(a) (i) Rationalize the denominator of (iii) Hence, or otherwise, simplify -4 +(12-√32) 3+2√2 (b) The profit function in Kwacha per day for a small scale company is given by f(x) = -16x²+64x+190, where x is the number of products sold each day. Find the number of products (x) sold each day in order to maximize the profit, and find this maximum profit. -4 (√2+1)²

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
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Q3. (a) (i) Rationalize the denominator of
(iii) Hence, or otherwise, simplify
-4
+(12-√32)
3+2√2
(b) The profit function in Kwacha per day for a small scale company is given by
f(x) = -16x²+64x+190, where x is the number of products sold each day. Find the number
of products (x) sold each day in order to maximize the profit, and find this maximum profit.
(c) (i) Simplify 250 where i = √-1.
-². Is * associative?
2
(ii) Let * be a binary operation on R defined by x * y =
(d) (i) A curve has the equation f(x) = 8 + 22₁-3. Find dy and .
d²y
(ii) Prove the identity tan + cot 0 =
cos sin
-4
(√2+1)²
Transcribed Image Text:Q3. (a) (i) Rationalize the denominator of (iii) Hence, or otherwise, simplify -4 +(12-√32) 3+2√2 (b) The profit function in Kwacha per day for a small scale company is given by f(x) = -16x²+64x+190, where x is the number of products sold each day. Find the number of products (x) sold each day in order to maximize the profit, and find this maximum profit. (c) (i) Simplify 250 where i = √-1. -². Is * associative? 2 (ii) Let * be a binary operation on R defined by x * y = (d) (i) A curve has the equation f(x) = 8 + 22₁-3. Find dy and . d²y (ii) Prove the identity tan + cot 0 = cos sin -4 (√2+1)²
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