Q1) Use the appropriate Lagrange interpolating polynomial of degree two P2(x) to approximate f (0.22) if f(0.1)=0.665;f(0.2)=0.8;f(0.3)=1.8; and f(0.4)=0.25: Select the correct values for each point. 0.96 0.12 0.9308 -0.08 0.01 0.256 -0.8 P2 (0.22) L2 (0.22) LO (0.22) L1 (0.22)

Q: Determine yu – 4uzy + a?uzz + 3u = 0 %3D the type of the PDE

A: We will check whether given PDE is hyperbolic, elliptic or parabolic.

Q: fton of a 2 5 10 12 73 21 19 45 AWhen a is -3, is b or egreater? a What is the vailue of b that g

A: We have given  b= 4a-5  We have given that value of c =-20 at a=-3  We have to check at a=-3 , is b…

Q: 12 K M 16 J

A:

Q: Is g = {(x, y) ∈ [−5, 5] × R : x^2 + y^2 = 25} a function from [−5, 5] to R.

A:

Q: Hand written plz 2. Standardize the following LP model. - max z = −3x₁ + 8x₂ − x3 + 12x, - 3x₁ +8x₂…

A:

Q: Evaluate J S S dydx. r4x Jx2

A: To solve this question first integrating with respect to y and plug in the limit then integrate with…

Q: 4 |(3t2 – 2t + 5) d

A:

Q: Evaluate : dx O X+4

A:

Q: Evaluate SA=_dx where A = x ² + 8x-3 and B=x²+3x²

A: To evaluate the following integral.

Q: 1 3x³ + 2x² + 3x +3 Г x2 + 1 0 A В СО с D 7 2 + In 2 7+1 2 4 71 16 71п 48 dx -

A: To solve this kind of integral we need to find terms in the numerator that are common to the…

Q: 1 0 -11 1 2 1 Let A = Determine the QR-factorization of A. 1 1-3 1 1

A:

Q: Evaluate for: x = -2, y = 4, and z = 16 * J16 - (y +x)? |-2| 6. -14 O 2 18

A: To solve the given expression with  x =- 2, y = 4 And z = 16

Q: [AB, C] = A[B, C] + [A, C|B (Proof that)

A: simply & expand each one we get. [AB, C] = ABC - CABA[B,C] = A(BC - CB) = ABC - ACB[A,C]B = (AC…

Q: If P(A) =0.55 and P(A and B) =0.22. A and B are independent, find P(B)=?

A: It is given that  P(A) =0.55  P(A and B) =0.22 Given, Event A and B are independent then, P(A and B)…

Q: In the rectangular prism shown below, which ines are Intersecting?

A: We can find the intersecting lines as below.

Q: K dt ²-10t + 29

A:

Q: Q2|l Find the power sevies for the following 3 FCx) = (1+X > 2.

A: Given

Q: Use the accompanying figure to write each vector listed as a linear combination of u and v. Vectors…

A:

Q: Find m2T (2x) R S T -

A: Solve for the Angle T

Q: then A(-2u - 20) = -2 ---B 5 and Au 3 Au = 2 4

A:

Q: Bivar methods are applied to 3 variables f t

A: Followings are the Explanation of the question Bivar Method :- 1) It is used to compute bivariate…

Q: dv S (v2+v)(v-1)²

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 2 1 dw włVw² + 3 -1

A: Given integral, ∫-121w4w2+3dw Find the value of this integral.

Q: ++ Q Find Lt

A:

Q: 3 If A = 1] show that A² - 5A + 7I = 0. %3D %3D -1 2

A:

Q: Q2(a). Evaluate 1 t4+9 dt 0 t4+9t2

A: solution is given below

Q: Determine the dimensionalitics of all the irreps of D4 and D6 where De D3 x C2

A: We will use the basic knowledge of irreducible representations of finite groups to answer this…