Find the su x² + y? :

Q: Q4 If f (x, y) = x sin y + ey asf ax2ay3 Find

A: Let's find.

Q: xpáp -1 dydx In(y)

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

Q: Q4) ut A = :) al let fox)- 2x_4x+5 and g(x)= x?42x + 11, Fiind + 2X + 11, Find @ A ; DA ; © PCA);…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: 'ind, from first principles, f.(3, –1) for f(x, y) = 4x²y² + e%.

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Q: What is t' (x) if t(x) = ? ez

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Q: Find the convolution between x(t) = 2 rect and h(t) =rect() %3D

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Q: Evaluate the Ś Ŝ (x²+2xY+ y% ) dy de when Step Size of xz0.2 and step of y=o.5 ? (use -> Trafezoi…

A: let f=∫01∫02x2+2xy+y2dydx with step size h=0.2 we have x0=0.2 , y0=0.5 fx0,y0=0.22+2×0.2×0.5+0.52…

Q: That is, T'(1) = %3D

A: Given, a recurrence relation T(n) corresponds to the natural numbers, but that "skips" multiples of…

Q: 3-Evaluate Fdr where 2X Cisgiven by rit) = t3+U-3t)rék

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Q: Q4) If VZA = |, such that AAT = 1. Find x? %3D %3D

A: Given that 2A=1-1   -1xT  such that AAT=ITo find x:

Q: Use the convolution theorem to find f (t) 14 l(s+2)(s-5))

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Q: Find the B.C.R let XXgg, Xn vN (@,1) H:0-2

A: We have to find the best critical region which we will find by using neyaman Pearson lemma.

Q: 'ind the Wronskian of any pair of solutions to 2t?y" + 3ty' – y = 0,t > 0.

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Q: Find the su following se

A: Given series is: 10, 40, 160, .......... We have to find the sum of first 10 terms of the above…

Q: (a) (Xn+r)nzo for fixed r≥ 0,

A: Markov chain: A Markov process with discrete time and discrete state space is known as Markov chain.…

Q: Q2/ A/ Find the and ar * iff (x.y) = x - xy, x=r² +s and y =r-s as

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Q: D Express the interval in (a-k, a+R) aad 1 x.-alc.R I(3x+1)?(<!

A: |(3x+1)2| &lt;1 both side we take square roots |3x+1|&lt; +1 3x+1 &lt;+1 3x+1&lt;1    or    3x+1&lt;…

Q: x=In i y=r2, find y " when For x=0• O 8 O 4 O 16 O 2

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Q: Q2: Find the aren bounehd by y=x and y =X+2

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Q: 23. y²dx + (xy – 1)dy = 0

A: Let's find.

Q: Using the infinite transaction method, he question y" + y = cos(3x)

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Q: Verify by substitution that y(t) = Cekt - b/k is a solution ofy '(t) = ky + b, for real numbers b…

A: The given differential equation is y't=ky+b and the function is yt=Cekt-bk

Q: The reverse order of J Só 3xe dydx is equal to 2(e - 1) е - 2 -e

A: After changing the order of integration, solve it.

Q: Let X ~ NB(r, p). Show that E(X*) =-E(Y – 1)*-1 where Y ~ NB(r+1, p). а. b. Use this result to find…

A: It is given that:

Q: In each exercise, obtain the family of solution. 3(3x² + y²) dx – 2xy dy = 0

A: According to our guideline we are supposed to answer only the first question.

Q: -3y(In x)' +3x* (In x) y' =0

A: First simplyfy the given differential equation.Then taking integral on both sides and solve it.

Q: Given y = Vx3 + 1, evaluate dr using delta process.

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Q: r2 (x+68y)ev dydx -1Jo

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Q: const at Verify 4=(e~x-I is the gereral solticn

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Q: 48. Estimate the height of the Gaussans and comparé the height to (2x) .

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: For x=e y=In 2t, find y ' when x=e. x=e• 4e 4e

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Q: Use the substitution u = (x – 1) to find S Tx-1) dr, |(x-1) giving your answer in terms of x.

A: Substitute as given in the question Take the derivative on both sides to write it in differential…

Q: a prob. 174 Find (c) E (XY)

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Q: f(x) = e¬x² + lIn 2 + 32×

A: Given,      f(x)=e-x2+ln2+32x

Q: Use the substitution y = xm to find the general solution to: x2yn - 2xy' - 4y = 0. Show all of…

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Q: If f'cx)= gica) for 0LKLH, then fca)=9(x) for OLxel True or false?

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Q: Use Example 4 to calculate -(r x r'), where r(t) = {t, t2 , et)

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Q: : VERIFY USING CONVOLUTION 5(s? t1)

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Q: x°y + x*y – y = 2x*

A: Given the given ODE is x3y'+x2y-y2=2x4.

Q: Find KCKT) if XC2) is given by: 3. XCZ) = (Z+1)(Z-1)

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Q: let y"(x) + y(x) = 0 be given What would be a suitable solution y(x)?

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Q: Find the abpolute elatia s % emg in XA when Xy=3 and ZA= 0.666

A: Absolute error = |xT - xA|, where xT is true value and xA is a approximate value. Relative error =…

Q: USe Rung KalMä uethad to solve y= X+2y yco)so %3D h= 012 nsl

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Q: Evaluate the convolution between h(t)= e2u(t), and x(t)=2u(t).

A: From the above details we have,

Q: For x=In /t y=2, find y" when

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Q: Find The coefficient cof x ard X in The expasion of Ox°-)

A: We have to find the coefficient of x9 and x10 in the expansion of given series.   According to our…

Q: Consider the systenm o o-21 x + %3D 0 3 Frnel the ennit s tep esponse of the system.

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Q: S Vxi + 2x² + x dx

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Q: Eliminate the arbitrary constant a from the equation (z - a) + y = a O = + 2ry' O = + 2ry Ov =+ 2ryy

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Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.