Find the positive values of and y that minimize f = x+y if xy = 16. 1. x 2. y =

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Q: Determine whether or not the given functions are inverses of each other. Show your work leading to…

A: To determine whether the given functions are inverses of each other or not.

Q: Convert the following product into pi notation.. 10 12 3 11 . 12 . 13 4 14 5 ...

A: As we know that  ∏i=1∞an=a1·a2·a3·a4······

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Q: Given f(x) = 3 sinx, determine the value of c on (0, - 2 by the Mean Value Theorem. c Ex: 1.23…

A: Topic - Mean Value theorem We are given, f(x)=3sin x  ,  0,3π2 We know that ,by mean value theorem…

Q: The radius and height of a right circular cylinder are measured with possible errors of 4% and 5%,…

A: Given the radius and height of a right circular cylinder are measured with possible errors of 4% and…

Q: √2, and 4. Let a₁ = V an+1 = √2+ an Vn E N. Show that {an} is a monotone sequence by mathematical…

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Q: 1. Find the volume of the solid generated by rotating the region enclosed by z = 2y², x = y² +1…

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Q: Consider a particle moving along the x-axis where x(t) is the position of the particle at time t,…

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Q: Sketch the graphs of the following functions. 9. f(x)=x³-6x² + 12x-6 10. f(x) = -x³ 12. f(x)= x³ +…

A: Sketch the graphs of the some given function. 9) f(x)= x3 -6x2 +12x-6 11) f(x)= x3+3x+1 13) f(x)=…

Q: Question 6 3 (1+x²) y' = 2xy(y³ - 1)

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Q: Question Use the method of partial fractions to evaluate the following integral. √ 23 ²2 64 da dx x3…

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Q: 2. Expand. (a) 2+² (b) e-lnx (c) log3 (2xy)

A: Use laws of surds and indices

Q: 1. Find the minimum and the maximum of the function f(x, y) = x² + xy + y on the set: D={(x,y): 0 ≤…

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Q: Consider the function H(x)= (e^3x)/(x^3) a. Find the derivative of the function b. Find the equation…

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Q: 1. Among 200 people, 150 either swim or jog or both. If 85 swim and 60 swim and jog, how many jog?

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Q: (r)3$2-4 1-= 4

A: Given differential equation:- x4y'=-x3y-cscxy

Q: For the pair of functions f(x)=√√4x + 3 and g(x) = 9x-16, perform the indicated operation and find a…

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Q: A Moving to the next question prevents changes to this answer. Question 2 What is the general…

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Q: 1-2x²x4 (i) lim X118 5+x -3x4

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Exercise 6 Limits The following graph of the function f satisfies lim f(x) = 2 . For & = 1.5 find a…

A: Given that limx→3f(x)=2  and ε=1.5

Q: K The equation below gives the position s= f(t) of a body moving on a coordinate line (s in meters,…

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Q: Let C be a plane curve given by the parametric equations x = f(t), y = g(t), a ≤t≤b. Suppose that C…

A: Let a curve C be parametrized by x= f(t) and y = g(t),

Q: Suppose that f(x, y) = y√³+1 on the domain D = {(x, y) |0 ≤ y ≤ x ≤ 5}. Then the double integral of…

A: NOTE: Refresh your page if you can't see any equations. . from the figure, we can write the limits…

Q: Find all points of intersection of the given curves. (Assume 0 ≤ ? ≤ 2? and r > 0. Order your…

A: Given, r=sin2θ, r=1

Q: Determine the type of DE (select all that applies): dr dᎾ + rsec0 = cos( Separable Exact None of…

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Q: Find an open interval about x on which the inequality | f(x) − L| 0 such that for all a satisfying 0…

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Q: If ƒ(x) then f"(x) = · = 0 X (t³ + 5t² + 1) dt -

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Q: 6. Consider the surface in R³ defined by x² + y² - 2z² + 6x - 8z = 7. (a) This surface is a quadric…

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Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) = 5x² +…

A: Given query is to find the derivative using definition.

Q: y=x^2, y=x^3 between x=0 and x=2

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Q: If f(x) = 2x(sin x + cos x), find f'(x) = f'(1) = (do not distribute) (round to 3 decimal

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Q: If w = 9x² - 4y, x = -6s+3t, and y = = Provide your answer below: Əw = Ət -4s + 9t, find dw Ət in…

A: Please see the below picture for detailed solution.

Q: Let f(x) be a function defined on [0,1], such that f(0) = 0 and f(1) = 1 . Which of the following…

A: Option (1) and (2) are correct

Q: Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total…

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Q: Q is the region bounded by the graph of v(y) = 5y, x = 2, and y = 0. Find the volume of the solid of…

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Q: f(x) = x²(x

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Q: Solve the equation using the quadratic formula x squared - 4x + 13 =

A: Given query is to find the solution of the quadratic equation.

Q: Let f(t)=(t^2+4t+8)(2t^2+5)  find f'(t)= find f'(3)=

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Q: Find the general solution of the equation y'' + 5y' - 6y = 0 Use lower case c₁ and c₂ for the…

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Q: Given: y' + y = y²(cosx - sinx)and y(0) = 2, Find C OA.0 OB. 1/4 O c. 1/2 OD. 3/4 OE. None

A: Let's solve given diffential and find constant C.

Q: Given 2y-√x-z+2√-5y-4z = -5, calculate Provide your answer below: || dz dx

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Q: The table below gives for the value of continuous function f at each a-value. Using the Intermediate…

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Q: determine the first 4 terms of the taylor series: a. lnx centered at a=1

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: A man 5.5 feet tall walks at a rate 3 ft/s directly away from a street light which is 22 feet above…

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Q: Solve the following DE: dr de +rsece=cos0 Or(sece+tane) = 0 - cose + C Or(sece-tane) = 0 + cose + C…

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Q: 3. Rewrite 3 log2 (a) + 4 log2 (b)-5 log₂ (c) as an expression of the form log2 (something).

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Q: 2. Use integration by parts (showing all working) to find the Gini coeffi- cient when the…

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Q: what is the integrating factor that can be used to solve equation ty'(2-4t)y=e^-tcos(2t

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Q: Find an nth degree polynomial function with real coefficients satisifying the given conditions n=4…

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