QT: The tank shown in the figure below is filled initially with water: a- Find the depth of water at any time. b- Find the time required to empty the tank. ri=2 m h=3m 14-4 hole with Ø 1 em r2 -1 m

Q: In general, b O True O False m n = m n b

A:

Q: Consider 2x° – 3y? = 8 -

A: SolutionStep I :  2x3 - 3y2 = 8Now, 2x3-3y2=8⇒2x3-8 = 3y2ddx2x3-8 = ddx3y26x2 =…

Q: radius of convergence of the power series 2*/n is

A: We will find out the radius of convergence.

Q: Solve the diffeventialequatio n : %3D

A: We have the differential equation y'=4yx . We need to solve this differential equation and find out…

Q: f xe"; f C1)

A: Consider the given function as fx=xex

Q: Solve dy dx cos x = cos x cst ² y

A: A differential equation can be solved using the variable separation method. In this method, the…

Q: sobeit r-9xi+37i+922k and tr=35 here tri- rfindatlof gradffland div where C fixedamonnt

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Q: Fix a € (0, 1). Determine inf(B) for B = {an: ne N}. You can just give your answer for this part…

A: We have to find the  for

Q: Show that Z10 = ⟨3⟩ = ⟨7⟩ = ⟨9⟩a. Is Z10 = ⟨2⟩?

A: We have to find the condition according to the given condition

Q: If it was G,y) -x+y* Van fy =xy^+ In Ge) @ trae false

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Q: L = 三人 メ- b

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Q: Stafe endwer, your or The exply sef is th comneded.

A: The empty set is path-connected. The above statement is  TRUE.

Q: (5+h)? –25 limp0 10. h O True O False

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Q: to wex'tan'! ( x+y" ×キツ

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Q: EX Q+ be aset ab 3 02- aob Jad=s show that (Q+₁0) be age, is it commutative

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Q: (7) Evaluate (" for n = 44 and r = 3.

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Q: y = nedir? (a) (b) (c) (d) (e) In(x² - 4) tan-¹ (²-1) fonksiyonunun tanım kümesi (-∞, -2) U (2, 3) U…

A:

Q: - 2x – 15y = - 1 -x + 5y = – 13

A: To solve the equations:-2x-15y=-1-x+5y=-13

Q: 5. -7 | = x(3x + 8). 5x + 1 true false O

A:

Q: Just #33.

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Q: -1 Find A if (2A)' 4 6

A: Take 2 in outside and transposed both sides

Q: write the given number in the form a ib. 3 - i 2-2i 4ei3e-mil4 2 + 3i 1 + 5i

A: According to the given information, it is required to write the given numbers in the form of a+ib.…

Q: If x1 = x and x2 = x + Ax, what is Ax?

A: We find ∆x as, x1=xx2=x+∆x⇒x2=x1+∆x⇒x2-x1=x1+∆x-x1⇒x2-x1=∆x⇒∆x=x2-x1

Q: Σ 2" + 3" 4" n=0

A:

Q: dy Find for ax xtR ב3 ay

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Q: prone 2 + 4 + 6 + + 2n = n(n+1). for every nz 2.

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Q: Consider o = (12)(45), then o =4. Select one: O True OFalse

A: The given cycle is: δ=1 24 5 The cycle δ is the product of two disjoint cycles.

Q: de 20. J 90² +120 +9 (3y– 2)cy 24. Jy² +2y+17

A: To evaluate the given integrals.

Q: L'E Student activ mdution. ve by mahematic

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Q: 13. Is ABLCD? (Sx+9 C 7x-21y

A: 13. Given  Since both lines are perpendicular, so they will intersect at right angle. Therefore,…

Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about…

A:

Q: e3y dy Vey – 1

A: The given integral is ∫e3yey-1 dy. Substitute t2=ey-1,    2t dt=ey dy in the above integral and…

Q: Acere late ttesigned so that the first two characters are fletters and the last four characters are…

A: In the license plate first two characters are letters and last 4 characters are digits from 0-9.…

Q: Ouer the Belaugle famed by De y-0, zal aud

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Q: Let P* be a refinement of a partition, P. Show U(P*, f, a) < U(P, f, a)

A: Upper Riemann sum and lower Riemann sum are the very important parts of Riemann integration. Lower…

Q: Find the maaimum and miniryem Valiaes of e feencteon Cif exits) feny) Luž-3ary

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Q: Is det(AB) = det(BA)?

A: Use this fact that multiplication of two real numbers is commutative.

Q: build a house in 14 daus One crew can and another Crew can build itin 18 daus. The first crew works…

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Q: i think this is incorrect can u try agian

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Q: dy If y e+14 then- dz 70e+14 O6e+14 D 4ez+14 O 14ez+14 5ez+14

A: Given, y = e5x+14  We have to find dydx