Balcony-sized solar cookers have been designed for families living in India. The top of a dish has a diameter of 140 cm. The sun's rays reflect off the parabolic mirror toward the "cooker," which is placed 28 cm from the base. a) Find an equation that models a cross-section of the solar cooker. Assume that the vertex of the parabolic mirror is the origin of the coordinate plane, and that the parabola opens to the right b) Use the equation found in part (a) to find the depth of the cooker. OA. (a) y2 = -212x, (b) 39.75 cm OB. (a) y2 =120x, (b) 53.75 cm OC. (a) y2 =112x, (b) 43.75 cm OD. (a) y2 =122x, (b) 33.75 cm OE. (a) y2 =102x, (b) 40.75 cm

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Chapter2: Second-order Linear Odes
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QUESTION 49
Balcony-sized solar cookers have been designed for families living in
India. The top of a dish has a diameter of 140 cm. The sun's rays reflect off
the parabolic mirror toward the "cooker,"
which is placed 28 cm from the base.
a) Find an equation that models a cross-section of the solar cooker.
Assume that the vertex of the parabolic mirror is the origin of the
coordinate plane, and that the parabola opens to the right
b) Use the equation found in part (a) to find the depth of the cooker.
O A. (a) y2 = -212x, (b) 39.75 cm
O B. (a) y2 =120x, (b) 53.75 cm
OC. (a) y2 =112x, (b) 43.75 cm
O D. (a) y2 =122x, (b) 33.75 cm
O E. (a) y2 =102x, (b) 40.75 cm
Transcribed Image Text:QUESTION 49 Balcony-sized solar cookers have been designed for families living in India. The top of a dish has a diameter of 140 cm. The sun's rays reflect off the parabolic mirror toward the "cooker," which is placed 28 cm from the base. a) Find an equation that models a cross-section of the solar cooker. Assume that the vertex of the parabolic mirror is the origin of the coordinate plane, and that the parabola opens to the right b) Use the equation found in part (a) to find the depth of the cooker. O A. (a) y2 = -212x, (b) 39.75 cm O B. (a) y2 =120x, (b) 53.75 cm OC. (a) y2 =112x, (b) 43.75 cm O D. (a) y2 =122x, (b) 33.75 cm O E. (a) y2 =102x, (b) 40.75 cm
QUESTION 48
A half-ellipse tunnel as given in the
picture is located below a bridge. The
length and height of the tunnel is 13
meter and 8 meter consecutively. The
tunnel will be opened for all kinds of
vehicle. (a) Is it possible for a 3.5-meter-
wide and 5.5-meter-high truck to pass
through the tunnel without getting a
crash? (b) What is the maximum height of a truck that can pass through
the tunnel?
O A. (a) No, (b) 6.5 m
O B. (a) cannot be determined, (b) 6.8 m
O C. (a) yes, (b) 5.8 m
O D. (a) yes, (b) 7.1 m
O E. (a) No, (b) 6.3 m
Transcribed Image Text:QUESTION 48 A half-ellipse tunnel as given in the picture is located below a bridge. The length and height of the tunnel is 13 meter and 8 meter consecutively. The tunnel will be opened for all kinds of vehicle. (a) Is it possible for a 3.5-meter- wide and 5.5-meter-high truck to pass through the tunnel without getting a crash? (b) What is the maximum height of a truck that can pass through the tunnel? O A. (a) No, (b) 6.5 m O B. (a) cannot be determined, (b) 6.8 m O C. (a) yes, (b) 5.8 m O D. (a) yes, (b) 7.1 m O E. (a) No, (b) 6.3 m
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