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Q: (5xy --- 6x(2^

A: Given,        F=(5xy-6x2)i+(2y-4x)j and   y=x3 from the point (1, 1) to (2, 8).

Q: 'ind the inverse Laplace transform of 1 H(s) : 1 2 + 4 1 -4s %3D

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Q: Determine the truth value of the statement and prove it on a sheet of paper: D= set of integers an…

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Q: Determine the truth value of the statement and prove it on a sheet of paper: D = set of negative…

A: Set of negative integers and quantifier

Q: Pritz and Jervy leave Coffee World at the same time and head for their respective homes. Pritz uses…

A: We will draw the figure and then find relation between x,y,r . Then use derivative to find relation…

Q: 土

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Q: Perform manual calculation of different Newton-Cotes Quadrature formulas to determine the area under…

A: The given function is f(x)=1+e-xsin4x. To find: the area under this curve within 0≤x≤1. i.e. To…

Q: х, + 3x, — 2х; + 2x5 2x, + 6х, — 5х,- 2х4 + 4xs 3x, = -1 + 15x, = + 8x, + 4x; + 18х, 5x; + 10х, 5…

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Q: 3. f(x) —D ех — cosx e* - 2 COSX |

A: Here ex-cos(x)-2=0Let f(x)=ex-cos(x)-2Here x 0 1 f(x) -2 0.178 1st iteration :Here…

Q: -Jo + sin(tº )]dt, find f(4). f(x) = dt, where g(x) = (1

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Q: 18. Find all critical points of f(x, y) = In(x+y) +x² – y +1 and classify each critical point as a…

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Q: How does k^2 (-uv) become (I-k^2)?

A: The cross product of two vectors takes the opposite sign when the order is changed. u×v=−v×u…

Q: Destiny runs a factory that makes Blu-ray players. Each T50 takes 6 ounces of plastic and 3 ounces…

A: We will construct a linear programming problem according to the given informations and will solve it…

Q: 19. Solve y'(1) + y(t) = sin t; y(0) = 1 by Laplace transfrom. %3D

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Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that has a power series…

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Q: 1- nullspace af now equivalent to the for the 1 1- 2. C. that puy -2 B. assume matrix pand Let A

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Q: The set 1 [O 01 B : is a basis of the space of upper-triangular 2 x 2 matrices. -3 -27 Find the…

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Q: We want to stabilize the system i = Ax(t)+Bu(t) using the state feedback u(t) = -µx1(t), where u is…

A: note : As per our company guidelines we are supposed to answer ?️only one  question. Kindly repost…

Q: 2. (D² – 4)y = 0 when y(0) = 0, y' = 3 %3D

A: To solve the given differential equation.

Q: Find the area of the surface generated by revolving the curve about each given anis. *- 7t. y= st,…

A: We have to find  the surface area generation by revolving the curve about x and y axis

Q: John has 25 students in his class. He promised to bring lunch for them on Friday. Here is what the…

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Q: A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector…

A: According to the Gauss Divergence Theorem, the surface integral of a vector field A over a closed…

Q: Using t = x +1, find the parametric equations sets that represent the graphs of the rectangular…

A: y=2x-1As t=x+1⇒x=t-1⇒y=2(t-1)-1=2t-3  The parametric equations are x=t-1, y=2t-3…

Q: Consider the following. -7 12 A = P = -2 -1 -1 (a) Verify that A is diagonalizable by computing…

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Q: TAYLOR SERIES Approximate f(7) of the function f(x) = sin(x) centered at 0, accurate to 3…

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Q: 7.4Find a subset of the vectors v= (1, -2, 1, -1), v2= (0, 1, 2, –1), vz= (0, 1, 2, –1) and v,= (0,…

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Q: Consider the second order differential equation: *+ 2% + 7y = 0 de In solutions to this question,…

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Q: Let V be the vector space of 2 x 2 matrices over R. Determine whether the matrices A, B ,C E V are…

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Q: Find the Fourier series of the given function. Show details of your work. So f(x) -T <x< 0 0 <x< T

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Q: A= (a) Find the singular value decomposition (factorization) of A. That is, find orthogonal…

A: In your question post, clearly, only one part, namely part (a), is visible to me. Just to make it…

Q: Let A - -2 -1 -2 and assume that B = -2 is now equivalent to the 1- -1 -1 1. matrix the nettsporce…

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Q: 2. Draw three different graph that has a Euler Circuit. (minimum of 5 vertices)

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Q: Find the associated half-life time or doubling time. (Round your answer to three significant…

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Q: a'(t) = -x(t – 1), x(t) = 1 on [-1,0], is given by 1(t) = E(-1)* t – (k – 1))* k! for n-1<t <n, k=0

A: As per the question we are given the following first order time varient differential equation :…

Q: Consider a set A with 10 elements.  How many different functions are there from the set A to a set…

A: Introduction: In mathematics, a function is an expression, rule, or law that specifies a…

Q: Part 2. Prove that the following are equivalent A. by Constructing a truth table 1. [p V (~ p ^q] →…

A: A) prove that the following are equivalent by constructing truth table 1) p∨~p∧q↔p∧q 2)…

Q: Find the derivative using the definition fex)- = C fcx) fCx) = そり f ex) = KX" f cx) fx) = gx).hcx) 9…

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Q: Note: Round off your answer to 4 decimal places only 16 1 -5 4 X1 3 -4 -3 -2 -8 -1 X2 -7 6. 15 11 X3…

A: To solve for x4.

Q: Determine the truth value of the statement and prove it on a sheet of paper: D = set of whole…

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Q: Use Gauss's Theorem to find the surface integral OF •dS across the positively-oriented S sphere of…

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Q: (2) Show that if f has support in a compact set A CR and g has support in a compact set B C R then f…

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Q: Use Green's Theorem to evaluate the line integral. | (x - 4y) dx + (x + y) dy C: boundary of the…

A: The given integral is ∫Cx-4y dx+ x+y dy,  where C is the region bounded by x2+y2=1 and  x2+y2=16 To…

Q: Consider the graph given above. a. How many vertices does the graph have? b. What is the degree of…

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Q: Find the area of the region R bounded by the graphs of the functions. f(x)= x , g(x) 1 h(х) — 2.…

A: The graph is drawn using DESMOS graphing calculator.

Q: Five people are in an endurance race. Suppose you randomly pick and bet on two of them. What is the…

A: We will use permutation  ( arrangement ) Number of way r objects can be arranged by selecting  from…

Q: How many random errors of magnitude plus of minus one would be necessary to have 35 different ways…

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Q: 1 Use linear approximation, i.e. the tangent line, to approximate as follows: Let f(æ) 0.202 and…

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Q: Find div F and curl F if F(x, y, z) = xz°i+ 4y°x*j+22²yk. div F= curl F=

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Q: Suppose p and q are distinct prime numbers. Find the number of positive integers r < pq such that…

A: We use Exclusion - Inclusion principle to solve this problem.

Q: We then introduce a distance function p which is given in terms of the integral norm || · |li as…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…