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Describe the error in the following: a. 5 is a subset of N b. x > 1 and x < 4 is equivalent to x > 1 < 4 c. Given the function x + 10, find the value of f(4) d. 0,1,2,3, ... are elements counting numbers e. 22/7 = 3.14
In order to join a voice lesson class you pay a 1,500 pesos fee, then 500 for each class you go to what is the average cost per class graph the function to show whether it form a straight line or a curve

A general form of demand function is given by the equation: Qd=-30P+0.05Y+2Pr+4T

  

where P is the price of the goods, Y is income,  is the price of a related goods (here a substitute), and T is taste. 

a. Give the meaning of each slope.

b. Draw the graph for the demand function assuming.

c. What happens to the graph if the price of the goods changes from 5 to 6?

d. What happens to the graph if any of the other variables change? For example, if income increases to 7400?

e. What happens graph if the slope corresponding to P changes to -20?

f. Graph the function if P is graphed on the vertical axis and is graphed on horizontal axis.


5. A general form of demand function is given by the equation:

  

where P is the price of the goods, Y is income,  is the price of a related goods (here a substitute), and T is taste. 

a. Give the meaning of each slope.

b. Draw the graph for the demand function assuming.

c. What happens to the graph if the price of the goods changes from 5 to 6?

d. What happens to the graph if any of the other variables change? For example, if income increases to 7400?

e. What happens graph if the slope corresponding to P changes to -20?

f. Graph the function if P is graphed on the vertical axis and is graphed on horizontal axis.


1. What is the algorithm to solve [L][Z] = [C] given the set of n equations [A][X ] = [C ], where [A] = [L][U ] involves solving [L][Z ] = [C] by forward substitution.


2. Solve the 3rd iteration values of [ x1 , x2 , x3 ] in the Gauss-Seidel method Using [ x1 , x2 , x3 ] = [1,3,5] as the initial guess.

  1. What is the secant method formula for finding the square root of a real number from the equation x2 − = 0
  2. Given one of the initial estimates is x0 = 3, f (3) = 5, and the angle the secant line makes with the x-axis is 57°, what is the next estimate of the root, x­1 using secant method and the equation is f(x) = 0
  3. Given the equation and using the Naïve Gauss elimination method, solve the unknown and consider 4 significant digits in your answer.

0.0030x1 + 55.23x2 = 58.126.239x1 – 7.123x2 = 47.23

2. Imagine being lost at sea, bobbing around in an orange life jacket. The Coas Guard sends out kinds of observers to spot you, fellow humans (the control group) and pigeons (the experimental group)Ali observers are successfulthe search time in minutes for each is given below. Determine if there is a difference in rescue time between species. Analyze the scores using the 01 level of significance. appropriate, construct 99 percent confidence interval for the true population mean difference: Humans Pigeons 45 6324 3920 31


Solve the following exponential equations and inequalities. (3 points each) 1.52x+1 = 125 4.7x+2 < 49* 2.7x+2 1 x 49 = 5.22x≤8 3.125-125
A. Transform the following logarithmic expressions to its exponential form or vice versa. 1. 24 = 16 2. 9² = 81 3. 3-2 1 9 = 4. log39 = 2 5. log164 = ²/ B. Evaluate the following logarithmic expressions. deposition 1. log232 2. log,1 3. log381 4. log16913 1 5. logs /
1. Create your own or similar real-life situation where rational function is applied. 2. In a bond paper, present the problem from Field of application up to Presentation as illustrated above. 3. You can use graphing paper, MS Excel, Desmos, or any graphing app to graph the function. You can also use calculators to solve the table of values. Clarity of Presentation 60% Organization 30% Applicability to current 10% situation TOTAL 100%
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