Answer:

Step-by-step explanation:
We are given that
Equation of curves


Both curves lie on S.
We have to find the equation of tangent plane at P(4,1,4).


Hence, t=0 and u then it satisfied the given point.
Substitute the values in the derivatives


The equation of tangent at point P(4,1,4) is given by




Answer:
Cesar will be doing 15 research reports during the school year.
Step-by-step explanation:
Given:
Number of research report completed = 3
Percentage of the report completed for school year = 20%
We need to find total number of research report completed during school year.
Solution:
Let the total number of research report completed during school year be 'x'.
Now we can say that;
Number of research report completed is equal to Percentage of the report completed for school year multiplied by total number of research report completed during school year and then divided by 100.
framing in equation form we get;

Dividing both side by 0.2 we get;

Hence Cesar will be doing 15 research reports during the school year.
10 pounds use division , 20/2=10 pounds of apples total
Answer:
circle
Step-by-step explanation:
The equation
x² + y² = r²
Represents a circle centred at the origin with radius r
x² + y² = 25 ← is in this form and
is a circle centre (0, 0) with r = 5