Find two positive numbers satisfying the given requirements. The product is 172 and the sum is a minimum.

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A: Given; a→=i→+5j→-3k→, b→=3i→-2j→+k→

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A: Given: ∫01∫0y2 3y3exydxdy

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A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

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A: We know that if s(t) denote the position of any particle at a particular time then v(t) denotes it's…

Q: 4.lim 1252x-7+2 Sーズ 5. lim e*+1 X-4

A: Let's find.

Q: 1. Use mathematical induction to prove the given statements below. 2 3+2 32+....+ 2· 3n-1 = 3" – 3…

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Q: Let f(x) 5x. %3D Compute f'(64) and find an equation of the tangent line to the graph at x = 64.…

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Q: determine which statement is true (A) Not a function (B) Function; domain: R (C) Function;…

A: This is a function problem

Q: Find two positive numbers satisfying the given requirements. The product is 1200 and the sum of the…

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Q: Given 9. f(x) dx = 5 and f(x) dx -2 evaluate each definite integral. (a) f(x) dx %3D (b) f(x) dx =…

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Q: x³+2x2-3x x² +4x+3 2) Evaluate lim -6-1. X-3 Show every step.

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Q: (5) Find the volume of the wedge in the first octant that cut from the solid cylinder x² + y? < 4 by…

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Q: Sketch the graph the integrands and use areas to evaluate the integrals. V16 – x² dx

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Q: If f (x) >0 and f (x)< 0 for all x over a given part of the domain of a function f, then the graph…

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Q: Solve of the following equation 4 y' +y = x'y? Given by x3 In x – c -x3 In x + c O Option 1 O Option…

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Q: Sketch the graph the integrands and use areas to evaluate the integrals. + dx -2

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Q: The limit represents a derivative f'(a). Determine f(x) and a. 8h lim h - 1 h→0 (Express numbers in…

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Q: 4. If the marginal cost for a product is MC = 2x +9 and the production of 10 units results in a…

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Q: 4.two die are tossed, the probability that the sum of two faces will be 4 11 d) 3 a) 72 b) 12

A: Probability

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Q: Given the two vectors: å = 2ỉ -j+k, b = i + 2k and d = 3ỉ + 5j in 3D. a) Determine the dot product…

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Q: Find two positive numbers that satisfy the given requirements. The sum is S and the product is a…

A: Given that the sum of two number is S

Q: Ginen the point P=(x,y) m @ - (a) find the distance ra/x²+y? the origin O = (0,0) to amol simplify r…

A: See the answer below

Q: 19x + 50 The average cost for a company to produce x units of a product is given by the function…

A: We have to solve above question and find the change average cost

Q: By using shell method, find the following volume a. y = x2 - 4x - 4 and line through point A(1,3)…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 1. Find the derivative of the following: (Simplify your final answers.) f. Q(x) = Jx + Vx + :+ ...

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Q: "If a function is continuous at some point then it must be differentiable at that point". Do you…

A: No, i am not agree. If function is differentiable then it continuous , but not vice versa. For…

Q: The particular solution of the following equation by using the D Operator y" + 2y' + 3y = -2x + 3

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Q: Q2// Solve the following differential equation: e2y dx + 2(xe2y – y)dy = 0

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Q: x³ +2x2-3x 2) Evaluate lim -6-1. x² +4x+3 X-3 Show every step.

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Q: Derivative of f(x) and derivative of g(x) are equal. Then f(x) = g(x). %3D Select one: O True False

A: Answer is given with example.

Q: Conics Find the equation of a parabola that has focus at (-4,0) and directrix x= 2

A: A detailed solution is given below

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A: Integral

Q: (a) Consider the system of equations 11x3 – 3x1 7x — бх2 — 5хз x2 +2x3 – 2x1 = yi = y2 - Уз Rewrite…

A: To write the system of equations in matrix form

Q: Graph the function and find its average value over the given interval. g(x) = |x| – 1 on [-1,1]

A: We have to draw the graph and average value.

Q: 2. Find an equation of the line tangent to the curve r = sin 30 at the point where 0 =

A: We need to find equation of tangent

Q: Use the limit definition to compute the derivative of the function f(x) = Vx + 2 at x = 1. (Use…

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Q: 1. Find the Fourier Transform of - 1 1 f(t) = -1

A: As per the guidelines I can solve only first question