Question 2: Apply the modified Euler method (Runge-Kutta of order 2) with h = 0.1 to determine an approximation to the solution to the initial-value problem y' = y – t, 0

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A: We will satisfy the solution with given ODE to get value of m.

Q: 5. Let o1, 02, 03 be the Pauli spin matrices (? 0 1 1 0 1 03 = 01 02 i and oo = I2. Consider the…

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A: Solution

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Q: In a class of 100 computer science students, 60 know Python, 36 know Java, and 52 know C++. 18 know…

A: To find number of students that know all of three languages.

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A: The given function is f(x,y)=1 if (x,y)=(0,0)x2+yx+y if (x,y)≠(0,0) First we will show that the…

Q: 3. A student wishes to estimate the area of a garden. He measures the width of the garden at regular…

A: We have to use Simpson 13  rd  rule here  ∫abfxdx≈Δx3​fx0+4fx1+2fx2+4fx3+2fx4+⋯+2fxn-2+4fxn-1+fxn…

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Q: If f is just that L = e*[- sin(x + y) + cos(x + y)] and = -e* sin(x + y) which if the ay following…

A: Given ,  ∂f∂x= ex{ -sin(x+y) + cos(x+y) }    &amp; ∂f∂y= -ex sin(x+y) Now we find  f(x,y)  by…

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Q: The rate of cooling a metal ball can be expressed as dT 3D - k(Т — Та) dt Where T= temperature of…

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A: The eigenvalues of a square matrix A is given by the roots of the characteristic equation det (A-…

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Q: A rectangular prism is 3/4 of an inch wide and 1 1/2 inches tall. The prism's volume is            1…

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Q: 3. xdy – ydx = 3x2(x² + y²)dx 4. (3x2 + y?)dx – 2xydy = 0

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Q: 1 J (5x)sin X )dx + 5 (5x – 15)sin 1.5 NT X |dx 1.5 1.5

A: To solve the given integration.

Q: Give an example of a set S which is (i) bounded above but not bounded below, (ii) bounded below but…

A: (i). We consider the set which has bounded above but not bounded below

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Q: Determine the vector equation of a line that is perpendicular to the line, p = |-4, 4, 9 + t|-1, 3,…

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Q: Express the following set in set-builder notation. B= {12, 13, 14, 15, 16, 17, 18, 19} Choose the…

A: The given set is                          B=12, 13, 14, 15, 16, 17, 18, 19 We have to express the…

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Q: R denotes the set of real numbers and (*) is an operation on R such that a * B = a +B+ aß for all α,…

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Q: 3. By subtracting and applying Green's Theorem again, show that (gVf – fVg) · nds for-1 ef – fv°g)dA…

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Q: Draw the components part diagram for the following table using a scale of 1:12. Label you…

A: Given: Draw the components part diagram for the following table use a scale of 1:12.

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A: We can solve using given information

Q: Use the total enumeration method to solve the problem below.   Amy, Jim, John, and Kelly are…

A: Given- Amy, Jin, John, and Kelly are standing on the east bank of a river and wish to cross to the…

Q: Determine what number the product is congruent to in mod 3. 5.8 5.8 = (mod 3 )

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Q: Use the Binomial theorem to find the constant term in the expansion (x -

A: To use the Binomial theorem to find the constant term in the expansion of x−1x8.

Q: 6cis (π/2)/ 12cis (π/8) Divide. Leave your answer in trigonometric form.

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Q: DESCRIPTIONS C. Cardioid, F. Rose with four petals, I. Inwardly spiraling spiral, L. Lemacon, M.…

A: To match each polar equation to the best description.

Q: b. the tank height in mm. 2563.7 O 2.5637 256.37

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Q: 1. For each situation, tell whether it could be modeled by a linear equation, and explain why or why…

A: To determine which of the given situation can be modeled by a linear equation.

Q: 4 -3 2 1- -8 -7 -6 -5 -4 4. 5 1- (-1,=1) 2 (0, –2) -3 |(1, –4) -4 -5 -6 -7 -8 f (x) =| log (x+

A: We can solve this using given information

Q: The matrix -12 7 A = 7 -5 -7 -14 has A = -5 as an eigenvalue with multiplicity 2 and A = 2 as an…

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Q: sam deposits 150 in a savings account and earns 6% compounded monthly will she have enough savings…

A: Follow the steps.

Q: A. Find the interval of convergence of the series k!(x – 1)*. Justify your k=0 answer.

A: (A) The given power series is ∑k=0∞k! x-1k. To find: Interval of convergence of the given power…

Q: VI. Use Lagrange Multipliers to solve the following: Maximize f(r, y, z) 4r + 2y + z %3D subject to…

A: The given function is f(x,y,z)=4x+2y+z     andConstraint g(x,y,z) = x2+y+z2-1 The Lagrange…

Q: Graph the following polynomial function. Find all the stationary points. Use the second derivative…

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Q: II. Consider the function g defined by 1 g(r, y) = cos (7x/9) + log3(r – y) Do as indicated. 1.…

A: 2) Given g(x,y) = cos(πxy) +1log3x-y…………………………(1) Differentiate equation(1) partially with respect…

Q: 1. Consider the space of absolutely convergent sequences equipped with the following norm 1/2 00 I|…

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Q: Give the amplitude or period as requested. Amplitude of y = -5 cos A 8Tt В D) 5

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Q: Write the Mayan numeral as a Hindu-Arabic numeral. 1 2 3 4 5 7 8 9 **. 10 11 12 13 14 15 16 17 18 19…

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Q: Let Rn be the group of rotations of a regular pentagon, and let r be counterclockwise rotation by…

A: Given that Rn be the group of rotations of a regular pentagon and r be the angle rotation by 2πn. To…

Q: Let y(t) represent your bank account balance, in dollars, after t years. Suppose you start with…

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Q: 5. The scores, in points (Pts), for the Tallygaroopna Football Club from their matches are tabulated…

A: The given table is as follows score frequency 100-109 9 110-119 16 120-129 13 130-139 1…