pure water 3 gal/min mixture 1 gal/min mixture 4 gal/min mixture 3 gal/min Assume that tank A contains 150 gallons of water in which 30 pounds of salt is dissolved. Suppose tank B contains 75 gallons of pure water. Liquid is pumped into and out of the tanks as indicated in the figure; the mixture exchanged between the two tanks and the liquid pumped out of tank B are assumed to be well stirred. Write an IVP for A(t) and B(t), the amount of salt in pounds in each tank at time t.

Q: Given y 16e4x + 5e find y. %3D A. y = 16e4x + 5e + c В. у %3D 16е4* + 5ех + с y = 4e4x + 5ex+c D. y…

A:

Q: Suppose you have a bucket of sand containing 9.5 billion grains of sand (9.5 × 10° grains). Most of…

A: Given :Suppose you have a bucket of sand containing 9.5 billion grains of sand (9.5 x 10^9 grains).…

Q: Let a = i − j + k, b = 3i + 5j − k, and c = −i + j + 3k. Find the indicated quantity. a · (b × c)

A: See attached file for a step by step explanation to find the required quantity.

Q: If v=−i−j, find IvI

A: We have to find

Q: 7. Find the difference between V64 and V63. A. ! В. 1 C. 1 4 16 1 D. 48 E. None of the above

A:

Q: A large water tower holds 3 million gallons of water, which has a mass of about 11 million…

A: As there are multipart to the question, we’ll solve the first three parts. If you want further parts…

Q: Q.2: Find u x v, where a: u = (1,–3,4) & v = (3,4, 7), ats b: и %3D (1,2,3) &v %3D (1,5, 2).

A: Given: a u=1, -3, 4 and v=3, 4, 7b u=1, 2, 3 and v=1, 5, 2 To Find: u×v=?

Q: -3 (2): 4 I(2) : 1 g(u: 5 Find 38 (2)

A: Here we have,  f(2)=-3 , f'(2)=4g(2)=1 , g'(2)=5 we have to find 3fg'(2)=?

Q: Given u = 5) and v = (5, -4), calculate u· v.

A: u=<-4,5>, v=<5,-4>

Q: 2. 2 PCn):芝(-リ 2h %3D j = 1

A:

Q: Given u and v as follows, calculate u + v, u – v, and v – u. 2 (a) u (b) и %3D 4 -3- 21

A:

Q: An object is acted upon by the forces F, = (12,6,4) and F2 = (0,5,8). Find the force F, that must…

A: Given that an object is acted upon by the forces F1and F2. We have to find the force F3 that must…

Q: Find aw av aw - dv 2 y when u = 0, v = 0 if w = x² + x₁ x= u=0, v=0 +,x=6u-5v + 1, y = 6u +2v-6. X…

A: Given that w=x2+yx, x=6u-5v+1, y=6u+2v-6. We have to find the value of ∂w∂v when u=0, v=0.

Q: 3. Solve the following initial value problems using Laplace transforms. (a) y' + 5y = sin(2t), y(0)…

A:

Q: let v = (1, 2, 4), u = (6, −1, 2), and w =(1, 0, −3). Calculate the given quantity.  v · (u × w)

A: v=(1, 2, 4)u=(6, 1, -2)w=(1, 0, -3)

Q: H.W: Solve the following equations: ↓ DH. + M X J... Xr...). dx. 2 2 X Ford......... (1-x) 2

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Q: zwk zw/k. (z/w)/k.

A:

Q: Suppose u = (4, 1, 1) and v = (–4, −1, −3). Then: u + v= Ա υ V= u= 2u= -1/v= 7u - 6v=

A:

Q: Given ü = (2,-3) and = (-2,5) find ü v %3D

A: Solution is done in step 2

Q: 3. Suppose that the total population of nearly extinct Coronas consists of 4 remaining birds. These…

A: Population size=4 There are 6 pairs of four coronas.

Q: Assume that u. v = 2, ||u|| = 9, and ||v|| = 3. What is the value of 1u (2u - 10v)?

A: