Suppose you are cooling a hot extract in a 24°C process room. The temperature of the extract right when the heater was turned off is 105°C. After 20 minutes, its temperature is 77°C. What will be the temperature of the extract in 30 minutes? 66.9 deg. C 59.6 deg. C 64.6 deg. C O 56.4 deg. C

Q: 1 -3 4 1 Let A = 1 2 -3 2 4. B = -4 0 -2 [-1 2 5. Find Rank of AB

A:

Q: -48 6

A:

Q: 3/20 + 13/15 combine.

A:

Q: A curve is given by the equation y = ln (2³+¹). x5

A:

Q: Prove that X Pn dx %3D

A: Recurrence relation.  Partial fraction.

Q: 4x e 3x

A: I = ∫4x e−3x dx

Q: 4n – 1

A:

Q: 3s – 7 s- 2s + 3

A:

Q: 2.3 Q13

A: The objective of this question is to use the Squeeze Theorem to show that the limit as x approaches…

Q: 2 3 B={ A= 3 Find: A+B .B+A .A-

A:

Q: 1) S7 (1+x*)²

A: Given: I=∫x3dx1+x42 For evaluating given integral, we substitute 1+x4=t…

Q: - 3 4 3 - 13 - 10 - 10 -3 Find the LU factorization of 9 L = U = II

A:

Q: 6 5 3 5 6 2 Let D =| 4 -5 7 and E = 1 0 7 1 0 -3 2 5 Find - 5D- 6E.

A: given matrices are

Q: 目 +8 LI +T 现 +04 +C4 |F|E|F|| ||||4 4 4 2 2

A:

Q: 2(3+d-1)

A: Solve the given expression  given expression is 2(3+d-1)

Q: 1 3 -2 What is the rank of 2? -81 -1 -2 -6 4 a. 4 с. 2 b. 3 d. 1

A: Given: The matrix, 13-2401-12-2-64-8 To find: The rank of the matrix.

Q: 14. (27 – 3 + 3k ) + 3(7 – !J + k )

A:

Q: 1 + 2n < n° for all integers n² 2

A:

Q: 4.) Which expressions have a negative product? Select all that apply. A. (-1)(2)(-3) B. -(-3)(-2) C.…

A: Solve the following

Q: X ~ N(1, 2)

A: We have find givan normal distribution...

Q: (-3d6w3)3

A: Evaluate -3d6w33=?

Q: find: (m+I) m!

A:

Q: 5 (4k + 3) k 1

A: Given,

Q: Prove that n² +n is divisible by 2, where n E N.

A:

Q: 2 0 (49x2+1)3/2 4.) 7dx

A: Given:The indefinite integral given is

Q: A. 3- 2x 2 x B. (2 - x) 2 3x C. 3(2 - X) 2 3x D. 3-2x2 3x 32. Six is at least the product of three…

A:

Q: f. ā(0)

A: Obtain the velocity vector as shown below: vt→=ddtrt→vt→=ddtsint,t,costvt→=cost,1,-sint

Q: 3. (x³ + 4x² –x – 1) + (x + 3)

A: Here we have to divide two polynomials as shown.

Q: 5х -44 j 2х+ 7 k

A: We have been given that j || k

Q: 5s – 6 Find L s² – 4s + 7.

A:

Q: (7) (-4) + (-4 × 6) x

A: We need to solve algebraic quantity.

Q: 2. (1 + 3/2x − 1)² = 3 + √3/2x − 1

A:

Q: 3(m – 5) + m

A: 3(m-5)+m=0 3m-15+m=0 add both side 15 we get 2m=15

Q: -1-3i 나

A:

Q: 5 6 . Let B= 7 and C%3D 7 -5 4 -3 Find 4B- 3C. 4B 3C = || %3D 2. 3.

A: B=327-5 C=564-3 4B=4×327-5     =4×34×24×74×-5      =12828-20 -3C=-3×564-3         =-3×5-3×6-3×4-3×-3…