the inverse Laplace transform of the following function: 68²-50 s+92 f(s) = (S-2)(8-3)(8-4)

Q: Suppose you want to have $600,000 for retirement in 25 years. Your account earns 10% interest. a)…

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Q: 1. Consider L{y(t)} = Y(s). By solving the equation ty"(t) + 2ty(t)=0 con y(0) = 0 you have to: A)…

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Q: y=-0.2(x-5) - 6

A: Given: y=-0.2x-5-6 To list: Parent function and 4 transformations used.

Q: 12. Consider the function f, such that f and f' are continuous for t≥ 0, defined by 37t - 95 0≤t<7…

A: Also given  f'(t)=37+(4t-28)u(t-7). We find the value of b.

Q: (a) Draw a direction field for the given differential equation. (b) Based on an inspection of the…

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Q: Z is a complex number

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Q: 41. y' + (1/t)y= 3 cos 2t, t> 0

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Q: The function f is defined as follows. X if x #0 f(x) = if x = 0 2 Plz solve all parts I' upvote your…

A: Given: The value of the function. To find: a) Domain              b) Locate intercept…

Q: 19 1. The expression -1 n is equal to n=1 9 O 45 O 50 O 362880

A: I have given the answer in the next step. Hope you understand that

Q: Solve by using the method of undetermined coefficients :

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Q: 1. Consider L{y(t)} = Y(s). By solving the equation ty"(t) + 22ty(t) = 0 con y(0) = 0 We have that:…

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Q: Q2. Find the angle between the vectors and .

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Q: Evaluate the z transform of x(n) = c" u(n

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Q: Prove that.

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Q: 5. For each of the following functions from R+ → R, find the least integer n such that f(x) is O(x)…

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Q: Taylor Series Approximation Formula f" f(x) = f(a) + f'(a)(x − a) + ¹" (a) (x − a)² + ² -(x − a)³ +…

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Q: 2. Given vectors and with || = 8 and || = 13 and an angle of 50° between them. a) Find |ỹ - ū

A: Let us solve the given vector problem in the next step.

Q: Draw a direction field for the given differential equation. How do solutions appear to behave as…

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Q: If You have this information about return of stock in 3 periods: -12%, 20% and 25%. calculate: The…

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Q: Is the function u(x, y) = x² − y² harmonic? If your answer is yes, find a corresponding analytic…

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Q: Let V be a n-dimensional vector space over F. Suppose W1 and W2 are two (n − 1)-dimensional…

A: It is given that V be an n-dimensional vector space over F and W1 , W2 are two (n-1)-dimensional…

Q: Consider the convolution f(t) = 30 U (t-14) where U corresponds to the step or heavyside function…

A: Given ,                                                                          f(t) = 30 *…

Q: Let pn (2) be the Taylor polynomial of degree n of f(x) = cos x about Problem 2. a=0. How large…

A: The given function is: fx=cos x The remainder for the Taylor series about x=a is determined as…

Q: 3 lim Z→2 (Z-2)4 ∞

A: We have to find the limit.

Q: 3. Given f(x) = x + 1 and g(x)=x² - 2x - 3 a) Graph f(x) and g(x) on the same axis. V b) Use the…

A: For a function: y=f(x), the dependent variable is y and the independent variable is x. The value of…

Q: Use Euler's method to compute the approximate y-values, y(1.2) and y(1.4), of the solution of the…

A: Numerical differentiation:  Euler's method

Q: A function f:R →→R, where R is the set of real- ax² + 5x - 8 numbers, is defined by f(x) = Find a +…

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Q: Given vectors: ū = (4, 9), v = (-8, 15) and w=(2, 10) a) Show that and w can span R². b) Write u as…

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Q: e work is hard

A: 16. Given,              3906×4=

Q: 5. Find the slope for f(x, y) = xey at P (2,0) in the direction of the line from M(2,0) to N(-1,2)

A: To find the slope for function f at point P in the direction of the line from M to N.

Q: with y(0) 2 and y/ (0) = -1. y' + 4y = 3 sin 2t

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Q: (A) Find the general solution to ONLY ONE of the following differential f ations (1) (sec(y))² y' -…

A: We solve the given ODE  (sec(y))2y'-3tan(y)=-1 ......(1)

Q: (15 49)} = at* e²¹ sen(71), et 2-¹ {-98 (8-2)² +49)} = What's the value of a*c?

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Q: Find the indicated vector. Let u-[] [] u= V= Find 7 v - 6 u.

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Q: 1: Which of the following vectors are linearly dependent? 21 1 2 A: -4 and L C: 0 B: 2 and 4 [3] [6]…

A: We know that definition of linearly dependent vectors ,  A set of vectors is linearly dependent if…

Q: Find the determinant of by cofactor expansion. 5 0 7 0 1 -7 - 4 0 0 6 -8 0 0 0 3 0 0 - 20 -54 0 1 0…

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Q: Question 2. Let E be the solid region inside the surface x² + y² + z² = 25 and above the surface z =…

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: o q Lor -00 10 The function determining the shapes above is f(x) = a√z. The area shown on the first…

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Q: Solve the equation (x+2) Siny dx + X cosydy=1 собуду=0

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Q: 4. Solve the following initial value problems: (a) y" + 5y' +6y=e-'8(t-2), x' - 3x +2y = sint, (b)…

A: Since you post non interlinking three questions so as per our guideline we can solve only first…

Q: ranslate each argument into symbolic form (using the suggested letters) and determine whether the…

A: An argument consists of a number of simple propositions. All simple propositions are connected by…

Q: 4: Which of the following functions has gradient vector [4x₁x₂2 2x² 3x3]¹? A: f(x) = 2x³ + 2x³ +…

A: To find: Which of the given functions has the gradient ∇f=4x1x2  , 2x12, 3x32T.

Q: Z is a complex number

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Q: Find the standard matrix of the transformation T: R2 → R² where T is a vertical shear with shear…

A: This question is related to linear transformatiom.

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (-1)+¹k! (2k -…

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Q: ] From the following frequency table

A: Given the frequency table  C 0-4 4-8 8-12 12-16 16-20 F 2 3 5 4 6

Q: Find the complete integrals of the equation (p² + q²)y=qz

A: We know that , First order non linear partial differential equation has the form ,  fx , y , z , p ,…

Q: Find

A: We solve by Gram-Schamidt process.

Q: The function f is defined as follows. X if x #0 f(x) = 2 if x = 0 (a) Find the domain of the…

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Q: 5: The Hessian matrix for f(X) = x}xy + x3x3 at the point (1 2 3], is given by: [6 0 31 [3 0 61 [18…

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