. Let A = 1 03 2 3 4 1 02 Find A-¹ if possible. If A−¹ does not exist, explain why.

Q: Solve for x.  Solve for y.

A: Given:

Q: Evaluate. Assume u > 0 when In u appears. fx²¹x¹² dx. ote √x¹¹ ex¹² dx = 0 (Type an exact answer.)

A:

Q: 1 2 If R = 3 1 that R² = 2R + cS. and S= 1 1 0 0 1 find a number c such

A: Solving matrices question by finding square of R matrix

Q: Ive for æ if In(x? – 1) = 0.

A:

Q: Simplify the expression.. 6,44 xᵒy (*°4) Z

A:

Q: II. Solve each of the given LDE of order n. 2. y/®) –4y5) +3y/) =-27

A:

Q: 100 7. If = a + bi, compute for a and b.

A: We need to find the value of a and b, if 1-i1+i100=a+bi Now, evaluating the power of 100 is…

Q: J0 ex' Evaluate 1 3* Sdx. 0 ex O 3.16 O 2.74 O 2.54 O 1.05

A: We need to find value of ∫013xexdx

Q: Show that S1 = S2 if and only if Si U S2 = S1 N S2.

A:

Q: If AJKL ~ ANML, find JL. K 4х - 12 M 24 L. N 21 2x + 9 -

A: Both the triangle is similar. So, the ratios of sides are same. That is: KLJL=MLNL⇒4x-122x+9=2421

Q: We know that (+)' = Find A A = x (Ax+B) (x+1)²

A:

Q: Q1 If A 010 1 Par API AYA² KA ナ show That:

A: If , show that .

Q: II. Evaluate the following. 1. z = ji

A: Given: z=jj

Q: Which of the following is a solution to y" – 6x = 2? a. y = x3 b. y = x c. y = x3 + x? с. d. All of…

A:

Q: 1. Solve In (x + 2) = 3. O A. -0.9014 O B. 18.0855 C. 22.0855 D. 20.0855

A:

Q: x2 – 5x = 24 x²5x24 = 0 a = 1 b = -5 -5 ± √(-5)² - 4(1)(-24) 2(1) C = -24 -5+ √25 +96 2 -5+√121 2 HN…

A:

Q: S. If PH is 3 and AP is 2x +4 what is x? B oint 丰

A: Centroid of triangle divide each of median in ratio of 2;and 1

Q: 12. If IN = 2x + 10 and AT = 26, find x. %3D %3D В 丰 N A O 6 O 12 О 10 8. -

A:

Q: If then - A-¹ = 000 A = TO 01 1 1 2 -2

A:

Q: 30.t2y″ + 3ty′ − 3y = 0

A:

Q: 2. If x =-1 and z = 2y = -3x, find the value of 3xy-z 1+3x²z

A:

Q: - - Let ã = 9i – 4j – 2k and b = −6i – 1j + 3k. Find a b • -

A:

Q: Find the g.c.d. in Z [i] of 2 and 3+5i.

A:

Q: 1 2 3 1 that R2 = 2R+cS. b. If R = and S= 1 0 01 find a number c such

A:

Q: Let a = i +43 + 2k. Find ||a||. −

A: Given, a→=-i→+4j→+2k→

Q: [1 2 1 25 1 3 7 2 L4 9 3-1 1 Given A = - Find the rank. a. 1 с. 3 b. 2 d. 4

A: