15,254 Answered Questions for the topic precalculus

Precalculus

11/12/23

Find all values of x in the interval [0, 2𝜋] that satisfy the equation. (Enter your answers as a comma-separated list.)
14 + 7 cos(2x) = 21 cos(x)
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Precalculus

11/12/23

Find all values of x in the interval [0, 2𝜋] that satisfy the equation. (Enter your answers as a comma-separated list.)
3|tan(x)| = 3
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Precalculus Trigonometry

11/12/23

Find all values of x in the interval [0, 2𝜋] that satisfy the equation. (Enter your answers as a comma-separated list.)

16 sin2(x) = 8
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Precalculus

11/11/23

Precalc parabola word problem

The loft in Casa Batlló in Barcelona, contains a series of sixty catenary arches which closely resemble parabolas. The left side of the arch is close to parabolic in shape all the way to the floor.... more
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Precalculus Calculus

11/09/23

A farmer builds a rectangular grid of pens with 1 row and 5 columns using 850 feet of fencing. What dimensions will maximize the total area of the pen?

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Precalculus

11/09/23

How do I go about finding the remaining angles and sides
1a. b=30, c=60, Angle A=70degrees2a. a=20, b=25, c=22I am sure I am meant to use the law of cosines, but for the first one, I keep getting values that seem too small. like less than 1. Is there... more
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Precalculus Math

11/08/23

Supply of a product increases according to the model.
Supply of the product increases according to the model S(p) = aln(p-b) thousand units per week at a price of p dollars per unit. Suppliers are first willing to provide the product when it is priced... more
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Precalculus Math

11/08/23

Find the formula for the logarithmic function.
Find the formula for the logarithmic function of the form:f(t) = a + logb(t)Whose graph contains the points (4, -0.5) and (16, 0)
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Precalculus

11/08/23

Exponential Growth/Decay
A frozen steak initially has a temperature of 26°F. It is left to thaw in a room that has a temperature of 71°F. After 9 ​minutes, the temperature of the steak has risen to 36°F. After how many... more
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Precalculus

11/08/23

Exponential Growth/Decay
A bottle of seltzer water initially has a temperature of 79°F. It is left to cool in a refrigerator that has atemperature of 38°F. After 10 minutes the temperature of the seltzer water is 66°F.... more
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Precalculus

11/08/23

Exponential Growth/Decay
The logistic growth function P(x)=(90)/(1+271e^−0.122x) models the​ percentage, P(x), of Americans who are x years old and have some coronary heart disease. Use this function to find the percentage... more
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Precalculus

11/08/23

Exponential Growth/Decay
A logistic growth model for world​ population, f(x), in​ billions, x years after 1968 is f(x)=(12.57)/(1+4.11e^−0.026x). According to this​ model, when will the world population be 8 ​billion?
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Precalculus

11/08/23

Express with only positive exponents. (32 x4 y4 )-3 / (33 x-5 y5)-5
(32 x4 y4 )-3 / (33 x-5 y5)-5
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Precalculus Math Science Biology

11/08/23

Electric Potential and Energy Storage

The plates of a certain parallel-plate capacitor have been set with a separation of d = 4.15 mm, and each has an area of A = 50 cm2. After charging the capacitor, each plate carries a full charge... more
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Precalculus

11/08/23

Farmer Ed has 2,000 meters of fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the river what is the largest area allowed enclosed?
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Precalculus Trigonometry

11/07/23

Verify the identity by converting the left side into sines and cosines. (Simplify at each step.
5 cot2(y)(sec2(y) − 1) = 5
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Precalculus Trigonometry

11/07/23

Verify the identity by converting the left side into sines and cosines. (Simplify at each step.
7 sec(x) − 7 cos(x) = 7 sin(x) tan(x)
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Precalculus Math

11/07/23

Using interval notation, identify the implied domain of the restricted function
Using interval notation, identify the implied domain of the restricted function f(t)=2(e)^t with image [1,6]. Express each value in its unrounded, exact form.
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Precalculus

11/07/23

Convert from Polar to Rectangular
Convert the polar equation to a rectangular equation. Then use a rectangular coordinate system to graph the rectangular equation.r=6cscΞThe rectangular equation for r=6cscΞ is ________.
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Precalculus

11/07/23

Vector Question
The magnitude and direction exerted by two tugboats towing a ship are 1640 kilograms, N30°W, and 1260 kilograms, S60°W, respectively. Find the magnitude in kilograms, and the direction angle, in... more
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Precalculus

11/07/23

How do you do this?
Approximate the arc length of the graph of the function f(x)=√x on the interval [0,32] using n=4. If necessary, round any intermediate calculations to no less than six decimal places and round your... more
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Precalculus Trigonometry

11/07/23

Use an inverse trigonometric function to write 𝜃 as a function of x.
right trianglehyp= 6opp= x+3adj=?
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Precalculus Math Calculus

11/07/23

Rewrite sin(tan^-1(u/sqrt(25-u^2))) as an algebraic expression in u.
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Precalculus Trigonometry

11/07/23

Find the exact value of the expression, if possible. (If not possible, enter IMPOSSIBLE.) sin(cos−1( sqrt 3 ))
sin(cos^-1ï»ż(√3))
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Precalculus

11/07/23

precalculus 12 grade
Given f(x)=5^x, which function represents a reflection across the x-axis, a vertical dilation by 3, a vertical translation of 1 unit, and a horizontal translation of 2 units... more
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