AnswersLAUSD-Pre-Calculus B PrescriptiveUnit Test

Matrices and Their Inverses Answers

5 verified answers
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The height, h, in feet of a ball suspended from a spring as a function of time, t, in seconds can be modeled by the equation . Which of the following is the graph of this equation?

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On a coordinate plane, a curve crosses the y-axis at (0, 5). It increases to (2, 8), and then decreases to (6, 2).
Option A
B
On a coordinate plane, a curve crosses the y-axis at (0, 8). It decreases to (4, 2), and then increases to (8, 8).
Option B
C
On a coordinate plane, a curve crosses the y-axis at (0, 5). It increases to (1, 8), and then decreases to (3, 2).
Option C
D
On a coordinate plane, a curve crosses the y-axis at (0, 5). It decreases to (2, 1), and then increases to (3, 8).
Option D
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Which shows all the exact solutions of ? Give your answer in radians.

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and
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and
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, , , and
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, , , and
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3

The blades of a windmill turn on an axis that is 35 feet above the ground. The blades are 10 feet long and complete two rotations every minute. Which of the following equations can be used to model h, the height in feet of the end of one blade, as a function of time, t, in seconds? Assume that the blade is pointing to the right, parallel to the ground at t = 0 seconds, and that the windmill turns counterclockwise at a constant rate.

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h = negative 10 sine (StartFraction pi Over 15 EndFraction t) + 35
Option A
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h = negative 10 sine (Pi t) + 35
Option B
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h = 10 sine (StartFraction pi Over 15 EndFraction t) + 35
Option C
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h = 10 sine (Pi t) + 35
Option D
4

Find csc x if sin x + cot x cos x = .a.9b.3c.d.

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Express as a trigonometric function of an angle in Quadrant I.a.c.b.d.

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a.c.b.d.

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Given , find a numerical value of one trigonometric function of x.a.c.b.d.

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What is the range of ?

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Which sum or difference identity would you use to verify that sin (90° + q) = cos q?a.cos (a -b) = cos a cos b + sin a sin bb.sin (a +b) = sin a cos b + cos a sin bc.sin (a -b) = sin a cos b- cos a sin bd.cos (a +b) = cos a cos b - sin a sin b

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Use Demoivres Theorem to find .a.32 - 32ic.-32 + 32ib.-32id.32

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Assume that and . Find the exact value of if and . a.c.b.d.

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Express as a function of an angle in Quadrant I.a.c.b.d.

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Use a half-angle identity to find the exact value of .a.c.b.d.

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Use a half-angle identity to find the exact solution of .a.c.b.d.

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Evaluate a.c.b.d.

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Find the value of .a.0 c.2b.d.

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Find the exact value of .a.c.b.d.

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If a and b are the measures of two first quadrant angles and and find . a. c. b. d. Please select the best answer from the choices provided

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What basic trigonometric identity would you use to verify that ? a. c. b. d. Please select the best answer from the choices provided

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20

An object is attached to a spring that is stretched and released. The equation models the distance, d, of the object in inches above or below the rest position as a function of time, t, in seconds. Approximately when will the object be 6 inches above the rest position? Round to the nearest hundredth, if necessary.

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0 seconds
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1.38 seconds
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4.62 seconds
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8 seconds

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