The Taylor series of x5 - 3x2 + x – 7 at x = 1 is: -7+ 5(x – 1) + 17(x – 1) +20(x – 1)* + 10(x – 1)* + 2(x – 1) -11- 6(x – 1) + 4(x - 1)2 +10(x – 1)3 + 5(x - 1)* + (x – 1)5 the above the above -8 + 7(x – 1) + 10(x – 1) +5(x – 1)* + (x – 1)5 None of the other options the above the above

Q: 1) (a) Determine the simplest form of the expansion of (2x4 - 1) 4. 4x (b) Determine the coefficient…

A: Consider,(1) (a) Given,(2x4−4x1​)4use the binomial theorem formula to simplify the given…

Q: Find a Taylor polynomial of 3rd degree centered at a=1 for the fuction f(x) = = 01- (x-1) + 2(x -…

A: Solution- The formula of Taylor polynomial is,here n=3 ( because we are calculating for 3rd the…

Q: Find the Taylor polynomial of order 3 generated by fat a. f(x)= In (x + 1), a=5 O A. P3(x) = In 4 –…

A: To find the Taylor polynomial for given function.

Q: the expansion of omial theorem to determine the value of the consta 3 < (22²7³. 23 2 (2-3r³y) x…

A: Given expansion is 2-3x8y×2x2y3+3x3-2y219…

Q: Зх —1 A B (b) (i) Express (1– x)(2 - 3x) in the form - x 2-3x , where A and B are integers. Зх— 1…

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Q: [a + 9   5z+1   9m]       [10a    9z    6m]        [20     -55    135]…

A: Given that: a+95z+19m9k35+10a9z6m8k35=20−5513568610 To find the value of a, z, m, and k.

Q: P(x) = 5 x + 13 x5 − 7 x6 − 2 x2     If P is written in descending order, what would be the final…

A: given polynomial is                                               P(x)=5x+13x5-7x6-2x2 P is written…

Q: Find the equations of the asymptotes of R.

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Q: 1. 2. 3. If the first five terms of the Taylor expansion for f(x) about x = 0 are 5 3 3-7x+ x² +…

A: The given problem is to find the value of f'''(0) and first three terms of taylor series expansion…

Q: What is the rule for this pattern? (figure 1 is 1 block) Of(x)=n+2 Of(x) = 2n Of(x)=n-1 Of(x) = 2n-1

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Q: 3. Determine the 4th term of (3x+ 2y3 6 using The Binomial Theorem.

A: We will find the 4th term

Q: A baseball is "popped" straight up by a batter. The height of the ball above the ground is given by…

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Q: Find the Taylor polynomial of order 3 generated by f at a. f(x) = x? + x + 1, a = 5 O P3(x) = 1 +…

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Q: Find the Taylor polynomial of order 3 generated by fat a. f(x) = ln x, a = 6 O P3(x) = In 6 +X-6…

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Q: (b) Show that factorial polynomial corresponding to P,- k³ – 4k* + 2k³ – k² + k + 10 is P, = k(5) +…

A: Given: The given polynomials is Pk=k5-4k4+2k3-k2+k+10, To prove Pk=k5+11k4-k3-9k2-k1+10

Q: Compute the constant term in the expansion of (2x³ + ½)¹².

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Q: A non-right triangle has the following three sides: b = 40.1, c = possible. 45.5, and a = 66.8. Find…

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Q: What expression would be best used for the partial fraction expansion of the following: x² +5…

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Q: 5x2 + 13x -dp x³ + 2x² – x – 2 Evaluate: (x + 1)ª(x – 1)³' + C (x+2)² (B None of the choices given…

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Q: the third Taylor polynomial for f(x) = expanded abc= 3(x)=7-7(x-1)-14(x-1)²-7(x-1)³…

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Q: 1. The coefficient of x³y³ in the expansion of (2x + 2y)¹⁰ is 10 2. The constant term in the…

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Q: (c) Find the term independent of x in the expansion of, 15 2 +

A: