62. Find the equation of the tangent line to the graph of the function at the given point. 1(0) = { ecos30, (2, 3)

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Q: 6 a. Prove that if z = (ax + by)², then x² + y²y = 2z

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Q: 1. Find the derivative. Simplify as needed. (a) f(x) = sin(x) (b) g(x) = sin (e) (c) h (t) = et…

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Q: Problem 5. Let f(x)=x² sinx. What is the value of ƒ³ (0) ?

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A: To express the given parametric equations of a line by using bracket notation and also using  and…

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Q: Given the following piecewise function, evaluate f(4). Do not include "f(4) =" in your answer. [ 5x…

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Q: 59. On what interval is the curve 1² o ²² + 1 + 2 dr y = S₁² ₁ concave downward?

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Q: = b.F(K, L) = (Kª + Lª)¹/a → KFk+ LFL : c.g(t, w) = 3t+wt² Əw ət ² g = d.g(t₁, t2, t3) = (t + t² +…

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Q: 1) True or false: If f has minimuh at x=c, then f'(c) = 0 a local maximum or

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Q: Problem 1. Part (a) Compute the derivative. h(x) = ln In(x) 4x³

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Q: Convert the point (x, y, z) = (-3, 3, 5) to spherical coordinates. Give answers as positive values,…

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Q: Use the following function and its graph to answer parts (a) through (d) below. Let f(x) = 5-x, x 3.…

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Q: Consider the series ∞ an+1 an n=1 (-1)+1 n Attempt the Ratio Test to determine whether the series…

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Q: Use the following function and its graph to answer parts (a) through (d) below. Let f(x) = 5-x, x3.…

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Q: Evaluate Given Limits a. Lim (6h+h²+3) →>0 b. Limo 4h+h² 4 c. Lim (1+2h+h² +2+2h) d. Limo 2xh+h²-2h…

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Q: Write a in the form a = a₁ T+aN without finding T and N. r(t) = (3 + 7t)i + (t-6)j - 2tk a= T+ N

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Q: Determine the derivative for y ду = ?х ду ?х ду ?х ду ?х 5 cos (2x-4) = = 5 sin (2x - 4) = 10 cos…

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Q: by completing the following: (a) Partition the interval [a, b] into n subintervals of equal width Az…

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Q: Suppose there is a rectangle with length L and width W (W ≤ L) (in feet) that has perimeter 64 feet.…

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Q: A triangular plot of land has sides of lengths 320 feet, 250 feet, and 80 feet. Approximate the…

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