19 Given: ZPQR supp. ZQRS, ZQRS supp. 4TWX, ZPQR = (5x – 48)°, ZTWX (2x + 30)° Find: m/QRS

Q: If DF = 2v + 8 and DH = 9v - 20, find DF in parallelogram EFGH. %3D %3D

A: Recall: Properties of parallelogram The diagonals of a parallelogram bisect each other. Given,…

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A: We have to find r't: rt=4ti+t2tj+lnt2k We know that dxndx=nxn-1d lnxdx=1xd lnfxdx=1fxd fxdxdxdx=12x…

Q: R 1. If OR 1 PQ at S, mLP = 30 and PO = 12 cm, Find PQ. %3D %3D

A: Explanation of the answer is as follows

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

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Q: dy Find for the following by using appropriate rules: iv. x² + y3 + (lnx)e♥ = 4. y = Vx(3x2 – 1) V.

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Q: Find for w = , x = 0', y =r+ 0, z = r – 0 2r2 27 2r 272

A: Given query is to find the derivative.

Q: Complete the proof that ZYXZ SUT. P Q R. U W Y

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Q: dy dr a. r+y = 8 Find for the following=

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: dy Use separation of variables to find the general solution to dr + 4xy? = 0. %3D

A: We have to sine given differential equation using seperation of variables

Q: For what values of r does y(t) = ert satisfy y′′ − y′ − 6y = 0? (Show all steps

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Q: 3 - find the absolutt max. and min. o f the Punction rectangular Plate T = x + xy +y?-6 x O x < 5 on…

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Q: Find mZR. R 7 mZR %3D Submit

A: Solution: The objective is to find the required angle

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: 11. If ARST is isosceles, find mZS. V15x-31) (15 R. (9x+11P T'

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Q: Find V²f by the formula V²ƒ =div(grad f) given f(x,y, z) = e³wyz grad f = [| V²f =

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Q: R. 4. Use the information in the figure and prove that VC = CX, making use of reflec- tions. [UCSMP,…

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Q: (a) (x² + y² + z² + w?)3/2 = 4

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Q: aw b- if w = x + 2y + z2, x , y r2 + Ins and z = 2r , find the value of ar .rk)

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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: A projectile is fired vertically upward and has a position given by s(t) = - 16t + 288t + 304 for…

A: s(t)=-16t2+288t+304 for  0≤t≤19

Q: Q3) Find aw dw & ar ds interms of r&s if w = x+2y +z x= y = 4r2 + In 2s & z = 4r X=- %3D

A: Given: w=x+2y+z2, x=rs, y=4r2+ln2s &amp; z=4r. To find: ∂w∂r and ∂w∂s. Solution: Partial derivative…

Q: Q3 Given that w = x + 2y + z²,x = = ,y = r2 + In s, z = 2r X%3D %3D aw aw and ar Find as

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Q: az əz az p?(r+1) Q2: Find if you know that : z = др + pre2p+3r+4t ar 'at t3

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Q: r In y dr, where D is described by 1 < r < 2, e <y<e aD | V1 +r² dy, where D is described by -1<r<1,…

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Q: 3.9FB, AF = 5.2 cm, and FD = 12 cm, 9. If EF = find BF. %3D %3D

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Q: C is given by x = 4t and y = 3t, where t runs from 0 to 2. Evaluate (y/x)ds 45/2

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Q: (10n + 19)° (12n – 4)°

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Q: When two resistors having resistances R1 ohms and 2' ohms are connected in parallel, their combined…

A: While finding partial derivative in multivariable function, if we have to find the partial…

Q: y with i W1 merically

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Q: When two resistors having resistances Ri ohms and R2' ohms are connected in parallel, their combined…

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Q: Find where . Vg r = |7| y g(r) = In(r") si = xi + yj + z 1) to be If you know that Vp x V¢ p = 3xy +…

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Q: If f(r, y) = (3r" + 21 – 12)', then fy is given by : %3D

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Q: onti at t=2 & cx) = 6 r X <2 メー 3メ+2 /25メ<3 is fis wnti at

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Q: -号。 - 4X u (x,o) =3 e 2 , ニ0 y2 Ansl ux,y) = 34(メ+) Ans.l ucx,y) 3 e %3D

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Q: Q4\ If A(x,y, z) = 3x²i + 3zj – 3xk find the Div (Grad A). %3D |

A: Explanation of the answer is as follows

Q: The x, y, zER, subject to the condition yz + zr + xy = 12. Then greatest value of rvzis (a) 6 (b) 8…

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Q: Find nalytical salution to Pnti = (r+)+m possible. an Simplity as much as

A: Given equation is: Pn+1=r+1Pn+m⇒Pn+1=rPn+Pn+m⇒Pn+1-rPn-Pn=m

Q: 16. QT is a midsegment. Find x and y. PT = x- 10x, TS = 24, QR = 6-y, PQ = 2y+ 3 R

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Q: 3. In APQR, PX bisects ZP. If X lies on QR and RX = 10, PR=25, and PQ is 1 more than twice QX, find…

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Q: ON 7 e the double integral || (8x+y)dA R rectangle R = {(x,y) : 0sxs5, 1s pe only the final answer.

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Q: Find mZR. Q 28 28-/2 R mZR = | %3D Submit

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Q: Given f(x, y, z) = In(x² + y? + z?), show that 2 dy? d22 x2 + y2 + 22

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Q: Q4. Find guerel polution of following systens uning either method' of undetermind coefticients or…

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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: D Frnef far s ? syf 2=7

A: You must have idea how to solve the equation. The explanation part is given below.

Q: The x, y, zER, subject to the condition yz + zr + xy = 12. Then greatest value of ryg is (a) 6 %3D…

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Q: R 1. If OR 1 PQ at S, mLP = 30 and PO : 12 cm, Find PQ. %3D %3D

A: Explained below

Q: Given f(r, y, z) = v 4x2 + 6y² + 3z?, find

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Q: Which condition would prove AJKL - AXYZ? K Y 56 7. JL XZ 造=8 KL 8 JK %3D XY

A: We have to find which condition would prove ∆JKL~∆XYZ.