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

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

A:

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

A:

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

A:

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

A:

Q: Let Ē = Calculate F. dr where r is the Straight line seg ment connecting (1,1) to (2,2)

A:

Q: B) Evaluate S Ln z dz around the circle | z| = 2 %3D

A:

Q: ordinate the qunchon geoo- b. Fnd the se-coordiaste at Hhe implection pornt af the inplection paint…

A: Given: gx=exx+10 We know that for any given functiony=fx at inflection pointx=a, f'a=0, f"a=0 and…

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

A:

Q: GIVEN: V is the midpoint of XZ. XY ZW PROVE: YV = WY V. Y

A:

Q: Which of the following statements are true? I: If F, and F, are 5-dimensional flats in R', then the…

A: Given that F1 and F2 are 5- dimensional flats in R7.

Q: Q: Prove the trans farm; formula's by definition f Laplace -sto L 181t-6)J= ë* (Dirac Delta Funchan)

A:

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

A:

Q: I. Use the composite midpocht rulo to approximate. 2 a) Sendox - For all 4 b) (3x ² √ x² +1 dx thuce…

A: Let h=b−an then the mid point rule is given by ∫abf(x)=h∑i=0nf(xi).Here, xi=xi−1+xi+12 is the mid…

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: . 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

A:

Q: 3. Which Jf the following is equivalent to Laplace transforn the Inteyral. St 3(t -7) Cos 4T d? o e…

A:

Q: Find the tungent Irne of where C: F) = is parallel to xy- plane

A:

Q: In AKLM, R is the centroid. If RQ=10 find LQ. L N P R K M

A: In ∆KLM The centroid of a triangle is "R". The length of the RQ=10. The objective is to find the…

Q: Determine whether d is defined on R. Is it metric on R? d(x, y) = 13x - yl Also: if metric, show…

A:

Q: Sanlcosk) dx which of the following is the velve of the integral in the meaning of Riemann?

A:

Q: absolute absolute error when you vo (12) with T₂(x) at od: Jest Trond.alq2] vib 10 TO 90AU973V803…

A: Let's find absolute error.

Q: Theorem:- af, X2, 13, Xy , Ng be The Yandom sample of size 5 from normal papulation. t, to = 2 t3 =…

A:

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

A: Proceed as shown...

Q: Let Ebe the hemisphere described by Oszs V1-x² -y? | and F=Vz2 + x² + y? i+• v²j+Vz? + x² + Compute…

A:

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: For which value(s) of a and b is y = abx concave up? b>1, a<0 00 0<b<1,a<0 b>1,a>0

A: We have find correct option

Q: C'alculate | (ydæ – xdy)] wherein y(t) (2cos(t), 2sin(t)), 0 < t < 27, is an circumference that…

A:

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

A:

Q: ubegral Fa dx un ntegral as the areg of Q Assuming r>o,compute the tems ing the of r by interpret…

A: The given integrand indicates the circle: x2+y2=r2, with a radius of r units. Limit of the integral…

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

A:

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: GIVEN: QL = QM, LM || PR. PROVE: APQR is isosceles. 1 2 R

A: Given: QL¯≅QM¯          and    LM¯ ∥ PR¯               As LM¯ ∥ PR¯  then ∠QLM=∠QPR   using parallel…

Q: Show thet Pmle) Palx) dx = o for -1 Note: Legendre equotion ll-x) Pm Lx) -2x Pim lx) + mlmeD Pm…

A: Give :  Legendre Polynomials for m≠n To  find : ∫-11Pmx  Pnx dx =0

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

A:

Q: Evaluate o zdz, where C is the circle |2| = 4 taken with counter-clockwise (i.e. anti- clockwise)…

A: