2,195 Answered Questions for the topic Pre Calculus

Pre Calculus Precalculus Pre Calculus

03/10/21

Solve each equation on the interval 0≤x<2π .
a) tan(x/2)=√3b) sin2x=√3/2
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Pre Calculus Calculus Calc Calculus 2

03/10/21

If an object moves along the​ y-axis (marked in​ feet) so that its position at time x​ (in seconds) is given by f(x)=240x−16x^2​, find the following.
If an object moves along the​ y-axis (marked in​ feet) so that its position at time x​ (in seconds) is given by f(x)=240x−16x^2​, find the following.​(A) The instantaneous velocity function... more
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03/10/21

9.5.89: The total sales of a company​ (in millions of​ dollars) t months from now are given by S(t)=0.04t^3+0.8t^2+8t+7.

The total sales of a company​ (in millions of​ dollars) t months from now are given by S(t)=0.04t^3+0.8t^2+8t+7. ​(A) Find S′(t).​(B) Find ​S(6​) and S′(6) ​(to two decimal​ places).​(C) Interpret... more
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Pre Calculus Calculus Calc Precalc

03/10/21

The total cost​ (in dollars) of producing x food processors is ​C(x)=2200+70x−0.3x^2.
The total cost​ (in dollars) of producing x food processors is ​C(x)=2200+70x−0.3x^2.​(A) Find the exact cost of producing the 91st food processor.​(B) Use the marginal cost to approximate the... more
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Pre Calculus Calculus Precalculus Calc

03/10/21

Find the marginal average cost function if cost and revenue are given by ​C(x)=144+5.8x and R(x)=9x−0.07x^2.
Find the marginal average cost function if cost and revenue are given by ​C(x)=144+5.8x and R(x)=9x−0.07x^2.The marginal average cost function is C′(x)= ______________
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03/10/21

Find the profit function if cost and revenue are given by ​C(x)=128+2.4x and R(x)=8x−0.03x^2
Find the profit function if cost and revenue are given by ​C(x)=128+2.4x and R(x)=8x−0.03x^2The profit function is ​P(x)= ________
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03/10/21

Find the marginal revenue function.
Find the marginal revenue function.​R(x)=x(17−0.05x)R′(x)= _________
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03/10/21

9.7.11 Find the marginal cost function
Find the marginal cost function.​C(x)=210+3.3x−0.07xC′(x) = ____________
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Pre Calculus Math Calculus Precalculus

03/09/21

ln2=0.6931 and ln5=1.6094 Find ln (1/5) (Show Work)
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Pre Calculus

03/08/21

You invest 1000 dollars in an investment instrument that promises to pay an annual interest rate of 6.25%, compounded continusouly.

How long will it take for the value of your investment to triple? Justify your answer and express it in years, rounded to the nearest day.
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Pre Calculus Calculus Precalculus

03/08/21

feet/second help
A rotating light is located 11 feet from a wall. The light completes one rotation every 4 seconds. Find the rate at which the light projected onto the wall is moving along the wall when the light's... more
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03/07/21

feet per second help
A rotating light is located 11 feet from a wall. The light completes one rotation every 4 seconds. Find the rate at which the light projected onto the wall is moving along the wall when the light's... more
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03/07/21

rate of revenue help?
A company's revenue from selling x units of an item is given as R=1400x−2x2. If sales are increasing at the rate of 60 units per day, how rapidly is revenue increasing (in dollars per day) when 180... more
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03/05/21

Precalc word problem
A small cruising ship that can hold up to 70 people provides three-day excursions to groups of 48 or more. If the group contains 48 people, each person pays $64$. The cost per person for all... more
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03/05/21

Maximum height attained by arrow.
An arrow is launched upward with a velocity of 96 feet per second from the top of a 60-foot stage. What is the maximum height attained by the arrow?
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03/05/21

How far is the boat from the second tower? Round your answer to the nearest tenth of a mile.
A watchtower spots a ship off shore at a bearing of N70◦E. A second tower, which is 50 miles from the first at a bearing of S80◦E from the first tower, determines the bearing to the ship to be... more
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03/05/21

In a triangle angle A measure 42 degrees, side a is 6 in and side c is 9 units. What are the possible measurements for angle B?
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Pre Calculus

03/04/21

Find all solutions in the interval [ 0 , 2 π ) . Respond with DNE if there are none. tan 2 ( x ) − 1 = 0

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Pre Calculus Precalculus Earth Science

03/03/21

Pre- calc question

5. Prehistoric cave paintings were discovered in a cave. The paint contained 30% of the original carbon-14. The decay rate for carbon-14 is −0.000121. Estimate the age of the paintings.
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Pre Calculus Math Precalculus

03/03/21

Pre-calc question

Determine the Domain of 𝑦 = 3 log4 (𝑥2 − 4)
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03/03/21

Domain and Range pre- calc question

Determine the inverse of the one-to-one function 𝑓(𝑥) = 3−4𝑥 7+8𝑥 State the domain and range of the inverse
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Pre Calculus Math Precalculus

03/03/21

Pre-calc help question

Express as a single logarithm 1/2 log(𝑥 − 1) + 7log 𝑥 − 1/3 log(𝑥 + 2) − 2 log 4
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03/03/21

Find the shortest length of wire needed in ft
A 123 ft tower is located on the side of a mountain that is inclined 36° to the horizontal. A guy wire is to be attached to the top of the tower and anchored at a point 41 ft downhill from the base... more
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03/03/21

If she maintains a constant speed of 655 miles per hour, how far is she from her starting position?
A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10 degrees to the right of her original course, and flies 2 h in the new direction. If she maintains a... more
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03/03/21

What is a rational function that satisfies the following properties
What is a rational function that satisfies the following propertiesA zero at x=3A hole when x=5A vertical asymptote at x=-1A horizontal asymptote at y=3A y-intercept at y=-9*if someone could please... more
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