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# Homework Help for Mathematics (page 572)

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Mathematics
For each part, clearly indicate your final short answer in the appropriate BOX provided marks, 1 mark for each part, with NO part marks for incorrect final answers.] Given the function f(x)=- a) List all values of x where a critical point occurs. Indicate if there are none.
12 May 2018
Mathematics
7. Define what is an equivalence relation on a set S.
10 May 2018
Mathematics
5. Evaluate the following expressions. (a) log3 (log28)
12 May 2018
Mathematics
4.  COMPLETE THE FOLLOWING SENTENCE: Post-multiplication of matrix A by the transpose of the inverse of matrix B involves computing the product:
10 May 2018
Mathematics
16 - 4 11 +11 3. [8 points] Let f(1) == - where I > 0, 175 and f(5) = - mine if f is continuous at I=5. Explain. Deter-
10 May 2018
Mathematics
Given: f(x)= xe", and lim xe* = 0 b) On what open interval(s) is f'(x) negative? (use interval notation)
11 May 2018
Mathematics
Find an equation of the line f(x) (e) Suppose f(4) = 3 and f'(4) = 2. Let h(x) = . * tangent to y=h(x) at x = 4.
11 May 2018
Mathematics
4. Write the negation of the following statement (you can use words or the logical symbols): "For any two real numbers a, b, if a.b=0 then either a=0 or b=0."
9 May 2018
Mathematics
The demand equation for a product is given by (p+10%(q +20) = 1000 (in dollars), and the supply equation is 4-4p+10 = 0 (in dollars). a) Verify, by substitution, that market equilibrium occurs when p = 10 and q = 30
11 May 2018
Mathematics
10. The integral ſ 2x Inx dx is equal to 1) B) +1 B) é? +1 C) xinx-2 )rºnt-end De- D) e-1 E) none of these
9 May 2018
Mathematics
7. Construct the truth table of the statement [PV(Q)] = [Q^(-P)].
9 May 2018
Mathematics
1. Determine the derivatives of the following functions. Show all your work. You do not need to simplify. (a) (6 points) g(t) = 24-0.15 - + In(3). (b) (6 points) P(1) = 1.012°-52 (2+ 5.24 – VT)
9 May 2018
Mathematics
Problem 13. Daphne's Daisies sells two types of pots of flowers, Daisy Pot and Fern Pot. They have only enough pots to sell a total of 50 flower pots per day. There is a commitment to make at least 20 Daisy Pots and at least 10 Fern Pots every day. In addition, the shop has a profit of \$6 per Daisy Pot and \$4 per Fern Pot sold. If the shop makes the correct number of each type of flower pot to maximize their profit on a given day, how many of each type of flower pots will be made, and what will the profit be? A) 20 Daisy Pots and 30 Fern Pots for a profit of \$240; B) 100 Daisy Pots and 10 Fern Pots for a profit of \$600; C) 40 Daisy Pots and 10 Fern Pots for a profit of \$280; D) 50 Daisy Pots and 0 Fern Pots for a profit of \$300; E) 0 Daisy Pots and 50 Fern Pots for a profit of \$200; F) none of these.