Start with
Subtract 15 from both sides:
Divide both sides by 2a:
The total time taken by Clem Shirestock to reach the gate is given by the equation 7 = 4√(x²+1)+ 8 - 2 x
Let the point P is at a distance of x miles from the toll gate.
Hence when Clem reaches the point P he rows in the form of right angled triangle. and we know that the width of the river is 1 mile.
So by using Pythagoras Theorem we can infer that the distance covered by Clem is the hypotenuse which is equal to √(x²+1).
Time taken to complete this route is 4√(x²+1) .
Now he has only to walk 4-x distance along the river.
His speed is 2 mph
Time taken = 2(4-x) = 8-2x
Hence we can conclude that the total time is 7 hours. so the equation to represent this is 7 = 4√(x²+1)+ 8 - 2 x .
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Answer:
cm/sec.
Step-by-step explanation:
We have been given that a particle in the first quadrant is moving along a path described by the equation 
such that at the moment its x-coordinate is 2, its y-coordinate is decreasing at a rate of 10 cm/sec. We are asked to find the rate at which x-coordinate is changing at that time.
First of all, we will find the y value, when 
by substituting in our given equation.
Since the particle is moving in the 1st quadrant, so the value of y will be positive that is 
.
Now, we will find the derivative of our given equation.
We have been given that , and 
.
Therefore, the x-coordinate is increasing at a rate of cm/sec.
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Answer:
10*5 +2(2*2)
50+8
58
Step-by-step explanation:
