Answer:
Y' = 360ex+ 30e
Step-by-step explanation:
Y=e×6x×(6x+1) × 5
y'= d/dx (e×6x ×(6x+1)×5)
y'=d/dx(30ex ×(6x+1))
y'=d/dx(180ex^2 + 30ex)
y'=d/dx(180ex^2) + d/dx (30ex)
Calculate the derivative
y'=180e×2x +30e
y'=360ex+30e
Answer with Step-by-step explanation:
We are given that


We have to write the rule for function g and describe the transformation between f and g.
Compress the function by scale factor 3 and the translation rule is given by

Then, we get 
Now, shift the y coordinate 4 units above the origin.
Then, the translation rule is given by

Then , we get

Answer:
39
Step-by-step explanation:
Given the function :
h(t) = t² + 2
From t = 5 to t = 8
when, t = 5
h(5) = 5² + 2
h(5) = 25 + 2
h(t) at t = 5 ; equals 27
when, t = 8
h(5) = 8² + 2
h(5) = 64 + 2
h(t) at t = 8 ; equals 66
Net Change :
h(8). - h(5)
66 - 27 = 39
Answer:
y =8
Step-by-step explanation:
1/2y+2/5=4 2/5
Subtract 2/5 from each side
1/2y+2/5-2/5=4 2/5-2/5
1/2 y = 4
Multiply each side by 2
1/2y *2 = 4*2
y = 8