9514 1404 393
Answer:
22/21
Step-by-step explanation:
Taking the derivative, we have ...
2x·dx +2y²·dx +4xy·dy +3·dy = 0
dx(2x +2y²) +dy(4xy+3) = 0
At the given point, this is ...
dx(2·2 +2·(-3)²) +dy(4·2·(-3) +3) = 0
22dx -21dy = 0
dy/dx = 22/21
The slope of the tangent at the point of interest is 22/21.
Answer:
254.47
Step-by-step explanation:
Area= r²π
A= 9²π
A= 81π
A= 524.47
<u>NB</u>: this is a pi sign (π)
Answer:
The question is incomplete, so I will describe the sine regression model.
The function
y = 0.884 sin(0.245x - 1.093) + 0.400
correspond to the general equation:
y = a sin(bx - c) + d
where:
a = 0.884
b = 0.245
c = 1.093
d = 0.400
The amplitude of the function is computed as follows:
amplitude = |a| = 0.884
The period of the function is computed as follows:
period = 2π/|b| = 25.6456
The phase shift of the function is computed as follows:
phase shift = c/b = 4.4612 to the right (because there is a minus sign before c in the equation)
The vertical shift of the function is computed as follows:
vertical shift = d = 0.400
Answer:
20.08553692319
Step-by-step explanation:
We want to find the value of

Recall that
is the base of the natural logarithm.
You can find this on your scientific calculator as a secondary function;
Enter
on your scientific calculator and press the equal to sign.
You should see the result;
20.08553692319
.89x4 is 3.56, 4 quarts to a gallon. Answer is D