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Calculus 1

09/28/16

Word Problem

In 1626, Peter Minuit traded trinkets worth $24 for land on Manhattan Island. Assume that in 2014 the same land was worth $1 trillion. Find the annual rate of interest compounded continuously at... more

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Calculus 1 Tangents And Derivatives

09/26/16

Find k so that the line y = 3x-4 is tangent to the graph of f(x) = x^2 + kx.

I got k = 7, -1 using substitution on 2x+k = 3 and x^2 + kx = 3x - 4. Is this correct?

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Calculus 1

09/25/16

Suppose the line tangent to the graph of f at x=3 is y=6x+4, and suppose y = 4x-5 is the line tangent to the graph of g at x = 3.

Find the line tangent to the following curves at x = 3. y = f(x)g(x)

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Calculus 1 Algebra 1 Algebra 2 Calculus

09/25/16

explain how many elements are in the range of (f of f)(x) if f(x) defines a constant function over (-infinity,infinity)

I am unsure about how to properly solve this question

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Calculus 1

09/25/16

How do you find the limit algebraically for this problem?

lim (x-4)/((√x) -2) x→4+

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Calculus 1 Limits And Derivatives

09/25/16

(tanx+sqrt(3))/(x-2pi/3)

What is the limit as x approaches 2pi/3.

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Calculus 1 Limits

09/21/16

(sin(p-x))/(p-x)

Find the limit as x approaches π (pi).

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Calculus 1 Calculus 3 Calculus 2 Differential Equations, Calculus

09/13/16

Solving for t in this equation.

205e0.005t = 280 + t Please help me solve for t. I would like to know how to do it by hand.

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Calculus 1

08/22/16

Find the domain of the function. f(x) = x + 4 x2 - 4

(Enter your answer using interval notation.

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Calculus 1 Volume Box Problem

08/22/16

A box is to be constructed from a sheet of cardboard that is 10 cm by 50 cm by cutting out squares of length x by x from each corner and bending up the sides.

What is the maximum volume this box could have? Here is my work. Do you agree? Step 1: (50-2x)(10-2x)(x) Step 2: 500-100x-20x+4x^2) (x) Step 3: 4x^3-120x^2+500x Step 4: dv/dx ... more

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Calculus 1

08/17/16

How do you simplify using a single logarithm: log (A^3)- log (B^(2/3))+ log (A^(1/3)+ log (B^(5/3))

How do you simplify using a single logarithm: log (A3)− log (B2/3)+ log (A1/3)+ log (B5/3)

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Calculus 1

08/15/16

Find the derivative f(x)= 1/(x-1)

I need help finding the derivative of this question. I'm not sure what to do adter getting the least common denominator the same.

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Calculus 1 Math Calculus College

08/01/16

Find the open interval(s) on which the function f(x) = cos^2(6x) is increasing in the interval (0,2.094)

Round to the nearest three decimal places. I'm not sure if i should take the derivative and then solve for 0. Using critical values. I'm very confused and my notes are no help.

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Calculus 1 Math Calculus Alegrba

08/01/16

Find the point on the graph of the function f(x) = (x+1)^2 that is closest to the point (-4,2) Round all numerical values in your answer to four decimal places.

I have tried so many ways and I'm just stuck. It's really confusing because other examples are not the same.

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Calculus 1

07/03/16

What is the average rate of change of the function y = 4x^3 - 2 between x = x1 and x = x2

Answers: a. 4(x2^2 + x2x1 − x1^2)b. 4(x2^2 − x2x1 + x1^2)c. 4(x2^2 − x2x1 − x1^2)d. 4(x2^2 + x2x1 + x1^2)

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Calculus 1

06/29/16

question is in the description

a car leaves an intersection traveling west. Its position 4 sec later is 20 ft from the intersection. At the same time, another car leaves the intersection heading north so that its position t sec... more

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Calculus 1

06/29/16

question is in description.

a car leaves an intersection traveling west. Its position 4 sec later is 20 ft from the intersection. At the same time, another car leaves the intersection heading north so that its position t sec... more

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Calculus 1

06/29/16

see details for question

a coat of paint of thickness 0.05 cm is to be applied uniformly to the faces of a cube of edge 30 cm. Use differentials to find the approximate amount of paint required for the job

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Calculus 1 Calculus Derivatives

06/17/16

Find all the second partial derivatives of the function below. (Hint: there are 4)

Having difficulty finding them I can only find one ??(??,??)=2??^5 ??^2+??^2 ??

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Calculus 1

06/01/16

f (x) = vx + 1 ; (15, 4) (a) Find an equation of the tangent line to the graph of f at the given point

f (x) = √x + 1 ; (15, 4)(a) Find an equation of the tangent line to the graph of f at the given point

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Calculus 1

06/01/16

Give an example of a function that features three discontinuities, one of each type.

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Calculus 1 Derivatives

05/24/16

Find an equation for the tangent line to the graph at the specified value of x

1 - y = xcos3x; x = π 2 - y = sec 3 (π/2 - x); x = -π/2 3 - y = Tan(4x 2 ); x = √π Hey guys please help me with these ones, i am studying for finals, if possible try to solve them... more

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Calculus 1

05/22/16

Help please

1. Find the area between the x-axis and the curve f(x) = 3x2 from x = 1 to x = 3. 2. Assume a firm's marginal cost in dollars is given by MC below, where x is the number of units produced. You can... more

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Calculus 1

05/22/16

Homework help?!

1. If you were to grow plants in a rectangular-shaped garden with a perimeter of 10 ft, what is the maximum area you can achieve? 2. Assume that the function H(t) gives the height in ft of a stone... more

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Calculus 1 Optimization

05/13/16

Calculus I Optimization

The top and bottom margins of a poster are a cm and the side margins are each b cm. If the area of printed material on the poster is fixed at c square centimeters, find the dimensions of the... more

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Word Problem

Find k so that the line y = 3x-4 is tangent to the graph of f(x) = x^2 + kx.

Suppose the line tangent to the graph of f at x=3 is y=6x+4, and suppose y = 4x-5 is the line tangent to the graph of g at x = 3.

explain how many elements are in the range of (f of f)(x) if f(x) defines a constant function over (-infinity,infinity)

How do you find the limit algebraically for this problem?

(tanx+sqrt(3))/(x-2pi/3)

(sin(p-x))/(p-x)

Solving for t in this equation.

Find the domain of the function. f(x) = x + 4 x2 - 4

A box is to be constructed from a sheet of cardboard that is 10 cm by 50 cm by cutting out squares of length x by x from each corner and bending up the sides.

How do you simplify using a single logarithm: log (A^3)- log (B^(2/3))+ log (A^(1/3)+ log (B^(5/3))

Find the derivative f(x)= 1/(x-1)

Find the open interval(s) on which the function f(x) = cos^2(6x) is increasing in the interval (0,2.094)

Find the point on the graph of the function f(x) = (x+1)^2 that is closest to the point (-4,2) Round all numerical values in your answer to four decimal places.

What is the average rate of change of the function y = 4x^3 - 2 between x = x1 and x = x2

question is in the description

question is in description.

see details for question

Find all the second partial derivatives of the function below. (Hint: there are 4)

f (x) = vx + 1 ; (15, 4) (a) Find an equation of the tangent line to the graph of f at the given point

Give an example of a function that features three discontinuities, one of each type.

Find an equation for the tangent line to the graph at the specified value of x

Help please

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Calculus I Optimization

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