Step 1: Find f'(x):
f'(x) = -6x^2 + 6x
Step 2: Evaluate f'(2) to find the slope of the tangent line at x=2:
f'(2) = -6(2)^2 + 6(2) = -24 + 12 = -12
Step 3: Find f(2), so you have a point on y=f(x):
f(2) = -2·(2)^3 + 3·(2)^2 = -16 + 12 = -4
So, you have the point (2,-4) and the slope of -12.
Step 4: Find the equation of your tangent line:
Using point-slope form you'd have: y + 4 = -12 (x - 2)
That is the equation of the tangent line.
If your teacher is picky and wants slope-intercept, solve that for y to get:
y = -12 x + 20
Answer:
Step-by-step explanation:
6Sin² Ф + 11Sin Ф + 4 = 0
Product = 6*4 = 24
Sum =11
Factors = 8 , 3 {8*3 = 24 & 8+3 = 11}
6Sin² Ф + 8Sin Ф + 3 sin Ф + 4 = 0
2Sin Ф ( 3Sin Ф + 4) + (3Sin Ф + 4) = 0
( 3Sin Ф + 4) (2Sin Ф + 1) = 0
3Sin Ф + 4 = 0 ; 2Sin Ф + 1 = 0
3Sin Ф = -4 ; 2Sin Ф = -1
Sin Ф = -4/3 ; Sin Ф = -1/2
Sin Ф = -4/3 , -1/2
Abcdefghojklmnopqrstuvwxyz
Answer:
Should be 38.28
Step-by-step explanation:
Dividing 6.60 by 5 is $1.32, aka the cost of one gallon. multiply by 29, answer is that it costs $38.28 to get 29 gallons of gasoline.
Answer:
1017.36 square miles
Step-by-step explanation:
Since the diameter of a circle is twice the radius, the radius of this circle is 36/2=18. Since the area of a circle is , the area of this circle is:
Hope this helps!