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?
Mathematics For Machine Technology
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ISBN:9781337798310
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Chapter87: An Introduction To G- And M-codes For Cnc Programming
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc31d976c-acd4-451e-8eb9-fde305025b60%2Fe2380a17-38a5-4d38-ace6-d2a6be4d9feb%2Fz1ibiz_processed.jpeg&w=3840&q=75)
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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