The HiWay Robery Financial Group has determined to advise \( x \) clients at their upcoming series of get-rich-quick seminars, the price per client \( p(x) \) in dollars that must be charged is \[ p(x)=1000-4 x \] The financial group also determines that the total cost of advising \( x \) clients is given by \[ C(x)=360 x+400 . \] How many clients does the financial group need to have in order to maximize their profit? Whamber of clients \( =\square \) dollars Price per client, \( p=\square \) should they charge each client in order to maximize their profit? Compute their maximum profit. Maximum profit \( =\square \)

8 Choose problem 4, 5, or 6. Explain how you could check your answer.

\( \cot ^{4} \theta+\cot ^{2} \theta=\operatorname{cosec}^{2} \theta-\cos ^{2} \theta \) show me

Find the equation of the line that passes through the points \( (2,3) \) and \( (-5,7) \)

Consider the \( \mathbb{R}^{2}-\mathbb{R} \) function \( f \) defined by \[ f(x, y)=\left\{\begin{array}{cll}\frac{x^{2}-2 x y+3 x}{x} & \text { if } & x \neq 0 \\ 2 & \text { if } \quad(x, y)=(0,0)\end{array}\right. \] (a) Write down the largest possible domain \( D_{f} \) of \( f \).

A piece of wire of length 80 cm is bent into the shape of a circle. When the wire is heated, its length increases at a rate of 0.2 cm s . (a) Hitung kadar perubahan jejari bulatan itu. Calculate the rate of change of the radius of the circle. [b) marks] (beterusnya, hitung jejari bulatan itu selepas wayar itu dipanaskan selama 4 saat. [4ence, calculate the radius of the circle after the wire is heated for 4 seconds. [4 marks] [Guna/Use \( \pi=3.142] \) Jawapan / Answer: