Chapter 5

Technical Mathematics with Calculus · 76 exercises

Problem 1

Find the slope of each straight line. Rise \(=4 ;\) run \(=2\)

4 step solution

Problem 1

Graph each function. Set the viewing window for \(x\) and \(y\) initially from -5 to 5 then resize if needed. $$y=x^{2}$$

5 step solution

Problem 1

If \(h\) and \(k\) are positive quantities, in which quadrants would the following points lie? $$(h,-k)$$

3 step solution

Problem 1

For each equation make a table of point pairs, taking integer values of \(x\) from -3 to 3, plot these points, and connect them with a smooth curve. $$y=3 x+1$$

4 step solution

Problem 2

Find the slope of each straight line. Rise \(=6 ;\) run \(=4\)

3 step solution

Problem 2

Graph each function. Set the viewing window for \(x\) and \(y\) initially from -5 to 5 then resize if needed. $$y=4-2 x^{2}$$

4 step solution

Problem 2

If \(h\) and \(k\) are positive quantities, in which quadrants would the following points lie? $$(h, k)$$

3 step solution

Problem 2

For each equation make a table of point pairs, taking integer values of \(x\) from -3 to 3, plot these points, and connect them with a smooth curve. $$y=2 x-2$$

4 step solution

Problem 3

Find the slope of each straight line. Rise \(=-4.25,\) run \(=5.33\)

4 step solution

Problem 3

Graph each function. Set the viewing window for \(x\) and \(y\) initially from -5 to 5 then resize if needed. $$y=3 x-2$$

5 step solution

Problem 3

If \(h\) and \(k\) are positive quantities, in which quadrants would the following points lie? $$(-h, k)$$

2 step solution

Problem 3

For each equation make a table of point pairs, taking integer values of \(x\) from -3 to 3, plot these points, and connect them with a smooth curve. $$y=3-2 x$$

4 step solution

Problem 4

Find the slope of each straight line. Rise \(=7.93,\) run \(=-2.66\)

4 step solution

Problem 4

Graph each function. Set the viewing window for \(x\) and \(y\) initially from -5 to 5 then resize if needed. $$y=1-2 x$$

4 step solution

Problem 4

If \(h\) and \(k\) are positive quantities, in which quadrants would the following points lie? $$(-h,-k)$$

2 step solution

Problem 4

For each equation make a table of point pairs, taking integer values of \(x\) from -3 to 3, plot these points, and connect them with a smooth curve. $$y=-x+2$$

4 step solution

Problem 5

Find the slope of each straight line. Connecting (2,4) and (5,7)

5 step solution

Problem 5

Graph each function. Set the viewing window for \(x\) and \(y\) initially from -5 to 5 then resize if needed. $$y=x^{2}-2 x-1$$

6 step solution

Problem 5

Which quadrant contains points having a positive abscissa and a negative ordinate?

2 step solution

Problem 5

For each equation make a table of point pairs, taking integer values of \(x\) from -3 to 3, plot these points, and connect them with a smooth curve. $$y=x^{2}$$

4 step solution

Problem 6

Find the slope of each straight line. Connecting (5,2) and (3,6)

3 step solution

Problem 6

Graph each function. Set the viewing window for \(x\) and \(y\) initially from -5 to 5 then resize if needed. $$y=x^{2}+3 x+1$$

7 step solution

Problem 6

In which quadrants is the ordinate negative?

3 step solution

Problem 6

For each equation make a table of point pairs, taking integer values of \(x\) from -3 to 3, plot these points, and connect them with a smooth curve. $$y=4-2 x^{2}$$

4 step solution

Problem 7

Find the slope of each straight line. $$\text { Connecting }(-2.84,5.11) \text { and }(5.23,-6.22)$$

5 step solution

Problem 7

Graph each function. Set the viewing window for \(x\) and \(y\) initially from -5 to 5 then resize if needed. $$y=x^{3}-x$$

5 step solution

Problem 7

In which quadrants is the abscissa positive?

3 step solution

Problem 8

Graph each function. Set the viewing window for \(x\) and \(y\) initially from -5 to 5 then resize if needed. $$y=2 x-x^{3}$$

8 step solution

Problem 8

Find the slope of each straight line. $$\text { Connecting }(3.88,-3.64) \text { and }(-6.93,2.69)$$

4 step solution

Problem 8

The ordinate of any point on a certain straight line is \(-5 .\) Give the coordinates of the point of intersection of that line and the \(y\) axis.

3 step solution

Problem 8

For each equation make a table of point pairs, taking integer values of \(x\) from -3 to 3, plot these points, and connect them with a smooth curve. $$y=x^{2}-7 x+10$$

4 step solution

Problem 9

Graph each function. Set the viewing window for \(x\) and \(y\) initially from -5 to 5 then resize if needed. $$y=x^{3}-2$$

4 step solution

Problem 9

Find the slope and \(y\) intercept of each straight line and make a graph. $$y=3 x-5$$

5 step solution

Problem 9

Find the abscissa of any point on a vertical straight line that passes through the point (7,5).

3 step solution

Problem 9

For each equation make a table of point pairs, taking integer values of \(x\) from -3 to 3, plot these points, and connect them with a smooth curve. $$y=x^{2}-1$$

5 step solution

Problem 10

Graph each function. Set the viewing window for \(x\) and \(y\) initially from -5 to 5 then resize if needed. $$y=3.73-1.77 x^{2}$$

8 step solution

Problem 10

Find the slope and \(y\) intercept of each straight line and make a graph. $$y=7 x+2$$

4 step solution

Problem 10

For each equation make a table of point pairs, taking integer values of \(x\) from -3 to 3, plot these points, and connect them with a smooth curve. $$y=5 x-x^{2}$$

4 step solution

Problem 11

Graph each function. Set the viewing window for \(x\) and \(y\) initially from -5 to 5 then resize if needed. $$y=1.74 x^{2}-2.35 x+1.84$$

5 step solution

Problem 11

Find the slope and \(y\) intercept of each straight line and make a graph. $$y=-\frac{1}{2} x-\frac{1}{4}$$

5 step solution

Problem 11

For each equation make a table of point pairs, taking integer values of \(x\) from -3 to 3, plot these points, and connect them with a smooth curve. $$y=x^{3}$$

5 step solution

Problem 12

Graph each function. Set the viewing window for \(x\) and \(y\) initially from -5 to 5 then resize if needed. $$x^{2}-2 x-y+2=0$$

8 step solution

Problem 12

Find the slope and \(y\) intercept of each straight line and make a graph. $$y=-1.75 x-5.44$$

4 step solution

Problem 12

Graph each point. (a) (3,5) (b) (4,-2) (c) (-2.4,-3.8) (d) (-3.5,1.5) (e) (-4,3) (f) (-1,-3)

7 step solution

Problem 12

For each equation make a table of point pairs, taking integer values of \(x\) from -3 to 3, plot these points, and connect them with a smooth curve. $$y=x^{3}-2$$

4 step solution

Problem 13

Graph each function. Set the viewing window for \(x\) and \(y\) initially from -5 to 5 then resize if needed. $$y-2 x^{2}-3 x=3$$

5 step solution

Problem 13

Write the equation of each straight line and make a graph. Slope \(=4 ; y\) intercept \(=-3\)

3 step solution

Problem 13

Graph each set of points, connect them, and identify the geometric figure formed. \((0.7,2.1),(2.3,2.1),(2.3,0.5),\) and (0.7,0.5)

3 step solution

Problem 13

Rewrite each equation in explicit form and graph for integer values of \(x\) from -3 to 3 . $$x+y-5=0$$

4 step solution

Problem 14

Graph each function. Resize the viewing window or use the Zoom feature, if needed, to obtain a complete graph. Then use TRACE and ZOOM or built-in operations to locate any zeros, maximum points, or minimum points. $$y=2 x^{2}-14 x+22$$

4 step solution

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Chapter 5 - Technical Mathematics with Calculus Solutions | StudyQuestionHub