17. Use Figure 12 to estimate dT/dh at h = 30 and 70, where T is atmospheric temperature (in degrees Celsius) and h is altitude (in kilometers). Where is dT /dh equal to zero? T(C) 250- 200- 150- 100- 50- 0- -50- -100- ++h (km) 10 50 100 150 FIGURE 12 Atmospheric temperature versus altitude.

Q: What is the derivative of y = cos² x?

A: According to the chain rule of differentiation:

Q: QUESTION 2 Use differentials to estimate v8.99 + (8.99)² correct to two decimal places.

A:

Q: oblem: After being built, a car must be painted. The revenue, R, in dollars when x cars are painted…

A: In this question, concept of average and instantaneous change is applied. Using the slope formula…

Q: 0.3 Suppose the average daily metabolic rate for certain types of animals can be expressed as a…

A:

Q: The rate of change of a quantity with unit q as a linear function of time is given as: time/s: 0…

A:

Q: Emissions of sulfur dioxide by industry set off chemical changes in the atmosphere that result in…

A: Given Mean=5.43 Standard deviations=0.54

Q: The rate of change of the variable y in terms of another variable t is equal to the expression 5t4 -…

A: Given: The rate of change of the variable y in terms of another variable t is equal to the…

Q: 11. A private plane's altitude (in feet) at x minutes after take-off (from sea level) is given by…

A: The rate of change of a function f(x) with respect to x is f'(x)

Q: If P'(t) represents the rate of change of the population of a small city in Indonesia (where t is…

A: P'(t) is the rate of change of population which means how much population is changing per year after…

Q: ¹) If a rock is thrown upward on the planet Mars with a velocity of 10m/s, its height in meters…

A: Note: Hi! Thank you for the question, as per the honor code, we are allowed to answer three…

Q: 2. From 2007 to 2014, there was a dramatic increase of smartphone sales. The number of smartphones…

A: Given:- The number of smartphones in millions sold to end users from 2007 to 2014 is modeled by the…

Q: For which value of x is the instantaneous rate of change in x)=x²+x-1 negative? Ox=-2 O x=-1 x=0 x=1

A:

Q: 36. When a cold yam is put into a hot oven to bake, the tem- perature of the yam rises. The rate, R…

A: According to Newton's Law of Heating, the rate at which the temperature of the yam rises,  is…

Q: 4. Find the average rate of change (slope) of the function 2 from x = 1 to x = 3: f(x) <= x 3x - X 1…

A:

Q: The period T of a pendulum is determined by T = 27 with L the length of the pendulum and g the…

A:

Q: 1. What is the instantaneous slope of y = 5 at x = 5?

A:

Q: 8. The rate of electric vehicle purchases in the US from 2012 to 2024 can be modeled using the…

A:

Q: Problem: After being built, a car must be painted. The revenue, R, in dollars, when x cars are…

A: Given revenue function is  R(x)=1000x-0.01x2

Q: The table shows the position of a motorcyclist after accelerating from rest. t (seconds) s (feet) 0…

A: Introduction: In contrast to instantaneous velocity, which is determined by the slope of the tangent…

Q: B- A gradient of temperature degree shows increasing temperature by 1 degree each 2 hours. The…

A: A gradient temperature degree shows increasing temperature by 1 degree each 2 hours. The initial…

Q: ) Determines the average rate of population variation between 1990 and 1995. B) Determines the…

A: Follow the procedure given below.

Q: Question1. Based on our discussion, explain the difference between Z-value and T-value in details

A:

Q: Rank the following numerical values from greatest (most positive) to least (most negative). Use the…

A: Note that an instantaneous rate of change and the slope of the tangent to the graph at a specified…