Description4/4/23, 10:31 AM

1.

[1.5/3 Points]

MY NOTES

HW. 8 Section 10.1 (Calculus 2) – Math 280 Spring 2023, Spring 2023 | WebAssign

DETAILS

PREVIOUS ANSWERS

ASK YOUR TEACHER

SCALCET8 10.1.007.

PRACTICE ANOTHER

Consider the parametric equations below.

x = t2 − 1,

y = t + 2,

−3 ≤ t ≤ 3

(a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as

t increases.

(b) Eliminate the parameter to find a Cartesian equation of the curve.

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HW. 8 Section 10.1 (Calculus 2) – Math 280 Spring 2023, Spring 2023 | WebAssign

for −1 ≤ y ≤ 5

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3/17

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2.

HW. 8 Section 10.1 (Calculus 2) – Math 280 Spring 2023, Spring 2023 | WebAssign

[1/2 Points]

DETAILS

PREVIOUS ANSWERS

MY NOTES

ASK YOUR TEACHER

SCALCET8 10.1.009.

PRACTICE ANOTHER

Consider the parametric equations below.

x=

t,

y=8−t

(a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as

t increases.

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4/17

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HW. 8 Section 10.1 (Calculus 2) – Math 280 Spring 2023, Spring 2023 | WebAssign

(b) Eliminate the parameter to find a Cartesian equation of the curve.

for x ≥ 0

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3.

HW. 8 Section 10.1 (Calculus 2) – Math 280 Spring 2023, Spring 2023 | WebAssign

[1.5/3 Points]

MY NOTES

DETAILS

PREVIOUS ANSWERS

ASK YOUR TEACHER

SCALCET8 10.1.010.

PRACTICE ANOTHER

Consider the parametric equations below.

x = t 2,

y = t9

(a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as

t increases.

(b) Eliminate the parameter to find a Cartesian equation of the curve.

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6/17

4/4/23, 10:31 AM

HW. 8 Section 10.1 (Calculus 2) – Math 280 Spring 2023, Spring 2023 | WebAssign

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7/17

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4.

HW. 8 Section 10.1 (Calculus 2) – Math 280 Spring 2023, Spring 2023 | WebAssign

[1/2 Points]

DETAILS

PREVIOUS ANSWERS

MY NOTES

ASK YOUR TEACHER

SCALCET8 10.1.014.

PRACTICE ANOTHER

Consider the following.

x = et,

y = e−5t

(a) Eliminate the parameter to find a Cartesian equation of the curve.

(b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases.

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8/17

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HW. 8 Section 10.1 (Calculus 2) – Math 280 Spring 2023, Spring 2023 | WebAssign

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5.

[1.5/3 Points]

MY NOTES

HW. 8 Section 10.1 (Calculus 2) – Math 280 Spring 2023, Spring 2023 | WebAssign

DETAILS

PREVIOUS ANSWERS

ASK YOUR TEACHER

SCALCET8 10.1.501.XP.

PRACTICE ANOTHER

Consider the following equations.

x = 1 − t 2,

y = t − 4,

−2 ≤ t ≤ 2

(a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as

t increases.

(b) Eliminate the parameter to find a Cartesian equation of the curve.

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10/17

4/4/23, 10:31 AM

HW. 8 Section 10.1 (Calculus 2) – Math 280 Spring 2023, Spring 2023 | WebAssign

for −6 ≤ y ≤ −2

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11/17

4/4/23, 10:31 AM

6.

HW. 8 Section 10.1 (Calculus 2) – Math 280 Spring 2023, Spring 2023 | WebAssign

[1/2 Points]

DETAILS

PREVIOUS ANSWERS

MY NOTES

ASK YOUR TEACHER

SCALCET8 10.1.502.XP.

PRACTICE ANOTHER

Consider the following.

x = et − 7,

y = e2t

(a) Eliminate the parameter to find a Cartesian equation of the curve.

(b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases.

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12/17

4/4/23, 10:31 AM

HW. 8 Section 10.1 (Calculus 2) – Math 280 Spring 2023, Spring 2023 | WebAssign

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13/17

4/4/23, 10:31 AM

7.

HW. 8 Section 10.1 (Calculus 2) – Math 280 Spring 2023, Spring 2023 | WebAssign

[1/2 Points]

DETAILS

PREVIOUS ANSWERS

MY NOTES

ASK YOUR TEACHER

SCALCET8 10.1.510.XP.

Consider the following.

x = sin( ),

y = cos( ),

0≤ ≤

(a) Eliminate the parameter to find a Cartesian equation of the curve.

(b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases.

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14/17

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HW. 8 Section 10.1 (Calculus 2) – Math 280 Spring 2023, Spring 2023 | WebAssign

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8.

HW. 8 Section 10.1 (Calculus 2) – Math 280 Spring 2023, Spring 2023 | WebAssign

[1.5/3 Points]

MY NOTES

DETAILS

PREVIOUS ANSWERS

ASK YOUR TEACHER

SCALCET8 10.1.517.XP.

PRACTICE ANOTHER

Consider the parametric equations below.

x = 2 + t,

y = 1 − 4t ,

−2 ≤ t ≤ 3

(a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as

t increases.

(b) Eliminate the parameter to find a Cartesian equation of the curve.

for 0 ≤ x ≤ 5

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16/17

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HW. 8 Section 10.1 (Calculus 2) – Math 280 Spring 2023, Spring 2023 | WebAssign

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