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Q: A) The fraction  b/a  may be written as  b/a = (a+b−a) / a = 1 + (( b−a ) / a ). Use the power…

A: Given, Variables required for the expression of  inductance (L) To find: a) Inductance approximate…

Q: Tumor is Malignant Tumor is Benig 07

A: Given,        Tumor is Malignant      Tumor is Benign  Total Positive Mammogram…

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A: Given, The table below which gives the height of the mound. To find: Overestimate (using the upper…

Q: 3. |sin 3xsin 2x dx

A: To find the integral  ∫sin3xsin2xdx

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A: Here given that a=9, b=12, c=17 and d=30 Here we imagine two rectangles of side a , d and (c-a) , b…

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Q: Use spherical coordinates. Evaluate (6 - x2 - y?) dv, where H is the solid hemisphere x² + y? + z? <…

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Q: How many distinct permutations can be made from the letters of the word STATISTICS?

A: Given word is STATISTICS

Q: Use the Cayley - Hamilton theorem to calculate 3 -2 -1 A-1 and A4 if A = 3 4 -2

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Q: many ways may 5 students be seated in a row for a pictorial? 21. How of 5 chairs

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Q: In the recent "Asian War" in the South China Sea, the allied forces captured 6,400 of China's…

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Q: 3. Find a matrix that has eigenvalues of = 3, –4 and corresponding eigenvalues v = -3

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Q: Use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integral for…

A: To determine whether the below integral converges or diverges. ∫4∞dxx4+8

Q: dw and at the point (w, x, y, z) = (22,1, – 1, – 2) if w =2x²y? +2yz- 2z° andx? +y² +z? = 6. Find…

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Q: Transform the given differential equation or system into an equivalent system of first-order…

A: To transform a second order differential equation in which x is the dependent variable,into a system…

Q: For problems 1 $2, include diagrams with clearly defined variables, explanations, primary and/or…

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Q: 21. Draw a parallel-form block diagram for each of these system transfer functions. 18 (a) H(z) =…

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Q: Use an appropriate local linear approximation to estimate the value (2.03)^3

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Q: In a chess tournament, each pair of participants must play with each other exactly once. Two players…

A: We will use combination here  Number of way r object can be selected from n distinct object =…

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A: The complete solution is in given below.

Q: 5. Draw a phase line for the autonomous differential cquation and label cach cquilibrium point as a…

A: Note: Critical points of a differential equation x'=f(x) is given by f(x) = 0.

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Q: Write the Sample space, outcome or event of the ff: 1. A couple has 4 children. If 2 of their…

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Q: Diagonalize the following matrix, if possible. 10 1

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Q: Write the Sample space, outcome or event of the ff: 3. Choosing a heart card in an ordinary deck of…

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Q: 55. Batting Orders The manager of a Little League baseball team has picked the nine starting players…

A: Here the manager of a Little League baseball team has picked the nine starting players for a game.

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A: Evaluate the indefinite integral as a power series. What is the radius of convergence?

Q: Number 16 only

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Q: 3. Let f(x) =1+x+x² + x³ + æ“ + x³. (a) definition of Taylor polynomials. (b) Find T3(x), the Taylor…

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Q: The following problem represents a dual maximization problem:  Max Z = 2y1 + 3y2 subject to…

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Q: Consider the Initial Value Problem: y = -2ỹ + 3x - 4, y(3) = 5. In order to use Euler's method to…

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Q: Find the solution. Auxiliary equation and general solution y'= 1 + 3ytanx

A: First order linear differential equation.

Q: If A is a diagonal matrix, its determinant is the product of its diagonal entries, and its inverse…

A: Given, a) Diagonal matrix,A=400000200000100000120000014 b) Diagonal…

Q: Suppose that B and C are ordered bases of R. Find the conversion matrix from B to C.

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Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used…

A: For relative maximum or minimum To maximize or minimize  a function f(x) 1st we need to find its…

Q: Question 1 *Consider the Bernoulli equation r + 2y = 62°y. da dy (a) Find an appropriate…

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Q: If you are a fire-eater, then you work in the circus. If you don’t like cotton candy, then you don’t…

A: Solution:     Let us define the logical symbols          f = fire-eater          c = work in circus…

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A: The Objective of the LPP is to maximize the value of total Audience exposure by allocating proper…

Q: 3 2 Rank of the following matrix is A = |4 2 | 6. 7 4

A: To find The rank of a matrix.

Q: Choose the direction vector for which the function f defined by f(x,v) = sin(7x)cos(13y) has the…

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Q: (c) all f such that f(3) = 1 + f(-5); (d) all f such that f(-1) = 0; (e) all f which are continuous.…

A: (c) S = { f : f(3) = 1 + f(-5) }       Let f, g € S.        Then f(3) = 1 + f(-5)…

Q: (a) Find the general solution of the given system of equations. x = (; )* 1 -2 3 -4 () x(t) = c1 +c2…

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Q: What do you call a pictorial representation of relationship of two variables in a coordinate plane?…

A: Scatterplot is a pictorial representation of relationship of two variables in a coordinate plane. Or…

Q: For the given matrix and eigenvalue, find an eigenvector corresponding to the eigenval

A: To find the eigenvector of the matrix for the corresponding eigenvalue. Matrix: −24−148446…

Q: Consider the Initial Value Problem: y = -2,ỹ + 3x – 4, y(3) = 5. In order to use Euler's method to…

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Q: If the series y(x) = C, x" is a solution of the differential equation 3y" – 5xy = 0, then Cn+2 =…

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Q: 2.~rw 4. (CAh)→-1 - (CAh) 6. ~j→-(sv~ p) - (sv p)

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Q: 2. If A1(t) and A2(t) are continuous in (a, b), and ¤(t) is a fundamental matrix of dX dX the…

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Q: Let 2 8 -1 -6 4 1 7 A = -1 -4 1 7 1 -1 7 8. The matrix 1 0 4 1 5 1 1 3 9. U = 0 0 6. 1 8 0 0 1 7 is…

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Q: Given the following piecewise function, 2x2+3x-5 f(x) = x 0 1. Identify and classify points of…

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