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Calculus Math

01/18/24

What are the intervals for which the function f(x) = 6cospix is decreasing?

A. [n, n+1], where n is any integer.B. [2n, 2n+1], where n is any integer.C. [n, 2n+1], where n is any integer.D. [n+1, n], where n is any integer.I don't understand how my teacher solved this... more

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Calculus Math

01/18/24

How to Count Critical Points Given the Derivative? (calculator allowed)

Consider the function h(x) whose derivative is given by,h'(x) = (cos2(x)/2x) - (1/12)How many critical points does h(x) have on the open interval (0, 10)?A) 3B) 4C) 5D) 6

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Calculus Math

01/18/24

Struggling on this question, how would I solve this in the most simple way possible?

(No calculator allowed)Find all of the critical numbers for f(x) = 3sinx - 3xcosx.A) x = 2kpi for any integer kB) x = (2k + 1)pi for any integer kC) x = (2k+1)pi/2 for any integer kD) x = kpi for... more

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Calculus Math

01/18/24

How to solve this behavior of log function question?

(No calculator allowed)Which interval correctly represents all values of x where f(x) = ln|x| is increasing?A. (-infinity, -1] U [1, infinity)B. (0, infinity)C. (-infinity, 0) U (0, infinity)D. [1,... more

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Calculus Math

01/18/24

What does the question mean when it says "defined for all real numbers x"?

(No calculator allowed)What are the critical numbers for the function f(x) that is defined for all real numbers x if:f'(x) = (x2-16)/(2x2+7x-15)What does the question mean when it says "defined for... more

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Calculus

01/17/24

Velocity Question

A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 41 ft/s. Its height in feet after t seconds is given by y = 41 t - 26t^2 A. Find the... more

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Calculus

01/17/24

The heighthof the right triangle shown is increasing at a rate of 1 unit/s. Find the rate at which θ (in rad/s)is changing when h= 8

Base is 6 units. that is all given. (right triangle)

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Calculus

01/17/24

The height of an equilateral triangle is increasing at a rate of 3 cm/min. How fast is the area changing when his 5 cm? Give your answer correct to two decimal places.

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Calculus

01/17/24

The relationship between displacement s and velocity v is given by (1/3)s^2 -4v^2 =12 find the acceleration (a) at any time.

Rate of change question.

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Calculus Algebra 1 Algebra 2 Prealgebra

01/17/24

What is the formula to find a random term's number in a geometric progression using the random term?

I think it is the inverse of this formula: RANDOM TERM = (SUM * (1-COMMON RATIO) / (1-COMMON RATIO^x).

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Calculus

01/17/24

Calculus question dealing with f o g

Let ƒ(x)= {sqrt}-32 -x and g(x) = x^2 - 12x.ƒ ∘ g = The domain of ƒ ∘ g is:

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Calculus

01/17/24

I'm not to sure but it deals with f o g

Let ƒ (x) = 5 - [sqrt]x^2+1 and g(x) =x - 4.Then (ƒ ∘ g)(6)= ,(ƒ ∘ g)(x)=

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Calculus

01/17/24

Express functions

Express the function ℎ(x)=(x+9)^8 in the form f ∘ g. If f(x)=x^8, find the function g(x).Your answer is g(x)=

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Calculus

01/17/24

Sin, Cos, Tan, Sec

if sin(θ) = 8/10, 0 ≤ θ ≤ pi/2, thencos(θ) =tan(θ) =sec(θ) =

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Calculus

01/17/24

Finding the solution sin and pi? Three questions

1.Find the solution to the equation, sin x - 1 = 0 on 0 ≤ x < 2pi2.Find all solutions of the equation 2 cos x - 1 = 0 on 0 ≤ x < 2piThe answers are A and B, where A < BA=B=3.Solve... more

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Calculus

01/16/24

Calculate an f(x) & g(x)?

Given that f(x)=8x+6 and g(x)=1-x^2, calculate(a) f(g(0)) =(b) g(f(0)) =

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Calculus

01/16/24

Find an angle with the same sine/cosine as mentioned

Find an angle θ with 0º < θ < 360º that has the same:Sine as 50º : θ = _______degreesCosine as 50º : θ = ________degrees

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Calculus

01/16/24

Finding exact values for sin, cos, tan, etc.

There is a triangle,the left outer line | = aThe right outer line \ = cThe bottom line _ = bInside the triangle the angle between a & c = BInside the triangle the angle between c & b =... more

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Calculus

01/16/24

Calculate Values with a function

Given the function f(x)=4+5x^2, calculate the following values:f (a)= f (a + h)=f (a + h)- f (a) / h=

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Calculus

01/16/24

If g is an increasing function such that g(2)=8 and g'(2)=5, calculate the inverse of g' of 8

If g is an increasing function such that g(2)=8 and g'(2)=5, calculate (g-1)'8

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Calculus

01/16/24

f(x)=1/(x-1), x>1, a=2; Show that f(x) is one-to-one and find the domain and range of f-1

f(x)=1/(x-1), x>1, a=2 Show that f is one-to-one Calculate f-1(x) and state the domain and range of f-1

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Calculus Precalculus

01/16/24

HW4 system of Linear Help with Re-checking and help with problem.

For this, I have completed most problems using the elimination problem method, However, could someone check to see if this is right for problem 6? And could I get help on 8 and 96.) x + y =3 2x... more

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Calculus Math

01/15/24

Identify the global extrema of a function

(Calculator allowed)Identify the global extrema of the functionf(x) = -5x4 + 3x3 + 2x2 + x on the interval -1≤ x ≤ 1.A) This function has no global extremaB) Global maximum: x = 1, global minimum:... more

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Calculus Math

01/15/24

Where is the Global Maximum and Minimum?

(Calculator allowed)Where does the global maximum and minimum of f(x) = 1/x on [0, 3] occur? Remember to explain in the most concise and precise way possible.A) No global maximum, global minimum at... more

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Calculus Math

01/15/24

Find and Classify Extrema of a Function

(No calculator allowed)Find and classify the relative extrema of the function g(x) = 4x3-3x2-6x+5. Remember to explain in the most concise and precise way possible.A) Relative maximum at x = -1;... more

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What are the intervals for which the function f(x) = 6cospix is decreasing?

How to Count Critical Points Given the Derivative? (calculator allowed)

Struggling on this question, how would I solve this in the most simple way possible?

How to solve this behavior of log function question?

What does the question mean when it says "defined for all real numbers x"?

Velocity Question

The heighthof the right triangle shown is increasing at a rate of 1 unit/s. Find the rate at which θ (in rad/s)is changing when h= 8

The height of an equilateral triangle is increasing at a rate of 3 cm/min. How fast is the area changing when his 5 cm? Give your answer correct to two decimal places.

The relationship between displacement s and velocity v is given by (1/3)s^2 -4v^2 =12 find the acceleration (a) at any time.

What is the formula to find a random term's number in a geometric progression using the random term?

Calculus question dealing with f o g

I'm not to sure but it deals with f o g

Express functions

Sin, Cos, Tan, Sec

Finding the solution sin and pi? Three questions

Calculate an f(x) & g(x)?

Find an angle with the same sine/cosine as mentioned

Finding exact values for sin, cos, tan, etc.

Calculate Values with a function

If g is an increasing function such that g(2)=8 and g'(2)=5, calculate the inverse of g' of 8

f(x)=1/(x-1), x>1, a=2; Show that f(x) is one-to-one and find the domain and range of f-1

HW4 system of Linear Help with Re-checking and help with problem.

Identify the global extrema of a function

Where is the Global Maximum and Minimum?

Find and Classify Extrema of a Function

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