Answer:
Step-by-step explanation:
this picture has a blue circle with a line through it i dont know what to help you with if you could tell me the equation then i can help you but i cant if there is a blue circle in it.
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
1 bell shape
2 to find probability when sampling
EXPLANATION
1 In a normal distribution, the mode,mean and median are equal.
As a result, the distribution is neither skewed to the right or left.
The shape of the normal distribution looks like a bell.
That is why it is also called the bell curve.
2. The area under the normal curve is 1.
The line of symmetry of the bell shaped distribution divides it into two halves with area 0.5 each.
The normal curve is therefore used to find the probabilities of a sample distributions.
Step-by-step explanation:
Susan has a high chance of picking a yellow marble because she has more yellow than any color
Answer: 3.7 in.
Step-by-step explanation:
Given, A toy designer is creating a basketball plushy. The designer has fabric that measures 171.9 sq. in.
To find: The maximum radius of the basketball that the designer can create.
For this, Surface area of basketball = area of fabric
Formula: Surface area of sphere = 
, where r is the radius.
Then, 
Hence, the maximum radius of the basketball that the designer can create is 3.7 in.
