Problems 2 3 concern the temperature of a metal bar that is 2 meters long. Specifically, H = f(x,t) = 50xe-t gives the temperature of the bar, in degrees Celsius, at a point that is meters from the left end of the bar after t minutes of time have elapsed. 2. Find f(2, 1). Include units, and give a complete sentence interpretation of your answer in terms of the metal bar. 3. Graph the following two single variable functions and explain, using a complete sentence, their significance in terms of the metal bar. (a) f(1,t) (b) f(x, 0)

Q: Graph the curves y = x1/3(x - 4)

A:

Q: Find the matrix of rank at most 2 that is closest to A with respect to the Frobenius norm and…

A: The matrix A=1-22-2302-11 By examining the matrix, we can observe that the third row (2 -1 1) is a…

Q: 12. Solve the following: 5x + y = A+1 2x + y = 10

A:

Q: -2d+1=9

A:

Q: solve for A =  2 4 0 0     4 2 0 0 0 0 2 4 0 0 4 2

A:

Q: Find A. 0 2 (2A)-1 = BB A =

A:

Q: whats the answer to (2,1);m=2

A: Here we want to find the equation of the line Passing through the point (2,1) and slope m=2

Q: 1. Solve x2 + 4x + 5

A:

Q: f(-0.5) =

A: We have to find f(-0.5)

Q: -1 4 -1 3 B = 2 4 [2 0 -2 -1 3

A:

Q: 5 3 + s2-8 s2+ 3.

A:

Q: 1. Solve the equation 2x? + 5x + 2 = 0.

A:

Q: a b c.....there are 3 sub parts that you need to solve

A: As per the question we are given a recurrence relation in xn and we have to find : Generating…

Q: Solve the following question ? 2+3=10 8+4=96 7+2=63 6+5=66 9+5=??

A: Given data:- 2+3=108+4=967+2=636+5=669+5=??

Q: I need help solving the Question  number 7.

A: (7) It has been given that there is a strong positive association between annual consumption and the…

Q: 4. -8z -y+3: =1 4r + 4y +== 41 6r + 4y + 7: = 114 5. 3r + 7y - 2: = 37 6r + 7y + 10: = 46 -v+ 2: =-4

A: 4) Given:

Q: 8.) Solve for b 2 = -b + 7

A:

Q: find x andy Xi +y =5+ 4

A: If x+iy= a+ib then x=a,y= b, where a,b are real numbers.

Q: o number 7

A: Candies Blue 15 Orange 16 Yellow 12 Red 14 Green 5 Conditional Probability: E and F…

Q: a = 2 - 9a

A:

Q: 4. Solve 6yx +2–12 = 18

A: Given : 6x+2 -12 =18

Q: An= -An-1+12An-2; A0=2; A1=16 Calculate A3

A:

Q: The table shows the movement of a stock for 30 randomly selected trading days. "Up" means the stock…

A:

Q: 5. 16yk+2 Solve the difference equation + 8yk+1+yk = 6-k, yo = 4, y₁ = 1

A:

Q: Which problem do you need to borrow to solve?

A:

Q: QR %3D S 36 + 2x 'R 8x - 6

A: Given: A polygon whose all sides are equal. So, QR=RS

Q: D) lim f(x)=| 23 E) lim → 8 f(x) = F) lim f(x)= z 2

A: D) we know that, limx→3f(x)=limx→3+f(x)=limx→3-f(x)But limx→3+f(x)=2limx→3-f(x)=-1Since…

Q: Solve 23*- = 32. A. x 11 B. x 1 C. x 2 D. x 4

A:

Q: What’s 3 + 3 =

A: Given expression 3+3

Q: 3 :- 2 | 5

A:

Q: Solve. 10z 5 15 +5 = 60

A: Explanation and solution is given below....

Q: 12) Solve by Elimination a. 5x - 7y =-17 x+7y= 5

A: Since you have posted more than one question  we have solved the first question for you.  For…

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.