# calculus

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## 7. Let P And Q be points on the curve y=x^2+2x+5 at which x=2 and x=2+h respectively. Express the gradient of the line PQ in terms of h, and hence find the gradient of the tangent to the curve y=x^2+2x+5 at x=2.

Step-by-step solution-: Simplify the given expression for x=2: Simplify the given expression for x=2+h: Let be m a slope of …

## Estimate the instantaneous rate of growth in 2004 by taking the average of two average rates of change. what are its units.

Estimate the instantaneous rate of growth in 2004 by taking the average of two average rates of change. Step-by-step solution-: …

## Find the equation of tangent line to the function y=-1/x^3 at the pointx=1. write your answer in the gradient form, y=mx+c

Find the equation of tangent line to the function y=-1/x^3 at the pointx=1. Step-by-step solution-: The given function is: We …