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:
x = 20
Step-by-step explanation:
(2 + 3x) and 62° are vertically opposite angles and are congruent, so
3x + 2 = 62 ( subtract 2 from both sides )
3x = 60 ( divide both sides by 3 )
x = 20
Answer:
y= x^2 + 6
Step-by-step explanation:
y= x2 + 6 (which should be written as y= x^2 + 6) has the form y - k = a(x - h)^2. For y= x^2 + 6, h = 0 and k = 6. Thus the vertex is (0, 6)
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