Solve the following system of equations: (1) x+y+z=2 (2) -x + 3y + 2z = 8 (3) 4x + y = 4

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A: The displacement of an object in motion is described by s( t )

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A: Here water bottle is at height of 80 m initially. We will use equation of motion.

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Q: 7x²-7 x3 Sketch the function y=. i. Domain ii. Intercepts iii. Symmetry using the following steps.

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Q: Which function matches the indefinite integral dx? 2x² ○ F(x)=-2 / ○ F(x) = ¹ + C ○ F(x) = -1/+C ○…

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Q: Assignment: Find all intervals on which the function is positive and all intervals on which the…

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A: As per guidelines of Bartleby i am supposed to solve on first part , if you want more solution then…

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Q: Solve the given initial-value problem. (x + y)² dx + (2xy + x2 - 4) dy = 0, y(1) = 1

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Q: Rewrite sin(x + (x + 5T) in terms of sin x and cos x. Simplify your answer. 6

A: Rewrite  in terms of sin(x) and cos(x)Formula: sin(x+y)= sin(x) cos(y) + cos(x) sin(y)

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Q: W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable. If u(5,0) = 2, us(5,0) = -9,…

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Q: A car rental agency rents 300 cars per day at a rate of $55 per day. For each $1 increase in the…

A: A car rental agency rents 300 cars per day at a rate of $55 per day. For each $1 increase in the per…

Q: I Solve the DE x²y" − 3xy + 4y = x + x² lnx, x > 0.

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Q: AN zy roctored Test QuestionSheet G G DE G G <✰✰0 If a loading ramp is placed next to a truck, at a…

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Q: Consider these 2 functions f(x) = fex ifxco 1+/6x² if x>0 g(x) = e¯* In (f(x) −2) What is the domain…

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Q: For the slope field shown, which could be a family of anti-derivatives? TU 1 +-111 5-111

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Q: *x.f'(x)-f(x), 2 X dx=2+ lnx and f(1) = 2

A: This question is based on quotient rule.

Q: Find the limits. Show your steps. x²-9 x 3 x²7x+12 (a) lim (b) lim x 3 x 3 (c) lim h-0 √1+h-1 h

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Q: We know that y₁(x) = e-9 is a solution to the differential equation - 4 - 117y=0 for x = (-∞, ∞).…

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Q: Assignment: Find all intervals on which the function is positive and all intervals on which the…

A: The function is

Q: Use the scalar triple product to verify that the vectors u = i +5j - 2k, v= 3i - j, and w=5i + 9j -…

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Q: A baseball player swings and hits a pop fly straight up in the air to the catcher. The height of the…

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Q: Find the local maximum and minimum values and saddle point(s) of the function f(x, y) = 2x² — 8xy +…

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Q: A company's marginal cost is given by the function MC = 300 - 2x. Find the total cost of increasing…

A: A company's marginal cost is given by the function MC = 300-2x. Find the total cost of increasing…