4. Sketch the graph of the curve y = Vx and the tangent line in the Cartesian Plane using a scale of 1 unit = I cm. Show in your diagram the line segments dx, dy, and Ay, similar to Figure 4.5.1. [Note: the curve is an upper semi-parabola whose vertex is at the origin and concaving to the right. Use 0, 1, 4, and 9 as x-coordinates.] As Differentiale

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 61E
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4. Show your complete solution.
4. Sketch the graph of the curve y = Vĩ and the tangent line in the Cartesian Plane using
a scale of 1 unit = I cm. Show in your diagram the line segments dx, dy, and Ay,
similar to Figure 4.5.1. [Note: the curve is an upper semi-parabola whose vertex is at
the origin and concaving to the right. Use 0, 1, 4, and 9 as x-coordinates.]
As
inle
5. The radius of a sphere was measured and found to be 20 cm with a possible error in
the measurement of at most 0.05 cm. What is the maximum percentage error in using
this value of the radius to compute the volume of the sphere? The formula is
V =r where V is the volume and r the radius of the sphere.
6. Find the slope of the line tangent to the graph of the function y= x +3x+ 4 at x= 0.
Transcribed Image Text:4. Sketch the graph of the curve y = Vĩ and the tangent line in the Cartesian Plane using a scale of 1 unit = I cm. Show in your diagram the line segments dx, dy, and Ay, similar to Figure 4.5.1. [Note: the curve is an upper semi-parabola whose vertex is at the origin and concaving to the right. Use 0, 1, 4, and 9 as x-coordinates.] As inle 5. The radius of a sphere was measured and found to be 20 cm with a possible error in the measurement of at most 0.05 cm. What is the maximum percentage error in using this value of the radius to compute the volume of the sphere? The formula is V =r where V is the volume and r the radius of the sphere. 6. Find the slope of the line tangent to the graph of the function y= x +3x+ 4 at x= 0.
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