(a) (-1 2 [s(s4 — 1)]

Q: |(6t2 – 4t + 3) dt

A:

Q: (c) Show that (AB)² + (A x B)² = (AB)².

A: Given ( A.B )2 + ( A×B )2 = ( AB )2

Q: 2dx J = (3(ln x)² + 12 In x – 15)i -

A:

Q: (b): Evaluate: (8t³ – 9t² + 10)dt

A:

Q: (s-4) L-lis2-85-9). Find L-1

A:

Q: (d) Develop an estimated regression equation for the data of the form ý = b, + b,x + b,x. (Round b,…

A: e) Consider the following table for necessary calculations. y x x2 12 22 484 22…

Q: compute (2A)T − (3B)T

A:

Q: Example 4: Sohue: (2+j3)2²+ 4z +4-j6=0

A:

Q: 6x 3x 5y 2. 5y 6x-4 3. + 3r+8 1ly 11y

A: Given that: 6x5y-3x5y To solve, Apply  rule:  ac±bc=a±bc6x5y-3x5y=6x-3x5y=3x5y

Q: 3 | (16t3 – 12t? + 6)dt

A:

Q: In(x) dr. x² + 9'

A: Sol

Q: L4 for x2+1 고 on [-2,2]

A:

Q: If C(s)=16-2s2 then find a) C(3) b)C(-2) c)C(-1)

A:

Q: Let A=(¹). 3¹). Find 3A³2A² + 5A - 12.

A: Given: A=1-123 We are required to find: 3A3-2A2+5A-I2

Q: P(A)=0.6, P(B)=0.3, and P(A or B)=0.7 are A + B mutually exclusive?

A: Mutually exclusive events:Two events are said to be mutually exclusive events, when both cannot…

Q: The domain of x2 - 3x -10) is:

A:

Q: -31 If A = [²2² =2²] B = [²34 21 6 -2. Find 2A - (B + A)

A: given

Q: 3 Evaluate: (12t3 – 12t2 + 6)dt

A:

Q: 15. 423-922 + 72 +3)e- dz

A:

Q: (x²9) Lim X→3 (X+3)

A: To calculate

Q: S3 ¹(s²-2s+2)(s²+2s+2)· e. L-11 7

A: In this question, we need to find the inverse Laplace of the given function.

Q: 45 73 73 17 13 43 )0 (B) 2 (C) 7. (D) 8 (E) 9

A: We can observe that in left box there is 5 which is 4+1 of the right box. Hence similarly, X should…

Q: S+1 b. L-1 [+] s3-1

A: Given that L-1s+1s3-1 The formula used are follows L-11s-a=eat The objective is to find Laplace…

Q: 5 - y || 3.

A: Given: x3-5-y3 Formula Used: ab-cb=a-cb

Q: 2. Find (w + 1)(w-w+1).

A:

Q: (3 + 5y +7{ ) 2+y? 200 + y02 exists if lim r)(0.0)

A: This is a problem of multi variable calculus.

Q: Find L - (8+3)3] 7 12 O 9t%e-3t O 6te3t O 6t?e-3t O 6t2

A: Use property of inverse laplace transform

Q: (b) 6 + 7 + 8 + 9 + ... + k

A: (b) Given that 6+7+8+9+...+k The objective is to find the sum. The formula for sum of numbers are,…

Q: How do we know that -1 and -2 will be in the field?

A: Given F is field, So,  0, 1∈F ( since a field F must contain zero element and unity ) A field is…

Q: X- (X)NI X 13g Tol tuods JadW (q )

A: Topic:- derivatives

Q: x² + 6x – 1

A: We have to express  x2+6x-1 in the form (x-m)2+n.

Q: Evaluate L{- (s2+ 64) (s – 6) |

A:

Q: (-4)* 5k +1 k=1

A: We have to find if the series convergent or divergent.

Q: r(z) = 31* +41² + 71 + 4,

A: Express mathematically the definition of derivative. f'(x)=Lth→0f(x+h)-f(x)h Let the given…