X 1 4 7 9 11 f(x) 12 -23 -15 33 -13

Q: If A = 3xyz²i + 2xy³j-x²yzk and p = 3x² - yz, find (a) V-A, (b) A-Vq, (c) V.(Vo) at point (1,-1, 1).

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: We will sketch the region and also find boundary curve .Then convert every equation into polar curve…

Q: Find the absolute maximum and minimum values of the function, subject to the given constraints. 2 2…

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Q: r5 √2 (2x² – 3x)dx

A: ∫25(2x^2-3x)dx  ∫252 x2dx -∫253xdx=2∫25x2dx-3∫25xdx =by formula∫xndx= xn+1/n+1

Q: The general solution of y" + y = sec³ x

A: First we will find the complementary solution for which we will find the roots of it's auxiliary…

Q: Using any of the methods discussed for both numerical differentiation and numerical integration…

A: Solution : Solution of an Equation sin(x)-x3+1=0x1=2 and x2=4x=3.1Step value h = 0.5 using Newton's…

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: We will convert every equation into polar form and then find in equation defining bounded region…

Q: 6. Find the Laplace transform of f(t) = t²e²t

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Q: B/Find the oblique asymptote of the function f(x) = -3x²+2 x-1

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Q: (a) Use the method of Lagrange multipliers to determine the minimum and maxi values of f(x, y) = x²…

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Q: The graph of 3[H(t2) - H(t - 3)] is given by:

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Q: Q.6. (a) If {e} is an orthone bert space H and if x is any vect 0030 each j, pouzitrons ed Ye

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Q: Consider the following optimisation problem min f(x, y) = x + y − x2 subject to x + y ≤ 1 x ≥ 0, y ≥…

A: As per the question we are given a optimization problem as : min(x,y) x+y-x2 s.t. x+y≤1 ; x≥0 ; y≥0…

Q: 1. Newton's Law of Cooling: At 9:00PM., a thermometer reading 70°F is taken outdoors where the…

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Q: Using any of the methods discussed for both numerical differentiation and numerical integration…

A: f( x) = sinx - x3 + 1 By Midpoint method f'(a) = (f(a+h) - f(a-h)) /2h

Q: [4 3. Let A = A = [6₂2²2-¹1] ¹₁, find AAT Lo 31 4. Let B = = [₁₁2] c= [₁] and C and c= -2, find cB…

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Q: 2un + 1 NI n

A: Solution : Ƶ(2u(n)+0.5n)=? Ƶ(u(n))=zz-1     ROC=z>1   Ƶ(n)=∑n=0nz-n=zz-12     ROC=z>1…

Q: 7. Solve the linear equation systems below using matrix inverse method. [Hint: x = A¯¹B]. x + y = 6…

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Q: Given a differential equation as d²y x2 dx² +4y=0. dx By using substitution of x = e' and t = ln…

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Q: 1. Can we use cofactor expansion in any n x n matrix? Why? How? 2. Does a 1x 1 matrix has…

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Q: Q1/A/ Solve the following. Choose live only. In(x+2) dx 1. S 2x+4 2. fx² ex dx 3. Stan³x dx 12 4. S…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: 18. The graph of 3[H(t - 2)

A: Given: Function 3Ht-2-Ht-3 We need to draw the graph of given function.

Q: Solve the following IVP y" - 10y' +9y = 5t, y (0) = -1 y' (0) = 2

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Q: Find the 103rd derivative of cos(2x).   Hint: find the first few derivatives and observe a…

A: First find nth derivative then put n=103 to find the 103rd derivative as in next step.

Q: (x+2) 2x+4 ex dx in³ x dx 3 12 dx +9x² x-2 dx dr

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Q: Given: region R below bounded by the graphs of y = √x-3, y=9-x, and y = 0. (7,2) (3,0) (9,0) (a)…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Summarize what happens in their relationship. (Hint: Think about the eigenvectors. Be sure to…

A: As per the question we have to explain what happens in the relationship (dynamic system) as time…

Q: 2yy"=1+y'².

A: We have given differential equation ,  2yy'' = 1 + y'2 Here , substitute y' = u ⇒ y'' = u u'  Thus…

Q: 26. Which of the following ordered pair is a solution to the given inequality? Sy A. (0,0)

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Q: Q.10. Let [a, b] be an interval of R. Let f:[a,b]→R be a function such that f is M-times…

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Q: b) Find the Fourier sine transform of f(x) = 12π, 0 < x < 6π

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Q: = r² at r = 1,0 = 4. Write the linear approximation of the paraboloid z=

A: The given paraboloid is z=r2. To find: linear approximation of the given paraboloid.

Q: Numerical Integration: r2 S 1 √x 1. dx

A: We have to evaluate the finite integral. ∫021xdx   Integration formula,  ∫xndx = xn+1n+1+c

Q: An observer on the ground is 12m away from the foot of the tower 40 m high. A stone is dropped from…

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Q: II. Solve the following problems. Enclose final answer. 5. Given z arctan = (-), 5 Find az/ay

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Q: Q1/A/ Solve the following. Choose five only In(x+2) 1. f dx 2x+4 2. f x² ex dx 3. f tan³x dx 12 4. S…

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Q: Estimate the integral 6.8 [..* ƒ(x) dx using the best combination of the trapezoidal rules, Simpson…

A: For x=0 to x=0.9 we apply Simpson 3/8 rule For x=1.7 to x=3.1 we apply trapezoidal rule For x=3.8 to…

Q: Compute the Fourier series for the given function f on the specified interval. a) f(x) = x, - π < x…

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Q: Radium decomposed at a rate proportional to the quality of radium present. Suppose that it is found…

A: Solution : Let A be quantity of radium present at time t. Decomposition equation, dAdt∝A dAdt=-kA…

Q: 1. Given the set A = {1,2,3,4,5,6}. Given S6 = {f: A→ Alf bijective mapping} is a group with respect…

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Q: Using Rodrigues' formula for Pn(x), (T) (i) Pn(-x) = (-1)" P₂(x) cl

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Q: Let A={mez: m = 2a for some aeZ}, B= {mez: m = 2a for some aeZ}. Show that A=B. (need to show A≤B…

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Q: "₁ If (1,2),B=(-2,3), sowe (b) (2) (1) (2) (一宮)(B)

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Q: X L479 1 4 11 f(x) 12 -23 -15 33 -13

A: Lagrange's interpolation polynomial for n points can be defined as:…

Q: II. Solve the following problems. Enclose final answer. 4 4. Given z = Find az/ax x+y "

A: Solution:-

Q: Problem 3 Determine inverse z-transform of the following equations: Z z² a. b. (z-2)² (z-1)(z-0.5)

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Q: (b) Pak Majid sells three grades of eggs A, B and C. The total price of a grade A egg and a grade B…

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Q: Let f(x + y) = f(x) f(y) for all x and y. Suppose that f(3) = 3 and f'(0) = 11, then f'(3) is given…

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Q: SHOW COMPLETE SOLUTION (NO SHORTCUTS PLEASE) (Differential Equations) dy General solution of =…

A: Solution

Q: a. Find the Fourier transform of the given function. 2A f(t) == t + A, 75150 2A f(t) = osts/ f(t) =…

A: This is a problem of Fourier expansion.