Ra6yjesjohnnMikiit Ra6yjesjohnnMikiit

10-03-2017
Mathematics

contestada

If the line 3x-4y = 0 is tangent in the first quadrant to the curve y = x^3 + k, then k is

Respuesta :

apologiabiology apologiabiology

10-03-2017

find the slope

3x-4y=0
3x=4y
y=3/4x
slope=3/4

take derivitive of y=x^3+k
y=3x^2

that is slope at mystery point
3x^2=3/4
x^2=1/4
x=1/2
input
y=3/4x
y=3/8
so

3/8=(1/2)^3+k
3/8=1/8+k
2/8=k
1/4=k

k=1/4

Answer Link

Otras preguntas

we have two numbers, one is 28 more than the other, and the sum is 152 find the values of both numbers?

what is the coordinate (10,2) multiplied by two fifths equal

a circle circumference is 600 M. what is the good approximation of the circle area

almost half of all students on school teams or clubs report being _____.

Find the slope and reduce.P=(-5, 2) Q=(-3, 6)

Please describe how does your experience with food insecurity impact your education? (300 words.)

Most organisms break down sugar to produce usable energy through the process of

The equation 2/5d-1=3/5d-3 represents the number of dimes

The population of a certain inner-city area is estimated to be declining according to the model P(t)=331,000e−0.017t, where t is the number of years from the pr

Can some one give me an explanation and answer ASAP, thanks.

good job