Mathematics, 05.03.2020 09:46 patrickdolano
A) Show that a differentiable function f decreases most rapidly at x in the direction opposite the gradient vector, that is, in the direction of −∇f(x). Let θ be the angle between ∇f(x) and unit vector u. Then Du f = |∇f|cos θ Correct: Your answer is correct. . Since the minimum value of Correct: Your answer is correct. is -1 Correct: Your answer is correct. occurring, for 0 ≤ θ < 2π, when θ = Incorrect: Your answer is incorrect. , the minimum value of Du f is −|∇f|, occurring when the direction of u is the direction of ∇f (assuming ∇f is not zero). (b) Use the result of part (a) to find the direction in which the function f(x, y) = x3y − x2y3 decreases fastest at the point (3, −3).
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Mathematics, 21.06.2019 16:30
The average human heart beats 1.15 \cdot 10^51.15⋅10 5 1, point, 15, dot, 10, start superscript, 5, end superscript times per day. there are 3.65 \cdot 10^23.65⋅10 2 3, point, 65, dot, 10, start superscript, 2, end superscript days in one year.how many times does the heart beat in one year? write your answer in scientific notation, and round to one decimal place.
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Mathematics, 21.06.2019 18:00
Solve 2^x=32 and rewrite this equation in a logarithmic form
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Mathematics, 21.06.2019 18:30
What can each term of the equation be multiplied by to eliminate the fractions before solving? x – + 2x = + x 2 6 10 12
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A) Show that a differentiable function f decreases most rapidly at x in the direction opposite the g...
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