2ND SHIFTING 2. g(t) = {(t - 2)3, t> 2 l 0, %3D t< 2

Q: b3 (a 0, b 0) is y The critical point of the function f(x,y)=Dxy+

A: Here we use differentiation with respect to x and y of the function  f(x,y)=xy+a3x+b3y

Q: (1) Let g(x) :| f(t) dt. What is g'(x)? a

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Q: eralvate s Ēodp where C is represientee ぐ F (Xっy)= yi 土 6+) = 28ti + tj

A: To evaluate: ∫CF.dr→F→x,y=xyi^+yj^rt=28ti^+tj^ ,     0≤t≤7

Q: 22 dt at x = 4. ind the linearization of f(x) = 7 - 4 +t

A: Consider the given function fx=7-∫7x+3224+tdt

Q: y" - 3y' =f(t), y(0) = 1, y'(0) - 1 %3D 8 Given L{f(t)}= S-2 2 S+1

A: Given initial value problem is y''−3y'=ft, y0=1,y'0=−1 And given Lft=8s−2−2s+1 We know that…

Q: S. 1-t If f(x) = 2 dt, then what is f'(2)? 1+t?

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Q: If f(3) 12 and f '(x) 2 1 for 3 sxs 7, how small can f(7) possibly be? Enhanced Feedback

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Q: 3t If the moment-generating function of X is M(t) = e, then the moment-generating function of Y=1+-X…

A: The provided information is: The moment generating function of X is given blown:

Q: الموضوع was althe eauation XÝY-2* Ý+4.=2* is a Linear differential Eauation and Heterogenious Dtrue…

A: The given statement

Q: Find the linearization of g(x) = 3 + sec (t - 1) dt at x = -1.

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Q: t6 – 2 1. Determine the equation of the normal line to the graph of f(x) = | dt at x = 2. t3 + 1

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Q: 5. Show that the two functions yn = Aet (interest compounding) and y2 = Ae (discounting) are mirror…

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Q: 3 62 what is 13 | f(t) dt? f(x)dx = 3 6.

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Q: 8. Let y -e=y-x²y. Find dy dxlx=1 be a function of x such that e*-y

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Q: 1losamlov ç5x3-1 Differentiate the function g(x) = [°*¯'sin t dt. -3

A: We have to differentiate the given function.

Q: 6. What can you conclude when dy is changing dx from positive to negative? A) fis at a local minimum…

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Q: A ball is thrown upwards then falls back down to the ground. If h(t) represents the height of the…

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Q: Find the​ consumers' surplus if the demand function for a particular beverage is given by…

A: We are given the demand function for a particular beverage as: D(q) = p=30003q+72 The equilibrium…

Q: d) The function +(xy)-r*r2y) exp G 18xy is homogencous in of degree X and

A: The given function is: f(x,y)=(x2+2y)e2xy+8xy...(1) The function f(x,y) is said to be homogeneous…

Q: Q2: Find all relative extrema and saddle point of f(x,y) = 3xy +y-x' +3

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Q: The total public debt D (in trillions of dollars) in the United States at the beginning of each year…

A: Given : t D 0 5.6 1 5.842 2 6.148 3 6.518 4 6.952 5 7.45 6 8.012 7 8.368 8…

Q: 1 F(s) %3D 2 s+1 s+3 (s+2) 6 F(s) = e-s (s² +4).

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Q: y″” = 8(t — 5), y(0) = y′ (0) = y” (0) = 0, where & is impulse function.

A: Given : y'''= δt-5    ,  y0=y'0=y"0=0 To Find : Solution by Laplace transformation .

Q: An efficiency study of the morning shift at a factory (7:00 A.M. to 12:00 noon) indicates that an…

A: First find the output rate by taking derivative of the production Q than again differentiate it and…

Q: 4. F(x) = (1- t) dt %3D 4

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Q: 2t If X has moment generating function M (t) = the E (X) is equal to 1+3t

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Q: Question 5 What can you derive by applying Associativity (Assoc) to F~O • X)

A: In the given question, the concept of associative property is applied. Associative Property The…

Q: - The antiderivative of f (x) =; whose graph passes through the point (C 3+5sinx+. +3cosx 1(. 5 1(.…

A: Introduction :

Q: Exl. suppose the pdf of r.v. X is [x/8, 0<x<4 fx(x)= {*/8, 0<r<4 . Find the pdf of Y =-2X +8. 0,…

A: Y= - 2X + 8, we have dydx= - 2⇔ dx =-dy2and 0&lt;x&lt;4 ⇔ -8&lt;-2x&lt;0 ⇔0&lt;-2x+8&lt;8⇔…

Q: tổ compute the substitution effect of a change in the price of some good on the demand for this…

A: The answer to the above question is as follows :

Q: 3t – 2 dt t + 1

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Q: 1. (a) Suppose that the changes in power a and drag y are small. Use the linear approximation of f…

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Q: Jester Sports manufactures tennis rackets. The total cost of producing a rackets per hour is given…

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Q: nake/s the DE nonlinear y' =1-xy+ y2

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Q: A) Find the linearization of the function at the given point. f (x, y) = 1+ y ln (6 – xy), at (5, 1)…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: rsin 28x /ī+ t² dt and If f (x) = So g (y) = ' f (x) dæ., what is g" (6s )? 168

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Q: x+2 Find the linearization of f(x) = 6 - 21 dt at x=4. 1+t 6

A: Given a function f(x) at x=4 We have to find the linearization of f(x) at x=4 For solving this 1st…

Q: 10 1. S" f(t) 8(t – 6)dt, f(t) = t2. %3D -

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2 2t #6) A) Evaluate: t´e“dt

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Q: df Find dx by using chain rule if f = u =-1 , x=-1 u+1

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Q: 2 3 4 5 ven the graph of f(x)above, determie the average rate of change of f(x) from x = 1 to x = 5.

A: we have to find

Q: (b) If g(x) = [,! 1 dt, find g'(x) 4+t2

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Q: [4xy + 2x] 5) Let F(x, y) =[ 2x² + 1 Is F conservative? If so, give a potential function for F. %3D

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 2x 7. Find the equation of the normal line to e* In x at x = 1. (A) y = e°(x-1) (B) y =-e²{x- 1) (C)…

A: We find here equation of tangent.

Q: (c) Suppose that two of the pipes become blocked so that x3 = 0 and x1 = 0. Determine the flow rates…

A: Topic - flow diagram

Q: Consider a competitive market in which price adjusts to excess demand or supply and firms enter and…

A: given that                                                 dpdt=0.5qD-qs where qD is demand…

Q: x+3 32 The linearization of f(x) = 2 - dt at x = 4 is L(x) = 1 +t %3D 7

A: Given function is fx=2-∫7x+3321+tdt To find: The linearization of given function at x=4. Solution:…

Q: Find the linearization L(x) of y = e6« ln(x) at a = 1. L(x) =

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