Given: MN || QR Prove: ΔΜΝΡ AQRP M N R

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: dz where: IZ]=1 e e O 2T O 27i

A: Given:  ∫C f(z) dz = ∫Ce1z dzHere     f(z) =e1z…

Q: Which of the following shows the correct substitution of the variable u into the integral S₁ x√3x -…

A:

Q: XYZ is given with X(2, 0), Y(0, −2), and Z(−1, 1).  Which of the following can be used to prove that…

A: The answer is given as follows :

Q: use ctouble integral in polce cooadinato eva luate in 18f lo where R is . the geguon quadraut…

A: We need to evaluate ∫∫9-x2-y2dA and R is the region in first quadrant within the circle x2+y2 = 9 In…

Q: +00 1 1 : dx x[In(mx)]3 m+3 8

A:

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: V=5ar h for r> 0

A:

Q: Find the value of a such that dx 1 a > 0 x²+a² Select one: 2 IT 1 2 O None of these

A:

Q: The integral 3 + 1 )dx evaluates to Select one: 3 + |x| + C. а. -- x2 3 O b. + x + C. -- x2 O c. 3…

A:

Q: What is the statement for #3 Given: MQ||OP M, N Prove: ΔΜNQ~ ΔΡΟΝ Statements Reasons 1. 1. Given 2.…

A: from the figure we have to prove ∆MNQ≅∆PON

Q: 2. Estimate the value of V22. + • V22 is between and but closer to Decimal estimate: 22-

A:

Q: O prove that : (2) DO 2x e dx a e +b where a, b >o

A:

Q: MN || OP in O0 mMQ = 2(mNP) Given: Prove: M. 2.

A: Given:MN ∥OPProve:mMQ⏜=2(mNP⏜)

Q: 5. Given: EF || JK; JK || HI Prove: AEFG AIHG JG 6. Given: HG KG ZI= L2 %3D IG Prove: EF HI E H

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

Q: Given: z = = x* + zy°, * = ww* + w, y = u +ve" a z Find when u = - 3, v = 2, w =

A: Given: z=x4+xy3x=uv4+w4y=u+vew The objective is to find ∂z∂u, when u=-3, v=2, w=0

Q: | dr = 1 in the following sense: for any ɛ > 0, there exists Ro > 0 so that for any R> Ro, •R 금 de 1…

A: Solution: We have to prove that the integral,                                      ∫1∞1x2dx=1. We…

Q: The area of a circle of radius a can be found by the following integral a. f (a²-x²) dx √a²-x²dx O…

A: Given

Q: Prove Vf(r) f'(r)r r

A:

Q: If 9 = {(2, y) | 0 < y sa < 3}: then: y. Væ +1 dæ dy =

A:

Q: 7) Let Z.= 3x2 - y² . Find all points at which |VZ| = 6 %3D

A: There is an ellipse,  all points on the ellipse are the solutions of given equation.

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

A:

Q: Given: Find: f(x, y, z) a) fxyz 2 c) fyzz d) faxy. cos (4x + 3y + 2z) (10 pt each)

A:

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: FIND a-b - Ci FOR b>o GIVEN PS : f(x) = E [n! (2x + !.)" ] WITH: %3D h=0 ROC : R=q Ioc: Sb A.

A: We will find out the required value.

Q: GIVEN: AG || BC, KH || BC, A 41 = 42. PROVE: HK I AB. 2.

A: Given: To proove: HK¯⊥AB¯

Q: Iff, g e R(x) on [a, b), prove that f? dx + g? dx 2 2 Ifg | dx.

A: Given that, f, g∈Rx on [a, b]We need to prove that∫abf2dx+∫abg2dx≥2∫ab|fg|dx

Q: Using trigonometric substitution, the integral dx would result to M V³dt , what is M 9 - and N? (N…

A:

Q: 4x³ – 3x dx 2x2 + 5 x4 –

A:

Q: If y = In dy then dx 10 10 20 et - E) eT – 10 A) x – B) eT D) 0 eT – 10 10 — еT Of –

A: