Gene starts from home and travels 3 miles north to the shopping mall. From the shopping mall, he travels 2 miles west to the lib

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 domain refers to all potential input values, specifically represented by the x-axis on a graph. Conversely, the range includes all possible output values, depicted along the y-axis.

The graph clearly extends horizontally from (-∞,∞) on the x-axis, indicating that its domain is (-∞,∞).

Similarly, it can be seen that the graph stretches vertically from (-∞,∞) on the y-axis, denoting that the range is also (-∞,∞).

This indicates the function includes an infinite array of values. Therefore, there are no limitations on either the domain or the range for this function.

For one day:
= £9.20 × 7
= £64.40

For six days:
£64.40 × 6 = £386.40

After sharing with his mom:
£386.40/7 × 5
= £55.20 × 5
= £276

To purchase a car worth £1932:
£1932/£276 = 7

Thus, he needs 7 weeks to save enough for the car priced at £1932.

The answer is in the image provided.

Please refer to the accompanying image.

Answer:

The photographer sold 72 small photos and 54 large photos.

Step-by-step explanation:

We can create a system of equations based on the details provided. Let X represent small photos and Z represent large photos.

It is given that the total number of photos sold is 126:

X + Z = 126

Additionally, she generated $2,250 from selling specific amounts of small and large photos, stated as:

$2,250 = $11X + $27Z

From the first equation, we know X=126-Z. Substituting this into the second equation gives:

2,250 = 11(126-Z) + 27Z

2,250 = 1,386 - 11Z + 27Z

2,250 - 1,386 = 16Z

864 = 16Z

Z = 864/16

Z = 54, which indicates the number of large photos sold. To find X:

X = 126 - Z

X = 126 - 54

X = 72, representing the small photos sold.