2,195 Answered Questions for the topic Pre Calculus

04/22/21

Which of the following functions grows the fastest as x goes to infinity
a)2xb)ln(x)c)sin(x)d)x20my answer is d
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04/21/21

The graph of f ′(x) is continuous and increasing with an x-intercept at x = 0. Which of the following statements is false?
a)The graph of f is always concave up.b)The graph of f has an inflection point at x = 0.c)The graph of f has a relative minimum at x = 0.d)The graph of the second derivative is always positive.
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Pre Calculus

04/21/21

how to solve this problem listed below.

If tan(θ)= 24/10, 0 ≤ θ ≤ π2, thenSEC θ= COS θ= SECθ=
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04/21/21

Using 4 equal-width intervals, show that the trapezoidal rule is the average of the upper and lower sum estimates for the integral from 0 to 4 of x squared, dx
Using 4 equal-width intervals, show that the trapezoidal rule is the average of the upper and lower sum estimates for 
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04/21/21

Precalculus question
If tanθ= - 12/5 and θ lies in quadrant 2, then what is the value of cos 2θ? 
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04/21/21

Precalculus help
If cos A=⅗, A is in quadrant 4, and cos B=⅘, B is in quadrant 1, then sin(A+B) = ____? 
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04/21/21

Precalculus question

What is the solution set of the equation sin^2θ = 2sinθ over the interval 0º ≤ θ < 360º? 
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04/20/21

Precalculus question

A 6m ladder leans against a vertical wall at an angle of 70º to the ground. What equation can be used to find the height the ladder reaches up the wall? I got cos70º = x/6, is that correct?
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04/20/21

Precalculus question
The area of a sector of a circle with radius 5 cm is 10 cm^2. Find the central angle in radians (x in the diagram)
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04/20/21

Pre calculus help

Solve the following for θ, where 0 ≤ θ < 2π. 2cos^2θ - 5cosθ = 3
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Pre Calculus Math Precalculus

04/20/21

Two observers, in the same vertical plane as a kite and 30 feet apart, observe the kite at angles of 62° 𝑎𝑛𝑑 78°, as shown below. Find the height of the kite, to the nearest foot
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Pre Calculus Math Precalculus

04/20/21

Pre calc question

Two dogs are 15 feet from each other. Dog A is 20 feet from the favorite toy in the house. Dog b is an unknown distance from the toy, but the angle made from the toy to each dog is 34°. What is the... more
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Pre Calculus Math Calculus Precalculus

04/20/21

Finding Unit Vector that is Perpendicular

If vector b=[3,6,2] and vector c=[0,0,8], find a unit vector perpendicular to both vector b and c.
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Pre Calculus Math Precalculus

04/20/21

Convert 𝑟 cos (𝜃 + 𝜋) = 8 to a rectangular equation. Then, determine the graph’s slope and y-intercept.
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04/20/21

Given f(x) > 0 with f ′(x) < 0, and f ″(x) > 0
Given f(x) > 0 with f ′(x) < 0, and f ″(x) > 0 for all x in the interval [0, 2] with f(0) = 1 and f(2) = 0.2, the left, right, trapezoidal, and midpoint rule approximations were used to... more
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04/20/21

The rate of decay in the mass
The rate of decay in the mass, M, of a radioactive substance is given by the differential equation  , where k is a positive constant. If the initial mass was 100g, then find the expression for the... more
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04/20/21

The slope of the tangent to a curve at any point (x, y) on the curve is negative 1 times x divided by y . Find the equation of the curve if the point (2, -2) is on the curve.
A)x + y = 0B)x2 - y2 = -2C)x2 + y2 = 16D)x2 + y2 = 8I believe the answer is D
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04/19/21

The slope of the tangent to a curve at any point (x, y) on the curve is x divided by y . Find the equation of the curve if the point (2, -3) is on the curve.
A) x2 + y2 = 13 B) x2 + y2 = 25 C) x2 - y2 = -5 D) x2 - y2 = 5
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04/19/21

Find the particular solution to y ' = sin(x) given the general solution is y = C - cos(x) and the initial condition y of pi over 2 equals 1
a) -cos(x) b) 2 - cos(x) c) -1 - cos(x) d) 1 - cos(x)
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Pre Calculus Math Precalculus

04/19/21

Convert 𝑟 cos (𝜃 + 𝜋) = 8 to a rectangular equation. Then, determine the graph’s slope and y-intercept.
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Pre Calculus Math Precalculus

04/19/21

Pre-calc question

A tangent line to a circle is a line that intersects the circle at exactly one point. The tangent line is perpendicular to the radius at the point of contact. Which an equation in point-slope form... more
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Pre Calculus Math Precalculus

04/19/21

regular decagon is inscribed in a circle with diameter of exactly 20 cm. Find the length of one side of the decagon, to the nearest tenth of a centimeter
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04/18/21

Given the function g(x) = x^2 + 2x, evaluate [g(x) − g(a)] /[x − a ], x ≠ a
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Pre Calculus Precalculus

04/16/21

Find all the values ​​of 𝑦 such that the distance between the points (−3,10) and (−2, 𝑦) is 29
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Pre Calculus Precalculus

04/16/21

𝑥2 + 𝑦2−18𝑥 + 6𝑦 + 26 = 0 is the equation of a circle with center (ℎ, 𝑘) and radius 𝑟 where: ℎ = 𝑘 = 𝑟 =
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