13. Find al values of r+1 NO tlat tlhe graLplh of G( - 1 1)r 14(7 a cireler, (b) ( 1)r (r 1)" 60 57r a point, (e) the cmpty sct.

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: 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

Q: What is the coefficient of x2y" in (5x- y)°?

A:

Q: Consider F = (5æ³y°, 10x7 + 3y±). Then div(F) = Ar²y" + By³. What is the value of A? (no answer)

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Q: Sv-4 - y-3) dy

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Q: flx)= X tah? (X) C 2. f"G) こ

A: We have to use the quotient rule , so we assume u and v and find u' and v'

Q: M Find dedz 2 -2 (z*_sh az) 3. y =

A: 1)Find  ∂2y∂x∂z =? given that y=z14-3 ln ax2-2 2) find ∫01∫01∫01 z3y3x3 dx dy dz

Q: 9) Find the value of x that would make s || t. 3(x-8) 2(x + 10)

A: We have given the following information  We have to find the value of x so that line s and t become…

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: , y = X = t+2 t+2,

A: The solution of the problem is given in the next step.

Q: If f(x) = 2x – 1 and g(æ) = a – 2 then (f.g )(0) = O a. -2 O b. 1 O c-1 O d. 2

A: Since, we have been given that f(x)=2x-1 and g(x)=x-2Then our aim is to calculate (f.g)(0)=?

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

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Q: 8. If x = 1- 1 and y = In 1, what is in terms of 1 ? dx (B) 21 (C) -- (A) (D) 212 (E) 214

A: Given x=t2-1,  y=lntdxdt=2t,  dydt=1t Now,  dydx=dydtdxdt=1t2t=12t2

Q: [2 find A-1 if A = |1 -2 [4 0. 0. A= B= 1 D= -1 -1575215

A: We have find the inverse of given matrix

Q: Use the figure 10. Fird MZAE I Find m ZAC 12. Fnd mZAo 3. Find m2 CA

A: Given :- m∠ABD=127°

Q: expression fory 2 cx+

A: Given           y=Ax3+Bx2+Cx+D then                    y'''=

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: 16. Find the value of b so that f(x² — 9)dx = −36. A) 3 B) -9 C) 9 D) -3 E) 0 F) None of the above.

A:

Q: 2lo Find the discontinnity point of &Cz):

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Q: (8) To evaluate f √√x²-49 x -.dx we substitute x = A)7 sec8 B) 7sine C) 7tane D) 7cose

A: We need to fin the substitution for 'x' to evaluate the integral: ∫x2-49xdx

Q: 12. a. If n(AUB) n(A). = 23, n(ANB) 23, n(ANB) = 9, and n (B) = 12, find

A: Some results and theory- For any two sets A,B we have the desired result- n(A∪B)=n(A)+ n(B)-n(A∩B)…

Q: Evaluate: ₁²-du So -3 (x² y²)²7 x+y du dt

A:

Q: The Furchon f(2) is given by f6) = 32+ 42 Find foe) if x 3 2. 1-

A: See the attachment

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: SUppOrE THAt y VEIES DIRECTLY WITH X ANO y =9' WHEN X = 18 X HUIM WRITE A DIRECT RAATES. VAQMOW…

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Q: -4x 2.) y = required:a) find the value of y if x = 1

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Q: PS is a midsegment of AQRT. If QR = y + 91 and PS = 2y + 38, what is PS? R PS = ト

A:

Q: Suppose Hx isa one-to-ens tunctien auch that f-3)-5. Which of the following tacts must be trar?

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Q: D Puanlar) What is the value of y() for y(t) = L"(-

A: Solution: The objective is to find the value yπ2

Q: Starting with y= In(x3) 2 T 2,3. %3D

A: To find: The derivative of y=lnx2+32π. Given: The function is y=lnx2+32π. Concept used: Logarithmic…

Q: [(3+ csc² x) dx = , r 3x- cotx+C a) 3x-3 cot x+C c) 3x+ cot x+C d) 3x+3 ta

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Q: (1) ex-3dx Hint: Use u = ve-3 =Ver

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Q: Find v and w if: [5 w ]=v[- 2 1]. ans. : w = :

A: A vector is a quantity with magnitude and direction. Given a coordinate system a vector can be…

Q: Evaluate with out hoH LnX lim

A: The given limit is: limx→1lnxx-1   As we know from the Taylor series with center 1:…

Q: [2 1 Q2) Find B".A Where A = 3 0 and B = 6 [2 -2 1 3. 1

A: The given matrices are A=21-130-3  and  B=2-21013. Evaluate BT as follows. BT=2-21013T=20-2113