15,254 Answered Questions for the topic precalculus

Precalculus

10/26/22

Find b and c so that y = 14 x 2 + b x + c has vertex ( 3 , 6 ) .

Help, please.
Precalculus Math Calculus Prealgebra

10/26/22

Can anybody help me solve 6 through 8

I have nearly tried 5 different times to figure out these questions, and I am really struggling with these calculus questions. These are the only questions I'm struggling with right now. I might... more
Precalculus Math Calculus Trigonometry

10/26/22

Proving the identity

What are the steps and transformations for the expression:(1+cos^2x) / (sin^2x) = 2csc^2x-1For example, a part asks for 1+cos^2x = ? (and we have to choose from a tangent identity, double-angle... more
Precalculus Math Calculus Trigonometry

10/26/22

Find the six function values

Given that sinθ=1/5 and that the terminal side is in quadrant II, give an exact answer for each of the six function values for pi/2-θ AND θ-pi/2.(Simplify your​ answer).
Precalculus Math Calculus Mathematica

10/26/22

Given that P(81) = 71 and P'(81) = -20, approximate P(72).

Given that P(81) = 71 and P'(81) = -20, approximate P(72).P(72) ≈ ?
Precalculus Math Geometry

10/25/22

How do I make this equation into a real life problem by graphing? ty

Draw the ellipse given by 9x² + 16y²= 144 Identify the foci.
Precalculus

10/25/22

I have to construct a polynomial of least degree possible.

Real roots: 4,2,14,2,1 and contain the point (−3,−5)(-3,-5).
Precalculus Math Calculus Trigonometry

10/25/22

How to prove identity for the expression

What are the steps and transformations for the expression:(1+cos^2x) / (sin^2x) = 2csc^2x-1
Precalculus Math Calculus Trigonometry

10/25/22

Proving the identity

What are the steps and transformations for the expression in proving the following identity:tanθ(tanθ+cotθ)=sec^2θ
Precalculus Math Calculus Trigonometry

10/25/22

Find the six function values for pi/2-θ

Given that sinθ=1/5 and that the terminal side is in quadrant II, give an exact answer for each of the six function values for pi/2-θ AND θ-pi/2. (Simplify your​ answer, including any radicals. Use... more
Precalculus

10/24/22

Pre-Calculus Problem Re-Phrasing

Suppose that a pwd ramp that has a 3° slope must be built against a flight of stairs of 5 meters high that is beside a sidewalk of 7 meters long. The standard size of wheelchair width is 0.66cm.... more
Precalculus Math Calculus Mathematica

10/24/22

Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate of 3 mi^2/hr. How rapidly is the radius of the spill increasing when the area is 6 mi^2?

Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate of 3 mi^2/hr. How rapidly is the radius of the spill increasing when the area is 6 mi^2?Find the... more
Precalculus

10/24/22

Graphs of Exponential Functions

To get the graph of g(x), the graph of 𝑓(𝑥) = (3.1)^x  is shifted 2 units to the left, compressed vertically by a factor of 3/5 , reflected about the x-axis, and then shifted up 1units.a. (1) Write... more
Precalculus

10/24/22

An object at a temperature of 90°C is placed in a room at 20°C. The temperature of the object is given by

T = 20 + 70e-0.07mwhere m represents the number of minutes after the object is placed in the room. How long (in minutes) does it take the object to reach a temperature of 70°C? (Round your answer... more
Precalculus

10/24/22

Quadratic function

At a certain vineyard it is found that each grape vine produces about 10 lb of grapes in a season when about 500 vines are planted per acre. For each additional vine that is planted, the production... more
Precalculus

10/24/22

What is the temperature in Fahrenheit of the cake after 35 minutes?

Over a period of time, a hot object cools to the temperature of the surrounding air. This is described mathematically by Newton's Law of Cooling T=C+ (To-C) e where t is the time it takes for an... more
Precalculus

10/24/22

What is the temperature of the cake after 35 minutes?

- kt Over a period of time, a hot object cools to the temperature of the surrounding air. This is described mathematically by Newton's Law of Cooling T=C+ (To-C) e where t is the time it takes for... more
Precalculus

10/24/22

Equation Term Base

Rewrite the following equation in terms of base e. Express the answer in terms of a natural logarithm, then round to three decimal places. y=1.1(0.6)* CER Rewrite the equation in terms of base e.... more
Precalculus

10/24/22

PreCalculus Question

Prehistoric cave paintings were discovered in a cave in France. The paint contained 25% of the original carbon-14. Use the exponential decay model for A=A₁ e -0.000121t to estimate the age of the... more
Precalculus

10/24/22

Pre-Calculus Problem

Suppose that a pwd ramp that has a 3° slope must be built against a flight of stairs of 5 meters high that is beside a sidewalk of 7 meters high. The standard size of wheelchair width is 0.66cm.... more
Precalculus Math

10/24/22

Parabola word problem

fountain sprayed out a shape of a parabolic arc. water flows from one port on the ground into another there as well. What is the distance of the water arc 5ft above the ground if the ports are 13ft... more

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