4. Write an equation for line l if line I passes through points (3,3) and (4,-1)

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A:

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A: A=20 degreeB=10 degreea=2

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A:

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A: r(s,t)=

Q: 11. Find the first four terms of the Maclaurin series for the function: f(x) == 1-x

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Q: Find the points on the curve x = t² - 4t+7, y = t² + 18t – 8 that have: A. a horizontal tangent line…

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Q: Consider the parametric equations below. x = t2 − 2,    y = t + 3,    −3 ≤ t ≤ 3   Eliminate the…

A: Given,

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A: The rth term of the expansion The given expression

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Q: Find the area of the region described. The region bounded by y = 4x³ and y = 100x

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A: {−12,163,−814,2565,−6256,…}

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Q: FIND PARTIAL DERIVATIVES: + (x, y) = x² - y² + 4xY. FIND ER Fx' Fxx' Fy¹ Fyy' Fxy'

A: The Sum/Difference Rule:The Power Rule:The Constant Multiple Rule

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Q: Let f be the function defined by f (x) for x > 0. Which of the following is a horizontal asymptote…

A: The given function  for .The aim is to find the horizontal asymptote of the function.

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A: Given graph of y=f'(x)

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A: To find the following integral.

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Q: 5. Consider y = x3/2+2. (a) Graph this function labeling A(1,3) and B(4,10). (b) Write an integral…

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Q: b. 8=4 4. Convert the equation in rectangular coordinates to polar coordinates. x² + (y − 1)² = 1 a.…

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Q: Establish the identity. 2 sec 0 csc 0 + 3 sin 0 cos 0 5 tan 0 Write the left side of the identity in…

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Q: Find all horizontal asymptotes of the following function. f(x) = = 2x(x + 5) (2x − 1)(x + 1)

A: To find all horizontal asymptotes of the following function.

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Q: Is the series convergent or divergent? If convergent, is it absolutely convergent? M8 n=1 (−1)n √n

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Q: The function f is one-to-one. Find its inverse 8 f(x) = 6 x 6 X-6

A: f(x)=8x−6,x≠6