The terminal point represented by P(x,y), is the coordinate where a certain point lies. Given is 5pi/4 radians - this will be our angle.
Evaluate the values of x and y using sin θ and cos θ
x = cos (5pi/4)
x = -√2/2
y = sin (5pi/4)
y = -√2/2
Therefore, (x,y) is (-√2/2, -√2/2)
Answer:
n
Step-by-step explanation:
<h3>
Answer: ds/dt = 11</h3>
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Work Shown:
Before we can use derivatives, we need to find the value of s when (x,y) = (15,20)
s^2 = x^2+y^2
s^2 = 15^2+20^2
s^2 = 225+400
s^2 = 625
s = sqrt(625)
s = 25
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Now we can apply the derivative to both sides to get the following. Don't forget to use the chain rule.
s^2 = x^2 + y^2
d/dt[s^2] = d/dt[x^2 + y^2]
d/dt[s^2] = d/dt[x^2] + d/dt[y^2]
2s*ds/dt = 2x*dx/dt + 2y*dy/dt
2(25)*ds/dt = 2(15)*5 + 2(20)*(10)
50*ds/dt = 150 + 400
50*ds/dt = 550
ds/dt = 550/50
ds/dt = 11
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Side note: The information t = 40 is never used. It's just extra info.
Answer:
this may be correct answer .and sorry if it is wrong
This fraction cannot be changed to a mixed number because 3 can divide 42 to give 14. Hope i helped. Have a nice day.
