H.W 2: Use Cayley-Hamilton to find 4 B'and B -1 * . Where B = [12 – 101 – 13 – 1 1]

Q: The product of2r - 3 and x +4 can be expressed as A) 2r2 +x - 12 C). 2r2- 12. D 2r2 + 5x - 12 B)…

A:

Q: Let A 1 value of k. [23] A and B = 1 -7 217 k If AB = BA, find the

A:

Q: O Find reve y (z 3hax

A: To determine: (1)    ∂2y∂x∂z ,  for   y = z14-3 ln ax2-2 ,  a is a constant. (2)  ∫01∫01∫01z3y3x2 dx…

Q: (5) 7(3k – 1)² +26(3k – 1)–8

A: On simplifying the above expression,we get

Q: Ty int Let z = Then. 5z2-5y2 az

A: topic-  implicit differentiation

Q: Find for 07/8 dr de dr de || 7/8 = 3.

A:

Q: z2 – 1.5z + 4.5 z(z – 3)

A:

Q: 9. Let u = : (4, -1), v = (0, 5), and w = (-3, -3). Find the com- ponents of a. u + w c. 2(u - 5w)…

A: We have u=(4,-1)v=(0,5)w=(-3,-3)

Q: Which of the following appears as the first row of OA. [-3 2 1] OB. [1 2 1] OC [111] OD. [203] OE.…

A:

Q: (x²+1) 1/3 OD. D. (x+,x) oc. O C.1/3,3 OB. (x+x) OA. O A. 1/3, 10 x: X 0/3 1/3 Factor the given…

A:

Q: find x, y € Z such that 2261x + 1275y = gcd(2261,1275).

A: we want to find the greatest common factor  we will use Euclid's algorithm 2261=1275×1+986 -----1)…

Q: Divide. 5y6 – 10y* – 15y³ – 20 5y2 5a – a? – 12 – (–4a³) a?

A: We have to divide 5y6-10y4-15y3-205y2 5a3-a2-12--4a3a2

Q: x 4 dæ 4x

A: To evaluate the integral:∫x13-x144x12dx

Q: 1. 1 7(x+-) 2 2 (x+1)B(x+x) 4x+1 Q.7 Show that : B(x+ 3. 3. x+

A: There is a correction in the right side of the question.So i have improved the question and solve…

Q: Evaluate [R(5xy + z²)dV, where B = [-10, 10] × [0, 1] × [0, 10]

A:

Q: When x³ + x² - kx - 5 is divided by x - 2 the remainder is 1. Find the value of k.

A: Remainder Theorem:If a polynomial p(x) is divided by x-a then the remainder is p(a)

Q: dy Find for ax xtR ב3 ay

A:

Q: Determine the simplified form of (4 – 37) (–9 + j) – (8 – j5).

A:

Q: Find the real numbers x and y if (x – iy) (3 + 5i) is the conjugate of –6 – 24i.

A:

Q: Evaluate V(2a +3) – 3 lim 4x – 12 1 12 1 3 None 3/4

A:

Q: Suppose that x, y and z are three positive numbers whose sum is 100 If P denotes the product of the…

A: Given,           Suppose that x,y and z are three positive numbers whose sum is 100.           Also,…

Q: (1+a-c), (c) ₂F, (_n,‚a+n;c;1)=(-1)" !

A:

Q: (2+2x) e4+2² dæ her tonic

A:

Q: Q1: Determine if a +b+c+d=10 where a, b, c, d ER are such that: 6x³+3x²-5 -1 2a x-l + 3b x+1 + cz…

A:

Q: (z-1)²sin (dz (2-1) C:\z + 11 = 1

A:

Q: The rank of the archives has been using the method of operations of the first 2. 2 2 3. -4 3. 1.

A:

Q: Find I(3/2), I(-1/2), and I(-3/2) in terms of n

A: Γ 32=∫0∞t32-1e-tdt=∫0∞t12e-t=0.282π

Q: Q3- If A = 4i + 2j – 3k , B = 5i + 2j – k Find |A X B|

A:

Q: Write an equation for the function graphed below 15+ 14+ 13+ 12+ + + + -7 -6 -5 -4 -3 -2 -1 -1 -2 -3…

A: A following graph:To Find:Equation of the above graph.

Q: Let B = -3 {CHEMED} 0 Find [x]s 3 3 and x = -8 23

A:

Q: 15. For Sg, find (12)(245)?

A: Topic!  Permutations of Group.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.