10. Which theorem can you prove, given that mzl=m2 in the figure above? Explain your answer.

Q: x+y uis = 1 n upi = no • prove that x-+ y-

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Q: E. Prove the following: 四- Iz.l 1.

A:

Q: 35 Find the extrem poinbs of Pcxy)=xy Subject to X+y=20.

A:

Q: Using the Convolution Theorem, what is L[h(t)]?

A: In this question, we use the convolution theorem to find the Laplace transform of the given function…

Q: Q Find the deriva tive using the de fini tion (x)

A:

Q: 3. 2 What is the value of the integral 7xyz dxdydz ? 0, Select one: O 133/4 O 135/4 O 137/4 O 139/4…

A: To evaluate: ∫23∫12∫017xyz2dxdydz Let I = ∫23∫12∫017xyz2dxdydz First integrate with respect to x and…

Q: 7. P(0.5 < Z< 1.5)

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Q: 11. S 8a'da = %3D

A: This is a problem related to integration. Based on the general formula of integration we will solve…

Q: (2) = [| (a) %3D h (b) Value(s) that are NOT in the domain of -

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Q: (b) Show by direct computation that D'Alembert's formula is a solution to the problem U-cUrx 0,…

A:

Q: 2. If mZMKL = 83°, mZJKL = 127°, and MZJKM = (9x - 10)°, find the value of x. %3D %3D %3D J MA

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

Q: 13. the , xydA, where ySxsy?}

A: First I have set the limiting double integral from given information and then solved it .Final…

Q: Use Euler's method to obtain a four-decimal following: approximation for t (4 y=2Xy, yC)=1; yU5) =?…

A:

Q: 6. What is the length of JL? Show complete work!! K M

A: Applying Pythagoras theorum first Then similar triangle property Note- we take corresponding sides…

Q: 7) In AXYZ, mLY 80, XY = 14, and XZ 17. To the nearest tenth, what is mLZ? %3D

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Q: i =r+ 1+1 1le n de bifureation? on?

A: This is a problem of Dynatic Model, stability Analysis.

Q: (r(1/4)|? 4u/27 dv Prove that

A:

Q: 4. In the diagram below, Ĝl is parallel to NT, and IN intersects GT at A. Prove: AGIA~ATNA

A: Given :GI is parallel to NT

Q: 2. Estimate the value of V22. + • V22 is between and but closer to Decimal estimate: 22-

A:

Q: 4. Given AGCH use the diagram below to prove ZA 2c. G A.

A: In△ABH and △CBGBH=BG             (given)BG=BH         (1)AG=CH        (2)add (1) and…

Q: 2/3 Determine the length of x=| for 0<ys2. Assume that y is positive.

A:

Q: o what does it con s conditionally conv 1. onvergence for at is the radius of approximation of e √2,

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Q: The Hausdorff dimension of {z ER : |æ| = 4} is d. Answer: = P

A: Hausdorff dimension of the given set is d=5.

Q: 2) Prove that: d? L„0) = n;(n – 1) %3D dx²

A: Consider the given information: Let Laguerre polynomial is given by, Lnx=∑k=0n(-1)kk!nkxk…

Q: 3. How would you classify AG? A J G

A:

Q: 11. Use the error bound for the trapezoidal rule to find the smallest N such that the error in…

A: (11) Consider the provided question,

Q: QUESTION The minimum value of n required to approximate xedx by composite Trapezoidal rule with an…

A:

Q: Q: Prove the trans ferm; formula's by definition of Lapia (Dirac Delta fauncden) %3D

A: A delta function is defined as δ(t-a)=0     for t≠a∞   for t=a      . The fundamental property of…

Q: △XYZ is given with X(2, 0), Y(0, −2), and Z(−1, 1).  Which of the following can be used to prove…

A: Given △XYZ is given with X(2, 0), Y(0, −2), and Z(−1, 1)

Q: [5] Use the Gaussian quadrature to approximate the integral 1 x²e¬*dx. (a) Choose n = (b) Choose n =…

A: As per instruction we are allowed to answer only two sub questions. The generalised Gaussian…

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to .2 x* – 2a" + 36² – 2x…

A:

Q: 27 dr = iex+ h where a, b> 0. Prove that

A: Prove that , ∫-∞∞e2xae3x+bdx=2π33a23b13

Q: A useful consequence of Taylor's theorem is that: |æ – c|" max|f(n+1)(2)| (n + 1)! > (æ)"y| (1)…

A:

Q: (14) Approximate S, x² ex², Using Simpson's rule dp,

A: Simpson's rule is a numerical method used to approximate the definite integral which represents the…

Q: 16. Find he exact soution on The interval [0,2m] 25in?x ャ Bsinx +3= 0 5sinx t

A:

Q: find following timia the exist Pim 1t y ス→。 fim (2'tyo) In (xty?) ()

A: For a function f(x) the expression limx→af(x)=b means that the function tends to value b when domain…

Q: Consider the formula A = Vx Vy.p(x,y) ^ ¬q(x, y). (b) Show that A is falsifiable (i.e. not valid) by…

A: We are given a formula as : A≡∀x∀y.p(x,y)∧¬q(x,y) We need to show that A is falsifiable by giving an…

Q: Suponga P(Z,=K) = 2 Determine la distribucioñ de Zn. Ejercicio (DistrbugER del proceso de…

A:

Q: Evaluate plti 5. S z² dz using the formula [2² dz = A 3

A: This question is related to definite integration, we will solve it using given information.

Q: 12. Suppose that r(t) = 5+502, where t is time in hours. How far does the bus travel in 1 hour…

A: GIVEN v(t)=5+50t2 where t is the time in hour

Q: In ALMN, LN is extended through point N to point 0, mZMNO = (5x – 13)°- mZNLM = (x – 4)°, and m/LMN…

A: Solution-

Q: Q. By e/2silon definition, check the con vergenie of Suquenies 2n+ フ the following く Sn> = ( =…

A: Find the attachment

Q: Oprove Heed A A lnda = 2 - - where feass integmle even funchen

A:

Q: P(x) 1 2 5 6 IRound to fonur darimal nlarae ae neerlad 4)

A: here use binomial distribution with parameter p = 0.7 and n =6 for binomial theorem ,…

Q: The diagonals of square LMNP intersect at K . Given that LK=1, find KN . 1 K KN =

A: For the following given question  Given,  LMNP is a square  and LK=1 then,

Q: 6., Given that= 1' + sy = ) and that y = 1 dr (a) show that for values of r close to 0, 1 when = 0,…

A: Let y(x) is a function. Then the expansion of Taylor series of the function y(x) at the point x=a…

Q: Solve for x in the figure * AJKL is isosceles with KJ = LJ. K x+3 X-1 J 2х- 5

A: Since, triangle JKL is isosceles, so, we have, KJ = LJ