y(x)=sin^2 (x/4)+12sin(x/4)
y(x) = sin^2(x/7) +16sin(x/7)
From the Chain Rule,
y'(x) = 2sin(x/4)*(1/4)cos(x/4) + 12(1/4)cos(x/4).
At x=4pi, the slope of the tangent line is
y'(4pi) = 2sin(4pi/4)*(1/4)cos(4pi/4) + 12(1/4)cos(4pi/4).
= 2sin(pi)*(1/4)cos(pi) + 12(1/4)cos(pi)
= 2(0)(1/4)(-1) + 12(1/4)(-1)
= -3
The angle (in radians) that the tangent line makes to the
positive x-axis is
pi - arctan(3)= 1.249 rad =71.565 degree
27 - 1.5x ≤ 36
54 - 3x ≤ 72
-3x ≤ 72 - 54
-3x ≤ 18
x ≥ 18/(-3)
x ≥ -6
..........................................................
Answer:
b is 7 units from 0.
Step-by-step explanation:
= 7 means that the absolute value of b is 7. This means that b can be -7 or 7, so it will always be 7 units from 0.
Hope this helps!
Answer: A. 1 in. : 3.6 ft.
Step-by-step explanation: In order to get the scale on the blueprint we just have to divide the measure in real time by the number of the blueprint, if we know that there´s a wall that is 21.6 feet long, and in the blue print is 6 inches long we just divide it: So now we know that for every inch in the blueprint there has to be 3.6 feet on the real construction.
Answer:
Step-by-step explanation:
Given:
'y' varies inversely with 'x'.
When
An inversely proportional relationship is of the form:
Now, in order to get the equation for the given inverse relationship, we need to find the value of the constant 'k'.
So, we plug in the given values of 'x' and 'y' in the above equation and solve for 'k'. This gives,
Therefore, the equation becomes:
Hence, the first option is the correct answer.