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

Q: So S zy dy dx 4 c2 1 Show all steps to evaluate by hand: Vx 2y3+1

A: We have to evaluate the integral                                                    ∫04∫x212y3+1dydx

Q: . What is the radius of(x + 2)2 + (y – 4)² = 36 O 2 4 6. 9. Other:

A: Given query is to find the radius of the circle.

Q: Exy Find dy it y=(t?r1)", x = t?+S %3D

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Q: Calculate AT A and AT b, given A AT A = ATb = Ex: 1 Ex: 1.2 1 1 1 1 2 20 10 20 and b = 110.2 363.6…

A: The given matrices

Q: Sove for x,y,z:   10/x +10/y+10/z =1 15/y+ 15/z = 1 8/x+ 8/ y = 3/5

A: Given: 10/x +10/y+10/z =1 15/y+ 15/z = 1 8/x+ 8/ y = 3/5

Q: a)f V4 - z?dr r²dx = An %3D b)f V2z 22dr 0. A B =

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Q: (Q.)AUSE T.cx)-1 ad Tilx)= X, t fnd TECK) nd 万(x) (b) Find the raats of Ti(K) nd Tiw using the…

A: a) Given that, T0x=1 and T1x=x. Note that, the powers of x as function of Tnx for x2=12T0+T2 and…

Q: V=5ar h for r> 0

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Q: 5-If (a) it represents the upper bound and ( b) represents the lower a-b %3D b) 4 a-b a+b bound,…

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Q: Q4): Evaluate: L SEL(a + 1) dzdydx ;a = constant

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Q: dy Find the values of x and y when = 1. da y = 3w + 2w, x = %3D

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

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Q: Prove that : V.(V×A)=0

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Q: Given the adjacent figure: • ABCD is a square of side (x + 3). • EBFG is a rectangle of length (x)…

A: Given: ABCD  is a square of side x+3EBFG is a rectangle of length (x) and with (x-1)

Q: W[e*, e]3D et equal Select one:

A: Given and To find : W ex,e-x=exe-xex-e-x equal

Q: What is the t-value corresponding to an αα = 0.025 and df = 14?

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Q: 9. The Pength of the Curve ņ = 206ti t2dintj ,0ts IT is :- (0)21 (6)47 (c) 87 (d) 1677

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Q: 15. IT Kis the midpoint of J.JK=&x+11. and. KL= 14x- 1, find JL. 15 JL =

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Q: olve the ODE: u(du-dv) + v(du+dv)

A: Note:- Given problem is not an equation it is expression. An equation contains equality (=) sign and…

Q: The position of a ball, relative to the ground, which is thrown vertically upward is governed by…

A: The position of a ball, relative to the ground, which is thrown vertically upward is governed by…

Q: Find the distance between the following two points: (0, -1) and (2, 0) O 2 O V5 O V13

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Q: d²y Given that x3 + y³ = 2, prove that 4x dx² y5

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Q: T is the midpoint of UX and V is the midpoint of UW. - If WX = y 19 and TV = y − 58, what is the…

A: Given:We are required to find:

Q: Let ū = 97– 123+tk, and let v = 2t² 7 – 8t 3 + 6 k. %3D For what value(s) of t are ū and ở…

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Q: hnd the linear apprakimation ot x:0 to t6-x Weite ny.Ax-b answer in

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Q: Given: EF | RS Prove: a. AFXE ~ ASXR FX b. SX EF RS S X- E R

A: Given, EF||RS

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: © Evaluate A2, where A = that al+bA + CA² = 0. 2 3 -5 5), and find a, b, c E R, not all zero, such

A: A = (2  -5)        (3   1)   A2 = (-11  -15)         (9      -14) aI +bA +cA2 = 0 ( a  0)   +  (2b…

Q: tくT find § ft) wheve f o

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