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Calculus Math

12/14/23

Suppose you want to find sqrt(49.08). The line tangent to the graph of y= sqrt(x) at x=49 will have equation y =

Suppose you want to find sqrt(49.08)The line tangent to the graph of y= sqrt(x) at x=49 will have equation y = This meanssqrt(x) ≈ _____Consequently sqrt(49.08) ≈

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Calculus Math

12/14/23

Find the area under the curve f(x)=x3 on x=[1.5,4.5] using the Midpoint Rule with n=7

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Calculus Math Precalculus

12/14/23

Find the position function s(t) of a particle in motion if it is known that:

Find the position function s(t) of a particle in motion if it is known that: the particle's acceleration is constant with a(t)= -6 m/s2 the velocity of the particle at time t=2 is: -27 m/s the... more

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Calculus

12/14/23

Consider the function f(x) = 8/x^2 - 4/x^5

Consider the function f(x) = 8/x^2 - 4/x^5Let F(x) be the antiderivative of f(x) with F(1)=0.Then F(x) =

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Calculus

12/14/23

Find the position function s(t) of a particle in motion if it is known that:

Find the position function s(t) of a particle in motion if it is known that: the particle's acceleration is constant with a(t)=-8 m/s2 the velocity of the particle at time t=2 is: -13 m/s the... more

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Calculus

12/13/23

find the values of a such that lim f(x) does not exist and where f(x) is discontinuous at x=a

Consider the function f, defined by:f(x)={-x if x<-1sin((pi/2)x) if -1≤x<12 if x=12-x if x>1 Find the values a such that lim (as x approaches a) f(x) does not exist Find the values of a... more

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Calculus

12/13/23

find the limit as x approaches 0 from the right

the limit as x approaches 0 from the right (0+) for sqrt(x2+x)sin(x)

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Calculus

12/13/23

Suppose a particle moves along a straight line.

The position at time t is given by s(t) = 3t−2t 2 , t ≥ 0, where t is measured in seconds and s(t) is measured in meters. How far to the right on the straight line does the particle travel?

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Calculus

12/13/23

Minimizing cost of a open box

A rectangular box, made with a square base and no top, is to have a volume of 12 cubic feet. The material for the base of the box costs 9 dollars per square foot, and the material for the sides... more

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Calculus

12/13/23

A landscape architect wishes to enclose a rectangular garden on one side by a stone wall that costs 50 dollars per foot and on the other three sides by a wood fence that costs 15 dollars per foot.

A landscape architect wishes to enclose a rectangular garden on one side by a stone wall that costs 50 dollars per foot and on the other three sides by a wood fence that costs 15 dollars per foot.... more

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Calculus Math Precalculus

12/12/23

Let A be the area of a circle with radius r. If dr/dt=5, find dA/dt when r=3. Round your answer to the nearest tenth.

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Calculus Math

12/12/23

Find the rate at which the water level is rising when the water level is 4 cm.

An inverted pyramid is being filled with water at a constant rate of 55 cubic centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 3 cm, and the height is... more

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Calculus Math Trigonometry

12/12/23

Pod racing Show work and solve

1. Tonto Pagalies (brother to vaporized racer Teento), an observer at Bindy Bend, is 14285" from Desert Plain. He knows that there is a right angle between the lines of sight from Bindy Bend to... more

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Calculus

12/12/23

Evaluating Integral (S)

Evaluate double integralS 2y dS where S is the portion of y^(2)+z^(2) = 4 between x = 0 and x = 3-z.Having problems with setup and then following through.

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Calculus

12/12/23

An airline flies a daily flight from City A to City B. Currently they sell each ticket for $600, and on average 600 people take the flight, so their revenue per flight is $180,000.

They are interested in seeing whether they can increase their revenue by changing the price of a ticket. Based on market research they discover that for every $ 4 increase in ticket price, one... more

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Calculus

12/11/23

A train moves along a straight line. Its location at time t is given by s(t) = 50 t , 3 ≤ t ≤ 8, where t is measured in hours and s(t) is measured in kilometers

Find the average velocity of the train between t = 3 and t = 8.

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Calculus

12/11/23

Not able to solve it

Use the method of cylindrical shells to find the volume V of the solid obtianed by the region bounded by the given curves about the x-axis. y=x^3, y=8, x=0

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Calculus

12/11/23

Confused on how to do this question

Consider the following. x=9√siny, 0≤y≤π, x=0; about y=4(a) Set up an integral for the volume V of the solid obtained by rotating the region bounded by the given curve about the specified... more

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Calculus

12/11/23

Don't know how to do

Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the y-axis. y=3x^2, y=18x−6x^2

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Calculus

12/11/23

Suppose a sample of a certain substance decayed to 77.6% of its original amount after 300 days.

(Round your answers to two decimal places.) (a) What is the half-life (in days) of this substance?b. How long would it take the sample to decay to one-third of its original amount?

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Calculus

12/11/23

A stone is dropped from the upper observation deck of a tower, 650 m above the ground. (Assume g = 9.8 m/s2.)

(a)Find the distance (in meters) of the stone above ground at time t.s(t) = (b)How long does it take the stone to reach the ground? (Round your answer to two decimal places.) s(c)With what... more

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Calculus

12/11/23

An ant is moving along the curve y = √x. As the ant passes through the point (4, 2), its x-coordinate increases at a rate of 5 cm/s. How fast is the distance to the origin changing at this instant?

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Calculus

12/10/23

Evaluate Integral

Evaluate IntegralC xy^(3)dx-4xdy, where C is the portion of the circle centered at the origin of radius 1 in the first quadrant with clockwise rotation. Thanks in advance!

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Calculus

12/10/23

Green's Theorem Integral

Use Green’s Theorem to evaluate IntegralC (y+e^(sqrt(x)))dx + (2x+cos(y^(2)))dy along the positvely oriented curve C which is the boundary of the region enclosed by the parabolas y=x^(2) and... more

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Calculus

12/10/23

Evaluate Integral

Evaluate IntegralC xy^(3)dx-4xdy, where C is the portion of the circle centered at the origin of radius 1 in the first quadrant with clockwise rotation. Thank you in advance!

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Suppose you want to find sqrt(49.08). The line tangent to the graph of y= sqrt(x) at x=49 will have equation y =

Find the area under the curve f(x)=x3 on x=[1.5,4.5] using the Midpoint Rule with n=7

Find the position function s(t) of a particle in motion if it is known that:

Consider the function f(x) = 8/x^2 - 4/x^5

Find the position function s(t) of a particle in motion if it is known that:

find the values of a such that lim f(x) does not exist and where f(x) is discontinuous at x=a

find the limit as x approaches 0 from the right

Suppose a particle moves along a straight line.

Minimizing cost of a open box

A landscape architect wishes to enclose a rectangular garden on one side by a stone wall that costs 50 dollars per foot and on the other three sides by a wood fence that costs 15 dollars per foot.

Let A be the area of a circle with radius r. If dr/dt=5, find dA/dt when r=3. Round your answer to the nearest tenth.

Find the rate at which the water level is rising when the water level is 4 cm.

Pod racing Show work and solve

Evaluating Integral (S)

An airline flies a daily flight from City A to City B. Currently they sell each ticket for $600, and on average 600 people take the flight, so their revenue per flight is $180,000.

A train moves along a straight line. Its location at time t is given by s(t) = 50 t , 3 ≤ t ≤ 8, where t is measured in hours and s(t) is measured in kilometers

Not able to solve it

Confused on how to do this question

Don't know how to do

Suppose a sample of a certain substance decayed to 77.6% of its original amount after 300 days.

A stone is dropped from the upper observation deck of a tower, 650 m above the ground. (Assume g = 9.8 m/s2.)

An ant is moving along the curve y = √x. As the ant passes through the point (4, 2), its x-coordinate increases at a rate of 5 cm/s. How fast is the distance to the origin changing at this instant?

Evaluate Integral

Green's Theorem Integral

Evaluate Integral

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