Step-by-step explanation:
y = 3 + 8x^(³/₂), 0 ≤ x ≤ 1
dy/dx = 12√x
Arc length is:
s = ∫ ds
s = ∫₀¹ √(1 + (dy/dx)²) dx
s = ∫₀¹ √(1 + (12√x)²) dx
s = ∫₀¹ √(1 + 144x) dx
If u = 1 + 144x, then du = 144 dx.
s = 1/144 ∫ √u du
s = 1/144 (⅔ u^(³/₂))
s = 1/216 u^(³/₂)
Substitute back:
s = 1/216 (1 + 144x)^(³/₂)
Evaluate between x=0 and x=1.
s = [1/216 (1 + 144)^(³/₂)] − [1/216 (1 + 0)^(³/₂)]
s = 1/216 (145)^(³/₂) − 1/216
s = (145√145 − 1) / 216
D because multiplication is done before addition and subtraction
1) y=3x-4
When x increases by 1, y increases by 3 so the slope is rise/run → 3
y-int is -4 bc y-value is -4 when x=0
2)y=-3x+4
When x increase by 2, y decreases by 6 so the slope is rise/run → -3
y-int is 4 bc y-value is 4 when x=0
3)y=-1/3x+4
When x increase by 3, y decreases by 1 so the slope is rise/run → -1/3
y-int is 4 bc you now have the equation y=-1/3x+b and u just have to plug in random point from the graph, so ex, 6 into x and 2 into y. You can get 4 as b in the equation.
4)y=1/3x-4
When x increases by 6, y decreases by 2 so the slope is rise/run → 1/3
y-int is -4 bc u do the same thing as 3)
For ex, plug in 6 for x and -2 for y and you can get -4 as the b in the equation.
Answer:
-22/3
Step-by-step explanation:
I'm assuming you want the improper fraction of -7 1/3.
Multiply the denominator of 1/3 (which is 3) by -7, which should give you -21. Add the remaining of the numerator of the fraction, (which is 1) to get -22. Put that over 3, and you get -22/3.
here's the work:
-7 1/3
= -(21+(-1))/3
=-22/3
Answer:
i cant see the picture you should add me on snap chat or something so i can help you
Step-by-step explanation:
snap: katie_gurlie
