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2. Below is part of the graph of 5r³y-3ry? + y³ = 6. If cord pugin points can tangent line Lex)= f'ca)(x-qa) + fea) Lex)- fra) ef'ca) (x-a) Y-b =mcx-a) (a) Verify that (1,2) is a point on this curve. (b) There's a nearby point on the curve whose coordinates are (1.07, u). What is an approxi- mate value for u? (c) There's a nearby point on the curve whose coordinates are (.98, v). What is an approximate value for v?

2. Below is part of the graph of 5r³y-3ry? + y³ = 6. If cord pugin points can tangent line Lex)= f'ca)(x-qa) + fea) Lex)- fra) ef'ca) (x-a) Y-b =mcx-a) (a) Verify that (1,2) is a point on this curve. (b) There's a nearby point on the curve whose coordinates are (1.07, u). What is an approxi- mate value for u? (c) There's a nearby point on the curve whose coordinates are (.98, v). What is an approximate value for v?

Elementary Geometry for College Students
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter7: Locus And Concurrence
Section7.CT: Test
Problem 5CT: Describe the locus of points in space that are at a distance of 3 cm from point P....
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2. Below is part of the graph of 5a°y- 3ry? + y³ = 6. If cord pngin points can us tangent line Lex)=f'ca)(x-a) +fea) Lex) - fra) <f'ca) (x-a) Y-b =m (x- a) (a) Verify that (1, 2) is a point on this curve. (b) There's a nearby point on the curve whose coordinates are (1.07, u). What is an approxi- mate value for u? (c) There's a nearby point on the curve whose coordinates are (.98, v). What is an approximate value for v? (d) There's a nearby point on the curve whose coordinates are (w, 2.04). What is an approxi- mate value for w? (e) Is the graph consistent with your answers? Hint: Compute a derivative and use linear approximation.
Transcribed Image Text:2. Below is part of the graph of 5a°y- 3ry? + y³ = 6. If cord pngin points can us tangent line Lex)=f'ca)(x-a) +fea) Lex) - fra) <f'ca) (x-a) Y-b =m (x- a) (a) Verify that (1, 2) is a point on this curve. (b) There's a nearby point on the curve whose coordinates are (1.07, u). What is an approxi- mate value for u? (c) There's a nearby point on the curve whose coordinates are (.98, v). What is an approximate value for v? (d) There's a nearby point on the curve whose coordinates are (w, 2.04). What is an approxi- mate value for w? (e) Is the graph consistent with your answers? Hint: Compute a derivative and use linear approximation.
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