Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition
5th Edition
ISBN: 9780133311617
Author: Prentice Hall
Publisher: Prentice Hall
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Find the slope of the tangent line to the graph of f(x) = 5x at the point (4,80).
а.
b. Find the slope-intercept equation of the tangent line to the graph of f(x) = 5x at the point (4,80).
a. What is the slope of the tangent line?
Mtan
b. Complete the slope-intercept equation of the tangent line below.
y%3D
High
814
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立
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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)
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Similar questions
- Only need parts f. and g. Needed info in first picture. Questions in second picture.arrow_forwardOhm'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.arrow_forwardOhm'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.arrow_forward
- ven slope and y-intercept. 8. slope: --: y-intercept: -12 10. slope: -3 : y-intercept:- -intercept form. y 13. (0, 3) 2. 4. 234 5arrow_forwardCan you help me number 6. Finding normal.arrow_forwardFind 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.arrow_forward
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