3. Find the binomial series for (1+x)

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Q: v F= F=

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Q: 2. Find the desivative ofy= Binx

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Q: the comverg ence and divergene test 2n

A: To find the convergence of the series.

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Q: -2

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A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

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A: Area of a bounded region by curves is given by ∬dydx.

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A: Solving

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A: This is a problem related to function calculation. Based on the general formula and concept we will…

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A: A complete solution is given below.

Q: If S; (x²-1)(2x-x*) dx can be resolved into A S+ B S f(x)dx + D S g(x)dx , then x²+x-2 lim, ° dx +…

A: Partial fractions: The fractions needed to decompose a rational equation are called partial…

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Q: 6. Given f(x,y) = x² – 2xy² – 4xy + 5. Find all the critical points of f and determine the nature of…

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Q: F. Change the Cartesian integral to polar coordinate 11-y !! (x² +y*)dx dy

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Q: Find the exact value of each of the following trigonometric functions of 0. 12 90° <0<180° 13 sin 0…

A: Given:-sinθ=1213,        90°&lt;θ&lt;180°

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A: Similar triangles: Similar triangles are triangles with the same shape but different sizes. Similar…

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A: We will solve the integration.

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Q: The area of the region is. (Type an exact answer, using x as needed.)

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Q: d d Calculate r1(t) · r2(t)] and dt ri(t) × r2(t)] first by differentiating dt the product directly…

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Q: Evaluate the limit V5 + 7x² lim 5 + 4x I+ 00

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Q: Consider the following. y = e−x2   Find ) y ' =   Find the slope m of the tangent line to the graph…

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Q: 8) Fiad the volume of the solid gonereted by revelving the regien beunded by tue graphs of equetians…

A: Given problem:- Find the volume of the solid generated by revolving the region bounded by the graphs…

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A: Use the substitution and then simplify the limit.

Q: Evaluate the following limit using Taylor series. 7 7 tan -(x) – 7x + lim 4x° 7 7 tan "(х) - 7x +-…

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Q: (D2 – 1)y = 2e-*(1+e-2*)-2, %3D

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Q: Consider the following. h(x) = ex2 − 4   Find  h '(x)=   Solve  h '(x) = 0 for x. x=   Find  h(0)=…

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Q: dx (2x2+1)2

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Q: Determine if the following series converge: 2.4.6 . · (2n) ... (a) (b) ) Inn 3.6 - 9 · · · (3n) ...…

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Q: Find the direction angle of v for the following Vel v = - 6i- 3j What is the direction angle of v?

A: On solving this we will get

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A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: Use the Ratio Test to determine the convergence or divergence of the series. If th use co or -co,…

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Q: 1. sin 0 =

A: answer is in next step

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A: Here we have to find the truth table.

Q: Find y=f(x), if f''(x)=3x^2, f'(0)=-7 and f(0)=2.

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Q: Show that the function f defined by (x, y) = (1, – 1) f(x, y) = 1² + y (x, y) # (1, –1) I + Y is not…

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