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Find the net change and the average rate of change of the function d(t) = 16t^2 between t = 1 and t = 5.
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- Use differential approximations to estimate the change in average cost per racket if the production is increased from 20 per hour to 25 per hour. Round to the nearest cent. $ per racket NOTE: Your answer may be negative.Estimate the instantaneous rate of change at the point x=2 for f(x)=ln(x) ROC =What is the rate of change of y = ln x at x = 10?
- Find the average rate of change of between the points on the function whose coordinates are (1, 3), and (2, 16). (Enter an exact number.)Find teh average rate f change of f(x)=3x^(2)-x from x_(1)=-1 to x_(2)=2Find the average rate of change of LaTeX: f\left(x\right)\:=3x^2+1 f ( x ) = 3 x 2 + 1 between LaTeX: x=1\:and\:x=2
- Use differentials to estimate the value. estimate = exact value =Use differential approximations to estimate the change in average cost per racket if the production is increased from 20 per hour to 24 per hour. Round to the nearest cent. $ per racket NOTE: Your answer may be negative. screenshot attachedA ladder 5 meters long is leaning against a vertical wall. Due to the smooth floor, the foot of the ladder is sliding away from the wall. Let x be the horizontal distance of the foot of the ladder from the wall and y be the height of the top of the ladder from the floor. Determine when will the rate of change of y with respect to x be numerically equal to the negative of the current value of x?
- Estimate the instantaneous rate of change of h(x)= 5/x−3 at the point x=−3Your answer should be accurate to at least 3 decimal places.What is the rate of change of y = In x at x = 10?A particle moves on the line y = 2x + 1 in such a way that its x−coordinate changes at a constant rate of 4 units per second. A right triangle is formed by the vertical line from the particle to the x−axis, the line connecting the particle to the origin, and the x−axis. At what rate is the area of the right triangle changing when x = 4?
