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Physics In Exercises 67-70, (a) use the position equation
An object is dropped from a height of
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- Physics In Exercises 67-70, (a) use the position equation s=16t2+v0t+s0 to write a function that represents the situation, (b) use a graphing utility to graph the function, (c) find the average rate of change of the function from t1 to t2, (d) describe the slope of the secant line through t1 and t2, (e) find the equation of the secant line through t1 and t2, and (f ) graph the secant line in the same viewing window as your position function. An object is thrown upward from a height of 6 feet at a velocity of 64 feet per second. t1=0,t2=3arrow_forwardThe point-slope form of the equation of the line with slope 3 passing through the point 1, 2 is _.arrow_forwardTell whether it is a function or not a functionarrow_forward
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- A tractor has an initial price of $8000.00 and sells for $1100.00 after 23 years. Assume that the tractor's value depreciates linearly with the passing years. (a) Let V represent the tractor's value in dollars and let t represent the number of years since the tractor was purchased. Write a formula to express the tractor's value as a function of time: V(t) = ... ... (b) Horizontal intercept of the value function V(t): ... Vertical intercept of the value function V(t):arrow_forwardThe ordered pairs below give the intensities y in microwatts per square centimeter of the light measured by a light probe located x centimeters from a light source.A model that approximates the data is y = 171.33/x2. (a) Use a graphing utility to plot the data points and the model in the same viewing window. (b) Use the model to approximate the light intensity 25 centimeters from the light source.arrow_forwardThe temperature at which water starts to boil is called its boiling point and is linearly related to the altitude. Water boils at 212°F at sea level and at 193.6°F at an altitude of 10,000 feet. (a) Find a relationship of the form T = mx + b where T is degrees Fahrenheit and x is altitude in thousands of feet. (b) Find the boiling point at an altitude of 4,300 feet. (c) Find the altitude if the boiling point is 197.5°F. (d) Graph T and illustrate the answers to (b) and (c) on the graph. (a) Choose the correct relationship below. O A. T = 1.84x+212 O B. T = 1.84x +212 O C. T = 1.84x-212 O D. T= 1.84x - 212arrow_forward
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