Find the Laplace transform, F(s) of the function f(t) = 3, t > 0. F(s) = = 1 v? ds dt dx

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A: The jar shape is approximately a cylinder with height of  and radius of We know volume of cylinder…

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A: We have to find the size of the matrix AB where size of A and B is given.

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Q: Find the limit of the sequence: a = n Enter the answer here: Blank 1 Blank 1 1/ n²_n n²+1 . If the…

A: (.)  Given sequence is,                 We find the limit of the sequence.

Q: . Determine the exact distance between these skew lines: The line through P(2,-1, 1), and Q(1, 0,…

A: The formula is

Q: Problem 2 Prove that √6 is not a rational number; i.e. there are no integers a, b € Zsuch that √6 =…

A: Since you have posted a multiple question according to guidelines I will solve first(Q2) question…

Q: Evaluate the Riemann sum for f(x) = x² - 6x on the interval [0, 3] taking 6 subintervals and using…

A: Given interval Number of subinterval

Q: Evaluate the Riemann sum for f(x) = x³ - 6x on the interval [0, 3] taking 6 subintervals and using…

A: Given interval Number of subinterval

Q: Perform the following unsigned binary divisions. Show each step of your work: a) I 1100/10000100

A: Given Information:Dividend: 10000100Divisor: 1100To find:Perform binary division.Concept used:Basic…

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Q: For Problems 1-10, a differential equation and one solution are given. Use d'Alembert's reduction of…

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Q: and e₂= Y₁ = 0 1 [8] [8] 3-8 5 and -3 X2 Let e₁= the images of [²] and y₂ = 8 and let T: R2 R2 be a…

A: Given that  and , , and .The linear transformation  such that  and .The aim is to find the image of…

Q: Compute det B4 where B = det B4 = 102 2 14 2 3 1 (Simplify your answer.)

A: Given: The matrix .To find .Concepts used:To find the determinant of a square matrix, pick any row…

Q: Find d dx x3 Stan(t² + 5)dt.

A: I have explained everything with in the solution. Please go through that.

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Q: Find the volume formed by rotating the region in the first quadrant enclosed by: y = 10.2 x 12| and…

A: and We have to find the volume formed by rotating by region.

Q: 15. Find the smallest possible real number a, such that the function is not continuous at exactly…

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Q: al Times New ... ▾ 12- BIU A- A Y E 138 7. If you get 2 imaginary answers when using the quadratic…

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Q: Suppose that a student carrying a flu virus returns to campus and that four days later fifty…

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Q: Let T : R² → R² defined by T() =. Evaluate T(e₁) for the standard basis vector ₁ : T(e₁) = (

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Q: Solve the following linear programming problem. ATTE Select the correct choice below, and if…

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Q: 10. 11. Find a unit normal to the vector d = [3, −4] a) ₁ = [₁] b)= [₁] ©^=[²] • ñ = [§ › }] /] c) â…

A: 10) Given that  .We  have  to  find the unit  normal  vector  to  the vector  Note that Then, So,…

Q: Question 3. Evaluate e² £² -dz 2² +4 Y for y being a closed contour, a) y(t) = 4eit, b) y(t) Hint:…

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Q: 1. FIND THE AREA DEFINED BELLOW 5 2(x²+1) y=1 - 1/1/2 (a) y ≤ y21-x x 30 (b) BOUNDED AREA BETWEEN…

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Q: 3. (a) Consider the DE 9y"-6y'+y=0. Show how to find a solution y, to the DE (b) Demonstrate how to…

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Q: A dietitian wishes to plan a meal around three foods. The meal is to include 8,000 units of vitamin…

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Q: 2. For a permutation Te Sn, consider = 172...n in one-line notation and let the inversions of T be…

A: As explained in the example, we have to find the number of inversions for permutation 2437165.An…

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Q: Without actually solving the given differential equation, find the minimum radius of convergence R…

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Q: (²²-1¼1) y = general solution to the nonhomogeneous equation below. Py+ty + (P-1)y=19/2, 1>0 The…

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Q: B3. Find the gradient of the following functions at the given point and calculate the directional…

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Q: 23. b) c) d) e) f) Calculus word bank. Fill in the blanks using the correct answer using words. The…

A: Here's how you can fill in the blanks using the words from the word bank:d) If f′(x) changes from…

Q: 2b. Show that if K CR is compact then K is closed.

A: Given that  is compact. we have to show that  is closed .In other words ,it is suffices to show that…

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Q: 3. (a) Consider the DE 9y"-6y+y=0. Show how to find a solution y, to the DE (b) Demonstrate how to…

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Q: Problem 11 Find and Justify your answer. 1 1 [] k=1 Õ(-1-327/1) k' k k=1

A: We see,      For k = 1,  = [-1, 1]     For k = 2,  = [-1/2, 1/2]     For k = 3,  = [-1/3, 1/3]…

Q: What is the domain of the transformation defined by B? What is the codomain of the transformation…

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Q: The data in the chart below is for the distance (in cm) to the near point, the point nearest the eye…

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Q: 4. Use the Fourier transform to find an integral formula for a solution to the Airy differential…

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Q: 0 -0.5 Graph S 0.5 Graph L 1 1 1 Graph-D D4 I can use the first and second derivatives to describe…

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Q: 2.23 Consider the triangle wave shown in Figure 2.26 as a periodic function with period 2. Determine…

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Q: Evaluate the Riemann sum for f(x) = x³ - 6x on the interval [0, 3] taking 6 subintervals and using…

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Q: Find a particular solution for the given differential equation. d²q dq La +Ra + q = Vosin (wt) dt dt

A: We will use the following formula to get the particular solution of the above differential equation…