27. f(x, y) = 3x² – 2xy + y² − 8y -

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Q: a) A Particle is moving along a hyperbol sec XY = 18 As it reaches the point (6,3), the Y-…

A: As these are two different questions, I've solved the first one here. Kindly repost the b question…

Q: 20 14 ·b [." 1(2) dz - " 1(2) de - [* 1(2). f(x) dx f(x) dx f(x) dx a

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Q: Find the radius of convergence of the power series. ខ n° \x{n+ 1\n 2) ក (x - )^

A: ∑n=0∞n(n+1)(n+2)8n(x-π)n

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A: As per guidelines we support only first question in one request.

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Q: → T4. If a = 5, 4, 3 and b = are orthogonal (perpendicular) Ok=3 Ok=-1 Ok = 2²2 Ok=7 -2, 3, k find k…

A: If two vectors are orthogonal then their dot product is 0

Q: 3. Evaluate the following limits. e²-1) (a) lim 2–0+ \sin z

A: solve first question  as per our company guidelines. please re post other question as next question.…

Q: Let f (u, v) = (tan(u − 1) – eº, 8u² − 7v²) and g (x, y) = (e⁹(x−y), 9 (x − y)) . Calculate f • g.…

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Q: 6 Suppose s f(x) dx = 18 and f f(x) dx = 14 2 O 2 Find S ²fQ) dx

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Q: Determine f'(x) if f(x) = tan³ (x4) O f'(x) = 12x³ tan² (2¹) O f'(x) = 122³ tan² (24) sec² (x¹)…

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Q: 9. Find all the vertical and horizontal asymptotes for the following function and indi- cate the…

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Q: 6. We are given 3 vectors: a =, b=, and =: Which pair(s) of vectors are parallel? a. b. Which…

A: a→=6,8,-2 ,b→=4,-2,4,c→=-3,-4,1

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Q: Given vectors u = (2,-4) and v = (-3,-1), find the sum u + v and write the result in component form.

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Q: T5. If a = between the two vectors O 90° 00° (5, -3, 2) and b 60° O 180° = -5, 3, 2 find the angle

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Q: 7) Let u = (2, -4, 1) and = (-4, 3, 5). Find 0, the angle between u and 7.

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Q: 3. Evaluate the following limits. 1 2+0+ sin a (a) lim et (b) lim (1+sinh2.r)cotha z→+0+

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Q: Given that 7 ≤ f(x) ≤ 8 for 4 ≤ x ≤ 8, estimate the value of 8 O≤ff < f(x) dx ≤ 8 f(x) dx

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Q: 1 Find the arc lengths of the curve y = ln (1-x²) on the interval 0≤x≤. Round your answer to 4…

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Q: 1. Find the general anti-derivative of each of the following functions. (a) f(x) = 3x² - 4x + π (b)…

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Q: 10. Find the linear approximation of the function g(x) = √√/1 + x at a = 0 and use it to approximate…

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Q: Find area of the region under the curve y = 4x³ - 8 and above the x-axis, for 4 ≤ x ≤7. area =

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Q: 100 5 1 Find the Sum

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