Answer:
0J
Explanation:
Mass of the lump M1 = 1.0 kg, initial velocity of the lump U1 = 2m/s to the right,
mass of the metal sphere M2 = 0.5kg, initial velocity of the metal sphere M2 = -4m/s to the left. using conservation law of momentum;
M1U1 + M2U2 = V (M1 + M2)
(1.0 × 2) + (0.5 × -4) = V (1 + 0.5)
2 -2 = V (1.5)
0 = V (1.5)
divide both side by 1.5
0/1.5 = V 1.5/1.5
V = 0
since final velocity after sticking together of the two masses equals zero then their combined kinetic energy will also equal to zero
1/2 V(M1 +M2)
1/2 ×0 × 1.5 = 0J
Answer: D [-1,1]
is the inverse of function g(x).
the inverse equation of g(x) = sin(x):
sin(y) = x
y = 
(x)
using a trig circle with radius 1, we can find out that the max values of sin(x) are 1 and -1, so the domain of the inverse of sin(x) must be [-1,1]
**Note: if allowed during AP test, test from school. or assignment, you can use your graphing calculator to graph (x)
The easiest way to find such limits, where there is a numerator and a denominator is to apply <span><span>Hospital's Rule.
1st find the derivative of the numerator and the derivative of the denominator, if it still gives an indeterminate value, find the second derivative of N and D
3) lim sin(2x)/x when x →0
Derivative sin2x → 2cos2x
Derivative x→ 1
2cos2x/1 when x→0 , 2cos2x → 2
and lim sin(2x)/x when x →0 is 2
4) lim(sinx)/(2x²-x)
→cosx/(2x-1) when x →0 cosx/(2x-1) = -1
and lim(sinx)/(2x²-x) when x →0 is -1
and so on and so forth. Try to continue following the same principle
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What is an important step to remember with skimming and scanning?
B) Go back and read the text. You will miss important details if all you do is skim and scan.
Hope this answers your question!
