) in…

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Q: Find the volume of the solid whose base is bounded by the circle whose center is the origin, whose…

A: The volume of the solid with cross section perpendicular to x-axis is ∫abA(x)dx

Q: Find the area of the region that lies inside both curves. r₁ = 4 sin and 72 = 4 cos 0 OT+4 0 +1…

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