Solve the initial value problem: y'= -0.05y - 5 y(0) = 120 y(t) =

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A: The given problem is

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A: Given that  and  in Quadrant I

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Q: 2. If is the angle between two non zero vectors u and v, where 0° s 0 s 180° then: cos 0 = U.V…

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Q: Plotting the Course With access to the spacecraft's controls, you connect your computer and begin…

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Q: S.Sº Which one of the following Riemann Sums approximates da using 4 subintervals of equal x length…

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Q: True or false: Note: Explaining your answer can either include a counterexample, a diagram or a…

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Q: A company is decreasing production of math-brain protein bars at a rate of 200 cases per day. All…

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Q: If f(n)(0) = (n + 1)! for n = 0, 1, 2, .. find the Maclaurin series for f. ... 200 Σ( η = 0

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Q: Find the inverse Laplace transform of- fes 3² (5²+4) a. ₁ (t-1)U(t-1)+sin2(t-1)U(t-1) b.…

A: The given function

Q: Evaluate CurlF-nds F(x,y,z)=xi+yj + zk, and S: z=√√x² + y²₁ z≤2 and n is outward. S

A: ∬SCurlF⋅ndSwhere F(x,y,z)=xi+yj+zkand S is the surface defined byz=x2+y2 with z≤2,

Q: ƒ'(x) = = x - 1 (2 - x)³ f"(x) = = 2x - 1 (2 - x) 4

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Q: 1 Find the local and absolute extreme values of the function f(x)=x√1-z on [-1,1] (Show your work)

A: Absolute extrema are the largest and smallest value of a function that will ever be.

Q: 49 Find the absolute maximum and absolute minimum values of the function f(x) = x + on the interval…

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Q: (d) farctan x dx

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Q: If sin a = 0.683 and sin ß= 0.522 with both angles' terminal rays in Quadrant-I, find the values of…

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Q: have been given following linear you the syestem equations: of differential x²=14x+16y y₁=-12x-149…

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Q: 16. Find the equation of the solution to dy = xªy through the point (x, y) = (1,3) dx

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Q: Q1. Evaluate lim x → 5 COSX tanx

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Q: ∞ (6) Σ sin n 0

A: given series

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Q: (b) At what rate is the shorter diagonal of the rhombus ABCD decreasing when = ?

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Q: Consider the following. u = 6i + 8j, v = 9i + 3j (a) Find the projection of u onto v. (b) Find the…

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Q: Evaluate the integral. 1/4 S 0 √36-x 5x dx

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Q: the last answer is wrong please check

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Q: a) = 2, giving your answer to 2 decimal places if Find the gradient of the curve y at the point a…

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Q: 6tanx- COSX 2 - 3 sin x

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Q: a) Find the critical point(s) for the function f(x, y) = 3x² − 2xy + y² −8y. b) Classify each…

A: The given function is; f(x,y)=3x2-2xy+y2-8y