Answer:
12/4
simplified = 3
Step-by-step explanation:
Answer:
A. y = 2x - 3
Step-by-step explanation:
Answer:
102.849
Step-by-step explanation:
the perimeter of the square is just 4 × 18.
for the semi-circle the perimeter should be R(pi + 2)
so the perimeter of a semi circle is 30.849
add both values for the final answer which is 102.849
Compute the derivative dy/dx using the power, product, and chain rules. Given
x³ + y³ = 11xy
differentiate both sides with respect to x to get
3x² + 3y² dy/dx = 11y + 11x dy/dx
Solve for dy/dx :
(3y² - 11x) dy/dx = 11y - 3x²
dy/dx = (11y - 3x²)/(3y² - 11x)
The tangent line to the curve is horizontal when the slope dy/dx = 0; this happens when
11y - 3x² = 0
or
y = 3/11 x²
(provided that 3y² - 11x ≠ 0)
Substitute y into into the original equation:
x³ + (3/11 x²)³ = 11x (3/11 x²)
x³ + (3/11)³ x⁶ = 3x³
(3/11)³ x⁶ - 2x³ = 0
x³ ((3/11)³ x³ - 2) = 0
One (actually three) of the solutions is x = 0, which corresponds to the origin (0,0). This leaves us with
(3/11)³ x³ - 2 = 0
(3/11 x)³ - 2 = 0
(3/11 x)³ = 2
3/11 x = ³√2
x = (11•³√2)/3
Solving for y gives
y = 3/11 x²
y = 3/11 ((11•³√2)/3)²
y = (11•³√4)/3
So the only other point where the tangent line is horizontal is ((11•³√2)/3, (11•³√4)/3).
Answer:
Option D(No because the wrist circumference of 16 cm is paired with two heights.
Step-by-step explanation:
In the given graph we have set of points representing the wrist circumferences and heights of six students in Alyssa’s classroom.
x axis represents the wrist circumference while y axis represent the height.
Any relation is called a function if for one value of x we have only one value of y. If the graph passes the vertical line test that is if a vertical line drawn touches the graph at only one point then the graph is called a function.In the given graph for x value x=16 there are two y values 162 and 165.So the graph is not a function.
Among all the options Option D(No because the wrist circumference of 16 cm is paired with two heights.) is the right answer.
