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Precalculus

10/27/22

What is the measure of an angle θ that is coterminal with an angle of measure −17π6 where 0≤θ≤2π.

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Precalculus

10/27/22

Rewrite the equation in terms of base e.

Rewrite the equation in terms of base e. Express the answer in terms of a natural logarithm and then round to three decimal places.y=101(4.8)xQuestion content area bottomPart 1Express the answer in... more

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Precalculus

10/27/22

How long will it take for a sample of this substance to decay to 60% of its original amount?

Use the exponential decay model, A=A0ekt, to solve the following.The half-life of a certain substance is 21 years. Question: How long will it take for a sample of this substance to decay to 60%... more

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Precalculus

10/27/22

Where possible, evaluate logarithmic expressions

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.... more

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Precalculus

10/27/22

if loga x, then which of the following does it equal?

If y=loga x, then A. a=x^y B. y=a^x C. x=loga y D. x=a^yWhich of the following above?

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Precalculus

10/27/22

What is the temperature of the cake ?

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-kt, where t is the time it takes for... more

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Precalculus Math Calculus Mathematica

10/27/22

Find the local linear approximation of the function f(x) = √(16 + x) at x0 = 0, and use it to approximate √15.9 and √16.1.

Find the local linear approximation of the function f(x) = √(16 + x) at x0 = 0, and use it to approximate √15.9 and √16.1.(a) f(x) = √(16 + x) ≈ 4 + (1/8)x(b) √15.9 ≈(c) √16.1 ≈For parts (b) and... more

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Precalculus

10/27/22

just questions a lot of questions

The half-life of a certain tranquilizer in the bloodstream is 32 hours. How long will it take for the drug to decay to 85% of the original dosage? Use the exponential decay model, A=A0ekt, to... more

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Precalculus Math Calculus Trigonometry

10/27/22

Evaluating Functions Versus Evaluating Limits of Functions

f(x)= [x-1 when x<0, 1 when x=0, x2-1 when x≥0]For this function, show that f(0) ≠ lim f(x)limx→0

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Precalculus Math Calculus Trigonometry

10/27/22

Recognizing Functions

Identify which of the following are examples of y as a function of x, and give a brief explanation either analytically or graphically. For those that are not functions, provide a specific value of... more

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Precalculus Trigonometry

10/27/22

Vector Question

A 3 team tug of war will happen. Team A is located at 30° NW away from the center and can exert a total force of 30N. Team B is located at 45° True Bearing and can exert a total force of 35N. Team... more

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Precalculus

10/27/22

COFUNCTION Identities

Write the function in terms of the cofunction of a complementary angle. Secant (pi/18)

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Precalculus Algebra 2 Calculus

10/27/22

Exponential question

The half-life of Radium-225 is 14.9 years. What is the annual decay rate? Express the result to four decimal places.Express the annual decay rate as a percentage to two decimal places.

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Precalculus Math Calculus Mathematica

10/27/22

Compute the differential dy for y = (2x + sin x)^2. Use an appropriate local linear approximation to estimate the value of the given quantity. tan(-0.14) ≈

Compute the differential dy for y = (2x + sin x)^2.dy = ?Use an appropriate local linear approximation to estimate the value of the given quantity.tan(-0.14) ≈ ?

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Precalculus Math Calculus

10/26/22

Let A denote the smallest positive integer that is divisible by 36, and whose base-10 representation consists of only 4s and 9s, with at least one of each. Find A

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Precalculus Math Calculus

10/26/22

ABC is a triangle. Points D and E lie on sides AC and BC, respectively.Given angle BAC=30 degrees, angle ACB=15 degrees, AB=BD and DE=EC, what is AD:CD?

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Precalculus Math

10/26/22

What is the maximum height of the football and how far from the point of impact does this occur? Express answer exact to two decimal places.

When a football is kicked, its height, h(x) in feet, can be modeled by h(x)=-0.01x2+1.18x+2, where x is the ball’s horizontal distance, in feet, from the point of impact with the kicker’s foot.a)... more

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Precalculus

10/26/22

Precal: bearings

Two fire lookout stations are 16 miles apart with station B directly East of station A. Both stations spot a fire on a mountain to the south. The bearing from station A to the fire is S 56°. The... more

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Precalculus

10/26/22

Write an equation for a rational function with: Vertical asymptotes at x = 3 and x = -2 x intercepts at x = -3 and x = 4 y intercept at 3

Write an equation for a rational function with:Vertical asymptotes at x = 3 and x = -2x intercepts at x = -3 and x = 4y intercept at 3

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Precalculus

10/26/22

Find the distance between the cities.

Find the distance between the cities. Assume that Earth is a sphere of radius 4000 miles and that the cities are on the same longitude. (one city is due north of the other). (Use the formula for... more

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Precalculus

10/26/22

Find the length (in inches) of the arc on a circle of radius r intercepted by a central angle 𝜃. (Round your answer to two decimal places.)

Find the length of the arc on a circle of radius r intercepted by a central angle θ. (Round your answer to two decimal places.) Radius r Central Angle θ 14 inches 120° ____in

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Precalculus

10/26/22

Write an equation for a rational function with: Vertical asymptotes at x = 3 and x = -2 x intercepts at x = -3 and x = 4 y intercept at 3

y=

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Precalculus

10/26/22

The polynomial of degree 5, P ( x ) has leading coefficient 1, has roots of multiplicity 2 at x = 5 and x = 0 , and a root of multiplicity 1 at x = − 2

find the formula

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Precalculus

10/26/22

find(fg)(x) for f(x)= 2x-5 and g(x)= 2-x

please help

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Precalculus

10/26/22

The polynomial of degree 3 , P ( x ) , has a root of multiplicity 2 at x = 1 and a root of multiplicity 1 at x = − 5 . The y -intercept is y = − 1 .

What could be the formula?

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What is the measure of an angle θ that is coterminal with an angle of measure −17π6 where 0≤θ≤2π.

Rewrite the equation in terms of base e.

How long will it take for a sample of this substance to decay to 60​% of its original​ amount?

Where​ possible, evaluate logarithmic expressions

if loga x, then which of the following does it equal?

What is the temperature of the cake ?

Find the local linear approximation of the function f(x) = √(16 + x) at x0 = 0, and use it to approximate √15.9 and √16.1.

just questions a lot of questions

Evaluating Functions Versus Evaluating Limits of Functions

Recognizing Functions

Vector Question

COFUNCTION Identities

Exponential question

Compute the differential dy for y = (2x + sin x)^2. Use an appropriate local linear approximation to estimate the value of the given quantity. tan(-0.14) ≈

Let A denote the smallest positive integer that is divisible by 36, and whose base-10 representation consists of only 4s and 9s, with at least one of each. Find A

ABC is a triangle. Points D and E lie on sides AC and BC, respectively.Given angle BAC=30 degrees, angle ACB=15 degrees, AB=BD and DE=EC, what is AD:CD?

What is the maximum height of the football and how far from the point of impact does this occur? Express answer exact to two decimal places.

Precal: bearings

Write an equation for a rational function with: Vertical asymptotes at x = 3 and x = -2 x intercepts at x = -3 and x = 4 y intercept at 3

Find the distance between the cities.

Find the length (in inches) of the arc on a circle of radius r intercepted by a central angle 𝜃. (Round your answer to two decimal places.)

Write an equation for a rational function with: Vertical asymptotes at x = 3 and x = -2 x intercepts at x = -3 and x = 4 y intercept at 3

The polynomial of degree 5, P ( x ) has leading coefficient 1, has roots of multiplicity 2 at x = 5 and x = 0 , and a root of multiplicity 1 at x = − 2

find(fg)(x) for f(x)= 2x-5 and g(x)= 2-x

The polynomial of degree 3 , P ( x ) , has a root of multiplicity 2 at x = 1 and a root of multiplicity 1 at x = − 5 . The y -intercept is y = − 1 .

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How long will it take for a sample of this substance to decay to 60% of its original amount?

Where possible, evaluate logarithmic expressions