Mathematics, 11.01.2021 16:50 kimilew
(11) Let f(x) = x^3− 1 and g(x) = 2 + 5 sin 3x.
(a) What is the range of g(f(x))? Justify your answer.
(b) If h(x) = f(g(x)) compute h′(x).
(c) If t(x) = e^f(x) compute t′(x). [6 marks]
(d) Obtain f′(x) from first principles. [6 marks]
(e) Obtain the equation of the line tangent to the curve y = f(x) at x = 3.
Answers: 3
Mathematics, 21.06.2019 13:30, Packergood
34 cup. a serving of vegetable soup is 23 cup. the restaurant sold 20 servings of chicken noodle soup and 18 servings of vegetable soup. how many more cups of chicken noodle soup did they sell than cups of vegetable soup?
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Mathematics, 21.06.2019 21:30, gigi6653
Damon makes 20 cups of lemonade by mixing lemon juice and water. the ratio of lemon juice to water is shown in the tape diagram. lemon juice\text{lemon juice} lemon juice water\text{water} water how much lemon juice did damon use in the lemonade? cups
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Mathematics, 21.06.2019 23:20, puremousetail
6cm10 cma conical paper cup has dimensions as shown in the diagram. how much water can the cup hold when full?
Answers: 1
(11) Let f(x) = x^3− 1 and g(x) = 2 + 5 sin 3x.
(a) What is the range of g(f(x))? Justify your answ...
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