Answer:
D. The function f has 3 horizontal tangent lines
Step-by-step explanation:
Well whenever any function crosses the x-axis, it means that the y-value is equal to zero.
In this case when the derivative passes the x-axis it indicates the tangent line corresponding to that x-value has a slope of zero, which when plotted is a horizontal line.
This means that the graph f has 3 horizontal tangent lines.
Answer:
40 inches
Step-by-step explanation:
Volume, V of hemisphere = 2/3 π r^3
Radius, r = 24 inches ;
V = 2/3 π 24^3
V = 28952.917 in³
Volume of cylinder = π r^2 * h
h = height ; r = Radius = 32 /2 = 16 inches
Volume of hemisphere = volume of cylindrical tank
28952.917 = π (16)^2 * h
28952.917 = 804.24771h
h = 28952.917 / 804.24771
h = 35.9999
h = 40 inches
Molten stell rise is 40 inches
Answer:
(6, 9 ) and r = 3
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² - 12x - 18y + 108 = 0
Rearrange the x- terms and the y- terms together and subtract 108 from both sides, that is
x² - 12x + y² - 18y = - 108
To obtain standard form use the method of completing the square
add ( half the coefficient of the x and y terms )² to both sides
x² + 2(- 6)x + 36 + y² + 2(- 9)y + 81 = - 108 + 36 + 81
(x - 6)² + (y - 9)² = 9 ← in standard form
with centre = (6, 9 ) and r = 
= 3
Answer:
w=5
Step-by-step explanation:
firstly angle SUT and angle SUV are congruent, hence:
w+10=3w
10=3w-w
10=2w
10/2=w
5=w
Answer:1+5x44+x55555,0=9999999999999999999
Step-by-step explanation:
