rate of change
A box has a width of 15 inches and a length of 16 inches. The volume of the box is increasing at a rate of 569 cubic inches per second, with the width and length being held constant. What is the rate of change, in inches per second, of the height when the height is 6 inches?
Round your answer to the nearest hundredth. (Do not include any units in your answer).
Homework Answers
(1) A box has a height of 6 inches, a width of 4 inches, and a length of 10 inches (and therefore a volume of 240 cubic inches). The height is decreasing at a rate of 0.5 inches per minute, the width...
(1) A box has a height of 6 inches, a width of 4 inches, and a length of 10 inches (and therefore a volume of 240 cubic inches). The height is decreasing at a rate of 0.5 inches per minute, the width is increasing at a rate of 2 inches per minute, and the length is increasing at a rate of 1 inch per minute. At what rate is the volume changing? Car A travels East towards the intersection of...
Revised by Prof. Kostadinov, Fall 2015, Fall 2014, Fall 2013, Fall 2012, Fall 2011, Fall 2010 Revised by Prof. Africk and Prof. Kostadinov Fall 2015, Spring 2016, #1 Identify the horizontal a...
Revised by Prof. Kostadinov, Fall 2015, Fall 2014, Fall 2013, Fall 2012, Fall 2011, Fall 2010 Revised by Prof. Africk and Prof. Kostadinov Fall 2015, Spring 2016, #1 Identify the horizontal and vertical asymptotes of the following functions using the limit definitions: 2x2 o) yA- #2 Find the derivatives of the following functions using the definition of derivative: a) f(x)-2x-5x #3 Find the derivative v dr of the following functions, using the derivative rules: b) f(x)--2x +3x-4 #4 Find the...
(1 point) The radius of a right circular cone is increasing at a rate of 5...
(1 point) The radius of a right circular cone is increasing at a rate of 5 inches per second and its height is decreasing at a rate of 5 inches per second. At what rate is the volume of the cone changing when the radius is 10 inches and the height is 50 inches? cubic inches per second
A box currently has length and width of 10 inches and a height of 3 inches....
A box currently has length and width of 10 inches and a height of 3 inches. Use calculus to determine at what rate the height changes, if the length and width are decreasing at a rate of 2 inches per minute and the volume of the box is constant. (6 points)
solve all questions please 7. What is the difference of an angle that measures 80°, and...
solve all questions please
7. What is the difference of an angle that measures 80°, and an angle that measures 33° 52'27"? Express your answer in degrees, minutes and seconds. 8. What is the area of a parallelogram in square millimeters with a base that measures 98 millimeters and an altitude or height of 63 millimeters? 9. What is the volume, in cubic millimeters, of a rectangular mylar film eraser that measures 0.215 in by 1.15 in. by 0.740 in.?...
to one decimal place please. The radius of the circular base of a cylinder is increasing...
to one decimal place please.
The radius of the circular base of a cylinder is increasing at a rate of 4 inches per second. Find the rate of change of the volume when the radius is 3 inches and the height is three times the radius. Round your answer to one decimal place. The rate of change of the volume is Number Units
The radius of a right circular cone is increasing at a rate of 10 inches per...
The radius of a right circular cone is increasing at a rate of 10 inches per minute, and the height is decreasing at a rate of 4 inches per minute. What are the rates of change of the volume and the radius is 15 inches and the height is 45 inches? rate of change of the volume 13194.69 in3/min rate of change of the surface area 2402.85| in2/min
@ Sand is pouring out of a chute at a rate of 8 cubic feet per...
@ Sand is pouring out of a chute at a rate of 8 cubic feet per minute. It is landing in a pile that is (roughly) in the shape of a cone with the diameter always being twice the height. How fast is the diameter expanding when the diameter is 20 feet wide? How would the answer change if the diameter was always three times the height-and, everything else was the same? (Give exact answer, and approximate rounded to nearest...
The radius r of a sphere is increasing at the uniform rate of 0.3 inches per second
The radius r of a sphere is increasing at the uniform rate of 0.3 inches per second. At the instant when the surface area S becomes 100pi square inches, what is the rate of increase, in cubic inches per second, in the volume V?
Sketch this rate of change graph. I have the answer, I just need the graph. Thanks!
Sketch this rate of change graph. I have the answer, I just need
the graph. Thanks!
Show all work to receive full credit. Simplify answers when possible. (5 points) 1. A spherical balloon is inflated at the rate of 20 inches cubed per minute. What is the rate of change of the radius at the moment when the sphere has volume 36 cubic inches? (5 points) 2. Sketch. Label any asymptote(s) within the graph. 3 ven spnare : 36 in...
Revised by Prof. Kostadinov, Fall 2015, Fall 2014, Fall 2013, Fall 2012, Fall 2011, Fall 2010 Revised by Prof. Africk and Prof. Kostadinov Fall 2015, Spring 2016, #1 Identify the horizontal and vertical asymptotes of the following functions using the limit definitions: 2x2 o) yA- #2 Find the derivatives of the following functions using the definition of derivative: a) f(x)-2x-5x #3 Find the derivative v dr of the following functions, using the derivative rules: b) f(x)--2x +3x-4 #4 Find the...
(1 point) The radius of a right circular cone is increasing at a rate of 5 inches per second and its height is decreasing at a rate of 5 inches per second. At what rate is the volume of the cone changing when the radius is 10 inches and the height is 50 inches? cubic inches per second
solve all questions please
7. What is the difference of an angle that measures 80°, and an angle that measures 33° 52'27"? Express your answer in degrees, minutes and seconds. 8. What is the area of a parallelogram in square millimeters with a base that measures 98 millimeters and an altitude or height of 63 millimeters? 9. What is the volume, in cubic millimeters, of a rectangular mylar film eraser that measures 0.215 in by 1.15 in. by 0.740 in.?...
to one decimal place please.
The radius of the circular base of a cylinder is increasing at a rate of 4 inches per second. Find the rate of change of the volume when the radius is 3 inches and the height is three times the radius. Round your answer to one decimal place. The rate of change of the volume is Number Units
The radius of a right circular cone is increasing at a rate of 10 inches per minute, and the height is decreasing at a rate of 4 inches per minute. What are the rates of change of the volume and the radius is 15 inches and the height is 45 inches? rate of change of the volume 13194.69 in3/min rate of change of the surface area 2402.85| in2/min
@ Sand is pouring out of a chute at a rate of 8 cubic feet per minute. It is landing in a pile that is (roughly) in the shape of a cone with the diameter always being twice the height. How fast is the diameter expanding when the diameter is 20 feet wide? How would the answer change if the diameter was always three times the height-and, everything else was the same? (Give exact answer, and approximate rounded to nearest...
Sketch this rate of change graph. I have the answer, I just need
the graph. Thanks!
Show all work to receive full credit. Simplify answers when possible. (5 points) 1. A spherical balloon is inflated at the rate of 20 inches cubed per minute. What is the rate of change of the radius at the moment when the sphere has volume 36 cubic inches? (5 points) 2. Sketch. Label any asymptote(s) within the graph. 3 ven spnare : 36 in...
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