Q: Use Lagrange's Formula to Prove that : 1) Y = Y3 – 0.3 * [ Y5 – Y_3] + 0.2 * [Y_3 – Y_5] . -

Q: The linearization at a=0 to √2+5x is A+Bx. Compute A and B

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Q: Evaluate (423 + 3y? + 2z)dV B = {(x, y, z) | 0 < æ < 3,0 < y < 2,0 < z< 2} .

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Q: The domain of the function f defined by e5x+3y+9xy5 f(x, y)= √130-5x²-5y² is equal to: In D = {(x,…

A: We are given the function all for two variable for which we need to verify if the given set is…

Q: 3x +2 J. - dx. (x² +9)(x– 4)x 10. Find the principal value of

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Q: Exercises: Differentiate the followings 1. y = (2x2 – 4x + 1)60 %3D

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: (2.x – 7) In(x + 2) > 0 -

A: We have to find the value of x for this inequality.

Q: (c) Write (V3+ i)" in the form of x+ iy.

A: Here I have applied De Moivre's Theorem. See the solution.

Q: (c) Check whether or not: Q (2¹/³) = Q(4¹/3) Also obtain (Q (2¹/³): Q].

A: We first find [Q(2^(1/3)):Q]  Then using this prove that Q(2^(1/3))=Q(4^(1/3))

Q: Determine the value and location of any inflection point of h. Enter the solution in (x, h(x=…

A: Given function is Now differentiating it twice we get  Noted that there is no x for which  , In…

Q: Q₂i- If show that utt ч (хо) ut (x,0) - a 9/x). Z 3 u (X, Z) 2 Ux(xt) = a as 1x1_-2 ux 9. 2 u XX…

A: Using D'Alembert solution for one dimensional wave equation.

Q: A = {x € Rx ≥ 5 and x 8 and r < 12}

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Q: 1. Let x=(x) = (². Find xif 8. Exercise (2) ܘܚܢܟ b. x n

A: Given Data: Let us consider the given data, x=xn ∈l2. To Find: a. xn=212n b. xn=1n

Q: a) If y = 3x – 2, x = 3t + 2, and t = 3k – 2, find b) Express y as a function of k ify = 2x + 5, x…

A: Introduction: A function is an expression, rule, or law in mathematics that defines a relationship…

Q: Suppose that f′​(x)=2x for all x.   ​a) Find ​f(−4​) if ​f(0)=0. ​b) Find ​f(−4​) if f(2​)=1. ​c)…

A: Suppose that f'x=2x for all x. a To find f-4 if f0=0.b To find f-4 if f2=1.c To find f-4 if f-3=10.

Q: Find nd |(+ (x + 5)(x – 7)dr

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Q: The formula for the quadratic function y = f(x) such that: f(0) = -35, f(-1) = -36 and f(1) = -32 is

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Q: Evaluate xy ds, where C is describe by æ = 4t, y= 3t, 0 <t<1. Enter your answer as a number in…

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Q: e equation of

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Q: The domain of y = v2 – x is A. (-0,2] B. (-0,00) C. (-∞,2) D. [2,0) E. 0

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Q: Given that =, = [3,0.7]. -2 = [2. 1.2] and =; = [4,-0.5]. (a) find xz, and z, x z3 (b) show that [1,…

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Q: Evaluate: ₁²-du So -3 (x² y²)²7 x+y du dt

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Q: TEST FOR HOMOGENEITY: 4. e √x x-2xy x - y

A: A function f(x, y) is said to be homogeneous if f(Kx, Ky) = Knf(x, y)  where n is any real number…

Q: b. y = 3x2 - 18x + 24 Fa

A: We have given equation  (a) y=x2+2x-15 y=x2+5x-3x-15 y=xx+5-3x+5 y=x-3x+5 To get x-intercepts , put…

Q: e2" – e5r dr dx b)] Jx (1 + x) + e3r

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Q: Answer for b

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Q: What is the value of x in (2x - 1) + j(x + y) = (y - 6) + j(2y - 4)?   Answer in rectungalur form

A: We have: 2x-1+jx+y=y-6+j2y-4 Comparing both sides: 2x-1=y-6                  ....(1)x+y=2y-4…

Q: Vx + 4 = x - 2

A: Given equation: x+4=x-2

Q: Q3) prove that: fa+¹h f(x).dx h 2h 4h - = 3 [ƒ (a) + f(a + 4h)] + f(a+2h) + [f(a+h) + f(a + 3h)] 3 3

A: Introduction: Numerical integration is a word utilized in evaluation to explain a set of strategies…

Q: 2 =[41] −1 4 If A = find (AT)-¹.

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Q: 2. In each case, write the function f(z) in the form f(z) = u(x, y) + iv(x, y): z² (a) f(z)=z³+z+1;…

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Q: 2x + 1 , x < 3 i ci x 2 3 If the function g(x) = %3D x - 1 a) - 6 b) 6 c) 4

A: The first question has incomplete data. So, answering the second only.

Q: 3/(a) Let X × b(n, –) and E(x)= E(16–7x) find n.

A: Solution : Given : X ~ b( n, 14 )             E(x) = E( 16-7x ) To find n : It is known that for…

Q: 1. Let f(x) = 3x2 and g(x) = x - 2. a) Find (f o g)(x). %3D %3D

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