Pearson eText for Thomas' Calculus -- Instant Access (Pearson+)
14th Edition
ISBN: 9780137442997
Author: Joel Hass, Christopher Heil
Publisher: PEARSON+
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Chapter 1.3, Problem 8E
To determine
Calculate the functions
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4. Consider the initial value problem
y' = 3x(y-1) 1/3,
y(xo) = yo.
(a) For what points (co, yo) does the IVP have a solution?
(b) For what points (xo, yo) does the IVP have a unique solution on some open interval that contains 20?
(c) Solve the IVP
y' = 3x(y-1) 1/3,
y(0) = 9
and determine the largest open interval on which this solution is unique.
Find the limit. (If the limit is infinite, enter 'oo' or '-o', as appropriate. If the limit does not otherwise exist, enter DNE.)
lim
X→ ∞
(✓
81x2
-
81x + x
9x)
2) Compute the following anti-derivative.
√1x4 dx
Chapter 1 Solutions
Pearson eText for Thomas' Calculus -- Instant Access (Pearson+)
Ch. 1.1 - In Exercise 1–6, find the domain and range of each...Ch. 1.1 - In Exercise 1–6, find the domain and range of each...Ch. 1.1 - In Exercise 1–6, find the domain and range of each...Ch. 1.1 - In Exercise 1–6, find the domain and range of each...Ch. 1.1 - In Exercise 1–6, find the domain and range of each...Ch. 1.1 - In Exercise 1–6, find the domain and range of each...Ch. 1.1 - Which of the graphs are graphs of functions of x,...Ch. 1.1 - Which of the graphs are graphs of functions of x,...Ch. 1.1 - Prob. 9ECh. 1.1 - Express the side length of a square as a function...
Ch. 1.1 - Express the edge length of a cube as a function of...Ch. 1.1 - A point P in the first quadrant lies on the graph...Ch. 1.1 - Consider the point (x, y) lying on the graph of...Ch. 1.1 - Consider the point (x, y) lying on the graph of ....Ch. 1.1 - Find the natural domain and graph the functions in...Ch. 1.1 - Find the natural domain and graph the functions in...Ch. 1.1 - Find the natural domain and graph the functions in...Ch. 1.1 - Find the natural domain and graph the functions in...Ch. 1.1 - Functions and Graphs
Find the natural domain and...Ch. 1.1 - Functions and Graphs
Find the natural domain and...Ch. 1.1 - Find the domain of .
Ch. 1.1 - Find the range of .
Ch. 1.1 - Graph the following equations and explain why they...Ch. 1.1 - Graph the following equations and explain why they...Ch. 1.1 - Graph the functions in Exercise.
Ch. 1.1 - Piecewise-Defined Functions
Graph the functions in...Ch. 1.1 - Graph the functions in Exercise.
Ch. 1.1 - Piecewise-Defined Functions
Graph the functions in...Ch. 1.1 - Find a formula for each function graphed in...Ch. 1.1 - Prob. 30ECh. 1.1 - Find a formula for each function graphed in...Ch. 1.1 - Find a formula for each function graphed in...Ch. 1.1 - For what values of x is
Ch. 1.1 - What real numbers x satisfy the equation
Ch. 1.1 - Does for all real x? Give reasons for your...Ch. 1.1 - Graph the function
Why is f(x) called the integer...Ch. 1.1 - Graph the functions in Exercise. What symmetries,...Ch. 1.1 - Prob. 38ECh. 1.1 - Graph the functions in Exercise. What symmetries,...Ch. 1.1 - Graph the functions in Exercise. What symmetries,...Ch. 1.1 - Graph the functions in Exercise. What symmetries,...Ch. 1.1 - Graph the functions in Exercise. What symmetries,...Ch. 1.1 - Graph the functions in Exercise. What symmetries,...Ch. 1.1 - Graph the functions in Exercise. What symmetries,...Ch. 1.1 - Graph the functions in Exercise. What symmetries,...Ch. 1.1 - Graph the functions in Exercise. What symmetries,...Ch. 1.1 - In Exercise 47–62, say whether the function is...Ch. 1.1 - In Exercise 47–62, say whether the function is...Ch. 1.1 - In Exercise 47–62, say whether the function is...Ch. 1.1 - In Exercise 47–62, say whether the function is...Ch. 1.1 - Prob. 51ECh. 1.1 - In Exercise 47–62, say whether the function is...Ch. 1.1 - Prob. 53ECh. 1.1 - In Exercise 47–62, say whether the function is...Ch. 1.1 - Prob. 55ECh. 1.1 - Prob. 56ECh. 1.1 - In Exercise 47–62, say whether the function is...Ch. 1.1 - In Exercise 47–62, say whether the function is...Ch. 1.1 - Prob. 59ECh. 1.1 - Prob. 60ECh. 1.1 - Prob. 61ECh. 1.1 - Prob. 62ECh. 1.1 - Prob. 63ECh. 1.1 - Kinetic energy The kinetic energy K of a mass is...Ch. 1.1 - Prob. 65ECh. 1.1 - Prob. 66ECh. 1.1 - A box with an open top is to be constructed from a...Ch. 1.1 - Prob. 68ECh. 1.1 - Prob. 69ECh. 1.1 - Prob. 70ECh. 1.1 - Prob. 71ECh. 1.1 - Prob. 72ECh. 1.1 - For a curve to be symmetric about the x-axis, the...Ch. 1.1 - Prob. 74ECh. 1.1 - A pen in the shape of an isosceles right triangle...Ch. 1.1 - Industrial costs A power plant sits next to a...Ch. 1.2 - In Exercises 1 and 2, find the domains of f, g, f...Ch. 1.2 - In Exercises 1 and 2, find the domains of f, g, f...Ch. 1.2 - In Exercises 3 and 4, find the domains of f, g,...Ch. 1.2 - Prob. 4ECh. 1.2 - Prob. 5ECh. 1.2 - Prob. 6ECh. 1.2 - In Exercises 7–10, write a formula for .
7.
Ch. 1.2 - Prob. 8ECh. 1.2 - In Exercises 7–10, write a formula for .
9.
Ch. 1.2 - In Exercises 7–10, write a formula for .
10.
Ch. 1.2 - Prob. 11ECh. 1.2 - Prob. 12ECh. 1.2 - Copy and complete the following table.
Ch. 1.2 - Prob. 14ECh. 1.2 - Prob. 15ECh. 1.2 - Prob. 16ECh. 1.2 - Prob. 17ECh. 1.2 - Prob. 18ECh. 1.2 - Prob. 19ECh. 1.2 - Prob. 20ECh. 1.2 - Prob. 21ECh. 1.2 - Prob. 22ECh. 1.2 - Prob. 23ECh. 1.2 - Prob. 24ECh. 1.2 - Prob. 25ECh. 1.2 - Prob. 26ECh. 1.2 - Prob. 27ECh. 1.2 - Prob. 28ECh. 1.2 - Prob. 29ECh. 1.2 - Prob. 30ECh. 1.2 - Prob. 31ECh. 1.2 - Prob. 32ECh. 1.2 - Prob. 33ECh. 1.2 - Prob. 34ECh. 1.2 - Prob. 35ECh. 1.2 - Prob. 36ECh. 1.2 - Prob. 37ECh. 1.2 - Prob. 38ECh. 1.2 - Prob. 39ECh. 1.2 - Prob. 40ECh. 1.2 - Prob. 41ECh. 1.2 - Prob. 42ECh. 1.2 - Prob. 43ECh. 1.2 - Prob. 44ECh. 1.2 - Prob. 45ECh. 1.2 - Prob. 46ECh. 1.2 - Prob. 47ECh. 1.2 - Prob. 48ECh. 1.2 - Prob. 49ECh. 1.2 - Prob. 50ECh. 1.2 - Prob. 51ECh. 1.2 - Prob. 52ECh. 1.2 - Prob. 53ECh. 1.2 - Prob. 54ECh. 1.2 - Prob. 55ECh. 1.2 - Prob. 56ECh. 1.2 - Prob. 57ECh. 1.2 - Prob. 58ECh. 1.2 - Prob. 59ECh. 1.2 - Prob. 60ECh. 1.2 - Prob. 61ECh. 1.2 - Prob. 62ECh. 1.2 - Prob. 63ECh. 1.2 - Prob. 64ECh. 1.2 - Prob. 65ECh. 1.2 - Prob. 66ECh. 1.2 - Prob. 67ECh. 1.2 - Prob. 68ECh. 1.2 - Prob. 69ECh. 1.2 - Prob. 70ECh. 1.2 - Prob. 71ECh. 1.2 - Prob. 72ECh. 1.2 - Prob. 73ECh. 1.2 - Prob. 74ECh. 1.2 - Prob. 75ECh. 1.2 - Prob. 76ECh. 1.2 - Graph the function .
Ch. 1.2 - Prob. 78ECh. 1.2 - Prob. 79ECh. 1.2 - Prob. 80ECh. 1.2 - Prob. 81ECh. 1.2 - Prob. 82ECh. 1.3 - On a circle of radius 10 m, how long is an arc...Ch. 1.3 - Prob. 2ECh. 1.3 - Prob. 3ECh. 1.3 - Prob. 4ECh. 1.3 - Prob. 5ECh. 1.3 - Copy and complete the following table of function...Ch. 1.3 - In Exercises 7–12, one of sin x, cos x, and tan x...Ch. 1.3 - Prob. 8ECh. 1.3 - Prob. 9ECh. 1.3 - In Exercises 7–12, one of sin x, cos x, and tan x...Ch. 1.3 - Prob. 11ECh. 1.3 - Prob. 12ECh. 1.3 - Graph the functions in Exercises 13–22. What is...Ch. 1.3 - Prob. 14ECh. 1.3 - Prob. 15ECh. 1.3 - Prob. 16ECh. 1.3 - Prob. 17ECh. 1.3 - Prob. 18ECh. 1.3 - Prob. 19ECh. 1.3 - Prob. 20ECh. 1.3 - Prob. 21ECh. 1.3 - Prob. 22ECh. 1.3 - Prob. 23ECh. 1.3 - Prob. 24ECh. 1.3 - Prob. 25ECh. 1.3 - Prob. 26ECh. 1.3 - Prob. 27ECh. 1.3 - Prob. 28ECh. 1.3 - Graph y = sin x and together. What are the domain...Ch. 1.3 - Prob. 30ECh. 1.3 - Prob. 31ECh. 1.3 - Prob. 32ECh. 1.3 - Prob. 33ECh. 1.3 - Prob. 34ECh. 1.3 - Prob. 35ECh. 1.3 - Prob. 36ECh. 1.3 - Prob. 37ECh. 1.3 - Prob. 38ECh. 1.3 - Prob. 39ECh. 1.3 - Prob. 40ECh. 1.3 - Prob. 41ECh. 1.3 - In Exercises 39–42, express the given quantity in...Ch. 1.3 - Evaluate as .
Ch. 1.3 - Evaluate as .
Ch. 1.3 - Prob. 45ECh. 1.3 - Prob. 46ECh. 1.3 - Prob. 47ECh. 1.3 - Prob. 48ECh. 1.3 - Prob. 49ECh. 1.3 - Using the Half-Angle Formulas
Find the function...Ch. 1.3 - Prob. 51ECh. 1.3 - Solving Trigonometric Equations
For Exercise...Ch. 1.3 - Prob. 53ECh. 1.3 - Prob. 54ECh. 1.3 - The tangent sum formula The standard formula for...Ch. 1.3 - (Continuation of Exercise 55.) Derive a formula...Ch. 1.3 - Prob. 57ECh. 1.3 - Prob. 58ECh. 1.3 - Prob. 59ECh. 1.3 - A triangle has sides a = 2 and b = 3 and angle C =...Ch. 1.3 - Prob. 61ECh. 1.3 - Prob. 62ECh. 1.3 - Prob. 63ECh. 1.3 - Prob. 64ECh. 1.3 - Prob. 65ECh. 1.3 - Prob. 66ECh. 1.3 - Prob. 67ECh. 1.3 - Prob. 68ECh. 1.3 - General Sine Curves
For
identify A, B, C, and D...Ch. 1.3 - Prob. 70ECh. 1.4 - Prob. 1ECh. 1.4 - Prob. 2ECh. 1.4 - Prob. 3ECh. 1.4 - Prob. 4ECh. 1.4 - Prob. 5ECh. 1.4 - Prob. 6ECh. 1.4 - Prob. 7ECh. 1.4 - Prob. 8ECh. 1.4 - Prob. 9ECh. 1.4 - Prob. 10ECh. 1.4 - Prob. 11ECh. 1.4 - Prob. 12ECh. 1.4 - Prob. 13ECh. 1.4 - Prob. 14ECh. 1.4 - Prob. 15ECh. 1.4 - Prob. 16ECh. 1.4 - Prob. 17ECh. 1.4 - Prob. 18ECh. 1.4 - Prob. 19ECh. 1.4 - Prob. 20ECh. 1.4 - Prob. 21ECh. 1.4 - Prob. 22ECh. 1.4 - Prob. 23ECh. 1.4 - Prob. 24ECh. 1.4 - Prob. 25ECh. 1.4 - Prob. 26ECh. 1.4 - Prob. 27ECh. 1.4 - Prob. 28ECh. 1.4 - Prob. 29ECh. 1.4 - Prob. 30ECh. 1.4 - Prob. 31ECh. 1.4 - Prob. 32ECh. 1.4 - Prob. 33ECh. 1.4 - Prob. 34ECh. 1.4 - Prob. 35ECh. 1.4 - Prob. 36ECh. 1.5 - In Exercises 1–6, sketch the given curves together...Ch. 1.5 - Prob. 2ECh. 1.5 - Prob. 3ECh. 1.5 - Prob. 4ECh. 1.5 - Prob. 5ECh. 1.5 - Prob. 6ECh. 1.5 - Prob. 7ECh. 1.5 - In each of Exercises 7–10, sketch the shifted...Ch. 1.5 - Prob. 9ECh. 1.5 - Prob. 10ECh. 1.5 - Prob. 11ECh. 1.5 - Prob. 12ECh. 1.5 - Prob. 13ECh. 1.5 - Prob. 14ECh. 1.5 - Prob. 15ECh. 1.5 - Prob. 16ECh. 1.5 - Prob. 17ECh. 1.5 - Prob. 18ECh. 1.5 - Prob. 19ECh. 1.5 - Prob. 20ECh. 1.5 - Find the domain and range for each of the...Ch. 1.5 - Find the domain and range for each of the...Ch. 1.5 - Prob. 23ECh. 1.5 - Prob. 24ECh. 1.5 - Prob. 25ECh. 1.5 - Prob. 26ECh. 1.5 - Prob. 27ECh. 1.5 - Prob. 28ECh. 1.5 - Prob. 29ECh. 1.5 - Prob. 30ECh. 1.5 - In Exercises 29-36, use an exponential model and a...Ch. 1.5 - Prob. 32ECh. 1.5 - Prob. 33ECh. 1.5 - In Exercises 29-36, use an exponential model and a...Ch. 1.5 - Prob. 35ECh. 1.5 - Prob. 36ECh. 1.6 - Which of the functions graphed in Exercise are...Ch. 1.6 - Prob. 2ECh. 1.6 - Prob. 3ECh. 1.6 - Prob. 4ECh. 1.6 - Prob. 5ECh. 1.6 - Prob. 6ECh. 1.6 - Prob. 7ECh. 1.6 - Prob. 8ECh. 1.6 - Prob. 9ECh. 1.6 - Prob. 10ECh. 1.6 - Prob. 11ECh. 1.6 - Prob. 12ECh. 1.6 - Prob. 13ECh. 1.6 - Prob. 14ECh. 1.6 - Prob. 15ECh. 1.6 - Prob. 16ECh. 1.6 - Prob. 17ECh. 1.6 - Prob. 18ECh. 1.6 - Prob. 19ECh. 1.6 - Prob. 20ECh. 1.6 - Prob. 21ECh. 1.6 - Prob. 22ECh. 1.6 - Prob. 23ECh. 1.6 - Prob. 24ECh. 1.6 - Prob. 25ECh. 1.6 - Prob. 26ECh. 1.6 - Each of Exercises 25–36 gives a formula for a...Ch. 1.6 - Prob. 28ECh. 1.6 - Prob. 29ECh. 1.6 - Prob. 30ECh. 1.6 - Prob. 31ECh. 1.6 - Each of Exercises 25–36 gives a formula for a...Ch. 1.6 - Prob. 33ECh. 1.6 - Prob. 34ECh. 1.6 - Prob. 35ECh. 1.6 - Prob. 36ECh. 1.6 - Prob. 37ECh. 1.6 - Prob. 38ECh. 1.6 - Prob. 39ECh. 1.6 - Prob. 40ECh. 1.6 - Prob. 41ECh. 1.6 - Prob. 42ECh. 1.6 - Prob. 43ECh. 1.6 - Prob. 44ECh. 1.6 - Prob. 45ECh. 1.6 - Prob. 46ECh. 1.6 - Prob. 47ECh. 1.6 - Prob. 48ECh. 1.6 - Prob. 49ECh. 1.6 - Prob. 50ECh. 1.6 - Prob. 51ECh. 1.6 - Prob. 52ECh. 1.6 - Prob. 53ECh. 1.6 - Prob. 54ECh. 1.6 - Prob. 55ECh. 1.6 - Prob. 56ECh. 1.6 - Prob. 57ECh. 1.6 - In Exercises 57–64, solve for t.
58.
e−0.01t =...Ch. 1.6 - Prob. 59ECh. 1.6 - Prob. 60ECh. 1.6 - Prob. 61ECh. 1.6 - Prob. 62ECh. 1.6 - Prob. 63ECh. 1.6 - Prob. 64ECh. 1.6 - Prob. 65ECh. 1.6 - Prob. 66ECh. 1.6 - Prob. 67ECh. 1.6 - Prob. 68ECh. 1.6 - Prob. 69ECh. 1.6 - Prob. 70ECh. 1.6 - In Exercises 71-74, find the exact value of each...Ch. 1.6 - Prob. 72ECh. 1.6 - Prob. 73ECh. 1.6 - Prob. 74ECh. 1.6 - If f(x) is one-to-one, can anything be said about...Ch. 1.6 - If f(x) is one-to-one, can anything be said about...Ch. 1.6 - Suppose that the range of g lies in the domain of...Ch. 1.6 - If a composition f ◦ g is one-to-one, must g be...Ch. 1.6 - Prob. 79ECh. 1.6 - The identity arcsin x + arccos x = π/2 Figure 1.69...Ch. 1.6 - Prob. 81ECh. 1.6 - Prob. 82ECh. 1.6 - Prob. 83ECh. 1.6 - Prob. 84ECh. 1.6 - Prob. 85ECh. 1.6 - Prob. 86ECh. 1.6 - Prob. 87ECh. 1.6 - Prob. 88ECh. 1 - Prob. 1GYRCh. 1 - Prob. 2GYRCh. 1 - Prob. 3GYRCh. 1 - Prob. 4GYRCh. 1 - Prob. 5GYRCh. 1 - Prob. 6GYRCh. 1 - Prob. 7GYRCh. 1 - Prob. 8GYRCh. 1 - How do you change the equation y = f(x) to shift...Ch. 1 - Prob. 10GYRCh. 1 - Prob. 11GYRCh. 1 - Prob. 12GYRCh. 1 - Prob. 13GYRCh. 1 - Prob. 14GYRCh. 1 - Prob. 15GYRCh. 1 - Name three issues that arise when functions are...Ch. 1 - Prob. 17GYRCh. 1 - Prob. 18GYRCh. 1 - Prob. 19GYRCh. 1 - Prob. 20GYRCh. 1 - Prob. 21GYRCh. 1 - Prob. 22GYRCh. 1 - Prob. 23GYRCh. 1 - Prob. 24GYRCh. 1 - Prob. 1PECh. 1 - Prob. 2PECh. 1 - Prob. 3PECh. 1 - Prob. 4PECh. 1 - Prob. 5PECh. 1 - Prob. 6PECh. 1 - Prob. 7PECh. 1 - Prob. 8PECh. 1 - Prob. 9PECh. 1 - Prob. 10PECh. 1 - Prob. 11PECh. 1 - Prob. 12PECh. 1 - Prob. 13PECh. 1 - Prob. 14PECh. 1 - Prob. 15PECh. 1 - Prob. 16PECh. 1 - Prob. 17PECh. 1 - Prob. 18PECh. 1 - Prob. 19PECh. 1 - Prob. 20PECh. 1 - Prob. 21PECh. 1 - Prob. 22PECh. 1 - Prob. 23PECh. 1 - Prob. 24PECh. 1 - Prob. 25PECh. 1 - Prob. 26PECh. 1 - Prob. 27PECh. 1 - Prob. 28PECh. 1 - Prob. 29PECh. 1 - Prob. 30PECh. 1 - Prob. 31PECh. 1 - Prob. 32PECh. 1 - Prob. 33PECh. 1 - Prob. 34PECh. 1 - Prob. 35PECh. 1 - Prob. 36PECh. 1 - Prob. 37PECh. 1 - Prob. 38PECh. 1 - Prob. 39PECh. 1 - Prob. 40PECh. 1 - Prob. 41PECh. 1 - Prob. 42PECh. 1 - Prob. 43PECh. 1 - Prob. 44PECh. 1 - Prob. 45PECh. 1 - Prob. 46PECh. 1 - Prob. 47PECh. 1 - Prob. 48PECh. 1 - Prob. 49PECh. 1 - Prob. 50PECh. 1 - Prob. 51PECh. 1 - Prob. 52PECh. 1 - Prob. 53PECh. 1 - Prob. 54PECh. 1 - Prob. 55PECh. 1 - Prob. 56PECh. 1 - Prob. 57PECh. 1 - Prob. 58PECh. 1 - Prob. 59PECh. 1 - Prob. 60PECh. 1 - Prob. 61PECh. 1 - Prob. 62PECh. 1 - Prob. 63PECh. 1 - Prob. 64PECh. 1 - Prob. 65PECh. 1 - Prob. 66PECh. 1 - Prob. 67PECh. 1 - Prob. 68PECh. 1 - Prob. 69PECh. 1 - Prob. 70PECh. 1 - Prob. 71PECh. 1 - Prob. 72PECh. 1 - Prob. 73PECh. 1 - Prob. 74PECh. 1 - Prob. 75PECh. 1 - Prob. 76PECh. 1 - Prob. 77PECh. 1 - Prob. 78PECh. 1 - Prob. 79PECh. 1 - Prob. 80PECh. 1 - Prob. 81PECh. 1 - Prob. 82PECh. 1 - Prob. 83PECh. 1 - Prob. 84PECh. 1 - Prob. 85PECh. 1 - Prob. 86PECh. 1 - Prob. 87PECh. 1 - Prob. 88PECh. 1 - Prob. 1AAECh. 1 - Prob. 2AAECh. 1 - Prob. 3AAECh. 1 - Prob. 4AAECh. 1 - Prob. 5AAECh. 1 - Prob. 6AAECh. 1 - Prob. 7AAECh. 1 - Prob. 8AAECh. 1 - Prob. 9AAECh. 1 - Prob. 10AAECh. 1 - Show that if f is both even and odd, then f(x) = 0...Ch. 1 - Prob. 12AAECh. 1 - Prob. 13AAECh. 1 - Prob. 14AAECh. 1 - Prob. 15AAECh. 1 - Find the slope of the line from the origin to the...Ch. 1 - Consider the quarter-circle of radius 1 and right...Ch. 1 - Prob. 18AAECh. 1 - Prob. 19AAECh. 1 - Prob. 20AAECh. 1 - Prob. 21AAECh. 1 - Prob. 22AAECh. 1 - Prob. 23AAECh. 1 - Prob. 24AAECh. 1 - Prob. 25AAECh. 1 - Prob. 26AAECh. 1 - Prob. 27AAECh. 1 - Prob. 28AAE
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- Question 3 (5pt): A chemical reaction. In an elementary chemical reaction, single molecules of two reactants A and B form a molecule of the product C : ABC. The law of mass action states that the rate of reaction is proportional to the product of the concentrations of A and B: d[C] dt = k[A][B] (where k is a constant positive number). Thus, if the initial concentrations are [A] = = a moles/L and [B] = b moles/L we write x = [C], then we have (E): dx dt = k(ax)(b-x) 1 (a) Write the differential equation (E) with separate variables, i.e. of the form f(x)dx = g(t)dt. (b) Assume first that a b. Show that 1 1 1 1 = (a - x) (b - x) - a) a - x b - x b) (c) Find an antiderivative for the function f(x) = (a-x) (b-x) using the previous question. (d) Solve the differentiel equation (E), i.e. find x as a function of t. Use the fact that the initial concentration of C is 0. (e) Now assume that a = b. Find x(t) assuming that a = b. How does this expression for x(t) simplify if it is known that [C] =…arrow_forward3) Find the volume of the solid that lies inside both the sphere x² + y² + z² cylinder x²+y² = 1. = 4 and thearrow_forward1) Compute the following limit. lim x-0 2 cos(x) 2x² - x4arrow_forward
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Sine, Cosine and Tangent graphs explained + how to sketch | Math Hacks; Author: Math Hacks;https://www.youtube.com/watch?v=z9mqGopdUQk;License: Standard YouTube License, CC-BY