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Ms. Enriquez instructed the students to choose which between the two capacitor has the greatest capacitance. The metal plates of Capacitor A has an area of 100 cmΒ² separated by a distance of 0.2 cm while Capacitor B's metal plates is 0.4 cm away from each other with an area of 50 cmΒ². Which one shall the students choose?


Economic indicators used to measure each macro-Economic objective

on complete combustion 0.246g of an organic compound gave 0.198g of CO2 and 0.1014g of H2O. What is the ratio of carbon and hydrogen atoms in the compound?


5. The electric field caused by a certain point charge has a magnitude of 5.0 Γ— 10^3 𝑁 𝐢 at a distance 0.10m from the charge. What is the magnitude of the charge?

6. Two particles having charges π‘ž1 = 1.00 Γ— 10^βˆ’19𝐢 and π‘ž2 = 2.00 Γ— 10^βˆ’9𝐢 are separated by a distance 2.00m. At what point is the total electric field due to the two charges equal to zero?

7. Create an illustration of the electric field lines of π‘ž1 = 1𝐢 between π‘ž2 and π‘ž3 both having a charge od -2C.

8. A uniform electric field 𝐸 = 8000 𝑁 𝐢 passing through a flat surface with an area of 𝐴 = 10π‘š^2 . Determine the flux if: a.) the electric field direction and the line perpendicular to the surface is pointing in the same direction. b.) the electric field direction and the line perpendicular to the surface is perpendicular. c.) the angle is 45οΏ½


An object with an initial velocity of 20 m/s accelerates uniformly at 5 m/s 2 in the direction of its motion at a distance of 10 m. What is the final velocity of the object?



1. Two charges are located on the positive x-axis of a coordinate system. Charge π‘ž1 = 2 Γ— 10^βˆ’9𝐢 is 2cm from the origin, and charge π‘ž2 = βˆ’3 Γ— 10^βˆ’9𝐢 is 4cm from the origin. What is the total force exerted by these two charges on a charge π‘ž3 = 5 Γ— 10^βˆ’9𝐢 located at the origin?

2. A negative charge of βˆ’0.50 Γ— 10^βˆ’6𝐢 exerts a repulsive force of magnitude 0.20 N on an unknown charge 0.20 m away. What is the unknown charge (magnitude and sign)?

3. How many excess electrons must be placed on each of two small spheres spaced 3cm apart if the spheres are to have equal charge and if the force of repulsion between them is to be 10^βˆ’19𝑁?

4. What is the electric field 30cm from a charge π‘ž = 4 Γ— 10^βˆ’9𝐢?


Write a class that contains variables to hold your tuition fee and your book fee. Display the sum of the variables. Save the class as Fees.java.Β 



The function 𝑓(π‘₯)=2π‘π‘œπ‘  π‘₯βˆ’3 is defined for the domain 0≀π‘₯β‰€πœ‹/2

a. Find the range of 𝑓(π‘₯)

b. Find 𝑓^βˆ’1(π‘₯).


The function 𝑓(π‘₯) is defined as 𝑓(π‘₯)=π‘Ž+𝑏cosπ‘₯, where π‘Ž and 𝑏 are constants. The range of 𝑓(π‘₯) is given by βˆ’6≀𝑓(π‘₯)≀2.

a. Find the values of π‘Ž and 𝑏

b. Solve the equation 𝑓(π‘₯)=0 for 0°≀π‘₯≀360Β°

c. Sketch the graph of 𝑦=𝑓(π‘₯) for 0°≀π‘₯≀360Β°


Consider 𝑔(π‘₯)=4sin3π‘₯

a. Write down the period of 𝑔(π‘₯)

b. Write down the number of solutions to the equation 𝑔(π‘₯)=3, for 0≀π‘₯≀2πœ‹

c. Starting with the graph of 𝑦=sinπ‘₯, state the transformations which can be used to sketch 𝑔(π‘₯).


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