1,361 Answered Questions for the topic Functions

Functions Trigonometry

11h

#### Find all solutions of the equation in the interval [0,2pi).

Find all solutions of the equation in the interval [0,2pi). sin2x=2+2cosxWrite your answer in radians in terms of pi. If there is more than one solution, separate them with commas. x=

Functions Trigonometry

1d

#### Find the values of sine, cosine, tangent, cosecant, secant, and cotangent for the angle θ in standard position on the coordinate plane with the point (7,4) on its terminal side

sinθ= ?cosθ= ?tanθ= ?cscθ= ?secθ= ?cotθ= ?

2d

#### Read Description Set-builder notation { x |1 ≤ x ≤ 3 or x > 5 }

Is it correct to use the ^(and) sign instead of or in the above notation?

Functions Trigonometry

5d

#### Use a special right triangle to find the sine, cosine, tangent, cosecant, secant, and cotangent of π/4.

sin π/4 =cos π/4 = tan π/4 =csc π/4 =sec π/4 =cot π/4 =

Functions Trigonometry

6d

#### Suppose that θ is an acute angle and that cos θ = 9/ √85. Use a right triangle to find all the other trigonometric functions of θ.

sin 0= ?tan 0= ?sec 0= ?cot 0= ?csc 0= ?

#### combining functions

f(x)=x3−4 and g(x)=x3 Step 1 of 2: Find the formula for (f∘g)(x) and simplify your answer. Then find the domain for (f∘g)(x)(f*g)(x)=???Domain=???

9d

#### The mathematical model for learning an assembly-line procedure needed for assembling one component of a manufactured item is n = -5 In (0.89/P-1)

The mathematical model for learning an assembly-line procedure needed for assembling one component of a manufactured item is n = -5 In (0.89/P-1) where P is the proportion of correctly assembled...
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#### PLEASE HELP - The number of bacteria in a sample is increasing according to an exponential model.

The number of bacteria in a sample is increasing according to an exponential model. After three hours, the sample contained 100 bacteria. After nine hours, the sample contained 400 bacteria. Write...
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9d

#### An investor wants to analyze the earnings of a mutual fund account. Seven years ago, the value of the account wa

An investor wants to analyze the earnings of a mutual fund account. Seven years ago, the value of the account was $23,000 and it is now worth $28,750 (no additional deposits were made). If the...
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#### Suppose $18,100 is invested in a monthly compounded account at 3.01%. Approximately how long will it take for the balance to reach $39,820 ?

Suppose $18,100 is invested in a monthly compounded account at 3.01%. Approximately how long will it take for the balance to reach $39,820 ?Round the answer to the nearest tenth of a year. ? years

#### A radioactive substance decays from 85mg to 22.1mg in 25 years according to the exponential decay model y=ae-bx, where a is the initial amount and y is the amount remaining after years.

A radioactive substance decays from 85mg to 22.1mg in 25 years according to the exponential decay model y=ae-bx, where a is the initial amount and y is the amount remaining after years. Find...
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#### combining functions

Find (f∘g)(2) for the following functions. f(−9)=−13 and g(2)=−9(f*g)(2)=???

#### combining functions

f(x)=4x and g(x)=cube of √x Step 2 of 2 : Find the formula for (f/g)(x) and simplify your answer. Then find the domain for (f/g)(x).(f/g)(x)=???Domain=???

#### A radioactive substance decays from 85mg to 22.1mg in years according to the exponential decay model

A radioactive substance decays from 85mg to 22.1mg in years according to the exponential decay model y=ae-bx, where a is the initial amount and y is the amount remaining after years. Find...
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Functions Calculus

11d

#### How will we find the inverse of x^5/1+x^4 ?

#### Find the values of x such that f(x)<h(x) given f(x)=1-4^(2-x)[(1/2)^(x+3)] and h(x)=8^x

Find the values of "x" given:
f(x)<h(x)
f(x)=1-4^(2-x)[(1/2)^(x+3)]
h(x)=8^x

#### If log m (ab) = 4 and log m (a/b) = 12, then find log m a / log m b

Hello! I would really appreciate some assistance in solving this problem algebraically. Thank you in advance!

#### Given the function f(x)=1-4^(2-x)[(1/2)^(x+3)], find the value/s of x such that f(x)<h(x) if h(x)=8^x

Hello! I would greatly appreciate any assistance in solving this problem involving exponential functions. Thank you in advance!

#### Challenging cylindrical problem with a derivate solution (no calculator allowed)

A closed cylindrical can with radius r centimetres and height h centimetres has a volume of 20π cm3. (Express the function as h in terms of r)The material for the base and top of the can costs 10...
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