Q: Proue Itort It coso t isino cis4e It Coszo - i sino

Q: y= e fonksiyonunun d'y dy 11 + 27y = 27e dr 11z dr?

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Q: Find the Ye neral solution of the eguation. 6y"_5y_4 y =o %3D

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

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Q: I shift as in Example 4.9 to find the general solu b. (2D – 1)²y = 0 + czx?)e2x

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Q: sin Vr?+y? dzdy Vz²+y? Evaluate: 6' S O (V2 2) 8 (2–/2)= 4 (2-V2)T 8. O (V2 2)m 4

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Q: State fuo oer femnme egual JF.T ds gimn fow line into f.T ds givern that

A: In this question we have to find two other form of line integral.

Q: -R show that D-2D-31 =0 and hence find D", (b) Given that D %3D

A: inverse of matrix

Q: **** / ...* / ** 5).praxe hy.contLadiation.that.far tmaSet A and6

A: Let A and B be two sets

Q: ×」it o2×と o, if x >I olve where gix) = { %3D

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Q: And Dean d red exed deep, thre taprel of fingle prestadee Punc Sutagvelr ave alrily Knen fo ou. T…

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Q: Wnete to y=2x=1 equotion for Hhe line Pacallel the Doinit 4,9) an and

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Q: 650 C. In O T, mPQ = 65°, mR = 80° and mzS = 70°.Find: 1. mzP = %3D 2. mzQ = 3. mQR 800 R. 700 %3D

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Q: ダ= secx Ptove that +イ=243

A: We can solve the problem by the properties of trigonometry.

Q: 2-Which ok the allawing is Tategsal egral domain? and solve them. ZXZ, ZxZ4, IR x Zz x Zu.

A: Integral domain:A commutative ring R with unity and without zero divisor is called an integral…

Q: 2 Evaluate [I, (x² +y² +z? dv, 2 В

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Q: whot is the eq ualion ot thl taney @art lime to the fumctionfra fcx) = x+ 5x-2 at the point (-6;4)

A: We can find the equation of tangent as below

Q: Q111f и %3D (1 —2ху + у?)""/2, Prove that: ди ди y əx y? u3 У ду

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Q: Consider the IVP y" + 2y' + 6y = 0, y(0) = 2, y'(0) = 3 > 0. %3D %3D

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Q: Find the value of X and Y in given that; 1 - 2y 4 7 2 2 - 2x 4 - 5 I3D 3. 2.

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Q: Fin d the sc cond soluhen prr tk edo te edo If Konow that y, =x IS a solotień

A: We will reduce the order of the given given second order homogeneous differential equation using the…

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: %3D Hads findl the unib nomel and the binomd veitor ,F (H)= CamScanner Ligió ä> gus

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Q: Determine Dariuior souHon 2y"+ Sy't 3y •0 : y(O) = 3 , y'C6) •z

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Q: 63. r(и, v) %3D Зи сos vi + Зи sin vj + 18u'k ||

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Q: Evalu‎ate ∫C (x + 2y) ds, w‎here C is the cu‎rve defi‎ned by y = √(4 − x2), for x ∈ [0, 1]

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Q: Q.1) Evaluate rsec(x) 3cos(x) dydx Q.2) Evaluate -dzdrdy 1+y

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Q: Frd he e of teepkan in the at quectert baurded on he let ty he ydx, bebw by tte carve x- boletby…

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Q: becB.2. Evaluatte fhe vpperbound for R,(X) G0 for fulecosx

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Q: O Evaluate the foll owing in tegrals: Ins 2x+y (Sinztcany) dx dy In2 e dydx JA ROSISu, Isys2

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

Q: Considere la ecuación diferencial dy/dx=−ax/y, con y(0)=11, determine el valor de a de modo que…

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Q: find he querage vallwe of he fanction z-cor ox m De mternal ( )

A: fx=x-cos26x,   0, π6.

Q: Given Yy - y = – ỹ Yy - y + y. - ỹ and (y — У )? [(Yj – J,) + ỹ, – ỹ )]² 2. %3D

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Q: O show thet fu) =2a +3b is Candin Uous where a, b are Constants.

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Q: fined the conter, fuci,vedices and ecentrici ty for fhe folowing equetins! I x+uy-4x -8y +4=0…

A: Let us consider the equation of ellipse (x-h)2a2+y-k2b2=1 Center is (h, k) vertices is h±a,k Foci…

Q: Let w = 4x? + y? + z? x = psinpcose y= psinpstno z = pcoso Find dw dw dw de ee de

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Q: zlanstriduz.n 20 9. Hx) %3D 2. 7. a tom Where a and 6= %3D %3D

A: To find  the values of a and b.

Q: Com Pare with C.R.I (n) fc2) AZ 27 %3D

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Q: $ Find the goneral Solutim of the differen tial equatim : (D²-60 +10)y =20-e2x

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Q: I For flay 2) = Vxy?z +4x*y, xy,?>0, compute and

A: Both differentiation are solved.

Q: a the diagram, PU||QT, Ì = 42°, RQS = 82°, = v, UPT =r and QPT = x+40°. Prove that PT|QS. %3D P…

A: Given: PU||QT Concept: Pair of interior angles on the same side of the transversal are supplementary

Q: If W= W[y,, y2.Y3] where y1 , y2 , y3 are twice diffferentiable, W" =W. Select one: O True O False…

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Q: 5) *=ClSln t ,y =4 csst t=-2 %3D a) determine dy b) and graeh

A: we have to find derivative

Q: Expend flx,y) stan' (")n pow ers 6f Cyリ Up to third clegree torms. Hence, Com pute f(1., 0.9)…

A: Given: f(x,y)=tan-1yx

Q: rer, Evalua den (3x1 fnd C: lve Segeant Co0) to (4,2)

A: Line Segment:    Each portion of the line segment can be labelled for length, so you can add them up…

Q: UCe the Vmit de fi miおもn of rhc aefrile へとgral, im ; fcxi)x - 5fしょsdx」 to prove hat ハう fex) dx= -…

A: Prove ∫abf(x)dx=-∫baf(x)dx using the limit definition of the definite integral as follows. By limit…

Q: 2. V9 – y?, y = 1, y= 3, x = 0, about the y — ахis -

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Q: SA (xit) = S'y St ot) SHL %3D Subject to Con d'tions Detesmine the expre ssion tor u(xst).

A: Given partial differential equation is                                 ∂∂tux, t=∂2∂x2ux, t…

Q: 8l Aply ithe / Jesidues de eualuate Calular Cosnede It 20 (oS0+ a?

A: To evaluate I=∫02πcosnθdθ1+2acosθ+a2 using calculus of residues.  Let us consider  z=eiθ Then, on…

Q: Evaluate z cosz dz where C is (1)|z – 1| = 1 (i)피 = 2

A: Answer

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.