
Concept explainers
To graph: The

Explanation of Solution
Given information:
The quadratic equation
Graph:
The graph of the quadratic equation
Consider the quadratic equation,
Rewrite the given equation:
Now put the values of
Substitute the value of
The value of
Substitute the value of
The value of
Substitute the value of
The value of
Substitute the value of
Substitute the value of
The value of
Substitute the value of
The value of
Substitute the value of
The value of
When the value of
Same as the value of
The value of
The value of
The value of
The value of
The value of
Observe that as the value of
Same as the value of
Steps to plot the graph of the equation
Step 1: Press
Step 2: Use the down arrow key to reach
Step 3: Press
Step 4: Press
Step 5: Enter the function
Step 6: Press
For better view of graph.
Step 8: Press
The result obtained on the screen is provided below,
Interpretation:
The equation of the function
The equation has a wave formed graph.
The
Recall that the graphical approach to solve the equation simultaneously is observe the point where the graph of equation
Therefore, the equation
a.When the
Steps to plot the graph of the equation
Step 1: Press
Step 2: Use the down arrow key to reach
Step 3: Press
Step 4: Press
Step 5: Enter the function
Step 6: Press
For better view of graph.
Step 8: Press
The result obtained on the screen is provided below,
This window is not perfect viewing window.
b.
When the
Steps to plot the graph of the equation
Step 1: Press
Step 2: Use the down arrow key to reach
Step 3: Press
Step 4: Press
Step 5: Enter the function
Step 6: Press
For better view of graph.
Step 8: Press
The result obtained on the screen is provided below,
This window is not a perfect viewing window.
c.
When the
Steps to plot the graph of the equation
Step 1: Press
Step 2: Use the down arrow key to reach
Step 3: Press
Step 4: Press
Step 5: Enter the function
Step 6: Press
For better view of graph.
Step 8: Press
The result obtained on the screen is provided below,
This is the perfect viewing window.
d.
When the
Steps to plot the graph of the equation
Step 1: Press
Step 2: Use the down arrow key to reach
Step 3: Press
Step 4: Press
Step 5: Enter the function
Step 6: Press
For better view of graph.
Step 8: Press
The result obtained on the screen is provided below,
This window has large view, in this the graph points are not clear.
So the perfect viewing window of the graph
The perfect viewing window is
Chapter 1 Solutions
EBK PRECALCULUS: MATHEMATICS FOR CALCUL
- Which sign makes the statement true? 9.4 × 102 9.4 × 101arrow_forwardDO these math problems without ai, show the solutions as well. and how you solved it. and could you do it with in the time spandarrow_forwardThe Cartesian coordinates of a point are given. (a) (-8, 8) (i) Find polar coordinates (r, 0) of the point, where r > 0 and 0 ≤ 0 0 and 0 ≤ 0 < 2π. (1, 0) = (r. = ([ (ii) Find polar coordinates (r, 8) of the point, where r < 0 and 0 ≤ 0 < 2π. (5, 6) = =([arrow_forward
- The Cartesian coordinates of a point are given. (a) (4,-4) (i) Find polar coordinates (r, e) of the point, where r > 0 and 0 0 and 0 < 0 < 2π. (r, 6) = X 7 (ii) Find polar coordinates (r, 8) of the point, where r < 0 and 0 0 < 2π. (r, 0) = Xarrow_forwardr>0 (r, 0) = T 0 and one with r 0 2 (c) (9,-17) 3 (r, 8) (r, 8) r> 0 r<0 (r, 0) = (r, 8) = X X X x x Warrow_forward74. Geometry of implicit differentiation Suppose x and y are related 0. Interpret the solution of this equa- by the equation F(x, y) = tion as the set of points (x, y) that lie on the intersection of the F(x, y) with the xy-plane (z = 0). surface Z = a. Make a sketch of a surface and its intersection with the xy-plane. Give a geometric interpretation of the result that dy dx = Fx F χ y b. Explain geometrically what happens at points where F = 0. yarrow_forward
- Example 3.2. Solve the following boundary value problem by ADM (Adomian decomposition) method with the boundary conditions მი მი z- = 2x²+3 дг Əz w(x, 0) = x² - 3x, θω (x, 0) = i(2x+3). ayarrow_forward6. A particle moves according to a law of motion s(t) = t3-12t2 + 36t, where t is measured in seconds and s is in feet. (a) What is the velocity at time t? (b) What is the velocity after 3 s? (c) When is the particle at rest? (d) When is the particle moving in the positive direction? (e) What is the acceleration at time t? (f) What is the acceleration after 3 s?arrow_forwardConstruct a table and find the indicated limit. √√x+2 If h(x) = then find lim h(x). X-8 X-8 Complete the table below. X 7.9 h(x) 7.99 7.999 8.001 8.01 8.1 (Type integers or decimals rounded to four decimal places as needed.)arrow_forward
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