Given : GH || KL, J is the midpoint of HK Prove: GHJ = LKJ

Q: ủ (u x) = 0 for all u, v in R.

A: We will prove whether this is true or false as following.

Q: Is it true that for cont. f So Si Axy)dydx = fS, Axy)dxdy| Justify your answer

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Q: Find u. (v x w). u = i v = j w = k

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Q: SUppose that y is continous function over the interval Lo,5] Also suppose we know the following 0…

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Q: 12. Given: RX ITTW Prove RS ST = WS SX I

A: Find the solution below

Q: OMNPQ, with T the midpoint of MN and S the midpoint of QP AQMS = ANPT and MSPT is a O Given: Prove:…

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Q: GIVEN: JP I PR, LK 1 KM, KM || PR. PROVE: KL || PJ.

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Q: If f(u, v, w) is differentiable and u = x - y, v = y - z, and w = z – x, show that fe af af + = 0.…

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Q: e Consider the Jollowing fundion. 2= 50x+4, Find the values of d2. az, uwhen oe = 2 and y: 3.

A: Consider the function: z=5x+yx+2y To apply quotient rule of derivatives differentiate the given…

Q: Q.22.a) S Vx cosvx dx (hint: let u=V) =Vx, et b)S adt et+let

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Q: Complete the following proof. Given: XY 1YR, RS 1 YR XY Prove: SR YZ Y. R. RZ Because XY 1 YR, RS…

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Q: b. x sin y dA, R is bounded by y = x², x = 0 and y = T.

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Q: Determine if variahle perable, Homoaent0us Exact or non-exad" and find fhe dferenpal E quation

A: Given : differential equation                 r+sinθ-cosθ dr+rsinθ+cosθ dθ=0 To determine if the…

Q: E is the midpoint of FG DF = DG Given: Prove: DE I FG

A: From the data we have:

Q: OI ) is Continuous on at and fo-0 then afinite inderval [e, Sup Ifol

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Q: . Show that z)= E kz is D: 1215 continuous io domain

A: The series can be shown as continuous in a domain if it converges. Therefore, the first calculate…

Q: , π/4 sec?xdx=? A T/2 в) 1 (с) п/4 D) o

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Q: Let : R R be different iable on R. Compute de in terms of r. y and . where y

A: Proceed as shown...

Q: et A be 4X4r nas non-brivial . -son-

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Q: (1. show that a) { f} = jw Flw) c)

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Q: XJHL = XJLH, BH 1 HJ, KL 1 LJ. JB = JK.

A: Two triangles are said to be congruent if all three corresponding sides are equal and all the three…

Q: BC//EF Dis the midpoint of BF prove ED congruent CD

A: BC//EF Dis the midpoint of BF prove ED congruent CD

Q: Let C:z-1 in the counterclockwise direction and / = . Lnzdz, J = , zdz, and K = $. cotzdz. For which…

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Q: Let P be outside C(O,r) and S, T e C(0,r) so that PS and PT are tangent to C(0, r). Show that PS =…

A: Given that PS and PT are tangents. We know that the tangent to a circle makes a right angle with the…

Q: Does the followlng intergral Co verge or diverge ? dx

A: Check whether the given integral is and divergence or convergence

Q: Ex 15: Prove that : d du a) tanh u = sech² u dx dx

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Q: R Given: RT = QT, AT = ST A s, Prove: AQSTARAT

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Q: Given: HT || SF, LH = LS and HT SF Prove: AHOT ASTF

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Q: 10. A notice in the newspaper states that home owners with trees taller than 50 feet will pay an…

A: From the given graph

Q: Given : f(x, y) = xty+xy a) Find f. b) Find S, e) Find f. ) Find f,

A: When the partial differentiation is done with respect to a specific variable, then all other…

Q: 19. Given: OABCD; BE | MD: M is the midpoint of AB. Prove: DE = BC %3D E D. A M В

A: We have the given figure as, Here, □ABCD is a parallelogram and in figure BE∥MD. M is the mid point…

Q: What is the volume of the cylinder shown below? Leave your answer in terms of . 14 cm. 6 cm.

A: here we have to find volume of given cylinder   here volume of cylinder = πr2h here r = d/2 = 6/2 =…

Q: Let R = M2(Z12). Then A=[ 8, is not a unit O True O False

A: Answer is false :

Q: GIVEN: UT || DW, UT = DW, QW = AT. PROVE: UQ || AD. W

A: UT || DW , UT=DW, QW=AT

Q: ) Let A. Cse le given by A(x, ウ2tm.) = (M年 Isthe operator e invertible ? If the anserer is He…

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