Chapter 2.4, Problem 10E

Part 2. Math column A to column B by finding the slope of tangent line at any given point and write the letter of your answer on the space provided. Column A Column B A. y = 2x - 7 1. y 4x2- 4x +1 at point (1,1) B. y = x-9 2x-5 _2. y = at point (1,5) 7-2x C. y = * 3. у %3D х +3 at point (4,1) D. y = 2x - 10 4. y = x² - 4 at point (-2,-4) E. y = 2 5. у %3D Зх — 5 at point (-2,3) F. y = 3x - 5 6. y = 4x2 + 2 at point (0,0) G. y = -4x-8 7. y = 2x- 10 at point (4,2) H. y = x+ 3 8. y = x+4 at point (-2,-) X-4 I. y = 5x -9 %3D 9.y x-9 at point (3,1) J. y = 4x- 3 10. y = x2 - 6 at point (1,2)

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

ven slope and y-intercept. 8. slope: --: y-intercept: -12 10. slope: -3 : y-intercept:- -intercept form. y 13. (0, 3) 2. 4. 234 5

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.

Can you help me number 6. Finding normal.

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.