Answer: 32/35
Step-by-step explanation:
got it correct
Answer:
ln|sec θ + tan θ| + C
Step-by-step explanation:
The integrals of basic trig functions are:
∫ sin θ dθ = -cos θ + C
∫ cos θ dθ = sin θ + C
∫ csc θ dθ = -ln|csc θ + cot θ| + C
∫ sec θ dθ = ln|sec θ + tan θ| + C
∫ tan θ dθ = -ln|cos θ| + C
∫ cot θ dθ = ln|sin θ| + C
The integral of sec θ can be proven by multiplying and dividing by sec θ + tan θ, then using ∫ du/u = ln|u| + C.
∫ sec θ dθ
∫ sec θ (sec θ + tan θ) / (sec θ + tan θ) dθ
∫ (sec² θ + sec θ tan θ) / (sec θ + tan θ) dθ
ln|sec θ + tan θ| + C
Lines are described by equations of the form y = mx + b
The fast way of finding 'b' is to look for a place where x = 0 and plug in the x and y values into this equation. In the case of this line, when x = 0, y = 5:
5 = m(0) + b
5 = 0 + b
5 = b
To get the slope, 'm', we need to pick two points and divide the difference of their y values by the difference of their x values. Pick points where the line falls on the grid. The one we just used, (0,5), works well. So does (2,1).
Plug into the equation m = (y2-y1)/(x2-x1) to get m = (1-5)/(2-0) = -4/2 = -2
Our equation is y = -2x + 5
Answer:
A)
Step-by-step explanation:
Multiply each number form the table x by 1.75 and substract from y
Answer:
The probability of hitting an odd number three times is 3.375 times more than the probability of hitting an even number three times..
Step-by-step explanation:
Probability of hitting an odd number = 3/5
Probability of hitting an odd number = 2/5
Probability of hitting an odd number three times = (3/5)^3
Probability of hitting an odd number three times = (2/5)^3
Now divide (3/5)^3 by (2/5)^3 we get:
(3/5)^3 / (2/5)^3
(3)^3/(2)^3
27/8 = 3.375
The probability of hitting an odd number three times is 3.375 times more than the probability of hitting an even number three times..
