find the centroid and boundaries y=x^2 and the line y=x
P(Z>-1.53)
Two point charges are brought together as shown below. Calculate the electric potential energy between the two charges if q1=2 nC and q2= 3 nC.
Find the probability of getting a red ace when a card is drawn at random from an ordinary deck of cards.
ACTIVITY IN BASIC CALCULUS
BASIC RULES IN DERIVATIVE
Complete the blanks of the given function below with a number (except 0 and 1) to create your own problem and find the derivative of the function. Show your complete solution to each problem.
1. f(x) = -4x5+ ______x-4 - 2468
2. f (x) =____x-3- _____x1/4 - 12x
3.f(x)= ____ "\\sqrt[4]{x^3} - \\underset{x^6}{=} + \\frac{2}{3} x^6"
4.f (x) = "\\underset{x^-6}{=} -"____ x2 + "\\sqrt[4]{x}"
38. 45. KA weather balloon will burst when the volume exceeds 1.4 m². If it must rise to a height of 15 000 m above sea
level where the atmospheric pressure is 30 kPa at -50 °C. (0.56 L)
PA
Ti
a. What volume of helium should be placed in the balloon at sea level (SATP conditions) so that the balloon will just
rise to the desired level?
b. Will it matter if the balloon is filled at the top of a mountain or at sea level? Explain.
Find each of the following percentiles points
under the normal curve.
1. P82
2. P34
3. P88
4. P42
5. P68
Suppose three test kits are tested at random. Let D represent the defective test kit and let N represent the non-defective test kit. If we let X be the random variable for the number of defective test kits, construct the probability distribution of the random variable X.
Can you give the Mood, Moral, symbol, foreshadowing of Sapay Kamo story?
Find the mean of the probability distribution of a random variable X which if 𝑃(𝑋) =
𝑥+1
20
for X= 1, 2, 3, 4, and 5.