Hi.
The first question is a direct variation — specifically y = 1.8x
In the second one (if my calculations are correct), it's not a direction variation.
Hope this helps :)
Calculations:
y = 1.8(3) = 5.4
y does not equal x, 2x, or -2x.
Answer:
triangle A= 1/2bh
1/2(18)(14)= 126
semi circle 3.14(9)^2 divided by 2 = 127.17
Triangle Area plus semi circle Area = 126+127.17= 253.17
The question involves the concept & equations associated with projectile motion.
Given:
y₁ = 1130 ft
v₁ = +46 ft/s (note positive sign indicates upwards direction)
t = 6.0 s
g = acceleration due to gravity (assumed constant for simplicity) = -32.2 ft/s²
Of the possible equations of motion, the one we'll find useful is:
y₂ = y₁ + v₁t + 1/2gt²
We can just plug and chug to define the equation of motion:
<u><em>y = (1130 ft) + (46 ft/s)t + 1/2(-32.2 ft/s²)t²</em></u>
<em>(note: if you were to calculate y using t = 6.0 s, you'd find that y = 826.4 ft, instead of 830 ft exactly because of some rounding of g and/or the initial velocity)</em>
Answer:
(-2,-3) and (3,2)
Step-by-step explanation:
sub in x-1 into y
x^2 + (x-1)^2 = 13
x^2 + (x-1)(x-1)=13
x^2 + x^2 -2x +1 = 13
2x^2 -2x-12=0
solve for x by factoring (quadratic formula, product sum etc..)
x= -2 and 3
plug in those values into y=x-1 and solve for y
As
, the sequence
converges to zero.
If you're talking about the infinite series
well we've shown by comparison that this series must also converge because we know any geometric series
will converge as long as
.
