Let w = x. In(xy² z° ), then which of the following is O a -2 22 O b. 0 -2 c. 1 Od. O e. 2

Q: Given 5 O a.) 5 O 5 f(x) dx = 12 and 6 [3f(x)+2g(x)]dx + f(x)dx O O b.) 10 c.) 40 5 d.) 32 = 12 and…

A: I am attaching image so that you understand each and every step.

Q: Find Cマ×F ) マ if F (Miyız) 398 sin ni + COs C 8M - gy) t 10zK

A: Given : Fx,y,z = 8sinxi + cos8x-9yj+10zk

Q: Find a · b. a = 3i + j,    b = i − 6j + k

A:

Q: 2. Evaluate da da d. [2√²+3+2 - 2√²+1 - f. J dx x√4x² +1

A: Integrate by substituting

Q: Evaluate the following: 1) E =1 3kk 2) E =o (i+1)?

A:

Q: If x = r +t, y =t° - 5² +9, then at t=2 is dx D a. 8. O b. -8 5 D C. - 5 8 d.

A: Find differentiation of x and y with respect to t and then divide to get the final result.

Q: Find the approximate value of x that makes the following statement true: In(x+2)-3=2 a. x = e² +1 C.…

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Q: ædy – (3xyi – 6y)dæ = 0

A:

Q: Given that V= pz cos o, find VV and V²V.

A: We have given that, V=ρ2zcosϕ We need to find ∇V and ∇2V. We know that gradient of function fx, y in…

Q: lim f(x) = I 2 lim z→2+ f(x) = lim f(x): 2-2 Find f(2) == =

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Q: If 2y - 3x = 5, then at (-1,2) is O a. -3 O b. 3 Oc. O c. -3 O d. 6 614

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Q: :+y Use the change of the variables u=- √2 Mathematica and v= √√2 to evaluate 00 -dxdy.. [Verify…

A: Using jacobians we answer and use various substitutions to evaluate the integral.

Q: GIVEN THE 3 MIX, FIND (1) (1.2) B.C, (1.3) B.C + 3(A+B) A= 3 5430 2445° 2+J 3e³²P 1-j3 3460° 2 4 5…

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Q: Solve: x)4= కు

A: From the given problem:   D2+1y=cosx   So,  The Auxilary equation is:   m2+1=0m2+1-1=0-1m2=-1m=-1,…

Q: If v equals u +at.Find t when v equals to 18,u equals 9,a equals 2?

A: The given equation is v=u+at. To find the value of t, we have to substitute values of other…

Q: 19.Which of the following can be integrated using substitution? O A Sæ sin?z dæ O B. Sæ sin(x?) dæ O…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: If y? dy = is =I, then O a. 1/2y O b.x/2y O c. 2y/r O d. None O e. 2/r

A:

Q: Find a · b. a = 8i + j,    b = i − 7j + k

A: Dot product a.b?  Where a = 8i + j b = i − 7j + k

Q: What is the length of DE¯¯¯¯¯¯¯¯ in the image provided

A: From the given figure it is clear that AC=x+3,AB=BE.

Q: 4. Find AP. YA Where [5] 55° BP L8] ZA ZB ino

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Q: Which of the following is equal to a +c 1' +c O o O

A: The given integral is ∫x6 dx To solve the integral we use power rule of integration , ∫xn dx =…

Q: the answer

A: Given, the function                         u=1x2+y2+z2 To verify…

Q: If F =, and C:x +y =16 (in the first quadrant). Then (F•dr is equal to a. -87 O b. 27 O c. Od. -5/2

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Q: Which of the following is a solution of the equation 2sin2x - 3sinx + 1 = 0 in the interval [0,…

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Q: fe* sin 2xdx.

A:

Q: 49 Vã.) х dx х. Let u = х — 9 36

A: Given:

Q: (2x)· (금u) O 4 O 2 O 16 ||

A: Given that w.x=8

Q: Evaluate 2z dV, where E is the solid hemisphere r +y + 22 0. E

A:

Q: a² cos(2a + 3) dæ .

A: In the question, the function x2cos(2x+3) is to be integrated to find the required answer.…

Q: (In a)? dx Choose 1 answer:

A: