P/Bg bisec tlow rfiNd the rots of the efuation :- { c) = X why E=o,ol in {orll 2.

Q: | 21×VX2 + 1 dx = 14 2- 7, what is 21uV u2 + 1 du? Given that %3D

A: The properties of definite integral is ∫abf(x)dx=-∫baf(x)dx. Use the property of definite integral…

Q: Use špheričal čoördiñatės. Evaluate tet dv, where E is the portion of the unit ball x2 + y² + z² s 1…

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Q: "I INAICATE If THtE fOLLUWINh SRRZES ConveilCE OR DeveRしe。エ0ENTICY Tésrs Uszo. TESTS HT in (4nt -n)…

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Q: K OM = (9 + x) in ; OL = (3x + 13) in %3D %3D

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Q: Fnd the emnd tuber pt e dag emema bedagna ttd be dagn by the thn dent Condtion tar agnal ding y ma…

A: Diagonalization of the Matrix

Q: In grade level school of 220 Stcblente 1os stuents are in arts, 200Stuents lare on The sPOrts team…

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Q: Evaluate * ISS 9z dV E where E is enclosed by z = x? + y? and z = 1 4JT O 3T O 27 ол

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Q: HAy check the exs fence Hin at x= 1 of limot of the Lunitie : %3D 2X+/ fex) = %3D

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Q: . Eualuati losh (12)d2 uhere. C di the Ciscube. lel=2

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Q: Q3 Finel the Foulier Expensian of Hhe funchien delund in a Sigle Porial by he voladons. %3D |

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Q: In r dy If y , then is cosh z

A: Straightway proceed to differentiate both sides,

Q: wwwwwa W the h parbda in vertes fr (0, DIT 14. (0.4) 13. K2.0) (4-4) 17.

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Q: H Lel X be onts. rv. 22, OSXく」 O, otherwine with apuf f as Find o MyS) Var (x). Remark s"transibm is…

A: Given: Let X be continuous random variable with a pdf fX(x)=2x, 0≤x≤10, otherwise. s-transition is…

Q: -Skatch the reglén of Etyndtion , reversed the order of itegral and evaluade dx dy 7 | +

A: We have to sketch and after changing the order of integration evaluate it.

Q: Find the diralind desicatir o7 5 at Paint Pin the diction A where

A: Use the formula for directional derivative and solve accordingly.

Q: 5. (2xsinh2 + 3ycosh2) dx – 3xcosh² dy = 0

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Q: Find the solotion of the differential eaoation thot satisties the qiven nital condiion

A: The given differential equation is,

Q: Suppose that 0 <q<pand that F(h) = L+0(hP) show that F(h) = L+0(ha).

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 5. 9 ycotx %D CSC

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Q: Evaluate S S12zdV E where E is the solid enclosed by z = 1 and z = x² + y² 2. Immmmm

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

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

Q: Eraluate: 1. JJR e-(n^²+yv) the eincles of padii 1& 2 dady, R is the region of between.

A: As per the our guideline, we are supposed to solve only first question. Kindly repost other question…

Q: Eva 6 SSin'z osx dy

A: ∫undu=un+1n+1.     cos2x+sin2x = 1

Q: O Let n be a posidive indeger with n>2 (x) Sten Ca) dx = tonn-t n-2 ton" (x) dx n-1 Derve the reduc…

A: Given ∫tann(x)dx, n≥2

Q: L{e¬at cosh bt} = %3D

A: The given function is e-a tcosh bt. The main objective is to evaluate the value of Le-at cosh bt.…

Q: V2 Find the ual. af the s-lid romes from rot sing the failion Shoun in Fig- about XAxis withini the…

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Q: Let X be a random vuniable with PAF FlnS= %3D otherwise s Find the constunt c J Find ECH and Vor (xS

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Q: Campute the improper in hegnel S, xe

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Q: 4. Evaluat the fellowing usingg Simpson's ţ Fulos hd A-j°x?dx; Aus.(8.667) BaS Z x SAns. (8.7159) .…

A: To use the simpson (1/3)rd rule

Q: Find the rots of Z'+1= d. Hint s i - e

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Q: Evaluate SSS 12z dV E where E is enclosed by z = x? + y? and z = 1

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Q: olfP varies dlrectly as R and ih veas ly as the root of Q. What is the epfect of P if R.is doubled…

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Q: = √ √ XY S: z = 9-x-y, first octant Evaluate xy ds.

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Q: △-マ= △Y AV MS A(4全)+) 山natn- fnbun %3D an)

A: Property a: ∆-∇=∆∇ Note that, ∇fx=fx-fx-h∆fx=fx+h-fx

Q: Thnd the ceneral olution f 学了 differatial 2Sin 20-400520 The squation de

A: firstly we find C.F and then P.I. general solution,  y=C.F.+P.I.

Q: dy is then da In a If y = cosh r

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Q: b) sol v e in e Iknear di tteren tiaı hrst oroer equanon dy 2. り = n2 cosh cen), when り (1)

A: The given differential equation: dydx-2xy=x2 coshex ;          y(1)=0

Q: R Given: RS UV RT RS Prove: VT VỤ

A: We are given the two triangles as :…

Q: m= 43.1 cm, ZK = 40°, and ZL = 65°. Determine the lengt %3D %3D M k 65° L 43.1 cm

A: Please refer to the image below

Q: H.W. Re-Solue the above example oith 4 following FCS) = %3D Ses?+S+5)

A: Given function is, Fs=4ss2+s+5 Taking the roots of the denominator, s2+s+5=0s=-0.5+2.2i, -0.5-2.2i…

Q: 2- Evaluite the Value of 4he next nteg Pation by using Ahe trapezodal rule ; Then Find the absoluto…

A: Given the integral                                   The trapezoid formula is given by where…

Q: Using Eirjenvelue melthed envalie methed +2y dy ?a-2y 3 of

A: Given that, dxdt=-52x+2y   and dydt=34x-2y write in matrix form, x'y'=-52234-2xy for eigen values,…

Q: Sdue the qllowing intial value problem dr ss=ス Sim xe,rc)=3 de Type as aexact rz? anwser, using…

A: Given equation is- drdθ=πsinπθ Then, ∫dr=∫πsinπθdθr=π-cosπθπ+cr=-cosπθ+c

Q: et. 4=-4 and V=S, let 7x) = 4x42C4S 7x) Lnd the wolve of cE (u,v) such that 7'cc)=qc4)-7CV value…

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Q: How do I find the antiderivative by using the power rule I reverse?

A: This can also be broken by using linearity as below

Q: 17. Ray DF bisects ZWDX. If ZWDF = (3x + 13)° and mZFDX = (8x- 7), %3D find the value of x. О12 O 2…

A: If a ray bisect an angle,then angle will be equal between them, ∠WDF=∠FDX∠A=∠B

Q: a) b) Compute E(X|y), Var(X) and Var(Y). Hence, deduce the value of p= Corr(X,Y).

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Q: Evculucte the ntegre ree)dt where re =secttleH, tine TNt C 2

A: The given function is