تكلم مع الذكاء الاصطناعي
Deck 10: Section 2: Conics, Parametric Equations, and Polar Coordinates
ملء الشاشة (f)
سؤال
Identify any points at which the Folium of Descartes 
is not smooth. Round your answer to two decimal places, if necessary.
A) not smooth when
B) not smooth when
C) not smooth when
D) smooth everywhere
E) not smooth when
is not smooth. Round your answer to two decimal places, if necessary.A) not smooth when
B) not smooth when
C) not smooth when
D) smooth everywhere
E) not smooth when
سؤال
Sketch the curve represented by the parametric equations, and write the corresponding rectangular equation by eliminating the parameter. 
A)
B)
C)
D)
E) none of the above
A)
B)
C)
D)
E) none of the above
سؤال
Sketch the curve represented by the parametric equations 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
Find a set of parametric equations for the rectangular equation 
that satisfies the condition 
at the point 
.
A)
B)
C)
D)
E)
that satisfies the condition at the point .A)
B)
C)
D)
E)
سؤال
Write the corresponding rectangular equation for the curve represented by the parametric equations 
by eliminating the parameter.
A)
B)
C)
D)
E)
by eliminating the parameter.A)
B)
C)
D)
E)
سؤال
Use the result, "the set of parametric equations for the circle is 
" to find a set of parametric equations for the circle with a center 
and radius 
.
A)
B)
C)
D)
E)
" to find a set of parametric equations for the circle with a center and radius .A)
B)
C)
D)
E)
سؤال
Use the result, "the set of parametric equations for the line passing through 
and 
is 
" to find a set of parametric equations for the line passing through 
and 
.
A)
B)
C)
D)
E)
and is " to find a set of parametric equations for the line passing through and .A)
B)
C)
D)
E)
سؤال
The parametric equations for the path of a projectile launched at a height h feet above the ground, at an angle 
with the horizontal and having an initial velocity of 
feet per second is given by 
and 
. The center field fence in a ballpark is 
feet high and 
feet from home plate. The ball is hit 3 feet above the ground. It leaves the bat at an angle of 
degrees with the horizontal at a speed of 100 miles per hour as shown in the figure. Find the minimum angle at which the ball must leave the bat in order for the hit to be a home run using the parametric equations 
and 
. Round your answer to one decimal place. 
A)
B)
C)
D)
E)
with the horizontal and having an initial velocity of feet per second is given by and . The center field fence in a ballpark is feet high and feet from home plate. The ball is hit 3 feet above the ground. It leaves the bat at an angle of degrees with the horizontal at a speed of 100 miles per hour as shown in the figure. Find the minimum angle at which the ball must leave the bat in order for the hit to be a home run using the parametric equations and . Round your answer to one decimal place. A)
B)
C)
D)
E)
سؤال
Find a set of parametric equations for the rectangular equation 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
Find a set of parametric equations for the rectangular equation 
that satisfies the condition 
at the point 
.
A)
B)
C)
D)
E)
that satisfies the condition at the point .A)
B)
C)
D)
E)
سؤال
Write the corresponding rectangular equation for the curve represented by the parametric equations 
by eliminating the parameter.
A)
B)
C)
D)
E)
by eliminating the parameter.A)
B)
C)
D)
E)
سؤال
Sketch the curve represented by the parametric equations, and write the corresponding rectangular equation by eliminating the parameter. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Write the corresponding rectangular equation for the curve represented by the parametric equation 
by eliminating the parameter.
A)
B)
C)
D)
E)
by eliminating the parameter.A)
B)
C)
D)
E)
سؤال
Sketch the curve represented by the parametric equations 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
The parametric equations for the path of a projectile launched at a height h feet above the ground, at an angle 
with the horizontal and having an initial velocity of 
feet per second is given by 
and 
. The center field fence in a ballpark is 
feet high and 
feet from home plate. The ball is hit 2 feet above the ground. It leaves the bat at an angle of 
degrees with the horizontal at a speed of 100 miles per hour as shown in the figure. Write a set of parametric equations for the path of the ball. 
A)
B)
C)
D)
E)
with the horizontal and having an initial velocity of feet per second is given by and . The center field fence in a ballpark is feet high and feet from home plate. The ball is hit 2 feet above the ground. It leaves the bat at an angle of degrees with the horizontal at a speed of 100 miles per hour as shown in the figure. Write a set of parametric equations for the path of the ball. A)
B)
C)
D)
E)
سؤال
Use the result, "the set of parametric equations for the ellipse is 
" to find a set of parametric equations for the ellipse with vertices 
and 
and with foci at 
and 
.
A)
B)
C)
D)
E)
" to find a set of parametric equations for the ellipse with vertices and and with foci at and .A)
B)
C)
D)
E)
سؤال
Identify any points at which the cycloid 
is not smooth.
A) not smooth when
B) smooth everywhere
C) not smooth when
D) not smooth when
E) not smooth when
is not smooth.A) not smooth when
B) smooth everywhere
C) not smooth when
D) not smooth when
E) not smooth when
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العب
ملء الشاشة (f)
Deck 10: Section 2: Conics, Parametric Equations, and Polar Coordinates
1
Identify any points at which the Folium of Descartes is not smooth. Round your answer to two decimal places, if necessary.
A) not smooth when
B) not smooth when
C) not smooth when
D) smooth everywhere
E) not smooth when
is not smooth. Round your answer to two decimal places, if necessary.A) not smooth when
B) not smooth when
C) not smooth when
D) smooth everywhere
E) not smooth when
smooth everywhere
2
Sketch the curve represented by the parametric equations, and write the corresponding rectangular equation by eliminating the parameter.
A)
B)
C)
D)
E) none of the above
A)
B)
C)
D)
E) none of the above
none of the above
3
Sketch the curve represented by the parametric equations .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
4
Find a set of parametric equations for the rectangular equation that satisfies the condition at the point .
A)
B)
C)
D)
E)
that satisfies the condition at the point .A)
B)
C)
D)
E)
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فتح الحزمة
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5
Write the corresponding rectangular equation for the curve represented by the parametric equations by eliminating the parameter.
A)
B)
C)
D)
E)
by eliminating the parameter.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 17 في هذه المجموعة.
فتح الحزمة
k this deck
6
Use the result, "the set of parametric equations for the circle is " to find a set of parametric equations for the circle with a center and radius .
A)
B)
C)
D)
E)
" to find a set of parametric equations for the circle with a center and radius .A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 17 في هذه المجموعة.
فتح الحزمة
k this deck
7
Use the result, "the set of parametric equations for the line passing through and is " to find a set of parametric equations for the line passing through and .
A)
B)
C)
D)
E)
and is " to find a set of parametric equations for the line passing through and .A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 17 في هذه المجموعة.
فتح الحزمة
k this deck
8
The parametric equations for the path of a projectile launched at a height h feet above the ground, at an angle with the horizontal and having an initial velocity of feet per second is given by and . The center field fence in a ballpark is feet high and feet from home plate. The ball is hit 3 feet above the ground. It leaves the bat at an angle of degrees with the horizontal at a speed of 100 miles per hour as shown in the figure. Find the minimum angle at which the ball must leave the bat in order for the hit to be a home run using the parametric equations and . Round your answer to one decimal place.
A)
B)
C)
D)
E)
with the horizontal and having an initial velocity of feet per second is given by and . The center field fence in a ballpark is feet high and feet from home plate. The ball is hit 3 feet above the ground. It leaves the bat at an angle of degrees with the horizontal at a speed of 100 miles per hour as shown in the figure. Find the minimum angle at which the ball must leave the bat in order for the hit to be a home run using the parametric equations and . Round your answer to one decimal place. A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 17 في هذه المجموعة.
فتح الحزمة
k this deck
9
Find a set of parametric equations for the rectangular equation .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 17 في هذه المجموعة.
فتح الحزمة
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10
Find a set of parametric equations for the rectangular equation that satisfies the condition at the point .
A)
B)
C)
D)
E)
that satisfies the condition at the point .A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 17 في هذه المجموعة.
فتح الحزمة
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11
Write the corresponding rectangular equation for the curve represented by the parametric equations by eliminating the parameter.
A)
B)
C)
D)
E)
by eliminating the parameter.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 17 في هذه المجموعة.
فتح الحزمة
k this deck
12
Sketch the curve represented by the parametric equations, and write the corresponding rectangular equation by eliminating the parameter.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 17 في هذه المجموعة.
فتح الحزمة
k this deck
13
Write the corresponding rectangular equation for the curve represented by the parametric equation by eliminating the parameter.
A)
B)
C)
D)
E)
by eliminating the parameter.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 17 في هذه المجموعة.
فتح الحزمة
k this deck
14
Sketch the curve represented by the parametric equations .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 17 في هذه المجموعة.
فتح الحزمة
k this deck
15
The parametric equations for the path of a projectile launched at a height h feet above the ground, at an angle with the horizontal and having an initial velocity of feet per second is given by and . The center field fence in a ballpark is feet high and feet from home plate. The ball is hit 2 feet above the ground. It leaves the bat at an angle of degrees with the horizontal at a speed of 100 miles per hour as shown in the figure. Write a set of parametric equations for the path of the ball.
A)
B)
C)
D)
E)
with the horizontal and having an initial velocity of feet per second is given by and . The center field fence in a ballpark is feet high and feet from home plate. The ball is hit 2 feet above the ground. It leaves the bat at an angle of degrees with the horizontal at a speed of 100 miles per hour as shown in the figure. Write a set of parametric equations for the path of the ball. A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 17 في هذه المجموعة.
فتح الحزمة
k this deck
16
Use the result, "the set of parametric equations for the ellipse is " to find a set of parametric equations for the ellipse with vertices and and with foci at and .
A)
B)
C)
D)
E)
" to find a set of parametric equations for the ellipse with vertices and and with foci at and .A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 17 في هذه المجموعة.
فتح الحزمة
k this deck
17
Identify any points at which the cycloid is not smooth.
A) not smooth when
B) smooth everywhere
C) not smooth when
D) not smooth when
E) not smooth when
is not smooth.A) not smooth when
B) smooth everywhere
C) not smooth when
D) not smooth when
E) not smooth when
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 17 في هذه المجموعة.
فتح الحزمة
k this deck
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افتح القفل للوصول البطاقات البالغ عددها 17 في هذه المجموعة.
