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Calculus Math

10/22/24

Concave up or down Calculus 1 question

Consider the function 𝑓(𝑥)=2(sin𝑥+cos𝑥) with domain 𝑥∈(0,𝜋). Find the interval over which the function is concave up.

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Calculus

10/22/24

A lobster tank in a restaurant is 1.25 m long by 1 m wide by 90 cm deep. Water density is 1000kg/m^3. Find the water forces on each of the larger and smaller sides of the tank

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Calculus

10/22/24

The loudness of a sound can be measured in terms of watts of sonic energy P. Usually, however, it is measured with decibels.

The loudness of a sound can be measured in terms of watts of sonic energy P. Usually, however, it is measured with decibels. The relationship between the decibel level L and the watts of sonic... more

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Calculus

10/22/24

Integration helpppppp

Integrate ∫ (8x3+20x2+51x+124)/(4x2+25) dx with arctan and ln in the answer... I think that the first step is to take it and divide it. This gave me a 2x+5 and a remainder of x-1. I think that's... more

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Calculus

10/21/24

Integration with fraction like equations...

Integrate ∫ (10x^2 -45x +6) / (2x^2 - 9x + 4 ) dx

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Answers •3

Calculus

10/20/24

The amount of economic aid E (in millions of dollars) a country receives from the USA is related to the military aid x(in millions of dollars) it is also receiving

The amount of economic aid E (in millions of dollars) a country receives from the USA is related to the military aid x(in millions of dollars) it is also receiving by the function E(x)= 10 +... more

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Calculus

10/20/24

The EPA has established that the air quality in a city (measured in pollution units, so high numbers mean worse air quality) depends on the number of cars driven in the city (measured in thousands)

The EPA has established that the air quality in a city (measured in pollution units, so high numbers mean worse air quality) depends on the number of cars driven in the city (measured in thousands)... more

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Calculus

10/20/24

The pH of a solution is a measure of its acidity. Formally, pH = -0.4343lna where a is the hydrogen ion activity.

The pH of a solution is a measure of its acidity. Formally, pH = -0.4343lna where a is the hydrogen ion activity. Suppose that the hydrogen ion activity of a solution is increasing at a rate of... more

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Calculus

10/20/24

The cost C (in dollars) of manufacturing x number of high-quality computer laser printers is C(x)=15x^(4/3)+15x^(2/3)+600,000.

The cost C (in dollars) of manufacturing x number of high-quality computer laser printers is C(x)=15x^(4/3)+15x^(2/3)+600,000.Currently, the level of production is 1,728 printers, but that level is... more

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Calculus

10/20/24

The loudness of a sound can be measured in terms of watts of sonic energy P. Usually, however, it is measured with decibels.

The loudness of a sound can be measured in terms of watts of sonic energy P. Usually, however, it is measured with decibels. The relationship between the decibel level L and the watts of sonic... more

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Answers •1

Calculus

10/19/24

The kinetic energy of a moving object is given by the formula K=(1/2)mv^2 where m is the mass of the object and v is the velocity.

The kinetic energy of a moving object is given by the formula K=(1/2)mv^2 where m is the mass of the object and v is the velocity. A 62 kg man jumps off a diving board. When he is falling at a... more

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Calculus

10/19/24

The energy stored in a stretch spring depends on the distance x that it has been stretch according to the equation E=(1/2)kx^2 where k is a constant that depends on how stiff the spring is

The energy stored in a stretch spring depends on the distance x that it has been stretch according to the equation E=(1/2)kx^2 where k is a constant that depends on how stiff the spring is. ... more

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Calculus

10/19/24

Ohm's law relates the volate V across a resistor, the electrical current I passing through the resistor, and the resistance R. In particular: V=IR.

Ohm's law relates the volate V across a resistor, the electrical current I passing through the resistor, and the resistance R. In particular: V=IR. Currently, the resistance is constant, 4 ohms. ... more

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Calculus

10/19/24

A company estimates that the demand for their product (in millions) depends on the price (in dollars) according to the equation q=sqrt(4570-p^2).

A company estimates that the demand for their product (in millions) depends on the price (in dollars) according to the equation q=sqrt(4570-p^2). The price is currently $35.00, but lumber... more

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Calculus

10/18/24

applied calculus maximization question

The owner of the Rancho Los Feliz has 2940 yd of fencing to enclose a rectangular piece of grazing land along the straight portion of a river and then subdivide it by means of a fence running... more

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Calculus

10/17/24

Solve for dy/dx

(7xy + 5)^2 = 14yThe answer is (7xy^2 + 5y) / (1 - 7x^2y - 5x)I got that answer but the signs wrong I ended up getting (-7xy^2 - 5y) / (7x^2y + 5x - 1)I've been doing implicit diff problems and I... more

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Calculus

10/15/24

Finding the arc length of f(x)= 4√x^3 from x = 4 to x = 7

Find the arc length of the graph of the function f(x) = 4√x3 from x=4 to x=7I keep getting 42.3, but it's not the right answer and I don't know where I'm going wrong.

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Calculus

10/15/24

When the radius of the balloon reaches 2 cm the radius is increasing at a rate of 0.3 cm/min. At this moment, how fast is the surface area of the balloon increasing?

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Calculus

10/14/24

If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)

∑n=1 to ∞1+7^n/ 8^n

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Calculus

10/14/24

Determine whether the series is convergent or divergent. If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)

∑n=1 to ∞5^n+1 * 6^-n

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Calculus

10/14/24

Integration in calc two

How do you integrate ∫4x^3e^(x^2 - 3) dx

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Calculus

10/14/24

Mean Value Theorem

Let f be the function given by f(x)= (x2-9)/sinx on the closed interval [0,5]. Of the following intervals on which can the MVT be applied to f? I. [1,3] because f is continuous on [1,3] and... more

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Calculus

10/14/24

Find the sum of the series

∑1 to ∞ (4/n(n+1)+5/2^n)

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Calculus C++

10/12/24

Recording having issue

why is recording videos mainly for the month of October either has nothing in it or only imagine with no voice for a few min or some not opening at all?

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Answers •1

Calculus Math Precalculus Sat Math

10/12/24

Area Between Curves

Find the area of the region in the first quadrant bounded by the line y=x, the line x=2, the curve y=1/x^2, and the x-axis. Draw the graph with the area of the region aswell.

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Concave up or down Calculus 1 question

A lobster tank in a restaurant is 1.25 m long by 1 m wide by 90 cm deep. Water density is 1000kg/m^3. Find the water forces on each of the larger and smaller sides of the tank

The loudness of a sound can be measured in terms of watts of sonic energy P. Usually, however, it is measured with decibels.

Integration helpppppp

Integration with fraction like equations...

The amount of economic aid E (in millions of dollars) a country receives from the USA is related to the military aid x(in millions of dollars) it is also receiving

The EPA has established that the air quality in a city (measured in pollution units, so high numbers mean worse air quality) depends on the number of cars driven in the city (measured in thousands)

The pH of a solution is a measure of its acidity. Formally, pH = -0.4343lna where a is the hydrogen ion activity.

The cost C (in dollars) of manufacturing x number of high-quality computer laser printers is C(x)=15x^(4/3)+15x^(2/3)+600,000.

The loudness of a sound can be measured in terms of watts of sonic energy P. Usually, however, it is measured with decibels.

The kinetic energy of a moving object is given by the formula K=(1/2)mv^2 where m is the mass of the object and v is the velocity.

The energy stored in a stretch spring depends on the distance x that it has been stretch according to the equation E=(1/2)kx^2 where k is a constant that depends on how stiff the spring is

Ohm's law relates the volate V across a resistor, the electrical current I passing through the resistor, and the resistance R. In particular: V=IR.

A company estimates that the demand for their product (in millions) depends on the price (in dollars) according to the equation q=sqrt(4570-p^2).

applied calculus maximization question

Solve for dy/dx

Finding the arc length of f(x)= 4√x^3 from x = 4 to x = 7

When the radius of the balloon reaches 2 cm the radius is increasing at a rate of 0.3 cm/min. At this moment, how fast is the surface area of the balloon increasing?

If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)

Determine whether the series is convergent or divergent. If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)

Integration in calc two

Mean Value Theorem

Find the sum of the series

Recording having issue

Area Between Curves

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