Chapter 2.4, Problem 9E

Question25J11

Find the equation of the tangent and normal line to the following curves at a given specified point. Write the equation in slope-intercept and general equation form. Graph the curve, the tangent line, the normal line and the point of intersection of the lines and the curve.

Only need parts f. and g. Needed info in first picture. Questions in second picture.

Pls help me answer this

The table gives a set of readings obtained when a mass (x) in grams, is hung from a spring, causing it to extend to a length (y) in centimeters. Calculate the equation of the straight line that best represents the data give Mass (x) Length (y) 10 116 40 123 80 144 100 152 120 160 150 173

Ohm's law states that the voltage drop Vacross an ideal resistor is linearly proportional to the current i flowing through the resistor as V= iR. Where R is the resistance. However, real resistors may not always obey Ohm's law. Suppose that you perform some very precise experiments to measure the voltage drop and the corresponding current for a resistor. The following results suggest a curvilinear relationship rather than the straight line represented by Ohm's law. i -1 - 0.5 - 0.25 0.25 0.5 1 V -637 -96.5 -20.25 20.5 96.5 637 Instead of the typical linear regression method for analyzing such experimental data, fit a curve to the data to quantify the relationship. Compute V for i = 0.1 using Polynomial Interpolation.

Ohm's law states that the voltage drop Vacross an ideal resistor is linearly proportional to the current i flowing through the resistor as V= iR. Where R is the resistance. However, real resistors may not always obey Ohm's law. Suppose that you perform some very precise experiments to measure the voltage drop and the corresponding current for a resistor. The following results suggest a curvilinear relationship rather than the straight line represented by Ohm's law. i -1 - 0.5 - 0.25 0.25 0.5 1 V -637 -96.5 -20.25 20.5 96.5 637 Instead of the typical linear regression method for analyzing such experimental data, fit a curve to the data to quantify the relationship. Compute V for i = 0.1 using Newton's Divided Difference Method.

A lemon is launched into the air, and its path is recorded by a motion detector.