a. Blacksmith heats an iron plate up to 150° C and keeps it off the heat. The temperature in the room is 15°C. Find the time it takes the plate to reach 20°C. b. Express f(t) in terms of Heaviside unit step function. The function f(t) is defined as (t2 +3, S(1) = {"3, 0 2 Once you upload files from your second device, click on CSymc to check your submission OCamera This is th Finish Clear Response

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

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A: I = ∫4x e−3x dx

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A: 514+16=15+742

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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

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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

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Q: 0 1 2 4 0 2 4 0 0 3 9 12

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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 )

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

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A: We have find givan normal distribution...

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A: Evaluate -3d6w33=?

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A: Given:The indefinite integral given is

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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.

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

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A: The given differential equation is: y''-5y=0

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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…

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Q: Find the area of the shaded region.

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