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 :

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

What happens to the decimal point when we multiply a whole number by 100?

Select the correct answer. When graphing an inequality, the boundary line needs to be graphed first. Which graph correctly shows the boundary line of the inequ

If a number y has z positive integers factors, then y and 2z integer factors. True or false?

how much do actors make in a year?

Hi guys mind helping me with this

Indices Home Learning Simplify the following, leaving your answers in index notation. 1. (39) 2. Zf x 9f 38 3. 124 x 1210 4. (6m) 5. 252-3 6. 42g? = 7g? 7. 39 x

Someone help me pls! You can buy 3 apples at Quick Mart for $1.17. You can buy five of the same apples at Shop & Save for $2.40 How much will you save per a

Solve: y = -7(-13). solve y

The Ring of Fire is a long, narrow band of volcanos surrounding the Atlantic Ocean that was caused by tectonic plates. True or False

Use the graph below to answer the question. On a coordinate plane, a line goes through (0, 0) and (3, negative 3). What is the slope of a line that is perpendic