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

Q: Find the local maximum of f(x) = -sin2x – x defined on 2'2

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Q: How many iterations are needed to solve f (x) = x3 + 4x - 10 with accuracy 103 using BISECTION…

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Q: branch of z1/5 that is not continuous and positive on the imaginary axis?

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Q: Solve for x x/12.4=4ft 6in/6ft 3 in

A: 1 ft=12 inch 4 ft 6 inches =4(12)+6=54 inches 6 ft 3 inches =6(12)+3=75 inches

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Q: How many iterations (n )necessary to solve the f(x) = x-4x² 9 = 0 in [5, 6], using Bisection-method…

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Q: Find (f - g)(x) if f(2) = 7x³ – 52² + 42x – 30 and g(z) = 7 O (f · g)(x) = 49zª + 269x² + 150 O (f·…

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Q: Find local maximum or local minimum of f(x)= -sin 2x -x defined on 22

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Q: Verify the power rule for integration n+1

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Q: d of undetermined coefficients/annihilators, but can be

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Q: Use finite approximations to estimate the under the graph of the function f(x) = 4 – x² between x =…

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Q: tion, what is the longest time within whic at the predator will have to spend more t

A: It is found that the time (in minutes) required by predator to find a prey is a random variable that…

Q: Use Mean value theorem to show that (1+ x)' 2 (1+2x).x21.

A: Mean value theorem: Let f be a continuous function on the closed interval a, b and differentiable on…

Q: Find a real root of 4*exp(-x/2)-3*ln(x)-3 = 0 using False Position method with a=0.1 and b=2.0…

A: f(x)= 4*exp(-x/2)-3*ln(x)-3

Q: Note that lim (1 - 7x)1/x is indeterminate of type 1°. Using logarithms, we have In(1 – 7x). As x-…

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Q: find critical numbers for f(x)=x4-4x2

A: Obtain the derivative of the function as follows.

Q: Find f(-3). -2 -4 www.analyzemath.com 1 O 2 Оз -1

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Q: Find the root between [-1,0] where \( f(x)=(x+2)^3+2x-5 \) with error \( \epsilon=0.1\) by using…

A: given equation is fx=x+23+2x-5interval -1,0find the root of an equation by using false position…

Q: Find the value of xg in 3 decimal places (positive root) using Secant Method (8th Iteration) f(x) =…

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Q: у" - In x

A: Given: y''=lnx

Q: s discontinuous at a = -3, determine whether

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Q: . Determine the upper bound on the error in the approximation: x2sinx3 x. - if x|<0.8 6.

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Q: Differentiate the Maclaurin polynomial of degree 4 for f(x) = ex . Describe the relationship between…

A: Maclaurin polynomial of degree 4 is P4x=f0+f'0x+f''02!x2+f'''03!x3+f404!x4.

Q: Find the value of xg in 1 decimal places (positive value) using Secant Method (5th Iteration) f(x) =…

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Q: find an estimate of the root of the equation x3 + 2x – 4 = 0 using regula-falsi method. Perform…

A: Regula falsi method or False position method is one of the method used to find the approximate root…

Q: Show that f(x) =12(logx+1)+x² -10x+3 is a maximum when x=2, a minimum when x=3;

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Q: Show that x + is increasing on [1, 0).

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Q: [SADT] Use the Mean Value Theorem to establish the fact that, for х-1 X > 1, < Inx < x - 1. (DO NOT…

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Q: Suppose the graph of f(x) = x3is compressedvertically using a factor of 1/3and then shifted to…

A: Given : The parent function is f(x ) = x3 . The graph of f(x) = x3 is compressed vertically using a…

Q: Differentiate f(x) = 4log 3(x)- In (x)

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Q: 6. Obtain the TSE of f(x)=2x-² in powers of (x-1).

A: Solution is here

Q: 8 — х — x2 if x 4 -

A: f(4-) = 8 - 4 - 16 = -12 f(4+) = 2*4 - 20 = -12 f(4) = 8 - 20 = -12

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Q: 27. f(x) = In (1+x) %3D

A: The given function is f(X)=ln(1+x)

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Q: The first derivative of the power series 3x2 3x f(x) = 3 1! 3x3 3x4 325 %3D - 2! 3! 4! 5! • is

A: Formulae: 1. e-x = 1-x/1! +x2/2! - x3/3! +x4/4!- ....... 2. d/dx{ e-x} = - e-x   Answer: f'(x)= f(x)

Q: Verify mean value theorem for ƒ(x)=x' – 5x+6 over the interval [1,3].

A: Please refer to the image below

Q: 13,4) f(x.y) =In(x + x² +y² If Find x

A: f(x,y) = ln (x+x2+y2)∂f∂x=∂ ln (x+x2+y2)∂x=1 (x+x2+y2)×(1+12x2+y2)×2x

Q: How to solve this problem from webassign by deriving to find f'(x) f(x) = 4x^2 ln 4x

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Q: Find critical number of f(x) = 4x^2 + 8x -1

A: We have to find critical number of  f(x) = 4x2 + 8x - 1 To find critical number, differentiate f(x)…

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Q: Prove LHS is equal to RHS: 8-(4x-5)=x-7

A: Given:

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A: Solved below

Q: Show that cosh x> 1 + x² for all x.

A: comparison

Q: Show that cothx x+1 In X-1,

A: Solution

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.