The equation that gives the depth x to which the ball is submerged under water is given by x² -0.165x +3.993×10 =0 a) Use the bisection method of finding roots of equations to find the depth x to which the ball is submerged under water.

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A: Since you have asked multiple question, we will solve the first question for you.  If you want any s...

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A: We will use the basic knowledge of linear algebra to answer this question properly, in detail.  We f...

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Q: -x 0 if and only if x = 0. O Cannot be determined O False O True

A: Question 9 Given -x4 > 0   ---(1) As  x4 > 0 => -x4 < 0   ---(2) So from (1) and (2) we ...

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Q: 5. Solve the following equation for x. (4x+ 18) = 3x +4 6. If f(x) = x? - 1 and gx) = 3x + 10, what ...

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A: Given: ∫dx(x+x3)(xtan-1x+1)=lnF(x)+C    ...........(1)We have to find F3 if C=0

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Q: f z = e^(-t)(\sin x+\cos y), show that (∂^(2)z)/(∂x^(2))+(∂^(2)z)/(∂y^(2))=(∂z)

A: Given  z = e-t ( sinx + cosy)∂z∂x = e-t cosx,   ∂z∂y = e-t ( -siny ),  ∂z∂t =- e-t (sinx + cos y )

Q: Let S be a 2D subspace of R. Find projs if projs =

A: Let S is a 2D subspace of ℝ3 projs<2,-1,1>=<0.5,0.5,1> So consider the 2-D plane given b...

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Q: 1. Find the solution of the following system of equations using LU decomposition. Enclose the "L" an...

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Q: S (2- (2- sec2r) en(ale), secx -dr to be integrable using the formula What should be the value of A ...

A: We have to find the value of A.

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Q: We now construct a graph G on 8 vertices as follows. Let B = {0000, 0001, …, 1111} be the set of bi...

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A: Solution

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Q: 1. For the scalar field 0 = x³ + 2xy in the domain ABC below, calculate the gradient field and then ...

A: The complete solutions are given

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Q: If a car can travel 180 kilometers in 2 hours, how many hours will it take the car to travel 315 kil...

A: Given that car can travel 180 KM in 2 hours .

Q: Let S be a 2D subspace of R°. Find projs if projs =

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Q: Let n be a positive integer, and consider the recursive sequence ao = 1, a1 = 1 and for n > 1, An+1 ...

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Q: Use the method of singular perturbation to understand the qualitative behavior of the following syst...

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Q: E Quation: 13-0.2x+0.0015x2 Compare C'(400) with the cost of manufacturing the 401st yard of fabric....

A: We will calculate C'(x) from the given equation and then compare it with C(401)-C(400)  

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Q: Question 1. Suppose that A E Mnn is an orthogonally diagonalizable matrix with n different eigenvalu...

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Q: An edge is called a bridge if the removal of the edge increases the number of connected components i...

A: G can have atmost 2 bridges.

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A: Some of the properties of integration  If I=∫f'(x) g(f(x)) dx then using substitution t=f(x) then t...

Q: 2y + 5z - 3w = 16 2x + 3y + 3z + 4w = 110 2x + 5y -3z + 4w = 74 -x+ 4y + 5z - 2w = 30

A: We will reduce the system in echelon form by using row operations.

Q: D. Find Az) = u(x, y) + iv(x, y) with u as given. Check for analyticity. (a) u= x/(x² + y³)

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Q: An edge is called a bridge if the removal of the edge increases the number of connected components i...

A: We draw a graph without loop, find number of bridges by removing edges.

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A: This is question of calculation on fractions. Solution is given below.

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Q: Solve the following system of homogeneous linear differential equations. Show your detailed solution...

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Q: For each of these pairs of integers, determine whether they are congruent modulo 7. a) 1, 15 c) 2, 9...

A: Please find answer of all six question in next step

Q: The line L, and plane II, have equations 4j+9k 19 Π : c-(24+6/+9%)-3. Compute the angle in radian be...

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Q: In a certain chemical reaction the amount, x grams, of a substance is decreasing. The differential e...

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Q: Hint: This follows easily from a certain string of inequalities; E 1-14 is relevant. *39. Suppose ƒ ...

A: We will use concepts of  Riemann integration 

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A: