Math Answers

Let T be a tree of order n. Show that the size of the complement T^- of T is the same as the size of K_n-1.

The fourth-degree polynomial

f(x) =230x⁴ +18x³+9x² -221x-9

Has two real zeros, one in[-1,0] which is -0.0406593. Attempt to approximate this zero to within 10^-2 using the

a) secant method( using the endpoint of each Interval approximation)

b) Newton' method(use the midpoint of each Interval as the initial approximation

1. Determine the center and radius given the equation of a circle in standard form.

1. (x-5)+(y + 4)² = 64

2. (x + 9) +(y-7)² = 121

3. x² + (y+6)² = 4

4. (x-1)² + y² = 1

• II. Convert the equation of a circle in standard form to general form or vice versa.

1. (x-2)² + (y+6)² = 4 2. (x+6)² + (y + 4)² = 36

3. x² + y² + 4x-2y-4=0

Determine the focus and directrix of the parabola with the given equation. Sketch the graph, indicate the focus, vertex and axis of symmetry.

1. x² - 6x - 5y = -34

2. y² - 12x + 8y = -40

5. Lover Hardware Store had net credit sales of P 6,500,000 and cost of goods sold of P 5,500,000

for the year. The Accounts Receivable balances at the beginning and end of the year were P

600,000 and P 700,000, respectively. The Receivable turnover was:

a. 7.7 times

b. 10.8 times

c. 9.3 times

d. 10.0 times

The mean score and standard score in the Statistics test are respectively equal to 80 and 2.5, whereas in the Mathematics test they are respectively equal to 70 and 2. If Beth got a score of 85 in Statistics and a score of 75 in Mathematics, in which subject is her standing better normality in both subjects?

1. Find the derivative of the given function, f(x)=1966

2. Find the derivative of the following function: f(x)=x²+6x+9

3. Find the slope of the tangent line to the graph of the following function at the indicated point, f(x)=3-2x at (-1, 5)

4. Find the derivative of the function: f(x)=x½

5. Find the derivative of the function f(x)=5x²(x+47)

6.) Find the derivative of the function: f(x)=5(x+47)²

7. Find the derivative of the function f(x)= 5x²/(x+47).

8. Which of the following functions are NOT differentiable?

a. f(x)=lxl

b. f(x)=(x+3)⁴

c. f(x)=mx+b

d. f(x)=1066

e. none of the above

9. Which of the following functions are NOT everywhere continous?

a. f(x)=x²-4/(x+2)

b. f(x)=(x+3)⁴

c. f(x)=1066

d. f(x)=mx+b

e. none of the above

Find the mean variance and standard deviation of the following probability

Z. 2. 6. 8. 10. 12

P(z). 0.35. 0.24. 0.20. 0.15. 0.06

Find the mean variance and standard deviation of the following probability

Z 2. 6. 8. 10. 12

P(z). 0.35. 0.24. 0.20. 0.15. 0.06

Chinovac Labs tried a new vaccine on 126 randomly selected individuals. From the experiment, it was determined that 118 of them developed immunity. Calculate a 95% confidence interval for the proportion p of individuals in the population for whom the vaccine would help. What is the point estimate of this interval?