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: 5/2
Step-by-step explanation:
Plug in two points from the table into the formula y2-y1 divided by x2-x1
I hope this helps.
#1 is b and #2 is also b ,, i think..so sorry if i’m wrong!
Answer:
119
Step-by-step explanation:
Given f(x) divided by (x - h) then the value of f(h) is the remainder, thus
f(6) = 2(6)³ - 9(6)² + 11
= 2(216) - 9(36) + 11
= 432 - 324 + 11
= 119 ← remainder
The equation of the given line is y = 5/6x - 2
The standard equation of a line in slope-intercept form is expressed as
y = mx + b
m is the slope of the line
b is the y-intercept
Using the coordinate point (0, -2) and (-6, 3)
Slope m = 3-(-2)/-6-0
m = 5/6
Since the line cuts the y-axis at y = -2, hence the y-intercept is -2.
Find the equation of a line;
y = mx + b
y = 5/6x + (-2)
y = 5/6x - 2
Hence the equation of the given line is y = 5/6x - 2
Learn more on equation of a line here: brainly.com/question/7098341
