1 Let ƒ(x)=x²e³² the value of — lim[ƒ(x)]¹* is: 1 a) b) c) 0 d) 1 e 1 -19 4e

Q: y" - y' - 6y=t²e³t — 4t², y(0) = 0, y' (0) = -1

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Q: A particle is moving along the path given by R(t) = (sin(In t), cos (Int), √3 lnt). (a)…

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A: Introduction: Ring theory is the study of rings in algebra, which are algebraic structures in which…

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A: 5 Given that angle θ=128t−12t2 and t=4 sec. We have to find the angular acceleration in radian per…

Q: 2. y'" - 4y" + 5y' – 2y = 7t — 5, y(0) = 0, y'(0) = 0, y'(0) = −2

A: 2

Q: Let X be a set. Let P be a set of subsets of X such that: • if A and B are distinct elements of P,…

A: This is a problem of set and Relation.

Q: 4. Find the inverse z-transform of X(Z) = (22-4) (2+3) Xx and also find o, 1,

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Q: 5. Evaluate the following integrals: (a) 6³5 S cos(x) dx dy 4y (b) √ √²-²-²) dy dx (Hint: Use polar…

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

Q: - with x = 3s³t*√/u, y = 3³² csc(ut²), and Let w = 1 3 3 x³+y³+z³ z = ln(s√u + 2¹). Find w du *

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Q: -1²- 5. Evaluate the integral e dV, where E is the region between two cylinders z²+z² = 4 E and 2²…

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A: We have to (a) Find the coordinates​ (x,y) of​ Kelsey's horse when the ride stopped. (b) How far…

Q: t, g(t)= (t-4)², (9t-e20-4t, t<3 3<t<5 t≥ 5

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Q: 4. Which of the following vertices are adjacent to vertex B? B E F OA) AEDC OB) AEFC OC) AEDFC OD)…

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Q: Evaluate the following integrals: 1³ L (a) S cos(x) dx dy 4y (b) p== e-²-y² dy dx (Hint: Use polar…

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Q: If M is a closed linear subs r space X, and x, be a vect the distance from x, to M, ional f, in X'…

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Q: Determine all the relative minimum and maximum values, and saddle points of the function h defined…

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Q: 12. The position of a particle moving along a straight line is given by the function S(t) = 2sint +…

A: s(t) = 2sint + 5cos2t

Q: Using Newton 2nd Order Method, what is the root? Use error = 1 x 10^-6. Start at x1 = 0.5000.

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Q: 5. Suppose f(n) = xn is a function defined for all integers greater than 1 such that: X log2 In…

A: Since you have asked multiple question, we will solve the second question for you. If you want any…

Q: Q))Solve the Recurrence relation Xk+2 +Xk+1 − 6xk = 2k-1 where xo = 0 and - x₁ = 0 x₁

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Q: @ Fs [ f ² (x)} = √√ = Pf (o) - P² Fs {f(x)} proof: How.

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Q: The resistance R of a copper wire at temperature T = 22 °C is R = 152. Estimate the resistance at T…

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Q: Show that the function g defined by yVF g(x, y) = y² + y² + √√x²¹ 2. is not continuous at (0, 0).…

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Q: y"" - 4y" + 5y' - 2y = 7t-5, y(0) = 0, y'(0) = 0, y'(0) = -2

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Q: Use the matrix 1 0 11 E -1 1 0 0 1 2 to obtain the Hill cipher for the plaintext message "HELP ME".

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Q: The value of x for which the series - n³(x-3)" diverges will be given by

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Q: Determine the number of real imaginary and Solutions for the 3 2 f(x) = 2x² + 4x² +9x²³…

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Q: - The differential equation 1 d x² dr d (2²²) + v +y=0 has the solution y sin (a) Write down the…

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Q: 8. Which one of the following statements is NOT true about this graph? B E F Figure 1 OA) There is a…

A: Definition: This is a circuit because a path which ends at the vertex it begins. Given graph is…

Q: f(x) = 3.x-3 et. 1. Using the laws of Calculus, provide the expression for f'(x)- which will be our…

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Q: 1. f(t) = 5t²u, (t) + 3(t-4)³ un(t)-9 sin()us(t)

A: This is a problem of Laplace Transformation.

Q: Let f(x) be an irreducible ow that all roots of f(x) =

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Q: 1 u=-----(1, 1, 1, 0), V 3 1 -- (-1,-1, 2, 0) W = V6 1 =(1,-1, 0, 0) V 2

A: Here we have to determine whether or not the following set of vectors { u, v, w } are both…

Q: 2. Gauss-Seidel's Method. Stop at 4th iteration. (correct to 3 decimal places) 15x + 3y - 2z = 85…

A: Use the procedure of Gauss Seidal method with initial guess (0,0,0) to proceed further as in next…

Q: 4,7. Dra 2a + brz lg 2,3.D X7 - lg ZA Z₂² 2.3.0,068 16.0,07.0,7653² Aew2= dew2= 4,7.0,068…

A: A calculator can be used to evaluate complex mathematical expression.

Q: 2s² + 10s 4. Find £¹2-2s +5 (s+1)]

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Q: Nina would like to buy burger. She went to the restaurant and has been offered to buy a meal-deal.…

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Q: create 2 sample word problems of integration of trigonometric functions with solutions

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Q: Find the value of a. 3t 4 (0/2) = a√773 0 s+3

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Q: 3. Solve the difference equation by using Z-transform Yk+22Yk+1+Yk = Uk, (k > 0) with yo = y₁ = 0,…

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Q: Consider the function f defined by f(x, y) = sin (nxy) + ln(x + y). Do as indicated. (a) In what…

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: Let f= (1 2) (364) and g = (1 4) (2 5 3) be permutations in S6, written in cycle notation. What is…

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Q: 19-f(t)=t-sin 2t; 20-f(t)=e" cos 2t.

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Q: Consider the solid formed by the boundaries outside the elliptic paraboloid x² + y² = z and inside…

A: (a) Volume of a solid in cartesian coordinate is given by V=∫∫A z2-z1 dy dxwhere A is projection of…

Q: y" - y² - 6y = t²e³t — 4t², y(0) = 0, y'(0) = −1

A: Given the differential equation y''-y'-6y=t2e3t-4t2 with the initial conditions y(0) = 0, y'(0) = -1…

Q: 1) Find the Laplace transform of the following function: f(t) = e-12t (3 cosh (3t) — 3 sin(12t)) —…

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Q: The face of a vertical dam has the shape of an isosceles triangle of altitude 4 m with an upper base…

A: Given a dam with face shape of isosceles triangle(OD=4m) and upper base(BC) of 6m. AD=3m Let us…

Q: I. The lines 2x + 3y = 5 and y 3 II. The lines 2x + 3y = 1 and y = X 3 III. The lines 2x + 3y = 5…

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