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Q: The exponential growth model P=50e0.07t describes the population of a city in the Philippines in…

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Q: Find a matrix P such that P'AP orthogonally diagonalizes A. Verify that P'AP gives the proper…

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Q: If C= Ea33, y=Ebn}, show that x and y are equivalent if and oniy if, for all rational nly E>0, there…

A: The given statement is " if x=an and y=bn , show that x and y are equivalent if and only if for all…

Q: . Apply to the initial value problem y' = -xy + 1, y(0) = 0 three steps of the Picard-Lindelöf…

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Q: A manufacturing process produces a critical part of the average length 110 ​millimeters, with a…

A: Given: We have given critical average length 110 with standard deviation 2. We need to calculate…

Q: find yourself in is that you have been given 24 meters of fencing material. You must maximize the…

A: Sol

Q: Example: Find Lt sint ? Solution:

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Q: 5. ints) Let v1,..., Un be vectors in a vector space V. Suppose w is another vector in V. Determine…

A: To prove: :  Span(v1,.....vn)=Span(v1,v2,....,vn,w), if and only if  {v1,v2,......vn,w} is linearly…

Q: Draw a bipartite graph with a vertex partition into the two sets {v1, v2, V3, V4} and {v5, v6, v7}…

A: This is a problem of graph theory.

Q: 15 Identify and record the for intervals (interval notation) and points (ordered pairs -- x,y)…

A: Sol

Q: Verify Green's Theorem by evaluating both integrals aN y2 dx + x2 dy dA ду - əx for the given path.…

A: For c-1 sign is negative because of opposite direction

Q: section method to find

A: Given,          sinx-e-x=0, 0, 1

Q: |e*y dx+e* dy; C: r(t) = (t+ 1, ),-1si<3 Exercise 97.

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Q: If two dice are rolled, find the probability ofshowing a sum of 7 or 11 ? O 1/18 O 7/36 1/4 O 2/9

A: We have to find the probability of showing the sum 7 or 11

Q: Al. (a) Give an example of parametrised curve y : (0, 1) → R' which is i. not regular; i. regular…

A: Sol

Q: 1.21 Decide whether each subset of R3 is linearly dependent or linearly indepe: dent. 4 (b) { | 7 7,…

A: decide whether each subset of R3 is linearly dependent or linearly independent. (a) 1-35 , 224 ,…

Q: Use Newton's method to approximate a root of the equation 5a+ 7x+3 0 as follows. Let 1 =- 1 be the…

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Q: Suppose F(x, y, z) = (x + yz, 3 cos(xz) – 7y, 5z + eª). Suppose S is the ellipsoid y? 22 4 9. 16 k…

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Q: .Construct a truth table for each of the following compound statements. (a) (p^q) → q. (b) (¬p) → (p…

A: Solution:

Q: Exercise 94. Evaluate ſcF dr where F(x,y)= xi- yj and C is the line r(t) = (1 -1, t), 0<I<1. If a…

A: Vector field and conservative vector field

Q: Q8. Fact: the series S = Σ converges by virtue of the Alternating Series Test. n n=1 According to…

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Q: Let W be the subspace of R4 spanned by the vectors 1 and -1 5 1 Find the matrix A of the orthogonal…

A: *As this problem is related to Orthogonal Projection, hope you know how to find inverse of a matrix,…

Q: (-1)" Σ 08. Fact: the series S = converges by virtue of the Alternating Series Test. n n=1 According…

A: We have to find the smallest value of N for which error is at most 0.088.

Q: Find the Maclaurin series representation for each of the following functions. For each series: i.…

A: Given : (a) f(x) = (1-2x)34 To find :  To find the Maclaurin series expansion of the given function.

Q: ((V x F)(x)) u = 1 lim r-0 Tr2 F. ds, he circle of radius r in R3 centered at x lying in the plane…

A: Sol

Q: Let М — 2 Find formulas for the entries of M", where n is a positive integer. 2·4" – 3" 2(-4)"+2· 3"…

A: The solution is given as

Q: EXAMPLE 4.4 Ans: 3 Given the following data: -1 3 y3Df(x} Approximate f(2) by using Newton's divided…

A: We approximate f(2) by using Newton's divided difference interpolation.

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Find the eigenvalues A1 < A, and associated unit eigenvectors ū1, ū2 of the symmetric matrix 6 A 6…

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Q: Q14. For each of the following convergent series, find its exact sum. Show all your work ! 3" +…

A: Geometric series and telescoping series

Q: x8dx (а2+x?)2

A: We can solve this using substitution method and partial decomposition

Q: Exercise 93. Use what you know in the previous problem and the fact that the vector field F is…

A: We have to evaluate ∫CF·dr  where F=&lt;excosy,-exsiny&gt; and C is rt=&lt;t,t2&gt;, 0≤t≤2

Q: eration due to gravity on Earth's surface is g = 9.8 m/s². Let x be the height (in m) measured from…

A: Sol

Q: Q12. Let R be the region that lies between the curve y = x2/3 and the x-axis on the interval [2,…

A: We have to find the volume of solid obtain by the revolving of R about x axis..

Q: determine what is represented by x and y? 6X 9+ 1 2- 8+ y x = 1; y = 3 x = 2; y=3 || Option 1 Option…

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Q: Question 2: The velocity of a dragster t sec after leaving the starting line is 100te -0.2t ft/sec.…

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Q: A manufacturing process​ produces, on the​ average, 3​% defective items. The company ships 15 items…

A: The word probability comes from the word probable, meaning 'likely but uncertain'. Thus the…

Q: vave equation (Hint: the formula for the Laplacian of a function pending only on |x| in R^3 ). This…

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A: Given: sin x-e-x=0 We have to find the solution using the fixed point iteration method.

Q: Prove by conventional integration that the Laplace transform of the given function is equal to the…

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Q: Question 8: Find the volume of the solid bounded above by the surface z = f(x, y) = 2x+y and below…

A: Volume bounded by xy-plane

Q: Follow up for section 2 sin(e*) Stopping criterion: Absolute error f(x) = e=0.00001 1. Given f(x)…

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Q: Consider the f(x) = cos(x-C) function shown in the figure in blue color, where 0 sCs 2n. What is the…

A: Using graph cos0=1cos(0-c)=-0.75cosc=-0.75c=2.4Approx

Q: Find the transfer function represented by d^2c(t) +5 dt^2 dc(t) 8- + 3c(t) = 2r(t) dt

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Q: If there are 4 roads from Town A to Town B and 6 roads from Town B to Town C, in how many ways can…

A: Solution:  It is given that there are 4 roads from town A to town B and 6 roads from town B to town…

Q: Find the fourier transorm for the following signals a) f(t) = Scos20t

A: Please post the multiple questions separately. Here I answered 1st question as per our policy.

Q: Find a unit vector u in the direction opposite of (-9,–2, –1). u =

A: Given vector is  -9, -2, -1

Q: A factory has the capacity to package 3,000 quintals of rice daily. It packs premium rice and select…

A: We have to calculate the quantity of each type of rice to be packaged to maximize profit and we have…

Q: 1. The conventional algorithm for evaluating a polynomial a„x“ + an-1x" at x = c can be expressed in…

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Q: AC, DB, DC, ED, EC, and EA. O cm, DB = cm. DC =

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