Randy's house number is 39
Explanation : We know that Randy's house number is either 29,39,59, or 79. Since his house is a composite number, we must pick the number from the following that is a composite number. 39 is a composite number, because 3 and 13 go into it
Answer:
.
Step-by-step explanation:
The next Numbers in the pattern is 40,41
Answer:
-30√(t/a) cos(√(at)) + 30/a sin(√(at)) + C
Step-by-step explanation:
∫ 15 sin(√(at)) dt
Use substitution:
If x = √(at), then:
dx = ½ (at)^-½ (a dt)
dx = a / (2√(at)) dt
dx = a/(2x) dt
dt = (2/a) x dx
Plugging in:
∫ 15 sin x (2/a) x dx
30/a ∫ x sin x dx
Integrate by parts:
If u = x, then du = dx.
If dv = sin x dx, then v = -cos x.
∫ u dv = uv − ∫ v du
= 30/a (-x cos x − ∫ -cos x dx)
= 30/a (-x cos x + ∫ cos x dx)
= 30/a (-x cos x + sin x + C)
Substitute back:
30/a (-√(at) cos(√(at)) + sin(√(at)) + C)
-30√(t/a) cos(√(at)) + 30/a sin(√(at)) + C
Answer:
So, to work with negative exponents you need to multiply like a positive exponent, and move the decimal over double the digits place each time.
Examples:
If it is 4 with an exponent of -2, then you will multiply 4 by 4 to get 16, and then move the decimal over double the amount of digits. There are two digits, so you will move the decimal over four digits.
So the answer to 4 with an exponent of -2 would be .0016.
