Calculate the integral of the following using the four point Gaussian quadrature and the three Newton-Cotes formulae. use a most four points for the Newton-Cotes formula. x2+5 from 1 ≤ x ≤ 3

Q: Question #3 3. a matrix and a scalar A are given. Show that A is an eigenvalue of the matrix and…

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Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ () < 0, f(x) has a root in [0]. If we use…

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Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ(0)ƒ () < 0. f(x) has a root in [0, 1]. To solve…

A: Fixed point iteration method: To find a root of the equation f(x)=0, rewrite it as x=g(x) such that…

Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (₹) < 0, ƒ (x) has a root in [o,]. If we…

A: In secant method the next approximation root may or may not lies in the previous two roots

Q: 2. Greg is standing at the back of a train that is 270 m long. He sees a water tower ahead to the…

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Q: Your answer is Blank 1. Blank 1 Add your answer Suppose an = 5. What is the value of lim an? 12-0 :

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Q: Verde Camacho Sanctuary is located north of the municipality of Mazatlán, Sinaloa, Mexico; It has an…

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Q: The fixed-points of f(x) = (x² + 2) are_ and

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Q: VII. Given a region R enclosed by the curves y = 1 + sin (F). 4 as shown below. (2,4) (2, 2) (-2,0)…

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Q: y" +4y= F(t) = -> (1) 23 (1 if 05451 F(t) = 0 if f1 OUT -> (2)

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Q: (Table 12.1) Randy and Todd are playing a simultaneous game. Todd Left Right Randy Top $27, $40 $35,…

A: We have to find Randy`s dominant strategy and Todd`s dominant strategy.

Q: VI. Determine the instantaneous rate of change of the function f(x) == lo √√x sin (77³) dt 1 + √t x3…

A: the instantaneous rate of change of the function can be found out by differentiating f(x) w.r.t t…

Q: VII. Given a region R enclosed by the curves y = 1 + sin (7), 4 as shown below. (2,4) (2, 2) (-2,0)…

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Q: The number 3.141529 estimates 3.141516 to Blank 1 significant digits.

A: this question from numerical analysis

Q: Consider the function f(x) = cos x - 3x + 1. Since f (0)ƒ () <0, f(x) has a root in [0]. To solve…

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Q: Consider the region R below bounded by the curves C₁ x - 4y = 4, C₂ : y =√x - 1, and C: x + 2y = 4.…

A: The region need to devides into parts for limit of integration.

Q: VI. Determine the instantaneous rate of change of the function sin (2²) f(x) = 10 dt [V² x3 1 + √t…

A: In order to solve this question you need to know the following notions  (1)    Instantaneous rate of…

Q: III. Consider the region R below bounded by the curves C₁ : x – 4y = 4, C₂ : y = √x – 1, and C3 : x…

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Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ () < 0. f(x) has a root in - [0,1]. If we…

A: We are given f(x)=cos(x)-3x+1 and x0=0.5 Newton-Raphson method xn+1=xn-f(xn)f'(xn) now…

Q: 3. Explain how you can prove that L₁: x+7 8 represent the same line. DO NOT SOLVE. =+1=25 and L₂:…

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Q: VII. Given a region R enclosed by the curves y = 1 + sin (F), 4 as shown below. (2,4) (2, 2) (-2,0)…

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Q: The fixed-points of f(x) = (x² + 2) are_ and

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Q: Let f(x) = 2 sin x 1. Use the local linear approximation of ƒ at x = 0 to approximate e²2 sin(0.01)…

A: The local linear approximation of f at a point x=x0 is given by the formula…

Q: Given a region R enclosed by the curves y = 1 + sin (77), as shown below. y = 4 - (x - 2)² 4 and x =…

A: Arc length calculation.

Q: Question 5 Use variation of parameters to solve the differential equation x²y" + y = x. [Leave ₁ and…

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Q: . Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (²) < 0, ƒ (x) has a root in [0]. To…

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Q: a) b) c) d) 6s³ + 14s² + 126 s4 +9s² 10s² +63 s³ +9s 7 + - 1 % / ° s3 14 83 3 s² +9 6 s² +9

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Q: I.* Determine all the isolated singularities of each of the following functions and compute the…

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Q: 2. lim (x - Inx)* x →0+

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Q: 8.2x+3y=6 x=y= −| 2

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Q: Consider the function f(x) = cos x - 3x + 1. Since f (0)f() <0, f(x) has a root in [0, 1]. If we use…

A: The given function is                    f(x)=cos x-3x+1 It is known that f(x) has a root in 0, π2.…

Q: The smaller fixed-point is Blank 1. Blank 1 Add your answer The fixed-points of f(x) = (x² + 2) are…

A: The fixed points of a given function f are the solutions of f(x) = x.

Q: Solve the equation!. 0 Y'(t) = −Y(t) + sin(t) + cos(t) Y(t) = sin(t) + ce-t. Y'(t) = [Y(t) - Y(t)²]…

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Q: The sequence {x}=0, where xn 20" is convergent.

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Q: Consider the region R below bounded by the curves C₁ x - 4y = 4, C₂ : y =√x - 1, and C: x + 2y = 4.…

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Q: Question 3 (A) True B) False If f(x) is continuous, ƒ(−1) = 2, and ƒ(2) = −1, then f(x) has a root…

A: Fixed point iteration method : Let  an equation f(x) = 0, for which we have to find the solution.…

Q: Prove or disprove any four of the following 2. Any field is a division ring.

A: Let F is a field, then we have to prove that F is division ring.

Q: 5. If Evaluate the following. (a) F' (9) (b) F (0), by interpreting F (0) as an area F(x) = √25-t²…

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Q: II. Evaluate the following integrals 3 4. ª \'²- - e\ + (e² + e) dx S x e 0 2

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Q: Determine the truth value of the following statement. True or false the truth of the statement…

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Q: I. Determine the instantaneous rate of change of the function f(x) = [V² = sin (23) dt 1+√t x3

A: In this question, the concept of the derivative is applied. Derivative A derivative can be used to…

Q: Every function has a fixed point (A) True B) False

A: Solution :  False  Options (B) is correct

Q: Consider the function f(x) ) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0, f(x) has a root in [o,]. If we…

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Q: IV. A small business determined that the price-demand and cost functions for producing and selling x…

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Q: The fixed-points of f(x) = (x² + 2); are and

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Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒf () < 0. f(x) has a root in [0]. If we use…

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Q: Suppose 3.141516 is estimated using 3.141529. The absolute error is (Answer must be in 6 decimal…

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Q: IV. A small business determined that the price-demand and cost functions for producing and selling x…

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Q: 6. Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A: As per the policy we are allowed to answer only one question at a time. So, I am answering the first…

Q: 5. If Evaluate the following. (a) F' (9) (b) F (0), by interpreting F (0) as an area F(x) = √25-t²…

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