A. Bisection method 1. Consider finding the root of f(x) = x² - 3. Let ɛstep = 0.01, Eabs = 0.01 and start with the interval [1, 2].

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A: Given the wave equation ∂2u∂t2=c2∂2u∂x2                           (1) the string is fixed at the end...

Q: Find the centroid

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Q: Solve - dx? dx dx * dx +y = (1 –etj?

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Q: (b) Write the three matrices that are used in Cramer's rule to compute the numerator of the solution...

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Q: Evathte thefottowing integtats using folar methed s

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Q: Each year Mr A sells N mature animals and buys in N young animals. The animals are worth most when t...

A: Please don't dislike wait for a some hour. I am working on this problem, once it will done I will po...

Q: State truth value of: If 1+1=2 or 1+1=3 then 2+ 2 = 3 and 2+2 = True False |Don't know Are the follo...

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

Q: 2. (a) Compute the determinant of the following matrix. 4 -5 13] A -2 3 16 7 10 8

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Q: Use Alexander Hamilton's Method method to solve the following problems. 1. Consider a country with f...

A: Here given In a country with 5 states having 40 seats in congress, And other information is given in...

Q: Let V be a vector space, and let v1, V2, V3, V4, V5 E V be distinct vectors in V. If B = {v1, V3, V5...

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Q: if x 1 x +3 lim f(x) if f(x) = 2х r→1

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Q: A quiz consists of 8 multiple choice questions, each with 5 options.  In how many ways can a student...

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Q: d'y - 9y = e3* + sin 3x dx?

A: Given differential equation is d2ydx2 - 9y = e3x + sin(3x)

Q: 6. Write down a matrix A in row echelon form with the following properties: 5 rows, rank(A) =4, null...

A: We want to find a matrix which satisfy given conditions.

Q: Let R be a ring with identity 1 and let a be an element of R such that a2 = 1. Let S = { ara : r e R...

A: we will use sub ring test.

Q: Let V be a finite-dimensional vector space, and let B be a basis for V. Let S be a subset of V with ...

A: Given:Let V be a finite-dimensional vector space, and let B be a basis for V.Let S be a subset of V ...

Q: Test the validity of the following argument S1: if 5 is less than 3 then 6 is not a prime number S2:...

A: given Test the validity of the following argument S1: if 5 is less than 3 then 6 is not a prime numb...

Q: The function f: X → Y is given. We define the relation R on the set X by the formula (x R y) ⇔ (f (x...

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Q: V1-x² 1-x²-y² e-3(x²+y²+z²)² dz dydx a) Evaluate

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Q: 7. jika z + 0 (0, jika z = 0. f(z) = Show that: a. Function f continuous for C b. f'(0) is NOT EXIST

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Q: Consider the following series. (-1)" - 1 n420 00 (lerror| < 0.0005 n = 1 Show that the series is con...

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Q: Q6) Using the Newton's forward difference interpolation formula evaluate f (2.05) where f (x) x, usi...

A: For the solution of the problem follow the next steps.

Q: "Let h(x, y) = x² + 3.xy- 6y. What is the amount of the greatest increase of h at the point (3,2)? I...

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Q: Let S be the set of all real numbers and let R be a relation in S, defined by R = {(a, b) : a < b³}....

A: Given relation is R = {(a, b) : a ≤ b3}

Q: dy -e-y +xe. dx Solve the differential equation dy Solve the differential equation (4x +y+1)*. dx %3...

A: As per our  guidelines we are supposed to answer only 1st question. Kindly repost other parts in the...

Q: 4 f4* u lt - i) + (+1) u(t -)

A: Some of the properties of the Laplace transform   Lu(t-c)=e-cssLf(t)+g(t)=F(s)+G(s)L[af(t)]=aF(s)

Q: While calculating correlation coefficient between two variables x and y from 25 pairs of observation...

A: to get the correct results we subtract the incorrect values and add the corresponding correct values...

Q: b) Determine the gradient of each side of the triangle c) Using your answers in a) and b), justify t...

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Q: i. Find the limit of the following. 4n -2n + 4n 2n +7 n+4 n – 5n+6 a) lim n - 2n 5n -3n b) lim -16 c...

A: We have to find the limit of   e) limn→0nensin n f) limn→32ln(4n-11)n2-9

Q: 3. Here is a triangular prism. 4 cm 5 cm 5 cm 10 cm 6 cm + a. What is the volume? The volume is got ...

A: a. Volume of the given figure shall be: V=Area of triangle×length First we shall find the area of th...

Q: . Solve y – 2px = tan (xp). -1

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Q: S t 52) dz = 6 5 6 5 6Vz - Vz O A

A: Given integral is ∫2z23 - 3z3 + 5zdz

Q: Perform the elementary row operation R4 – 2R3 → R4 to matrix C to obtain matrix D. -1 0 0 01 -2 1 2 ...

A: To perform row operation R4-2R3→R4 to the given matrix: 1-10002-21240101000215

Q: Find one positive root of f (x) = e" – 2x 5 using the Fixed-Point Iteration Method with an initial e...

A: NOTE: According to guideline answer of first question can be given, for other please ask in a differ...

Q: a. Detérmine how to find the points of intersection. B b. If the two circles are tangent to each oth...

A: This is a question of application od derivative and geometry.

Q: 3. Given an equation of a circle, determine how to find a point on the circle. Determine how to find...

A: Suppose (x-a)2 +(y-b)2 =r2  be an equation of circle with centre at (a,b) and radius is r. Two ways:...

Q: Solve y (xy + 2x?y) dx +x (xy-xy?) dy = 0.

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Q: x² iy? Find points where f'(z) exist x+y Given f(z) %3D x+y

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Q: Let a, b, c e R with a < b < c. Suppose that f is uniformly continuous on [a, b] as well as on [b, c...

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Q: Prove that the nonzero row vectors of a matrix in row-echelon form are linearly independent. Let = A...

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Q: A quiz consists of 8 multiple choice questions, each with 4 options.  In how many ways can a student...

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Q: 2 DO NOT USE A CALCULATOR IN THIS QUESTION. Find the positive solution of the equation (5+4/7)x² +(4...

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Q: 6. A population of fish is living in an environment with limited resources. This environment can onl...

A: Given is differential equation in P (a) In this part by just looking at the differential equation we...

Q: Use the field norm to show: a) 1+ 2 is a unit in Z [ 2]

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Q: Define subspace and Verify whether is subspace or not: v = {(x,y,z):x,y,ze R' and x-2y+3z = 5}

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Q: fx (partial derivatives)

A: We can solve this problem by using complete derivative .

Q: Prove that f is an identity function of itself.

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Q: -2 -5 8 -17] -5 1 1. Consider A = 1 3 11 -19 7 1 1 7 -13 5 -3 a. Find the basis for, and the dimensi...

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Q: dy Use implicit differentiation (as presented in class) to evaluate at dx the point (3, 2) on the cu...

A: We have to evaluate dydx at the point 3, 2 on the curve x2+3xy-6y=15. We have to use the implicit di...

Q: 8. Solve the differential equation (x+y) = a². dx dy Solve the differential equation tan (y- x)= 1. ...

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