1. Find the Laplace transform using the differentiation rule: a) t cos 4t b) cos² (2t) Find the inverse Laplace transform using the integration rule: 3 c) 3²+5/4 1 c) s(s²+w²)

Q: -4 FE f (x) lim f(x)=\ H--3 -3.1 -4 -400 lim f(x)=\ HI-3+ lim f(x)=\ 4-3 Submit А -3.01 -40000…

A: Given table…

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Q: 5. Compute A63, where 4-621 A =

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Q: 5. Use a proof by contradiction to prove the following proposition: For all nonnegative real numbers…

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Q: Practice: Show that if C71, then the series is convergent. EMIAN² NCIn

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Q: Find the general solution of the system x'(t) = Ax(t) for the given matrix A. A = 1 4 17 1 9

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Q: Convert 743km to metres. ratio 44:52 in simplest form a calculator is R^(258) withou he VAT…

A: Formula:  1 kilo meter = 1000 meters           743 kilo meters =   meters…

Q: Problem #8: Use Divergence theorem to find the outward flux of F = (6x², e¹², cos³(y² + x)) of the…

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Q: In P2, find the the standard basis C = {1,t,t²}. Then find the B-coordinate vector for 1 - 2t + 2t².…

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Q: In this question, you will build a matrix from the eigenvectors and eigenvalues, instead of the…

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Q: The fuzzy sets

A: Figure shows the fuzzy relation:Note that the first matrix is the relation between H and D , where…

Q: 5. (a) Sketch the graph of Solution: -4 -2 6 4 2 2 -4 f(x) = (x-1 if x 4 508 2 +0 4 6 8 X

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Q: : Use the linear regression formulas to find the slope (a1) and the intercept (?0) of the best fit…

A: Given information:Data points:y-3.3-7.1-9.8-12.3-14-21.4-21.3-28.6-2To find:The slope of the…

Q: Calculate lim k→∞0 1 k (1+x)** *√x -dx

A: Given…

Q: If the radius of a circle is 3 times a given arc length, calculate the sector angle subtended by the…

A: According to guidelines we can solve only first one as they are multiple questions.

Q: If line 3x-ay-1=0 then find the values of a. is parallel to the line (a +2) x-y+3=0

A: Given that the line is parallel to the line .We have to find the value of a .

Q: There are some following steps to find the absolute max and min of f f (x) = 3x 2x² + 2 on [-4, 4]…

A: Given function is  , and we have to find the absolute max/Min in interval [-4, 4].

Q: 19. (In z)² da Answer

A: Since you have posted a multiple question according to guidelines I will solve first(Q19) question…

Q: Let G be the set of all real-valued functions fon R such that f (x) cannot equal 0 for all x E R.…

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Q: 7. Among all rectangular solids defined by the inequalities 0 ≤ x ≤ a,0 ≤ y ≤ b,0 ≤ z ≤ 1, find the…

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Q: (a) Evaluate the following double integral and sketch the region R ³² (x + y)² dydx S2²ª (b) Change…

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Q: 1 Find the Taylor series of centered at z = -3. 2

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Q: Supposer FCE, acE is algebraic F and dog (a/F) 13 odd. Proveo that F(a)= F(a²). over

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Q: 81 I1 a3 0 1 0 1 2 1 0 0 -1 1 -½¼/4 0 0 0 -1 1 (b) Is this tableau optimal? Explain your answer. 7…

A: Given Information:Tabuleau for particular LPP using big M method is given as…

Q: 2. For each of the following items, state which U.S. customary units and which metric units in…

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Q: In a school picnic, a total of 43 students brought a backpack, a lunchbox, or both a backpack and a…

A: In this question, we will see how many students brought both a backpack and a lunchbox.

Q: Find two numbers that meet

A: Then x+y= 15 xy= 56we solve the equation to find the value

Q: 3n+1 n→∞⁰ 7n-3 lim, 3 7 1 lim→∞ ((−1)" + −) does not exist. n

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Q: How would you write a formal proof for if AnB = B then B is a subset of A?

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Q: Recognize whether each relation is a function, and state its domain and range. a) b) 8- 24 -2 0 -N 2…

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Q: Let w, a,y, z be vectors and suppose z = -2x - 2y and w=2x+4y+ z. Mark the statements below that…

A: Given  are vectors and  and  .To choose which of the statements are true.A. B. C. D. The span of…

Q: Apply least squares fitting to derive the normal equations and solve for the coefficients by hand…

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Q: Use differentials and the graph of f to approximate the following. (Round your answers to three…

A: With the help of given graph we have to approximate the  given point.

Q: Homework: Find the Fourier transform of the signal given below y(t) = Y(w) = ? -12 2 0 >t

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Q: Find two linearly independent power series solutions: y" + 9y = 0

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Q: Problem #2: Use Stokes' Theorem (in reverse) to evaluate (curl F)-nds where F = 4yzi+ 5xj + 5yzek,…

A: For a given F and S is the region of paraboloid we have to evaluate the given integral.

Q: f be a function continuous on [0, 1] and twice differentiable on (0, 1). (a) Suppose that f(0) =…

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Q: 2. There is a circle whose radius r is changing with time t. We are interested in the area A of a…

A: (a) Area at we have given that now evaluated r and  at the initial area is

Q: Find all periodic solutions of the equation y" - 3y + 2y = sin x.

A: In Mathematics, a differential equation is an equation that contains one or more functions with its…

Q: Calculate the average rate of change for the function f(x) over the interval -2 ≤ x ≤ 5 -3x² 2 == -…

A: over the interval .We have to find the average rate of change for the given function.

Q: 96. Let m be the number of local minima and M be the number of local maxima. Can you create a…

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Q: The website for Company A receives (6\times 10^(14)) visitors per year. The website for Company B…

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Q: 1 (-1)^-1 n! that the series is convergent or divergent?

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Q: Find the Laurent series for 2 4)(z - 6) partial fractions on (2 2 4)(z - 6) on the annulus 4 < |z| <…

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Q: 1) Prove the identity 2n (²x) = ² (²) + ²n (2) 2 2n 3 3

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Q: There are TWO (2) questions. Answer ALL questions. QUESTION 1 Apply Newton's method to solve the…

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Q: Find the maximum value of f(x1,2,,xn) = (x₁ - x₂ ... n)¹/" where x₁,..., In are positive numbers and…

A: (a) Maximize?(?1,?2,...,??)=?1?2...??n subject tog(x1,x2,...,xn)=x1+x2+.........+xn=cand xi&gt;0By…

Q: X 13 -2 lim f(x)= x-14 lim f(x)= x-14 lim f(x)=\ x-14+ aluate the following limits: 13.9 -2 13.99 -2…

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Q: Diego bought some raisins and walnuts to make trail mix. Raisins cost $4 a pound and walnuts cost $8…

A: Diego bought some raisins and walnuts to make trail mix.Raisins cost  a pound and walnuts cost  a…

Q: 5. Consider the differential equation x'y" +8x²y" +9xy'-9y=0. Verify that the given solution…

A: The given differential equation is .To verify: The given solution functions  form a fundamental set…