5 Find a parametrization for the line segment joining the points (0, 2) and (4,0) using the angle in the figure below as the parameter. 2 y 4 X

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A: To find out the vertical asymptote, vertical asymptotes and also make the graph.

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A: Given Series,∑n = 1∞1 + sin2 n10n

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Q: This answer is w

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A: Taylor series ;             In the more compact sigma notation, this can be written as…

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A: Given     an = 2an-1 + 6    and a1 = 2 We need to find a1, a2, a3, a4, a5

Q: 3. Let S be the surface defined by the vector function (2e" sin v, 2e" cos v, u²+u), Find an…

A: We are given in our question a surface S defined by vector function R(u, v) = <2eusinv, 2eu cosv,…

Q: (c) f(x) > 0 The solution set is (-2, 0) U (4, 00) (d) f(x) ≥ 0 The solution set is 10.01 (0,0)…

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A: Solved below.

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A: Above question is solved.

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Q: Given the functions f(x)= x^2 -2x+1 and g(x) =5x-4 determine:       (a) g(4) -g(3).   (b) f{g(2)}

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A: We need to fill in the blanks.

Q: 7. Evaluate x²+2 + (x − 1)(x − 4)(x+2) - -dx.

A: ∫1ax+b dx =1alnax+b+C.

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A: The solution is given below

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A: This question can be solved using the concept of graph of functions. We need to find solution set…

Q: 52+45 lim x 9 x² + 13x + 36

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Q: 6. Find the value of -1 I 1 = [ ²₁ [2²=2² (2² + 1²³) dy d²x + + [ ₁ [²*² (2³² + y²³) dy dz I by…

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Q: ∞ A function is a probability density function if it satisfies the following definition: 1: f(t)dt =…

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Q: Solve the initial-value problem for x as a function of t . (2t³ − 2t² + t − 1) 12, x(2) = 0 dx dt =

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Q: Graph the function. Plot all necessary asymptotes. Plot at least 4 points. For vertical asymptotes,…

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Q: O t-sin(t)

A: the answer is t-sin(t)  provided the solution below with steps in step2

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A: Given   In △XYZm∠Y=34°,18'm∠Z=94°,48'and z=961 m

Q: MY NOTES ASK YOUR TEACHER Consider the equation below. (If an answer does not exist, enter DNE.)…

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Q: f(x) Suppose that f(x) and g(x) are differentiable functions such that f(7) = 2, f'(7) = 6, g(7) =…

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Q: Find the general solution of the differential equation. y (4) + 4y" + 4y = 0. NOTE: Use C₁, C2, C3,…

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Q: #2 du = Ixlux dx 3 13 x 3 dx dv=lnx dx V= x/nx-x Distribute clnx-x). = (1+x) (x I^x-x) -…

A: Using Integration By-parts formula

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Q: Determine the length of the parametric curve given x = 6 sint, y = 6 cost, ㅠ 0 ≤ t ≤=.

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Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A: We have to find the slope of the tangent line to the polar curve  r = cosθ3 at the point θ=π.

Q: w = xy cos z, x = t₁ y = t5, z = arccos t (a) Find dw/dt by using the appropriate Chain Rule. dw =…

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Q: Find the general solution of the differential equation y(4) - 4y" = t² +e².

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Q: Find the general solution of the differential equation. y(5) — 11y(4) + 29y"″ − 11y" + 28y' = 0.…

A: Let's solve given diffrential equation.

Q: Solve 8 sin (7x) = 7 for the four smallest positive solutions

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Q: Use the graph below to determine the values of x at which the function is not continuous. -10 x = 4²…

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Q: Use the comparison theorem with f(x) = = 1 √x to show that [₂²= 1 √x-1 is divergent.

A: See this solution in below

Q: - Simplify: sin(x)tan(x)=1- 1-cos²(x) cos (x)

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