by separating the variables
∴ y dy = -x dx
integrating both sides with respect to x
∴ ∫y dy = ∫-x dx
∴
finding c using initial condition y(2) = 2.
∴
∴ c = 4
∴
multiplying all the equation by 2
∴ y² = -x² + 8
∴ x² + y² = 8
The resultant equation represents the equation of the circle
with center (0,0) and radius = √8 = 2√2
so, the domain of this function is [-2√2 , 2√2]
See the attached figure
Answer:
Student B because an irrational number cannot be of the form p/q
Step-by-step explanation:
used my brain
Answer: 1. 1/2 + try to figure out the rest I believe in you
Step-by-step explanation:
First cross simplify 1. 1/2 2/2 = 1/1 x 1/2, then multiply 1 x 1, then 1 x 2 = 1/2 for the first one, use the same for the rest.
8-4(5)+12
8-20+12
20-20
0
Hope this helps :)
Answer:
Step-by-step explanation:
Since the scores of the math test are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = math test scores.
µ = mean score
σ = standard deviation
From the information given,
µ = 76
σ = 5
The probability that a student scored below 65 is expressed as
P(x < 65)
For x = 65
z = (65 - 76)/5 = - 2.2
Looking at the normal distribution table, the probability corresponding to the z score is 0.014
The percentage of students that scored below 65 is
0.014 × 100 = 1.4%
