Hello.
Angle Theta is equal to: x² + y² = r² OR
40² + y² = 41²
1600 + y² = 1681
-1600 -1600
y² = 81
y = 9
x = 40, y = 9, r = 41
<span>cos θ= </span>
=
sin θ =
cot θ =
sec θ =
Hopefully it makes sense! :)
Answer:
15.8
Step-by-step explanation:
We are asked to find how many seconds it takes for an object to fall from a height of 4,000ft. We will use the given formula, t=h−−√4. Substituting h=4,000, we find
t=4000−−−−√4=15.8
So, the hammer reaches the river after 15.8 seconds.
The given curve is --- y = x^5 + x^3 - 2x
<span>First derivative to this curve is y' = 5 x^4 + 3 x^2 - 2 </span>
<span>=> Slope (m) = 5 x^4 + 3 x^2 - 2 </span>
<span>For the minimum value of m we calculate dm/dx and put it = 0 </span>
<span>=> d( 5 x^4 + 3 x^2 - 2 ) / dx = 0 </span>
<span>=> 20 x^2 + 6 x = 0 </span>
<span>=> x ( 20 x + 6 ) = 0 </span>
<span>Turning values of x are 0 and - 6 / 20 = ( - 3 / 10 ) </span>
<span>At x = 0 , m = - 2 </span>
<span>and at x = - 3/10 </span>
<span>m = 5 x^4 + 3 x^2 - 2 </span>
<span>=> m = 5 ( - 3 / 10 )^4 + 3 ( - 3 / 10 )^2 - 2 = - 1.68 </span>
<span>Hence at turning points, the slope is minimum at x = 0 and is equal to = - 2 </span>
<span>MINIMUM VALUE OF THE SLOPE = - 2</span>
