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Derivatives Calculus

05/28/22

A particle moves along a straight line with equation of motions =13 - 2t. Find the smallest value of its velocity (for t ≥ 0)

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Derivatives Calculus

05/28/22

find the location of the object traveling with a position function of s(t)=100-20t+5t^2 feet at t sec when the velocity is zero

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Derivatives Calculus Derivative Rates Of Change

05/28/22

Calculus: Rates of change (problem below)

The lower base of a trapezoid is 6 m. If its height is increasing at the rate of 1 m/sec while its area is increasing at the rate of 2 m^2/sec. At what rate is the upper base of the trapezoid... more

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Derivatives Calculus Precalculus Algebra

05/10/22

Calculus Question

I have created a scatter plot and the exponential function I found is y = 30e-0.004t. I need help solving the rest of the questions. A brief explanation of each part will also suffice.Codeine... more

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Derivatives Calculus Unit Circle Interval Chart

05/01/22

I’m attempting to sketch the graph of the following question, how would I answer the interval chart steps below?

Info:the interval is for the following function, y = cos(2x) —————- 3-2sin2(x) I’m sketching the graph of it dy/dx can only be positive or negative slope can only be up or... more

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Derivatives Calculus Logarithmic Differentiation

04/18/22

Help! Would this be the correct answer to the following logarithmic differentiation problem?

Use logarithmic differentiation to find the derivative of the function y= (2x+5)3(5x2-2x)4 ——————— √2x+5 the answer that I got was dy/dx=... more

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Derivatives Math Calculus Derivative

04/14/22

antiderivative question

find ∫ (3^x - 5)(4^x + 7) dx

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Derivatives Calculus Optimization

04/12/22

How would I answer this derivative application question?

Water is leaking from a trough at the rate of 0.8 L/s. The trough has a trapezoidal cross section, where the width at the bottom is 55 cm, at the top is 85cm, and the height is 25 cm. The length of... more

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Derivatives Calculus Composite Differentiation

04/01/22

How would I answer the following question?

Give an example of a situation in which a composite differentiation might be used. Give examples of functions that may be applicable and show how the relevant rates of change might be calculated.

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Derivatives

03/30/22

f(x) = 2x^4-6x^2+7

Find an equation of the line tangent to the graph of f at x=3

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Derivatives Calculus Implicit Differentiation

03/29/22

How would I answer this question?

Use the process of implicit differentiation to find dy/dx given that:5x3y4 + 3y2/4x3 = 5xyApply directly without first simplifying the equation.thank you.* edit: I tried answering the question but... more

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Derivatives Math Calculus

03/22/22

Derivative question, can someone explain it to me?

Differentiate tan(x-y)= y/((x^2)-2). Do not solve for y'

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Derivatives Math Calculus Precalculus

03/15/22

APPLICATION OF DERIVATIVES - RELATED RATES

A 14-foot ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of 2 ft/s., how fast will the end be moving away from the wall when the top is 6 ft. above the... more

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Derivatives Math

03/10/22

Volume of circular cylinder

If the volume of the circular cylinder is given with the 𝑽=𝝅𝒓𝟐𝒉 and 𝟕𝒓=𝟓𝒉, if the height increases by 0.02 m/sec, Find the rate of increase in the volume of the cylinder when 𝒉=𝟏𝟒𝒄𝒎

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Derivatives Calculus

03/08/22

Determine point(s) on curves where the slopes of the tangent are equal

Given:f(x)= 18x^3 - 12x^2 - 30x +1 g(x) = 16x^3 - 9x^2 - 66x +3

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Derivatives Calculus Differentiability

03/01/22

for these 2 questions, how do you know they are differentiable? and how do you find the expressions?

If f is a differentiable function, find an expression for the derivative of each of the following functions:a) g(x) = f(x2) for this one I got 2x but I don't understand why it is supposed to be... more

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Derivatives Calculus Rates

10/07/21

Rates question (calc1)

The altitude (i.e., height) of a triangle is increasing at a rate of 2 cm/minute while the area of the triangle is increasing at a rate of 2 square cm/minute. At what rate is the base of the... more

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Derivatives Calculus Rates

10/07/21

Calculus rates question

A road perpendicular to a highway leads to a farmhouse located 5 mile away. An automobile traveling on the highway passes through this intersection at a speed of 50mph.How fast is the distance... more

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Derivatives Calculus Area

10/07/21

Area of a circle

Let A be the area of a circle with radius r. If dr/dt= 3 , find dA/dt when r = 1.

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Derivatives Calculus

09/30/21

Calculus (derivatives)

I am having trouble with these questions Let F (x) = f (x f (x2)). Suppose that f (4) = 6, f '(4) = 2, and f '(12) = 4. Find F '(2). Suppose that Newton's method is used to locate a root of the... more

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Derivatives Math Calculus

09/11/21

Calc 1 Question

I have this question that I don't really understand since derivatives are a little confusing. (1): Find the derivative of g(t) = 5t^2 + 5t at t = 6 algebraically. g'(6) =

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Derivatives Math Calculus Differential Equations

07/30/21

Find the rate of change of the volume for each of the radii given below if dr/dt is 5 inches per min and h=12r

The formula for the volume of a cone is given below. Find the rate of change of the volume for each of the radii given below if dr/dt is 5 inches per minute and h = 12r.V = (1/3)𝜋r2h(a) r = 8 inV'=... more

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Derivatives Math Calculus Differentiable Functions

07/30/21

Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt.

Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt.y = √x(a) Find dy/dt, given x=1 and dx/dt = 3.dy/dt = ?(b) Find dx/dt, given x=36 and... more

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Derivatives Calculus Substitution Method Antiderivatives

06/28/21

Use substitution to find all the antiderivatives of the function

g'(x) = 30 (ln x)9/x

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Derivatives Critical Values Partition Numbers Increasing/decreasing Test

06/18/21

Critical Values, Partition Numbers, and the Increasing/Decreasing Test

Let f(t)= 5t2/3+ t2/3a) Find all partition numbers of f(t) and list themb) Find all critical values of f(t) and list themc) Find the interval where f(t) is increasingd) Find the interval where f(t)... more

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A particle moves along a straight line with equation of motions =13 - 2t. Find the smallest value of its velocity (for t ≥ 0)

find the location of the object traveling with a position function of s(t)=100-20t+5t^2 feet at t sec when the velocity is zero

Calculus: Rates of change (problem below)

Calculus Question

I’m attempting to sketch the graph of the following question, how would I answer the interval chart steps below?

Help! Would this be the correct answer to the following logarithmic differentiation problem?

antiderivative question

How would I answer this derivative application question?

How would I answer the following question?

f(x) = 2x^4-6x^2+7

How would I answer this question?

Derivative question, can someone explain it to me?

APPLICATION OF DERIVATIVES - RELATED RATES

Volume of circular cylinder

Determine point(s) on curves where the slopes of the tangent are equal

for these 2 questions, how do you know they are differentiable? and how do you find the expressions?

Rates question (calc1)

Calculus rates question

Area of a circle

Calculus (derivatives)

Calc 1 Question

Find the rate of change of the volume for each of the radii given below if dr/dt is 5 inches per min and h=12r

Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt.

Use substitution to find all the antiderivatives of the function

Critical Values, Partition Numbers, and the Increasing/Decreasing Test

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