(a) Given 2 < 1, expend (1+ z) by using Newton's Binomial Theorem. (b) Approximate 91/3 by using the first three terms of the expansion of (a), namely, terms with k = 0, 1, 2.

Q: (x/3y+3y/x)^8 expand using binomial theorem

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Q: (1 – #)* QI/ A/ Expand with binomial formula:

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Q: Expand with help of Binomial Theorem (- +)

A: Using the Binomial theorem, the binomial expansion formula for (a+b)n is given by the formula,…

Q: (b) Find the value of the constant a such that 8750x4 is a term in the Binomial expansion of (a +…

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Q: Use the binomial theorem to expand the following: (a) (x + 2y)* (c) (3x + 1)4 (b) (x - y)6 (d) (x +…

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Q: Use four terms of Newton's binomial expansion to approximate 11.

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Q: Find the binomial expansion of (1+0.05)1/2 Show each step

A: The binomial expansion is given below_

Q: Find an equation for the ellipse. Graph the equation. center at (0,0); focus at (0,12); vertex at…

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Q: Find the coefficient of the term containing x' in the expansion of (2x-y)°.

A: Binomial theorem

Q: f(x+h)-f(x) 5) Simplify the difference quotient for f(x) = x+ using the Binomial Theorem. h Show…

A: Quotient using binomial expansion

Q: Prove the following using the binomial theorem: ()=()+ 2n

A: In this context, the aim is to prove 2n2=2n2+n2.

Q: The integral gives the area of the region in the xy-plane. Sketch the region, label each bounding…

A: The integral gives the area of the region in the xy-plane. Sketch the region, label each bounding…

Q: (a) Find the binomial expansion of (1+ x³)$/² up to and including the x term.

A: Given term is 1+x352

Q: Use the binomial theorem to expand the expression (u - 5v)¹

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Q: Find the value of the constant term in the binomial expansion (5x –) . 3 12 (A) (2) 56 36 (B) O 5°…

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Q: b) List down the first four terms in the expansion of (1 2x) -2 in ascending power of x. Hence, by…

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Q: Use the Product Rule to find a formula for (fg) ,,, and compare your result with the expansion of (a…

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Q: obtain the binomial expansion of (1-2x)^5 and use it to evaluate(0.98)^5 correct to 5d.p

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Q: Use the Binomial Theorem to find the coefficient of x' in the expansion of (x+3)" ...-.

A: on using binomial theorem we get the coefficient of x^7 that is

Q: a) y tan-¹x b) y = -x Find the MACLAURIN EXPANSION of the 2 functions above. (Use at least 5 terms)

A: Maclaurin series of f is given by, ∑k=0∞fk(0)k!xk =f(0) +f'(0)x + f''(0)2!x2 + . . . + fn(0)n!xn + .…

Q: To evaluate the exact value of f(x) = x(8x49 - x)(x30 - 3) , what order of the Taylor series…

A: f(x) = x(8x49 - x) (x30 - 3)

Q: Determine the coefficient of the x'y term in the expansion of (2a + 3y) 2.

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Q: Question 1: 1+x 2 Binomial expansion of √1-2x to the x² ter 18 30 = 100 ✓ 0.01, approximate for √2.

A: f(x)=1+x1-2x     =1+x1-2x-12     =(1+x)1--122x+-12-12-12!(2x)2+.......     =(1+x)1+x+32x2+.......…

Q: (1-x) (1+x) Find the coefficient of x" in the expansion of

A: In this problem, we have to use the expansion of (1+x)-2 and multiply the brackets to obtain the…

Q: In two or more complete sentences, explain how to find the third term of the expansion of (2x+y)4.

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Q: Use the Binomial Theorem to expand the expression (3x + 2y). Show your work.

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