Determining application of mean value theorem

Assignment Help Mathematics

Reference no: EM13127085

Show that the mean value theorem applies or does not apply to the following.

f(x)=sqrt(25-x^2), [-4,4]. State the conditions clearly, and, if appropriate, find the c guarenteed by the theorem.

Reference no: EM13127085

Questions Cloud

What mass of sucrose should be combined : What mass of sucrose should be combined with 467 g of water to make a solution with an osmotic pressure of 8.30 atm at 300 K? (Assume the density of the solution to be equal to the density of the solvent.)

Information regarding intermediate value theorem : Determine if the following conforms to the intermediate value theorem. Clearly give the conditions and, if appropriate, find an appropriate value for c.

Determine the equilibrium price and quantity : Calculate the equilibrium price and quantity. Sketch the supply and demand curves on a graph indicating the equilibrium.

How much air is required in one hour to completely react : How much air is required in one hour to completely react all of the galena? Air is 21% oxygen. C. Assuming the exit temperature of the flue gas is 650 ºC and the barometric pressure is 0.9 atm, what is the volume of the sulfur dioxide produced?

Determining application of mean value theorem : Show that the mean value theorem applies or does not apply to the following. f(x)=sqrt(25-x^2), [-4,4]. State the conditions clearly, and, if appropriate, find the c guarenteed by the theorem.

Illustrate what is the earnings per share : A Corp. reported $120,000 of net income and has outstanding 10,000 shares of $1 preferred stock, par of $50, and 50,000 shares of $100 par common stock. Illustrate what is the earnings per share?

What is the vapor pressure : What is the vapor pressure (in mm Hg}) of a solution of 15.5g of glucose in 82.0g of methanol at 27 degrees C? The vapor pressure of pure methanol at 27 degrees C is 140 mm Hg.

Define calorimeters and heat capacity : Calorimeters and heat capacity, If 2.500 g of Mg is burned in a constant volume calorimeter with a heat capacity of 1.10 kJ/degrees Celsius containing 1.500 L

Discussion on rolle theorem : Let f be continuous on the closed interval [a,b] and differentiable on the open interval (a,b). Also, suppose that f(a) = f(b) and that c is a real number in the interval such that f'(c) = 0.

User Account

All Pages