Find the area of the region bounded by the parabola

Reference no: EM13181195

a.Find the area of the region bounded by the parabola y = 5x2, the tangent line to this parabola at (4, 80), and the x-axis.

b.Find the number b such that the line y = b divides the region bounded by the curves y = 9x2 and y = 1 into two regions with equal area. (Round your answer to two decimal places.)

Reference no: EM13181195

Questions Cloud

Explain what is oxidized and what is reduced : For an oxidation and reduction reaction, indicate what is oxidized and what is reduced in the following reaction.

Find the height of the courthouse to the nearest foot : A surveyor is 305 ft from the base of the new courthouse. Her angle-measuring device is 5 ft above the ground. The angle of elevation to the top of the courthouse is 42º. Find the height of the courthouse to the nearest foot.

Educational professionals overcome the problem : How can educational professionals overcome the problem of curriculum match in the diagnostic assessment of mathematical competence?

Calculate his expected loss : If Roger could insure himself fully against the loss and the insurance is actuarially fair. d) What is the fair premium for his risk? e) Calculate his utility gain due to insurance. f) What value for the premium (instead of a fair premium would cause..

Find the area of the region bounded by the parabola : Find the number b such that the line y = b divides the region bounded by the curves y = 9x2 and y = 1 into two regions with equal area. (Round your answer to two decimal places.)

Formula for the marginal rate of substitution in consumption : Suppose an investor has the utility function U(R,s) = R - 0.3s^2 (Here, R denotes the expected rate of return (R) of their investment portfolio and s denotes the risk associated with that portfolio, but this information is not necessary to solve ..

State the linear plot of the half life : The relationship of [A]t / [A]o = 0.50^n, where n=number of half lives. n = I understand that the linear plot of 1/[C4H6] means second order.. but i do not understand how to calculate the half life from this information for part b.

Explain electron-deficient species as a hydrogen ion : Although the double bond, in total, is stronger than a single bond, the pi bond itself is weaker and can react with electron-deficient species such as a hydrogen ion.

State sodium hydroxide solution for neurtalization : sodium hydroxide solution for neurtalization to a phenolphthalein end point, calculate the molarity of the phosphoric acid.

User Account

All Pages