VT APPLICATIONS VI 1. Solve for the orthogonal trajectories x² (3k-x) - ky² = xy ² 2 2 2 2. A tank initially contains 100 gallons of brine whose concentration is 1/2 lb/gal. Brine whose salt con- centration is 2 lb/gal flows into the tank at 2 gal/min. The well-stirred mixture flows out at the rate of 3 gal/min Find salt content of brine and its concentration after 30 minutes.

Q: 45x(4²)3 3. Express as a single power. 48 a. 43 b. 42 C. 418 d. 46

A:

Q: a3-16a

A: a³−16a ⇒a(a²−16) ⇒a(a² −4²) ⇒a(a+4)(a−4)

Q: 4x 3x + 4 5x

A: In a parallelogram diagonals bisect each other.

Q: Find AB.

A:

Q: 1.6+0.4(x+6)+3.2

A: To simplify the expression means writing it in the simplest form.

Q: 7. Given i = (-4,4, – 4] and [- 5,6, 2] find b. i • i

A: Given:         u→=-4,4,-4        v→=-5,6,2

Q: Part 1,2,3

A: The point is, 6,-2 So, the point is in 4th quadrant.

Q: 1. Plot each of the following polar coordinates:

A: Given, To plot (5,5π3) and (2,-5π4)

Q: e. Which

A: From given figure it is clear that

Q: Evaluate the expression using the given figure to obtain either a or B. 35 -1 (a) tan 12 12 (b) sin…

A: tan-13512

Q: a Calculate the first 28 terms of the Diginacci sequence with starting terms 1 and 1, and then find…

A: Given That:  In Diginacci sequence, First two terms  are less than 100 To Show  : c) It has a term…

Q: 3 33. 3 .2 3.

A:

Q: reed.

A: Hey there! Thank you for posting the question.  Since there are multiple questions posted, we will…

Q: Letters b, c, d and e.

A:

Q: V 2000 1500 1000 500 X 5 10 15 20

A: Given query is to find the maximum volume from the graph.