Answer:
Option B, 8/5 hr
Step-by-step explanation:
1/2 + 1/8
1*4 / 2*4 + 1/8
4/8 + 1/8
5/8 = 1/t
5t / 5 = 8 / 5
t = 8/5
Answer: Option B, 8/5 hr
9514 1404 393
Answer:
y = 4x + 16
Step-by-step explanation:
You can replace the point coordinates in the given point-slope form to get ...
y - 32 = 4(x -4)
Then rearrange to put this into slope-intercept form.
y = 4x -16 +32 . . . . eliminate parentheses, add 32
y = 4x +16 . . . . . . . . simplify
Solution :
We have been given a parametric curve :
x = sin t , y = cos t , 0 < t < π
In order to determine concavity of the given parametric curve, we need to evaluate its second derivative first.
Therefore,
Taking double derivatives of the above equation:
For the concave up, we have
∴
For the concave down, we have
Step-by-step explanation:
The only way the answer could be E is if the x² term under the radical is supposed to be t².
f(x) = ∫₄²ˣ √(t² − t) dt
f'(x) = √((2x)² − 2x) (2)
f'(x) = 2√(4x² − 2x)
f'(2) = 2√(4(2)² − 2(2))
f'(2) = 2√12
Answer:
(m − 3) (m + 2)
Step-by-step explanation:
m² − m − 6
To factor a quadratic ax² + bx + c, you can use the AC method.
1. Multiply a and c.
2. Find factors of ac that add up to b.
3. Divide the factors by a and reduce.
4. The denominators are the coefficients, the numerators are the constants.
Here, a = 1, b = -1, and c = -6.
1. ac = -6
2. Factors of -6 that add up to -1 are -3 and 2.
3. -3/1, 2/1
4. Factors are m − 3 and m + 2.
m² − m − 6 = (m − 3) (m + 2)