The aNSWER IS 41..AM I RIGHT?
(d) The particle moves in the positive direction when its velocity has a positive sign. You know the particle is at rest when 
and 
, and because the velocity function is continuous, you need only check the sign of 
for values on the intervals (0, 3) and (3, 6).
We have, for instance 
and 
, which means the particle is moving the positive direction for 
, or the interval (3, 6).
(e) The total distance traveled is obtained by integrating the absolute value of the velocity function over the given interval:
which follows from the definition of absolute value. In particular, if 
is negative, then 
.
The total distance traveled is then 4 ft.
(g) Acceleration is the rate of change of velocity, so 
is the derivative of :
Compute the acceleration at 
seconds:
(In case you need to know, for part (i), the particle is speeding up when the acceleration is positive. So this is done the same way as part (d).)
Answer:B) 150
Step-by-step explanation:
Area of rec= L×W
= 10×30= 300
Area of shaded area= 1/2 Base× Height
1/2×10×15=75
75×2 = 150
Area of unshaded part= 300-150= 150
Answer:
6x^7.
Step-by-step explanation:
The exponent property for this would be that
x^a * x^b = x^a + b.
So x^2 * x^5 = x^2 + 5 or x^7.
The other part is just multiplying the coefficients 3 and 2, which is 6.
Put these together and you get your answer 6x^7.
Answer:
x=45
Step-by-step explanation:
An entire triangle is 180 degrees and you already know that one angle is 90 degrees. 180 - 90 is 90. Now you have the equation 2x=90.
You then divide each side by 2 to get the x by itself which leaves you with x=45.
