Prove that for every positive integer n, one can find n + 1 linearly independent vectors in F(−[infinity], [infinity]). [Hint: Look for polynomials.] b. Use the result in part (a) to prove that F(−[infinity], [infinity]) is infinite-dimensional. c. Prove that C(−[infinity], [infinity]), Cm(−[infinity], [infinity]), and C [infinity](−[infinity], [infinity]) are infinite-dimensional.

Paula makes stained-glass windows and sells them to boutique stores. if her costs total $12,000 per year plus $4 per window for the frame. how many windows must she produce to earn a profit of at least $48,000 in one year if she sells the windows for $28 each? 1. define a variable for the situation. 2. write an inequality that represents her profit. note: revenue is money coming in. cost is money going out. profit is the difference between the revenue and the cost. in other words: revenue - costs profit 3.using words, describe how many windows she must sell to have a profit of at least $48,000.