Hi there!
To find the indefinite integral, we must integrate by parts.
Let "u" be the expression most easily differentiated, and "dv" the remaining expression. Take the derivative of "u" and the integral of "dv":
u = 4x
du = 4
dv = cos(2 - 3x)
v = 1/3sin(2 - 3x)
Write into the format:
∫udv = uv - ∫vdu
Thus, utilize the solved for expressions above:
4x · (-1/3sin(2 - 3x)) -∫ 4(1/3sin(2 - 3x))dx
Simplify:
-4x/3 sin(2 - 3x) - ∫ 4/3sin(2 - 3x)dx
Integrate the integral:
∫4/3(sin(2 - 3x)dx
u = 2 - 3x
du = -3dx ⇒ -1/3du = dx
-1/3∫ 4/3(sin(2 - 3x)dx ⇒ -4/9cos(2 - 3x) + C
Combine:
Answer:
D. 50
Step-by-step explanation:
50/1 (60/100) =
3000/100 =
30/1 =
30
ANSWER
EXPLANATION
The given quadratic trinomial is
Comparing to the general quadratic trinomial:
We have a=1, b=10 and c=-8
The factors of -24 that adds up to 10 are -2 and 12.
We split the middle term to obtain;
Factor;
Factor further;
The last option is correct.
Answer: If the time is 3 1/2 years (most reasonable assumption)
Her initial deposit was $160
Step-by-step explanation: The basic formula for simple interest is
<em>i = prt i </em>is interest, P is principal (deposit) r is the percentage (converted to a decimal) and t is time, the number of years.
For this question, you have to rearrange the equation to solve for p.
So divide both sides by rt and you have
p = i/rt
Substitute the values given
p = 36.40/(0.065)(3.5)
Answer:
Step-by-step explanation:
a + 143 = 180 {Linear pair}
a = 180 - 143
a = 37
37 + 93 + b = 180 {Angle sum property of triangle}
130 + b = 180
b = 180 - 130
b = 40
c + b = 90
c + 40 = 90
c = 90 - 40
c = 50
d + 120 = 180 {Linear pair}
d = 180 - 120
d = 60
? = 60 + 40 {Exterior angle property of triangle}
? = 100
