che0319
che0319 che0319
  • 11-06-2016
  • Mathematics
contestada

For what values of a and b is the line 3 x + y = b tangent to the curve y = a x^{3} when x = -2?

Respuesta :

caylus
caylus caylus
  • 11-06-2016
Hello,

The tangent point T is (-2,a(-2)^3) or (-2,b-3*(-2))
The slope of the curve in T is -3 (slope of the line)

y=ax^3==>y'=3ax²==>y'(-2)=3*a*4=-3 ==>4a=-1 ==>a=-1/4

T=(-2,-1/4*(-2)^3))=(-2,2)

b-3*(-2)=2==>b=2-6==>b=-4



Answer Link

Otras preguntas

Hormones can be divided into different groups based on their chemistry. these categories include
Job descriptions are a key prerequisite for any performance management system because
What type of microscope is used to see the external surfaces of cells to determine morphology?
Why was the average life expectancy in the 17th-century chesapeake so low?
One side of the triangle is 8 in, and the other two sides are equal to a positive whole number of inches. What is the smallest possible perimeter of the triangl
True or false: capitalism is a competitive economic system in which private citizens own the factors of production
Which one of these survey methods typically has the lowest nonresponse rate?
The finite sequence whose general term is an = 0.17n2 - 1.02n + 6.67 where n = 1, 2, 3, ..., 9 models the total operating costs, in millions of dollars, for a c
HIV antibodies: are present in all people. indicate an HIV infection. can be indicative of a liver disorder.
Simple random sampling uses a sample of size n from a population of size n to obtain data that can be used to make inferences about the characteristics of a pop