Answer:
The tangent plane equation for the hyperboloid
.
Step-by-step explanation:
We have
The ellipsoid's equation is

The equation for the tangent plane at the point 
(Given)
The hyperboloid's equation is

F(x,y,z)=


The tangent plane equation at point 

The tangent plane equation for the hyperboloid is

The tangent plane equation

Hence, the required tangent plane equation for the hyperboloid is

The Pythagorean theorem is a foundational principle. Given that 2 and 5 represent the lengths of the legs while c denotes the hypotenuse, the relevant equation would be stated as such, corresponding to the first option.
To calculate the mean absolute deviation of
1,2,3,4,5,6,7
, we start by finding the mean;
(1+2+3+4+5+6+7) =28/7
= 4
. Next, we determine the absolute differences of each data point from the mean (x-μ)
= -3,-2,-1,0,1,2,3
. The absolute values are 3,2,1,0,1,2,3
. Now we compute the mean of these absolute differences,
3+2+1+0+1+2+3 = 12
= 12/7
= 1.7143
. Thus, the mean is 4, and the Mean absolute deviation comes out to be 1.7143
Answer:
550
Step-by-step explanation:
We know that 17% of the applicants (3,240) will receive acceptance.
0.17 * 3,240 = 550.8
Thus, 550 students will gain acceptance
we must round down since only 17% can be accepted, and having 0.8 of a person is not feasible
hope this helps
Answer: The result is 
Step-by-step explanation: A glass bottle filled with oil has a weight of 590 grams. After Sophia takes away 200 milliliters of oil, the bottle's weight drops to 400 grams.
Consequently, the mass of the oil used by Sophia is calculated as = 590 - 400 = 190 grams.
This means that 190 grams corresponds to 200 milliliters, thus

The relationship between the mass 'M' of the oil bottle in grams and 'V', the volume of oil used by Sophia can be represented as
