Find two numbers, and y, whose difference is 42 and whose product is a minimum. (Answer as a common fraction, not decimal expression if it is not an integer. Separate cand y with a comma, do not use brackets) x, y =

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Q: 5. Determine an equation of a line that lies directly on the plane: answer). 3x+4y+5z-29=0. (Justify…

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A: Right hand sum formula I = ∆x( f( x1 ) + f( x2 ) + .... ) where x0 , x1 , x2 , ......

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Q: Which of the functions are polynomial functions? (Select all that apply.) > > S 13 33 J U C P e 2…

A: To determine the functions that are polynomial functions.

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Q: Write the sum in summation notation, using the given lower bound. b = 5 , A¡ = = 5 b 5 + 10 + 15 +…

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Q: Find y as a function of a if y" - 14y" +48y' = 70e", y(0) = 12, y'(0) = 29, y" (0) = 28. y(x) =…

A: Given: Here, the characteristic equation is     m3-14m2+48m=0. Now,…

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A: The given data is: at=10k Initial conditions  v0=1j+5kr0=-4i+5j-3k

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A: graph of z=16-x2-y2  is given below

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Q: g'(x) = - g'(x) = g(x) = -4x³ + 14x² + 2x - 63 3

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A: Please see the below picture for detailed solution.

Q: Determine the point of intersection (if any) between the two lines: L₁ :[x, y, z]= [9, −1, 5]+ r[3,…

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Q: Suppose fand g are differentiable functions with the values shown below. f(3) = 6 f'(3) = 7 g(3) = 4…

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Q: Sketch the region that corresponds to the given inequalities. 3x - 2y = 0 x-8y ≤ 0 x = 0, y = 0 O y…

A: The given inequalities are: 3x-2y≥0x-8y≤0x≥0y≥0

Q: Find the Annihilator of the given function(s) f(x)=e²x+4e -3x a. (D-2)(D+3) b. (D+2)(D-3) C.…

A: Option (a) is correct  For detail...go through the solution

Q: The Fourier Series of f(x)= x) = { O FINEO NEM 0, πT-X, −π<x<0 0<x< π over (-π, π) is converges at x…

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Q: Worldwide annual sales of a device in 2012–2013 were approximately q = −6p + 3,010 million units…

A: Annual sales function q = -6p + 3010 let profit function = K

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Q: For the following integral.Sed using n=5 subintervals b) Find the Trapezoid Rule Approximation, as…

A: (b) Given that , ∫01e-xdx , n=5 find the Trapezoid Rule Approximation , as well as the error bound.

Q: Evaluate the following integral. x+1 x²+8x+41 -dx

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Q: Consider the graph of a function f. y X Identify the correct statements about the graph. f"(x) > 0…

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Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

A: Given :ft=t2-1t2+1    -2, 2

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A: Given velocity function v( t ) = t2 - 2t - 3

Q: Sketch the region that corresponds to the given inequalities. 2x + 4y = 4 2x - 4y s 4 20 -10 O -5 y…

A: The given inequalities are:2x+4y≥42x-4y≤4x≥0

Q: C. L dz c. 1³, ( 2²/17 - 24 )

A: Fundamental Theorem part 2If fx is continuous over the interval a,b and Fx is antiderivative of fx…

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Q: Minimizing Packaging Costs What are the dimensions of a closed rectangular box that has a square…

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Q: Consider the function f(x) = 2x³-9x² slope of the function on this interval. By the Mean Value…

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Q: Evaluate the limit lim t-0 ((² (+5) từ ý t Enter your answer in i, j, k form. In(t + 5) t-3 Submit…

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