The f x2 dx is 1-2х3 { A } In(1 – 2x³)!/6 + C { B}-In|1 – 2x³| + C {C} -In]1 – 2x³ + C {D} – In(1 – 2x³)+/6 + C

Q: Find the absolute maxima and minima of f(x) = (7cos(x))/(8+4sin(x)) in the interval 0 ≤ x ≤ 2pi.

A: To find the absolute maxima and minima of f(x) = (7cos(x))/(8+4sin(x)) in the interval 0 ≤ x ≤ 2pi.

Q: (a) Find the quadratic approximation P2 for f (x) = In x at x = 2 (b) Use above to approximate…

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Q: there

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Q: 5. What values should be assigned to coefficients a1, a2, and az, so that the quadrature formula…

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Q: If f = 5x²y² - af at (3,1) XY then find O 28 O 20 O None O29

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Q: For which n E N is the polynomial f(x) = x^(2n) + x^n + 1 divisible by g(x) = x^2 + x + 1?​

A: To find the value of n ∈ ℕ for which the polynomial f(x) = x2n + xn + 1 is divisible by g(x) = x2 +…

Q: Give an expression for f(x) of degree 3 with roots z = -4 and r = -2, where the root at r = -2 has…

A: Zeroes are x=-4 and x=-2and x=-2 has multiplicity 2

Q: Write a 4th degree Maclaurin polynomial for f(x) = e2x centered at x = 0. %3D

A:

Q: Form the interpolating polynomial of degree k that satisfies pG) (xo) = f(G) (xo) for 0<j< k.

A: To form: The interpolating polynomial of degree k that satisfies pjx0=fjx0 for 0≤j≤k

Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

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Q: 4 Lonsider the functlan fx)= -5x4- |l+x?tx-17. functfon Fex)= -5xH-|l+x²+2x-17. 5xH-113+ Whatis r n…

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Q: 4. Find the absolute maxima and minima for f(x) = 4x - 9x2- 12x-1 on the closed interval [0, 4].

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Q: Find k such that f(x) = x4 - kx3 + kx2 + 1 has the factor x + 2.

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Q: Let f(x) = x³ + x + 4 and g(x) = 3x + 2 in Zs[x]. Then, upon dividing %3D f(x) by g(x), we get None…

A: f(x)=x3+x+4 and g(x)=3x+2 in Z5[x].

Q: , Consider the interpolating polynomial for f(x) =x² based on th points (0,0). (1,1) and (2,8). Find…

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Q: Consider the following. Fx) = * f(x) 4 14 - 32x2 Find the critical numbers. (Enter your answers as a…

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Q: Q1/ Determine the highest real root of f(x) = 2x - 11.7x2 + 17.7x -5 using the Secant method with 5…

A: Given,

Q: 4. Consider f(x) = 2x² + 3 on the closed interval I = [0, 4].

A: I have Provided this answer in step-2. i have given an only one answer because as per our policy.

Q: consider the rational model p(t) = 0.86t2+3.5t + 365/ 0.014t2+ 0.092t + 5.77 where p(t) is the…

A: The given function is p(t)=0.86t2+3.5t+3650.014t2+0.092t+5.77. It is given that, p(t)=59.2%.…

Q: Suppose f:N→ N has the rule f(n) = 3n² – 1. (a) Determine whether f is surjection onto N and show…

A: a)   The given function is not surjective. Because there is no pre image n of 3 in the domain N such…

Q: Does f(x) = x - x - 5 have a real zero between 1 and 2? %3D

A: f(x)=x3-x-5 have a zero between 1 and 2.

Q: The fourth-degree polynomial f (x) = 230xt + 18x³ + 9x? – 221x - 9 has two real zeros, one in [-1,…

A: The given problem is to find the approximate roots using Newton's method in the given intervals…

Q: Q2 /| Find a cubic polynomial of x (5, 147). given points (0, 2), (1, 3), (2, 12),

A: Newton's divided differences interpolation

Q: What is the expansion of 1 f (x) = %3D Ο Σε' Σ 2n 2n Σ Next

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Q: Find the Taylor polynomial p1 (x) for f(x) = 8x2 at x = 5. %3D Provide your answer below: P,(x) = O

A: To find the taylor polynomial p1(x) .

Q: IB) Find the cnber of curvatee, eguation of the curde of cuuunfure f (x)> Jax of the gmph. of at x=…

A: Consider the given curve as, fx=2x at, x=4 Let y=fx=2x

Q: The fourth-degree polynomial f (x) = 230xt + 18x³ + 9x? – 221x – 9 has two real zeros, one in [-1,…

A: The given problem is to find the two real roots of the fourth degree polynomial at accuracy 10-6, we…

Q: 3. Use the Intermediate Value Theorem to show that f(a) = a2-3x +1 has at least one real zero…

A: According to intermediate value theorem, if f(x) is a continuous function whose domains contains the…

Q: @ f(x)= x²-3x-4 2 @ f(x) = x² - 4x +3 Show that whether f(x) reduceable Poly or not

A: The given problem is solved below in detail.

Q: ind the Wronskian of: 18x - 6 18x + 6 6x - 18 6x + 18 f₁ = x² - 6x f₂ = x² + 6x f3=x²-3

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Q: find the absolute maxima and minima of the func-tions on the given domains. ƒ(x, y) = x2 + y2 on the…

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Q: 4. Let f'(x) = 2ax³ + 3bx² - 6ax+b such that f(x) is concave up on the interval -1 <x< 1 and concava…

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Q: 12. The second-degree Maclaurin polynomial for f(x)=vx+9 is 3+ x² If this 6 108 polynomial is used…

A: The Maclaurin polynomial for f(x)=x+9is 3+x6-x2108 To approximate 8, substitute -1 for x in the…

Q: t is known that the polynomial p(x) = 2- (r+ 1) + x(x+ 1) – 2x(r + 1)(r – 1) interpolates the first…

A: Given:- p(x)=2-(x+1)+x(x+1)-2x(x+1)(x-)  interpolates the first four points of the table. x -1 0…

Q: 3) "s) Determine the highest real root of f(x) = 3x' +11,8x -17,8x-6 a) Graphically,

A: f(x)=3x3+11.8x2-17.8x-6from below graph, highest real root is x= 1.386

Q: find n∈ℕ is the polynomial f(x)=x2n +xn+1 divisible by g(x)=x2 +x+1?​

A: Given:            f(x)=x2n+xn+1             gx=x2+x+1

Q: (c) Show that : f(x) = x2 + x + 2 e Zg[x] %3D is irreducible. Further, find the order of f (2).

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Q: Find k such that F(x)=x^3-kx^2+kx+44 has the factor x-4

A: To find k such that F(x)=x3-kx2+kx+44 has the factor x-4.

Q: Find the linearization at x = a. f(x) = 3x², a = 1 (Use symbolic notation and fractions where…

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Q: Given f(x)= x³ – 6x + 2 = 0 in the interval [-4,4]. By using Intermediate Value Theorem, determine…

A: Given  fx=x3-6x+2 And x fx -4 -38 -3 -7 -2 6 -1 7 0 2 1 -3 2 -2 3 11 4 42

Q: Find the area, in square units, bounded above by f(x)=4x2+9x−24and below byg(x)=5x2+21x+3

A: Given: The area lies between the curves fx=4x2+9x-24 which is above and gx=5x2+21x+3 which is below.…

Q: 47. Find the sum of the values of a and b such that f(x) = 2ax² + bx + 3 has a relative extremum at…

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Q: 79 <x< 3 4 5 6 For the above quartic polynomial f(x) = concave up. x4 2 +1.5x³ + 30x², identify the…

A: Given: From the above graph, we can see that the function is concave up in interval…

Q: Find (f 1)(a) for f(7)=0, f'(1)=-1, and a=0. -л -1 1/л -1/n

A: topic - derivative of inverse function

Q: 2/3 of f(x) = (x²4)73. (b) Find all critical nurabers

A: There are multiple question. As per company policy kindly ask other question separately. b.

Q: Q3. Determine the first root of the function f (x) = -12 – 21x + 18x² – 2.75x³ by using initial…

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Q: 5. Find the absolute maxima or minima for f(x) = x² + 8x + 3 over the open interval (-o, 0).

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Q: What is thr horizontal asymptote of q. q(x)=4x raised to the 3rd + 2…

A: Given that                                      q(x)=4x13+27x13-3x we have to find horizontal…

Q: 3s Use the convolution theorem to find L-1{

A: