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KHALED BADAWE

KHALED B.

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Q6

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Q5

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Q3

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Q1

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Question 3 If f(x) = sin²x + cosx. Find the critical numbers of f that are in the interval [0, 2?] a. critical numbers are 0, ?, -?/3, -5?/3 b. critical numbers are 0, -?, -?/3, -5?/3 c. critical numbers are 0, -?, -?/3, 5?/3 d. critical numbers are 0, ?, ?/3, 5?/3

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Question 8 Find the intervals on which f(x) = 3x^2 - 3x + 7 is increasing or is decreasing. a. Increasing on [1/2, infinity) and decreasing on (-infinity, -1/2] b. Increasing on [-1/2, infinity) and decreasing on (-infinity, -1/2] c. Increasing on [-1/2, infinity) and decreasing on (-infinity, 1/2] d. Increasing on [1/2, infinity) and decreasing on (-infinity, 1/2]

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Find the derivative of f(x) = log_4|8x - 4|

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Question 6 If f(x) = x² - 4x, find the maximum and minimum values of f on the closed interval [-3, 4] a. f(x) is Maximum at x = 2 and Maximum Value is -4 f(x) is Minimum at x = -3 and Minimum Value is 21 b. f(x) is Maximum at x = 4 and Maximum Value is 0 f(x) is Minimum at x = 2 and Minimum Value is -4 c. f(x) is Maximum at x = -3 and Maximum Value is 21 f(x) is Minimum at x = 4 and Minimum Value is 0 d. f(x) is Maximum at x = -3 and Maximum Value is 21 f(x) is Minimum at x = 2 and Minimum Value is -4

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Question 5 Use logarithmic differentiation to find dy/dx for the given equation. y = x^{sinx} y = x^{sinx} y = lnx dy/dx = lnx + sinx dy/dx = (cosx lnx + sinx / x)

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Question 4 The count model is an empirically based formula that can be used to predict the height of a preschooler. If h(x) denotes the height in centimeters at age x in years for 1/2 ? x ? 6 The h(x) can be approximated by h(x)=70.228+5.104x+9.222lnx. What is the Rate of growth on the child's 3 birthday? Note : 3 is the birthday of the child.

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