A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 1-². What are the dimensions of such a rectangle with the greatest possible area? Width = Height

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A: Hi! As per norms, we will be answering the first question. If you need an answer to others, then…

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Q: c) [For Susan Foreman of 76 Totter's Lane, Coal Hill School, 1963, WHO Could See This] A a 5x5 real…

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A: As per our guideline, we are supposed to solve only first question. Kindly repost other questions as…

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Q: 3 8 answers. ||| ||| (in Quadrant 3),

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Q: (au + βυ, y) = a (u, y) + β (υ,y)

A: We have  x, y:=xT310120001y, x, y∈ℝ3 lets prove your script i.e. αu+βv, y=αu, y+βv, y

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Q: 24 If cot(z) = Give exact answers. sin ( 2 ) = cos (1/7) = | tan(²/2) = (in Quadrant 2), find

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Q: Question 2 Solve the differential equation with initial conditions y' - 3y 10y = 4e5t - y(0) = 0,…

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Q: Given that cos(8√t) √nt find the Laplace transform of√√cos (8√t). {√² cos(8√7)} = 0 = e-16/s √s

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Q: In each of Problems 1 through 13, use the Laplace transform to solve the given initial value…

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Q: (a) Assume T: R² → R is a linear transformation with T(1,0) = 3 and T(0, 1) = -1. Calculate T(2,5).…

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Q: sets A and B, n(A U B) = 84, and n(A n B) = 12, and n(B) = 45. Find n(A). symbolic formatting help

A: Cardinality of a set

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Q: Let Find an orthonormal basis of the row space of A. A = 1 4 1.[C ]]}.

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Q: Question 5 Calculate _{te® sinh(4t)}

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Q: 59. Solve for the slope of the line at any point on the circle x² + y² = 25 a. y = x/y b. y'=y/x Cy'…

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Q: Here, g(x, y) = z = 9x(x, y) = gy(x, y) = + y2. Find the partial derivatives gx(x, y) and gy(x, y).…

A: Given function is g(x, y) = x2 + y2

Q: • tan a = 2√6, a € [0, π] 3 •cos 3 = - and sin 3 < 0 5 Find the numerical value of the following: 1)…

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Q: Let A = {4, 5, 10, 21, 24). List the ordered pairs in the relation R = {(a, b) E AXA: alb). (Recall…

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Q: Show that the following are logically equivalent using logic algebra a) pv (p^q) = p b) (p^q) v (~pv…

A: To Show- Show that the following are logically equivalent using logic algebra. p ∨ p ∧ q ≡ p p ∧ q…

Q: wing A= {2,5,6}, B = {1,2,3,7), C= {x|x € [?][?][?], x>0, x <10}, D={10,11} Write out AnB a.

A: Since set C is not clear, so I will solve only part a. Solution a: Given A=2,5,6, B=1,2,3,7

Q: What does the 400 Blows teach filmmakers that they should do about their films and filmmakers

A: The 400 Blows directed by Francois Truffaut is an iconic film of the late 1950s that refined French…

Q: dy The following differential equation is separable as it is of the form dx dy = 3x + 5y dx Find the…

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