2. Prove: BE = DF Key steps of proof: a. ДАВС ДCDA b. 21 = Z 2 c. AABE = ACDF B A. d. BE = DF A D

Q: 3 Prov that x + y² + z ² a ² = πra 3

A: Revolve circle along x-axis using disk method find the volume of sphere .

Q: Solve the equation: 8e = 16i

A: Given equation is : 8  ez = 16 i⇒ez = 2i let  z = x + iy ⇒  ex + iy   = 2i⇒ex (cos(y) +i sin(y)) =…

Q: UI For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 동≡ v X² X₂ V 10pt…

A: Topic:- geometry

Q: dentify the order and degree of the equation () 15 d5y + 3y = 0 - dx5

A:

Q: V2e(1+ i) A e 뜻(1+1) +i) V2(1+ i) D 2(1+i) E B.

A: The given value is e2+πi4

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A:

Q: 4m+3m? 5.) x = 21+m? required:a) xand x"

A:

Q: d) (V125) e) 2lo82(7) elnv5

A:

Q: for

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: b) Evaluate:- 2 6² 44x² In(x) dx

A: Topic = Integration

Q: Q1: Simplify using laws p↔q v r   Q2: Simplify using laws ~p v q →p ∧ q

A: (1) Now p↔q≡p→q∧q→p By using implication law, p→q≡¬p∨qq→p≡¬q∨p So,…

Q: Q2: Evaluate the following b) fe-x³ dx

A:

Q: dz If z = w", then is equal to: dw 7x7 w(1 – 49z8 In w) 7z'w7z²-1 7z8 w(1 – 49z7 In w)

A: topic - derivatives

Q: V1-y² -1 0 kpxpzp (,x + zA),I „«-,S

A: The given integral is: I=∫-11∫01-y2∫0x y2+x2 dz dx dy

Q: Evaluate. 1 6 x dx V16 +3x2 0. V19 A) B) 2/19 -8 C) V19 -4 - 2 D) -219 +8

A:

Q: Problem 9: In the diagram, the dashed lines are parallel to the x axis. The magnitudes of ectors are…

A: Given that,  B=6.9θB=53.0

Q: 2) y=x' – 9x² + 24x – 18; [2, 4] -

A: let y=f(x) f(x)= x3-9x2+24x-18, [2,4] using rational roots tests: x could be :±1,±2,±3,±6,±9,±18 If…

Q: The relationship between x and y, where the purchase price of a good is x and the selling price is…

A:

Q: 18. Evaluate using u-substitution: S dx 1+x10 2x9

A:

Q: dx 19. S 16+9x² A. tan- () + B습tan-' () + ccot- () + c -1 В. + C 16 16

A:

Q: When gases are heated the gas will expand. The expression for a certain gas V(T) = 0.144T + 44…

A:

Q: d dr d² dr² dp d dr dp :(- 8μE d² ħ² dp² (-)" 1/2 dr r d dp 1/2 d = (-8HE)"'"' 8μE ??? ħ² dp

A: Given: ddr=dρdrddρ=d-8μEh212rdrddρ=-8μEh212ddρ. d2dr2=-8μEh2d2dρ2. We have to explain the steps.

Q: How far in units point A from point W? * Riba D) Da 3b) . V(5a)2+ (-b)² V(5a)²+ (-2b)² Option 1…

A:

Q: зхе-МХxcos(Nx) 5- a. Differentiate: y = M csc(Nx)+Nx

A:

Q: Evaluate by Algebraic Substitution: |1+ Vz dz 5.

A:

Q: Find the quotient (1+i) 10 1+/3i )A. 10(1+/3i)- O B.6(V5+21). OCs(V3+i): OD. 16+ Si OE -s(V3-i). D.…

A:

Q: fG) Solve LI4 45(x-4) X-1 4J6C-4) X2-1

A: We solve the limit of given function.