Energy Drinks A survey of 16 energy drinks noted the caffeine concentration of each drink in milligrams per ounce. The results are given in the table below. Concentration of caffeine (mg/oz) 9.1 7.5 7.8 8.9 9.0 8.2 9.7 8.7 9.0 7.7 8.8 8.9 98 9.1 8.2 8.9 Find the mean, median and mode of these data. Round to the nearest hundredth.

Q: 55. A thin metal plate, located in the xy-plane, has temperature T(x, y) at the point (x, y). Sketch…

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A: Given: F(x,y)=-yx2+y2i^+xx2+y2j^ in the area D=ℝ2\ {(0,0)}. To show: Vector field F has no potential…

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A: We have

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A: Given:  N=p+qp+r, p=u+vw, q=v+uw, r=w+uv We have to find ∂N∂w.

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A: To solve this problem, we can use the formula for exponential growth: P(t) = P₀(1 + r)ᵗ where: P(t)…

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A: I have explained everything with in the solution. Please go through that.

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A: Consider the matrices A=1-5-3-421115-21-18, L=100-410541, U=1-5-301-1001. To find the L-1, U-1, A-1.…

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Q: Can we go over this solution please. I am not sure I am clear.

A: To solve this problem, we can use the formula for exponential growth: P(t) = P₀(1 + r)ᵗ where: P(t)…

Q: Assignment 7: Problem 7 Previous Problem Problem List Next Problem Yp = Find a particular solution…

A: I have explained everything with in the solution. Please go through that.

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Q: Solve by hand. Do not give EXCEL or program answers A ​45-year-old man puts ​$1500 in a retirement…

A: Given that the quarterly deposit PMT=$ 1500 Interest rate  r=5%=5100=0.05 compounded​ quarterly  m=4…

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A: Given: A region D bounded by the curve y=e-x , y=0 , x=0 , x=3 and ρx , y=xy. To Find Mass and…

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Q: Use the Chain Rule to find the indicated partial derivatives. N=D+q p+r p=u+vw, q=v+uw, r=w+ Uv; an…

A: Given:  N=p+qp+r, p=u+vw, q=v+uw, r=w+uv We have to ∂N∂u, ∂N∂v, ∂N∂w, when u=9, v=2, w=3.

Q: the form quotient+ remainder divisor

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A: Sol:- To find the endpoint of given graph:- y = 42-x+3 We have to put x = 0

Q: Which of the following 0.33 0.67 a) 0.67 0.67 b) c) matrix is orthogonal? -0.67 0.33 0.67 0.33 0.67…

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Q: Show that (Co.,d) is compact metric space, where d is the chordal metric that Defined on Coo

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Q: Given an arbitrary m x n matrix M and a vector b0, is the solution set of Mv = b a vector space?…

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Q: 1. Use a proof by contradiction to prove the following. (a) If n is an integer and n² is odd, then n…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Complete the table below. % C 20% M $ $35.80 % S $ (Round to the nearest cent as needed.)

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Q: X (c) √ √ ₁₂ √ a ² + y² dx dy if R is the region outside the circle x² + y² = 1 and within the…

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Q: 1-x² 20. f(x, y) = sin ¹(x + y) to 21. f(x, y, z) = √√√4x²+√√9-y 22. f(x, y, z) = ln(16 - 4x² - 4y²…

A: We can sketch the graph of the function.

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Q: a. Tangents are drawn from any point on the line x + 4a = 0 to the parabola y2 = 4ax. Then find the…

A: a. Let Pat12,2at1 and Qat12, 2at2 be the points of contact for tangents drawn from any point on the…

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A: Given: The given function is X-2-x=0. The given interval is 0, 1. Taking 5 iterations. It is…

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A: Given that ∑n=1∞xn is convergent positive term series. And we will prove that∑n=1∞xnn is  also…

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A: Michail Investment is P=$5000 The rate of intrest is r=11% She wants to earn $9000 in interest for…

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Q: Find the solution of with y(0)9 and / (0) - 6. V= +4y=224 sin(4t) + 192 cos(4)

A: This question is about ordinary differential equation.

Q: Use the figure below and the chain rule to estimate the derivative. The graph of f (x) has a sharp…

A: a) we have to find w'(2) b) we have to find w'(4) c) we have to find w'(6)

Q: Let P₂ be the vector space of polynomials of degree at most 2. Let T: P₂ → P₂ by T (p(x)) = p(x) + x…

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Q: Let T be the plane -y+2z = 7. Find the shortest distance d from the point Po=(2, 3, −4) to T, and…

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Q: Now, from 2 q (x, y) = -tan (²77) + g (4) partially diff⋅ w.s. to 'y' S (x, y) = Now, 28 (8,9) - 1+…

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Q: Let R and S be rings, F a field, and f : R → S, g : F → R ring homomorphims. (a) Prove that, for any…

A: Sol:- (a) Let r be an element of R and n be an integer. Then we have: f(nr) = f(r + r + ... + r) (n…

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A: The given functions, 1) 1x-1. 2) -2x+4. We have to graph each of the functions.

Q: Determine the equation for the quartic function represented by the following graph -4 -3 -2 y 8 4…

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