4.At the point (0, 0) the graph of y4.x2 has greater curvature than does y = 2x².If f is a function of x and y, then (fa(a, b), fy(a, b), – 1) is normal to the tangentplane of f at (a, b, f(a, b)).5. (9) For each of the following, write out “TRUE" if it is true, and "FALSE" if it is false.1.if l1 is a line on plane p and lz in orthogonal to l1, then the direction of l2 is normalto p.g(a, B) and y =h(а, в). Then2.dfdaSuppose f is a function of x and y, and x =af dxaf dy+Using cylindrical coordinates r² – (z + 1)(z – 1) = 0 is the equation of a cone.3.

These equation represents parabola,then Radius of curvature: K= y'' /([1+(y')²]^3/2)

Answered: 4. At the point (0, 0) the graph of y…

Math

Calculus

4. At the point (0, 0) the graph of y 4.x2 has greater curvature than does y 2x2.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.4: Plane Curves And Parametric Equations

Problem 33E

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Question

4.
At the point (0, 0) the graph of y
4.x2 has greater curvature than does y = 2x².
If f is a function of x and y, then (fa(a, b), fy(a, b), – 1) is normal to the tangent
plane of f at (a, b, f(a, b)).
5.

(9) For each of the following, write out “TRUE" if it is true, and "FALSE" if it is false.
1.
if l1 is a line on plane p and lz in orthogonal to l1, then the direction of l2 is normal
to p.
g(a, B) and y =
h(а, в). Then
2.
df
da
Suppose f is a function of x and y, and x =
af dx
af dy
+
Using cylindrical coordinates r² – (z + 1)(z – 1) = 0 is the equation of a cone.
3.

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