12,222 Answered Questions for the topic precalculus

Precalculus Trigonometry

10h

#### Establish the identity. tan v − 1 / tan v +1 = 1 − cot v / 1 + cot v

Which of the following statements establishes the identity?A. tan v - 1 / tan v + 1 = tan v - 1 / tan v + 1 x tan v + 1 / tan v + 1 = tan2v - 1 / (tan v + 1)2 = 1 - cot v / 1 + cot v.B. tan v -...
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Precalculus Trigonometry

10h

#### Establish the identity. 1 − sec θ / tan θ − tan θ / 1 − sec θ = 2 cot θ

Write the left side of the expression with a common denominator. Do not expand the numerator.? / tan θ(1 - sec θ).Expand and simplify the numerator by rewriting without any parentheses. ? - tan2θ /...
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Precalculus Trigonometry

10h

#### Establish the identity.−tan t + cos t / 1−sin t = sec t.

Write the left side in terms of sine and cosine. - ? + cos t / 1 - sin t.Add fractions from the previous step. Apply the appropriate Pythagorean identity to simplify the numerator.? / cos t(1 -...
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Precalculus Trigonometry

10h

#### Establish the identity. (6cosθ−7sinθ)^2 + (7cosθ+6sinθ)^2 = 85

Rewrite the left side by removing the parentheses.? + 49 cos2θ + 84 cos θ sin θ + 36 sin2θRewrite the expression found in the previous step by combining like terms.? (Do not factor.)Rewrite the...
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Precalculus Trigonometry

11h

#### Establish the identity. 4 cot u - tan u / cot u + tan u + 1 = 5 cos^2 u

Write the left side in terms of sine and cosine.?/? + 1 (Do not simplify.)Write the expressions in the numerator and denominator from the previous step as single quotients with the common...
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Precalculus

11h

#### Establish the identity. tan u - sec u = - cos u / 1 + sin u

Write the left side in terms of sine and cosine.tan u - sec u = ? - ?.Simplify by writing the expression from the previous step over a common denominator.? / cos u.Rewrite the expression from the...
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1d

#### What is the inverse of the function f (x) = 3(x + 4)2 – 2, such that x ≤ –4?

What is the inverse of the function f (x) = 3(x + 4)2 – 2, such that x ≤ –4?

Precalculus

2d

#### Establish the identity. tan^2(-theta)+1=sec^2 theta

Which of the following four statements establishes the identity?A. tan2(-theta) + 1 = - tan2(-theta) + 1 = tan2(theta) + 1 = sec2(theta)B. tan2(-theta) + 1 = (-tan theta)2+1 = tan2theta +1 = sec2...
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Precalculus

2d

#### Solve the equation x + 6 cos x = 0 using a graphing utility

A. The solution set is.B. There is no solution

Precalculus Algebra

3d

#### Use f(x) = 4x − 2 and g(x) = 3 − x^2 to evaluate the expression

(a) (f ∘ g)(x)(b) (g ∘ f)(x)

Precalculus Algebra

3d

#### Find f + g, f − g, fg, and f/g and their domains.

f(x) = x, g(x) = square root xFind (f + g)(xFind the domain of (f + g)(x). (Enter your answer using interval notation.)Find the domain of (f − g)(x).(Enter your answer using interval...
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Precalculus

3d

#### Question 10 on Precalculus

f(x)=x^3+3x^2-9x+5Math problem We’ll notify you by email whenever a tutor answers your question or when you receive comments for more clarificationInclude a title to your question and a more...
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#### The Ironman Triathlon is a race that consists of 3 parts: a 2.4 mile swim followed by a 112 mile bike race and then a 26.2 mile marathon.

The Ironman Triathlon is a race that consists of 3 parts: a 2.4 mile swim followed by a 112 mile bike race and then a 26.2 mile marathon. Jack swims steadily at 2 mph, cycles steadily at 20 mph,...
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#### Calculus Question

Please answer the following questions and show all steps. Thank you in advance.
Given the points X(0, 2, –1), Y(3, 1, 2), and Z(–3, 2, 5), find (Vector XY × Vector XZ) • Vector YZ.
If vector b =...
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6d

#### Find all the critical numbers of the function. Find the open interval on which the function is decreasing or increasing and locate all relative extrema.

Find all the critical numbers of the function. Find the open interval on which the function is decreasing or increasing and locate all relative extrema.
f(x)=x^2(3-x)
f(x)=x^4-2x^2/3x

6d

#### Find the open interval on which the function f(x)=x^2/x+1 is increasing or decreasing

Find the open interval on which the function f(x)=x^2/x+1 is increasing or decreasing

6d

#### Find the open interval on which the function f(x)=x^4-3x^2+5x is increasing or decreasing

Find the open interval on which the function f(x)=x^4-3x^2+5x is increasing or decreasing

Precalculus

8d

#### I just have one question about sales tax

The sales tax of an item is 8.4%. Express the total cost, C, in terms of the price of the item, P.

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