Other Math Answers

C. Choose a quantity to be represented by a variable, then write a mathematical expression for each.

1. The product of three consecutive integers

2.. Jose's age in 10 years

3. The distance traveled by a man driving at the rate of 45 kph

4. The total amount in pesos of 30 coins consisting of 5-peso coins and 10-peso coins

5. The sum of three consecutive odd integers

6. The fraction of work done by a man who can finish a job in three days

7. The total interest after one year if a fraction of P500 000 is invested at 5% annual interest rate and the remaining part is invested at 7.5% annual interest rate

8. A three-digit number whose hundreds digit is twice its tens digit and the tens digit is 3 more than the units digit

9. The percentage of alcohol in a mixture formed by combining 1.5 liter of pure water and x liters of 30% alcohol solution.

10. The total distance traveled by a boat 1 hour and 20 minutes upstream and 40 minutes downstream if the rate of the current is 3 kph.

1.) A motor has 5 speeds varying from 29 rpm to 464 rpm in a Geometric Progression.

(a)Calculate the common ratio

(b)Make a table of the speeds.

2.)

a.)Solve by calculating a value for the following Maclaurinseries when

𝑥=3to 3 decimal places.

𝒇(𝒙)=𝒙/𝒆

b.)Solve using power series prove:

𝒅/𝒅𝒙(𝒆^𝒙)=𝒆^x

You have carried out an experiment to investigate the effect of the

length of a pendulum on the time-period of oscillation. Theory says

that the pendulum should follow the rule

𝑻=𝟐𝝅√𝑳/𝒈

Where T is the time-period

L is the length of the pendulum

G is the acceleration due to gravity

Accurately solve using routine/non-routine operations and evaluate using non-routine sequence and series operations, the approximate percentage error in the time-period calculation if your measurement of length is 3% high and G is measured 2% too smal

MID_TERM ASSIGNMENT 1. Evaluate the integral ∫ (𝒛̅) 𝟐𝒅𝒛 𝟐+𝒊 𝟎 a) Along the line 𝒚 = 𝒙 𝟐 b) Along the real axis from 0 to 2 and then vertically 0 to 2+i 2. Use Cauchy’s Integral Formula to evaluate ∫ 𝒛𝒅𝒛 𝑪 𝒁𝟐−𝟑𝒛+𝟐 , where C is the circle |𝒛 − 𝟐| = 𝟏 𝟐 3. Evaluate ∬ √𝒚 𝟐 + 𝒛 𝟐 𝑹 𝒅𝒚𝒅𝒛; over the region R in the y-z planr bounded by 𝒚 𝟐 + 𝒛 𝟐 = 𝟒 4. Evaluate∭ (𝟐𝒙 + 𝒚)𝒅𝒗 𝑽 ; where V is closed by the cylinder 𝒛 = 𝟒 − 𝒙 𝟐 ;and the planes x=0;y=0;y=2 and z=0

MID_TERM ASSIGNMENT

1. Evaluate the integral ∫ (𝒛̅) 𝟐𝒅𝒛 𝟐+𝒊 𝟎 a) Along the line 𝒚 = 𝒙 𝟐 b) Along the real axis from 0 to 2 and then vertically 0 to 2+i

2. Use Cauchy’s Integral Formula to evaluate ∫ 𝒛𝒅𝒛 𝑪 𝒁𝟐−𝟑𝒛+𝟐 , where C is the circle |𝒛 − 𝟐| = 𝟏 𝟐

3. Evaluate ∬ √𝒚 𝟐 + 𝒛 𝟐 𝑹 𝒅𝒚𝒅𝒛; over the region R in the y-z planr bounded by 𝒚 𝟐 + 𝒛 𝟐 = 𝟒

4. Evaluate∭ (𝟐𝒙 + 𝒚)𝒅𝒗 𝑽 ; where V is closed by the cylinder 𝒛 = 𝟒 − 𝒙 𝟐 ;and the planes x=0;y=0;y=2 and z=0

Find the angle nearest to the whole number between the surfaces x2+y2+z2=9 and z=x2+y2-3 at the point (2, -1, 2).

Select one:

A 560

B 550

C 54o

D 53o

What does doing mathematics mean?

1. 

Provide teachers with the process of unpacking the problem to be solved.

2.

Doing the operations (+, -, x, ÷) with whole numbers, patterns and functions correctly.

3.

Requires learners to guide the teacher and ask thought provoking questions.

Identify the simplest rational function (in non-factored simplified form) which simplifies to 3 whose graph is a horizontal line except for two holes at Y=-5 and y = 7