03. Find se and *. If f(x,y) = 2e* + Iny² ,and x = 2t + r2, y = ; %3D at r+1

Q: Find the maxamin s in flectlon Points and the in ter Vals on which the function inerease,decrease…

A: follow the solution which is mentioned in step 2.

Q: 2- Find O for: y= In (x+5x) dx

A: Tpoic- Differentiation

Q: is given by Oxy = E(XY) HxHy.

A:

Q: 19) * (xy)* = e ; f ind y' y' = [1+ In(xy)I y' = -y [1+ In Option 2 O Option 4 y' = [1- In(x None of…

A:

Q: a. Determine the marginal p.d.f.'s of X and Y. b. Are X and Y independent? c. Are the event (X 1/2}…

A: It is asked to find the marginal pdf's of X and Y. Marginal pdf of X. fx(x) = ∫0132y² dy=32∫01y²…

Q: d If g(x)=- -S*[e' - In (21+1)]dt, find g(x) Se dx 4 A (2x+1)² 4 B e+ (2x + 1)² Ⓒe* -In (2x+1) 2 D…

A:

Q: (5) If the joint p.d. f. for X and Y is given by f(x,y) = } for 0 < y? <x <1 4 otherwise 3 Then the…

A: The joint distribution of X,Y is given by,  f(x,y) =340&lt;y2&lt;x&lt;10otherwise Note that,…

Q: Suppose that Tis to be found from the formula T=x(ey + e -), where x and y are found to be 2 and In…

A: Suppose that T is to be found from the formulaT=xey+e-y where x and y are found to be 2 and ln2 with…

Q: 1. If f(x) dx = 3, evaluate [[1 + 21(x)] dx using the properties of interga 2. If f(x) dx = -2 and…

A: As asked we can answer question no 1 and 4 as below.

Q: 2 Evaluate the integral S (3x³ – 2x² + x) dx. 1

A: We solve it by integrating polynomial

Q: 2Use divectional devivative delinihion of f(Hiy)=x y'at the divecionof ū =i jatthe Point (le2>

A:

Q: The joint and marginal pmf's for X = automobile policy deductible amount and Y = homeowner policy…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Given the LP Model Minimize: z = x- y subject to: 4х — Зу s0 x + y < 10 х, у 2 0

A:

Q: 4. xy²1₁ X=1, x = 4, y = 0; about the x-axis

A:

Q: If T, is an MVUE of y (0) and T, is any other unbiased estimator of y (0) with efficiency e < 1,…

A: Answer: For the given data,

Q: 36 – y8 -dy y5 Integrate:

A: SOLUTION-

Q: (b) Determine e so that п п c£[(x; - X;)² i=l j=1 is an unbiased estimator of o². s2 ogunl to

A: 6. From the given information, X1,.....,Xn~f be an iid random sample with mean μ and variance σ2. a)…

Q: 6 1) Find the general antiderivative for f(x) = 1+ x?

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Q: Let Ximexp (A). Show i Sulficieny that T-ZXi is Statistics

A:

Q: IN SA Coefticients 4 Linear in two vanabtes: (x-34+4) dx+2(x-ソ-2)dy

A: In the question it is asked to solve the equation using coefficients linear in two variables:

Q: 1 1 Select all the antiderivatives of f(x)=-+ %3D x² +1

A:

Q: 11. Find two different antiderivatives of the function f(x) = 6x² +2ex. 1

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Q: 1 Find the most general antiderivative of the function x3 + 4x

A:

Q: Find the linear approximation of f(x) = In x at x = 1 and use it to estimate In(1.19). L(x) =…

A: Here f(x)=lnx at x=1We have to find the linear approximation of f(x) andAlso find the value…

Q: Find the derivVative of the function. 5. y= In 8v +5 dy dv %3D

A: The objective is to find the derivative of the function.

Q: If g(x)=- A B d- ſ ^ [e' − In(2t + 1) ]dt, find g*'(x) . dx -2 2 (2x + 1)² 4 et + (2x + 1)²…

A:

Q: Find the marginal PDFS fx (x) and fy(y).

A:

Q: Ay 10- Compute the following estimate of J f(x) dx using the graph in the figure. 8- S(4) 6- 4- 2-…

A:

Q: Suppose that L = 27, a2 = 1, and the initial temperature distribution is f(x) = 27 - x for 0 <x< 27.…

A:

Q: If Saz dy = In|ly +1- Inly +2| + c, then S- %3D y2+3y+2 dt = e2t +3et+2 In(e' + 1) + In(e + 2) + c…

A: The objective is to find the correct option

Q: If g(x) = - - S^*[e'- In(2t+1)]dt, find g'(x) . dx A ex-In(2x+1) 4 B

A: We can solve this as follows:

Q: 2. Given f(x) = x' + ax² + bx has critical numbers at x=1 and x=3, find a and b. .2

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

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Q: et Xi- Nco,1) and n=2 T=X,+Xz Show that Tis Sufficiencs y Statistic

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Q: S x2 +2x-10 (2x+4) + 1 JE + 4x +5) Consider dx = x² (x² + 4x + 5) (2x+4) + 1 dx- x² + 4x +5 dx ,…

A:

Q: a. What is P(X= 1 and Y= 1)? b. Compute P(X<= 1 and Y<= 1). c. Compute the marginal pmf of X and of…

A: Problem 2: a. The value of PX=1 and Y=1 is, PX=1 and Y=1=0.20 Thus, the value of PX=1 and Y=1 is…

Q: Find the Integration of: Ja (3sint + esin t) cost dt In 3 2

A:

Q: Compute the flux

A: by divergence theorem flux=∫∫sF.ds   =∫∫∫E div F dv Given F=x,y,zand   S; is the boundary of the…

Q: Solve the following boundary value problem using finite difference method. y." = y1 Or, y:' = y2 y2'…

A:

Q: Suppose that L = 27, a = 1, and the initial temperature distribution is f(x) = 27 - x for 0 <x < 27.…

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Q: Compute the fUlNOW 1 dt t2 + 1 d. dx 1

A:

Q: 12 Sf x² ydxdy 01 In2 2 11₂ SS 2xe dxdy 0-1 3 1 2xy SS- -dxdy 10x+1 4√x 2 S S x²y dydx 00 11-y S S…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: If x = k (1+ e*) dy _ x² + x°ew/ s° +2yeb/a} prove that dx 2xyely/x}

A: NOTE: Refresh your page if you can't see any equations. . ................(1)

Q: Compute the general antiderivative S a"-1 cos(x")dx COS where n > 1 is an integer greater than 1.

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Q: II z= ě Y x - Juv Find dz dv üs ing chein rule.

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Q: 16. If x x y and y x z, then how is x proportionally related to z?

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Q: If g(x) = — _*[e'-in(21+1)]dt, find g''(x) . - dx 2 A ex_ (2x + 1)2 B e* - In (2x + 1) 4 с ett (2x +…

A: Given:  g(x)=ddx∫-2xet-ln(2t+1)dt To Find: g"(x) Formula to be used: Fundamental theorem of…

Q: What value of x minimizes C = 0.005x2 provided that C must be positive and x is within (0,1)

A:

Q: 3 Find absolute extrema for fCx) = x°-9x´+15x -3 %3D in terval [o,3] Oへ

A:

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.