![]() ![]() A cricket produces 113 chirps per minute at 70 ° F and 153 chirps per minute at 80 ☏ħ. A cricket produces 113 chirps per minute at 70 ° F and 183 chirps per minute at 80 ☏īiologists have noticed that the chirping rate of crickets of certain species is related to temperature, and the relationship appears to be very nearly linear. Biologists have noticed that the chirping rate of crickets of certain species is related to temperature, and the relationship appears to be very nearly linear. (c) Express the distance d traveled in terms of the time(in hours) elapsed.Ħ. He passes Ann Arbor, 40 mi from Detroit at 9:48 PM. ![]() Jason leaves Detroit at 9:00 PM and drives at a constant speed west along I-96. (b) Express the distance d traveled in terms of the time(in hours) elapsed. He passes Ann Arbor, 40 mi from Detroit at 9:40 PM. ![]() What does it represent? The slope represents the car’s speed in miles per hour. (a) Express the distance d traveled in terms of the time(in hours) elapsed. He passes Ann Arbor, 40 mi from Detroit at 8:40 PM. Jason leaves Detroit at 8:00 PM and drives at a constant speed west along I-96. The relationship between (f) and Celsius (c) temperature scales is given by the linear function F = 9C/5 + 32.ĥ. (b) Use the equation to predict the average global surface temperature In 2010.Ĥ. (b) Use the equation to predict the average global surface temperature In 2080. The T-intercept is 8.75, which represents the average surface temperature in the year 1900. The slope is 0.01 which means that the average surface area temperature of the planet is increasing at a rate of 0.01 degree Celsius per year. They have modeled the temperature by the linear function T = 0.01t + 8.75, where T is temperature in Celsius and t represents years since 1900. Some scientists believe that the average surface temperature of the world has been rising steadily. (b) Use the equation to predict the average global surface temperature In 2030. The T-intercept is 8.55, which represents the average surface temperature in the year 1900. (a)What do the slope an T-intercept represent They have modeled the temperature by the linear function T = 0.01t + 8.55, where T is temperature in Celsius and t represents years since 1900. Find an expression for a cubic function f if f(3) = 24 and f(-1) = f(0) = f(4) = 0įind an expression for a cubic function f if f(3) = 72 and f(-1) = f(0) = f(4) = 0įind an expression for a cubic function f if f(1) = 8 and f(-1) = f(0) = f(2) = 0ģ. Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed length is pi/3 rad.2. Two sides of a triangle are 4m and 5m in length and the angle between them is increasing at a rate of 0.06 rad/s. (Round your answer to the nearest integer.)ġ0. If the water level is rising at a rate of 20 cm/min when the height of the water is 2m, find the rate at which water is being pumped into the tank. The tank has a height 6 m and the diameter at the top is 4 m. Water is leaking out of an inverted conical tank at a rate of 7,000 cm^3/min at the same time that water is being pumped into the tank at a constant rate. If a man 2 m tall walks away from the spotlight toward the building at a speed of 2.3 m/s, how fast is the length of his shadow on the building decreases when he is 4m from the building? (Round your answer to one decimal place.)ĩ. A spotlight on the ground shines on a wall 12 m away. How fast is the tip of his shadow moving when he is 45 ft from the pole?Ĩ. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along a straight path. A street light mounted at the top of a 15-ft-tall pole. If a snowball melts so that its surface area decreases at a rate of 2 cm^2/min, find the rate at which the diameter decreases when the diameter is 12 cm.ħ. Suppose y = sqrt(2x + 1), where x and y are functions of t.Ħ. How fast is the volume increasing when the diameter is 60 mm?ĥ. The radius of a sphere is increasing at a rate of 3 mm/s. ![]() How fast is the height of the water increasing?Ĥ. A cylindrical tank with a radius 5 m is being filled with water at rate of 2 m^3/min. When the length is 13 cm and the width is 9 cm, how fast is the area of the rectangle increasing?ģ. The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 8 cm/s. At what rate is the area of the square increasing when the area of the square is 25 cm^2?Ģ. Each side of a square is increasing at a rate of 2 cm/s. ![]()
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