Find the Laplace transform of 1._ f(t) = [1 − U₂π(t)](2 sin t — sin 2t)

Q: Q5: A- Find the mass of the region cut from the sphere++d by the cone z= density &?? +y² if the

A: Mass is given by M=∬∫V δ dv

Q: Find the optimal solution of the following (T.P) by using Least-Cost method. 6 40 50 70 90 90 100…

A: Given,   W1 W2 W3 W4 W5 supply F1 (4) (1) (2) (6) (9) 100 F2 (6) (4) (3) (5) (7) 120 F3 (5)…

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Q: Prove that given any constants a > 1 and b > 0, nº € o(a"). This shows that any exponential function…

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Q: Stickers. To celebrate the first day of spring, Lin is putting stickers on some of the 100 lockers…

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Q: The knapsack problem (KP) can be solved with dynamic programming (DP) in O(nS), where n is the…

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Q: (a) fo dx 4 2 √3x-x²

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Q: Problem 9. Consider a triangle and its inscribed circle. Join each vertex with the point of tangency…

A: Given: AB=c, AC=b,BC=a

Q: →Step 1 Given- 5 9 -3 4 1 -1 -7 -7 4 -3 65 -21x1 X2 X3 X4 ช 2 -7 2 3 | -107 9 -2

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Q: Use Laplace transform to solve the partial differential equation: d'y dy +xt where y(x,0) = 0,…

A: Solution

Q: Consider functions f: {1, 2, 3, 4, 5, 6, 7} → {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. a. How many of…

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Q: In Exercises 9 to 12, determine whether the two graphs are equivalent. 11. D A B C B A D E F с F E

A: The given problem is related with graph theory. Given two graphs. We have to determine whether the…

Q: 5. Let f(x) = x³ + 6x² - 15x - 10. a) Find the intervals of increase/decrease of the function. b)…

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Q: .8 Testing lightbulbs The stock of a warehouse consists of boxes of high, medium and low quality…

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Q: 7. Evaluate the integral x4 6x5 1 dx

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Q: 17 The Joint pro. density functione 19 of two discrete discrete variable X and Y is given by P(X,Y)=…

A: Marginal probability of X and Y is given by PX=x=∑ yPx,yPY=y=∑ xPx,y

Q: ABC is a triangle having the angle C a right angle. Equilateral triangles ADB, AEC are described…

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Q: 20) If y = a e/, then radius of curvature p = a sec² 0 cosec 0, if (a) 0 = tan-12 (b) 0 = tan ay -1…

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Q: Iff(x, y) = log (x² + y²), then f +f, is equal to yy 1 (a) x² + y² 2 (b) 0 2 1² - x² (c) (d) (x² +…

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Q: Consider the vector field Ĥ(x, y, z) = (y², x, z²). Let S3 be the portion of the paraboloid 2 = x² +…

A: Please comment if you need any clarification. if you find my answer useful please put thumbs up.…

Q: Hi the equation for the cone is z^2= x^2 + y^2, and not z=x^2 + y^2, could you please do this…

A: Here we will use Cylindrical co ordinate system  x= r cosθ , y = r sinθ , z=zx2+y2=r cosθ2 + r…

Q: Let V, W be two matrices of the same order. If all entries of V are nonzero, then we say that X is…

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Q: Q3: Find f(t) (Inverse Laplace Transform )of the following functions nn 1. F(s) = 2.F(s) = s+1 s4+5²…

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Q: How many 8-bit strings of weight 5 start with 101 or end with 10 or both?

A: If the 8-bits strings has a weight of 5 , then From the 8 places to have digits , there are 5 places…

Q: the total amount of time Ahmad

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Q: 6. Let f(n)= o(n)/n. (a) Show that if p is prime, then f(p) = f(p). (b) Find all n such that f(n) =…

A: Introduction: Euler's Totient function is a mathematical multiplicative function that counts the…

Q: Economics Consider the following in normal form: B S B 4,2 0,0 S 0,0 2,4 a. Is there a Nash…

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Q: Evaluate the following sums: (a) S₁ = Co+C₂+₁+.... 1 3 5 (b) S₂ = ₁ + ₁ + Cs +... C₂ 4 2 6

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Q: 2. Find the first five nonzero terms of the power series solution of the initial value problem: y +…

A: Given initial value problem is ,                            y''+4xy'-4y =0    ,    x0=2…

Q: If A = 3ai +4j-k and B=4i+j-3k, find the value of a if A normal to B.

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Q: Evaldate the sum. 21 S21 = Σ (2k + 4) k=1 S21 = (Simplify your answer.)

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Q: Jse separation of variables method to solve the partial differential equation: du ²u ди du(x,0) +u…

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Q: Homework: a. Use the Gauss-Seidel method to obtain the solution of the system until the percent…

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Q: For the Dakota problem: a. Solve Dakota's LP and run a sensitivity analysis. b. If 18 finishing…

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Q: Using a binomial approach, find the sum S given by n+1 S="C₁ + "+¹C₁ + "+2² C₂+...+ "*C,

A: Here we can use the following formula to find the sum nCr+nCr+1=n+1Cr+1and nC0=1

Q: Problem 14 problem: Using the Laplace transform, solve the following initial value y" + 4y + 3y = e,…

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Q: Find the total area of the region satisfying the E

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Q: Q2: (A) State only: Krull-Zorn theorem, Lagrange theorem. (B) Prove that: 1. Every Boolean ring is…

A: We can solve this using given information

Q: z+y <=0. (a) Using - definition, show that lim (a)+(0,0) 2²+ y² +1 [2²sin +3² sin, (2, 3) (0,0) (b)…

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Q: Use Laplace transform to solve the partial differential equation: d'y dy +xt where y(x,0) = 0,…

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Q: in the magic square so that the sum of the numbers in each row, columm

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Q: A cubic equation f(x) = 0 has one real root a and two a, ß+iy and B-iy respectively on the Argand…

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Q: Prove that the sum of the three variables of the sum exponent f(x) = Σe is strictly convex. For this…

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Q: Let f, g be two functions defined from R into R. Translate using quantifiers the following…

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Q: owing assertion: n

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Q: Use the given graph to estimate the value of each derivative. ya y = f(x) 0 1 (a) f'(0) 1 (b) f'(1)…

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Q: If ƒ (0) = 1, ƒ (1) = 2, ƒ(2) = 33, f(3) = 244. Find a cubic spline approximation, assuming S" (0) =…

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Q: Trisect a given quadrilateral by means of two straight lines drawn from (i) one of its vertices;…

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Q: Use Laplace transform to solve the partial differential equation: dy dy +xt where y(x,0)= 0,…

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Q: Find 2x2 matrices, A and B, such that AB = 0, but BA is NOT EQUAL to 0.

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