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The equation of the tangent line to rhe graph of the function y= 7^x + 4e^x at x = 0 ?
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- Determine dimension x to 3 decimal places.Find the equation of tangent line at the specified point x power 2 by 3 - y power 2 by 3 - y =1 ;(1, -1)water leaking onto a floor creates a circular pool with an area that increases at the rate of 3 square inches per minute. What would be the output if the 2nd derivative is negative?
- A \[10\]-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at \[3\] meters per minute. At a certain instant, the bottom of the ladder is \[6\] meters from the wall. What is the rate of change of the area formed by the ladder at that instant (in square meters per minute)?A 10 meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at 3 meters per minute. At certain instant, the bottom of the leader is 6 meters from the wall. What is the rate of change of the area formed by the ladder at that instant (in square meters per minute)?ne side of a right triangle is known to be 150 cm long and the adjacent angle is measured as π/ 3 radians, with a possible error of π/60 radians. Use differentials to approximate the maximum possible error in computing the area (in square centimeters) of the triangle
- If the radius of a circle increases by 3%, use differentials to approximate the increase in the area of the circleEstimate the slope of the tangent line at the point x=12, for f(x)=ln(x). (Use decimal notation. Give your answer to three decimal places.) slope of the tangent line=Please show complete solution. Determine the slope of the tangent line to the graph of theequation ey = [cosh x] tan−1 (2x) at x = 0.
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