Provide an appropriate response.Find the derivative of y = 5x(x2 - 3x) by using the Product Rule and by rewriting and then using the Constant Multiple Rule. Show that your answers are equivalent.

What will be an ideal response?


By the Product Rule, 
By the Constant Multiple Rule, 
15x2 - 30x = 15x2 - 30x

Mathematics

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For the given function f(x), find a bound for the indicated remainder term on the given interval.f(x) = sin x; R5; a = 0; [-1, 1]

A. 0.0196 B. 0.000196 C. 0.00196 D. 0.196

Mathematics

47,500 is equal to __________ ð 103.

a. 4.75 b. 47.5 c. 475 d. 4750 e. 47500

Mathematics

Solve the problem.Find the height of a pine tree that casts a 47-foot shadow on the ground assuming that the angle of elevation from the point on the ground at the tip of the shadow to the sun is 64°. Round your answer to the nearest foot.

A. 23 ft B. 21 ft C. 96 ft D. 42 ft

Mathematics

Add or subtract as indicated. Write your answer in the form a + bi.(5 + 7i) - (-8 + i)

A. -13 - 6i B. -3 + 8i C. 13 + 6i D. 13 - 6i

Mathematics