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Precalculus Math Test Preparation Trigonometry

08/02/23

Hi, can someone explain me how to solve 2tan(x)=1-tan^2(x) and in the range. [0,2π)

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Precalculus Algebra 2

08/01/23

Please help with my math hw

The figure shows a parabola with a rectangle inscribed. The parabola is the graph of the function, y = f(x) = 8 – x2. The right vertex of the rectangle intersects the parabola at (x,y). Find a... more

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Precalculus

08/01/23

How do I solve with binomial theorem here?

Use the binomial theorem to find the term containing x^-19 in the expansion (-3x+1/x^6)^9

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Precalculus

07/30/23

For the given function, ƒ, determine if the function is discontinuous at a given point. State which condition of continuity fails or state the function is continuous at x = a.

For the given function, ƒ, determine if the function is discontinuous at a given point. State which condition of continuity fails or state the function is continuous at x = a.f(x) =... more

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Precalculus Calculus

07/29/23

Employ the limit of a quotient of polynomial to find limx→∞ P(x)/Q(x) , where P(x) and Q(x) are polynomial in x. What is the value of limx→∞ 4x^4 + 5x + 1 / 37x^3 − 9

Choices:A. no limit B. 0 C. −∞ D. 4/37

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Precalculus Calculus

07/29/23

A function f(x) is said to be continuous at a point x = a, in its domain if the following statements are satisfied:

I. f(a) exists II. lim x→a f(x) exists III. right-hand limit ≠ left-hand limitIV. Both are finiteChoices:A. Statements I, II, and III only B. Statements II, III, and IV only C. Statements I, II,... more

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Precalculus Calculus

07/29/23

The derivative of 1,000 is equal to _______.

A. ∞ B. nonexistence C. − ∞ D. 0

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Precalculus Calculus

07/29/23

Finding the derivatives of the inverse trigonometric functions involves using _____ and the derivatives of regular trigonometric functions.

Choices:A. Chain ruleB. explicit differentiation C. Implicit differentiationD. All of these

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Precalculus Calculus

07/29/23

The derivatives of trigonometric functions consist of sinx, cosx,tanx, cotx, secx, and cscx. All these functions are continuous and differentiable in their _______.

Choices:A. domains B. ranges C. intervals D. x and y – axes

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Precalculus Calculus

07/29/23

If a function f has a derivative at x = c, which of the following statements is TRUE?

I. Function f is continuous at x = C.II. The limit of f at x = C is differentiable and exists.III. Its graph cannot have a hole or jump at C.IV. The tangent to the graph of f can be vertical at x =... more

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Precalculus Calculus

07/29/23

In calculating the average rate of a function, which of the following statements holds TRUE?

Choices:A. Finding the slope of a tangent line between any two points in a function.B. Finding the average value between any two points in a given function.C. Finding the derivative of a graph at... more

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Precalculus Calculus

07/29/23

Which of the following is the first-step in getting the derivative using Four-Step-Rule?

A. Every increment x and ∆x and y by ∆y.B. Substitute y = f(x) and solve for ∆y.C. Divide both sides of the equation by ∆x.D. Determine the limit of both sides as ∆x approaches zero.

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Precalculus Trigonometry

07/28/23

Find an equation for the population

A population of mice is at its lowest in January (t=0) and oscillates 17 above and below an average of 93 during the year.Find an equation for the population, P, in terms of the months since... more

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Precalculus Trigonometry

07/28/23

Determine the amplitude

Determine the amplitude of the following function:y=3/5cos⁡(−7x)

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Precalculus

07/28/23

What is the population of rabbits in May?

A population of rabbits is at its lowest in January (t=0) and oscillates 29 above and below an average of 100 during the year. What is the population of rabbits in May?

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Precalculus

07/28/23

Find the temperature

The temperature during a day can be modeled by a sinusoid. Answer the following question given that the low temperature of 62 degrees occurs at 4 AM and the high temperature for the day is 88... more

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Precalculus Trigonometry

07/28/23

Write the function in terms of x.

Sounds are how we perceive pressure waves in the air. The note F-sharp, more than an octave below the note 'middle C', is a sound wave with an ordinary frequency* f=105.6 Hertz or cycles/sec. Model... more

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Precalculus Trigonometry

07/28/23

How would I graph the function of sin(3/5x)?

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Precalculus Algebra 2 Geometry

07/25/23

An object is moving linearly according to (x, y, z) = (100-4t, 60+2t, 60-4t). For what values of t is it 120m away from (0,0,0)? What is the closest it comes to (0,0,0)?

t = time in minutes; x, y, and z are measured in meters

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Precalculus

07/24/23

An airplane is flying at 400 km/h on a heading of 050°. The wind is blowing at 30 km/h at a bearing of 153°. Determine the ground velocity of the airplane and the direction of flight.

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Precalculus

07/24/23

Ship travels 58 km on a bearing of 23o from due north, then travels on bearing of 113o from due north for 134 km. To nearest kilometer, find distance from starting point to current location of ship.

a. 153 kmb. 192 kmc. 123 kmd. 146 km

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Precalculus

07/24/23

Find the exact value of the Double-Angle Formula tan (2A) given the cos (A) = -5/13.

a. 169/120b. 119/120c. 169/119d. 120/119

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Precalculus

07/24/23

Use the formula of a geometric sequence and find the sum of the first five terms. a1 = -3.449 and r = 1.727

a. 28.68b. -37.46c. -68.14d. 19.76

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Precalculus

07/24/23

Find the common ratio for the geometric sequence. a2 = 224 and a7 = 7

a. r = 4b. r = 2c. r = 0.5d. r = 0.25

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Precalculus

07/24/23

Determine the number of distinguishable different words that can be formed by rearranging the letters for the following word? ALGEBRA

a. 630b. 2520c. 5040d. 1260

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Hi, can someone explain me how to solve 2tan(x)=1-tan^2(x) and in the range. [0,2π)

Please help with my math hw

How do I solve with binomial theorem here?

For the given function, ƒ, determine if the function is discontinuous at a given point. State which condition of continuity fails or state the function is continuous at x = a.

Employ the limit of a quotient of polynomial to find limx→∞ P(x)/Q(x) , where P(x) and Q(x) are polynomial in x. What is the value of limx→∞ 4x^4 + 5x + 1 / 37x^3 − 9

A function f(x) is said to be continuous at a point x = a, in its domain if the following statements are satisfied:

The derivative of 1,000 is equal to _______.

Finding the derivatives of the inverse trigonometric functions involves using _____ and the derivatives of regular trigonometric functions.

The derivatives of trigonometric functions consist of sinx, cosx,tanx, cotx, secx, and cscx. All these functions are continuous and differentiable in their _______.

If a function f has a derivative at x = c, which of the following statements is TRUE?

In calculating the average rate of a function, which of the following statements holds TRUE?

Which of the following is the first-step in getting the derivative using Four-Step-Rule?

Find an equation for the population

Determine the amplitude

What is the population of rabbits in May?

Find the temperature

Write the function in terms of x.

How would I graph the function of sin(3/5x)?

An object is moving linearly according to (x, y, z) = (100-4t, 60+2t, 60-4t). For what values of t is it 120m away from (0,0,0)? What is the closest it comes to (0,0,0)?

An airplane is flying at 400 km/h on a heading of 050°. The wind is blowing at 30 km/h at a bearing of 153°. Determine the ground velocity of the airplane and the direction of flight.

Ship travels 58 km on a bearing of 23o from due north, then travels on bearing of 113o from due north for 134 km. To nearest kilometer, find distance from starting point to current location of ship.

Find the exact value of the Double-Angle Formula tan (2A) given the cos (A) = -5/13.

Use the formula of a geometric sequence and find the sum of the first five terms. a1 = -3.449 and r = 1.727

Find the common ratio for the geometric sequence. a2 = 224 and a7 = 7

Determine the number of distinguishable different words that can be formed by rearranging the letters for the following word? ALGEBRA

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I need help trying to sole tan^2 x =1 where x is more than or equal to 0 but x is less than or equal to pi

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