Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter E, Problem 10PS
To determine
Draw a graph of the given trigonometric function.
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Students have asked these similar questions
If the parent function, y = sin x, had a frequency and amplitude of 3 and is shifted up 2 units, what is the equation of the new graph?
A. y = -sin(3x) + 2
B. y = 3sin (3x) + 2
C. y = -sin (3x) – 2
D. y = sin (-3x) – 2
E. y =2sin (3x) + 3
Match the function with the graph
(1) y = -1 + cos x
If y=-cos x, what is x-value between pi and 2 pi corresponding to y-value of 1/2
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- Suppose the voltage V in volts is a function of time t ( in sec) given by V=30e-t/5 sin(pit).arrow_forward3. Given the function f(x)= sin(x^2−1)on the interval [−1,1]. Show that your can find a point on the interval [-1,1] at which the tangent line has the slope of the secant line that passes through x = -1, and x = 1. 4. Find the tangent line in problem 3.arrow_forwardI. Identify the derivatives of the following functions. Show your complete solution. Answer Problems 4-6arrow_forward
- Find an antiderivative for each of the following functions. You can check your work by taking the derivative of your solution and making sure it matches the function given in the problem statement. 5) e(x) = cos(x) + exarrow_forwardFind the slope of the tangent to the graph of the following function at the point (e^2,4). Give your answer as an exact value, not a decimal approximation. y=(ln(x))^(ln(x))arrow_forwardFor y=−5cos(x)+4,its amplitude is ________? its midline is y ________? Without graphing the function y=−10sin(8x), determine its amplitude and period. Leave answers in exact form; type pi for π.amplitude = period =arrow_forward
- Each of question gives the first derivative of a continuous functiony = ƒ(x). Find y'' and then use Steps 2–4 of the graphing procedure to sketch the general shape of the graph of ƒ. y' = cot θ/2, 0 < θ < 2parrow_forwardB. HIGHER ORDER DERIVATIVE: Find the indicated derivatives of each function. Answer Problems 8-9arrow_forwardGive an equation of the resulting function when y=cosθ is horizontally compressed by a factor of 1/4arrow_forward
- For a particular function h, we know h 0 (2) = 6 and h(2) = −3. Write an equation for the line tangent to h(x) = y at x = 2.arrow_forwardWhat is the period of the graph of the function y=sin(5x)? Use pi for π. For y=8sin(2x),its amplitude is_______ ;its period is_________ ;Use radians and use pi for π. For y=−8cos(1/10x),its amplitude is_________ ;its period is_______ ;Use radians and use pi for π.arrow_forwardFind the DE of the following by eliminating arbitrary constants. Reduce your final answer in simplest form (i.e. no common factor between each term, descending order of derivatives) Given Problem: 2. y=C1x +C2e^−4x Hint: multiply byarrow_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