D. if something is directly proportional then if something happens to X the exact same thing needs to happen to Y
Answer:
a) 13 m/s
b) (15 + h) m/s
c) 15 m/s
Step-by-step explanation:
if the location is
y=x²+3*x
then the average velocity from 3 to 7 is
Δy/Δx=[y(7)-y(3)]/(7-3)=[7²+3*7- (3²+3*3)]/4= 13 m/s
then the average velocity from x=6 to to x=6+h
Δy/Δx=[y(6+h)-y(6)]/(6+h-6)=[(6+h)²+3*(6+h)- (6²+3*6)]/h= (2*6*h+3*h+h²)/h=2*6+3= (15 + h) m/s
the instantaneous velocity can be found taking the limit of Δy/Δx when h→0. Then
when h→0 , limit Δy/Δx= (15 + h) m/s = 15 m/s
then v= 15 m/s
also can be found taking the derivative of y in x=6
v=dy/dx=2*x+3
for x=6
v=dy/dx=2*6+3 = 12+3=15 m/s
G `( x ) =
2 + k x = 0
k x = -2
k = -2: x = - 2 : 2/3 = - 2 * 3/2
k = - 3Answer:
for k= - 3, the function g ( x ) have a critical point at x = 2/3.
<span>We have to find the value of x if the measures of the angles of a triangle are: 2 x, 3 x and 4 x. We know that the sum of the measures of the angles of a triangle is 180 degrees. A + B + C = 180. Here we have: A = 2 x, B = 3 x and C = 4 x; 2 x + 3 x + 4 x = 180; 9 x = 180; x = 180 : 9. Answer: x = 20 degrees.</span>
