MATHEMATICS HIGH SCHOOL

PLEASE ANSWER REALLY EASY

Answers

Answer 1

Answer:

Answer:

I will answer here because I am glitching.

Step-by-step explanation:

1. 1.36 < $√(2)$ < 2.45

2. 1.65 < $√(3)$ < 2.34

3. 1.65 < $√(4)$ < 2.34

4. 2.14 < $√(5)$ < 3.56

5. 2.41 < $√(6)$ < 3.56

I believe this is correct but check if I am wrong.

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complete the following steps to find an equation of the tangent plane to the surface at the point : step 1: determine the function that describes the surface in the form : step 2: find step 3: find step 4: find step 5: find step 6: find step 7: find the equation of the tangent plane at the given point is

Answers

The point-normal form of a plane equation: (Fx(x0, y0, z0))(x - x0) + (Fy(x0, y0, z0))(y - y0) + (Fz(x0, y0, z0))(z - z0) = 0.

To find the equation of the tangent plane to a surface at a given point, follow these steps:

Step 1: Determine the function that describes the surface in the form F(x, y, z) = 0.

Step 2: Find the partial derivative of F with respect to x, denoted as Fx.

Step 3: Find the partial derivative of F with respect to y, denoted as Fy.

Step 4: Find the partial derivative of F with respect to z, denoted as Fz.

Step 5: Evaluate Fx, Fy, and Fz at the given point (x0, y0, z0).

Step 6: Use the gradient vector, which consists of the evaluated partial derivatives (Fx(x0, y0, z0), Fy(x0, y0, z0), Fz(x0, y0, z0)), as the normal vector to the tangent plane.

Step 7: Use the point-normal form of a plane equation: (Fx(x0, y0, z0))(x - x0) + (Fy(x0, y0, z0))(y - y0) + (Fz(x0, y0, z0))(z - z0) = 0. This is the equation of the tangent plane at the given point.

By following these steps, you will find the equation of the tangent plane to the surface at the specified point.

For more about plane equation:

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Approximately how many degrees are in the measure of an interior angle of a regular eight sided polygon?