25,348 Answered Questions for the topic calculus

Calculus

11/26/23

Calculus question
A box is to be made out of a 8 by 14 piece of cardboard. Squares of equal size will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top. Find the... more
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11/26/23

Two parallel wires question
Two parallel wires separated by 4.0 cm repel each other with a force per unit length 2.0 × 10-4 N/m. The current in one wire is 5.0 A. (a) Find the current in the other wire. (b) Are the currents... more
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11/26/23

Parallel Wires Question Physics
Two long, parallel wires separated by 2.50 cm carry in opposite directions. The current in on wire is 1.25 A, and the current in the other is 3.50 A. (a) Find the magnitude of the force per unit... more
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11/26/23

Magnetic field question
The magnetic field 40.0 cm away from a long, straight wire carrying current 2.00 A is 1.00 μT. (a) At what distance is it 0.100 μT? (b) at one instant, the two conductors in a long household... more
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Calculus Math Science Physics

11/26/23

Directionality Physics 2 Question
A long, straight wire lies on a horizontal table in the xy-plane and carries a current of 1.20 μA in the positive x-direction along the x-axis. A proton is traveling in the negative x-direction at... more
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Calculus Math Biology Physics

11/26/23

Earth’s magnetic field question
The orientation of small satellites is often controlled using toque from current-carrying coils in Earth’s magnetic field. Suppose a multiturn coil has a cross-sectional area of 6.36 × 10-4 m2,... more
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Calculus Math Biology Physics

11/26/23

Physics II Question
At a certain location, Earth has a magnetic field of 0.60 × 10-4 T, pointing 75° below the horizontal in a north-south plane. A 10.0 m long straight wire carries a 15 A current. (a) If the current... more
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Calculus Math Biology Physics

11/26/23

Magnetic Field Question
A laboratory electromagnet produces a magnetic field of magnitude 1.50 T. A proton moves through this field with a speed of 6.00 × 106 m/s. (a) Find the magnitude of the maximum magnetic force that... more
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Calculus

11/25/23

Cacl 3 example problem

Consider a spaceship that is traveling from the surface of the Earth to spacein a straight line. We are going to compute the work necessary to perform to make the spaceship can exit... more
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Calculus

11/23/23

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Calculus

11/23/23

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Calculus

11/21/23

Hw problem suppose that

f(x) = (30)/(3x+11)^2 and F is an antiderivative of f such that F(-2) = -1. Find F(x) for x> -111/3 F(x)= for x> -11/3
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Calculus

11/21/23

calculus math homework problem

Suppose f(x) =x^2+sin x and F is an antiderivative of f that satisfies f(pi ) = 0 then f(x) =?
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Calculus

11/21/23

A stone is thrown straight up

A stone is thrown straight up from the edge of a roof, 600 feet above the ground, at a speed of 16 feet per second.A. Remembering that the acceleration due to gravity is -32 feet per second... more
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Calculus

11/20/23

pre-Calculus Problem
Write as a power function: y varies directly with the cube root of x and y is 10 when x is 125.
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Calculus

11/20/23

Write an equation for this linear function.

f(-5)=-1 and f(2)=4
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Calculus Physics

11/20/23

Work required to pump the liquid out of the bucket
Create a bucket by rotating around the y-axis the curve y=5ln(x-6) from y = 0 to y = 8. If this bucket contains a liquid with density 760 kg/m3 filled to a height of 4 meters, find the work... more
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Calculus

11/20/23

I cant quite get this binomial theorem question. Could someone help me please? Thank you!
1a. Use the binomial theorem to compute the first four nonzero terms for the Maclaurin series for b. Compute the interval of convergence for your series in part a.c. Use your answer to compute
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Calculus

11/20/23

I cant figure out this taylor polynomial question. Could i get some help please? Thanks!
Use an appropriate Taylor polynomial to approximate 245^(4/5) to within 0.001.Clearly explain why you know that your answer has this accuracy.
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Calculus

11/20/23

Could I get some help with these series questions please? Thank you!!!
b. use substituation and integration to find the first five nonzero terms for the maclaurin series for f(x) = sin^-1(x)c. use both x=1 and x=1/2 and the answer in part b to find approximations for pi. more
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Calculus

11/20/23

Polar Conic Sections
Consider the equation below.r = 12/(3-sin(θ))The eccentricity is e = 1/3 and It is an ellipseGive an equation of the directrix (in Cartesian Coordinates)
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Calculus Statistics

11/19/23

Maximum likelihood estimator
Let x1, . . . , xn be a random sample of a Poisson distributed population X ∼ Po(λ) with λ > 0. Find the maximum likelihood estimator for λ.
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Calculus Statistics

11/19/23

Method of moments estimator
Let y1, . . . , yn be a random sample of n observations from a random variable Y with f(y) a gamma density with α = 2 and unknown β:f(y) =( (ye^(−y/β))/β^2 for y > 00 else(a) Find the moment... more
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Calculus Math

11/18/23

Calculus Applied Optimization Question
Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand service to two nearby towns, Springfield and Shelbyville. There needs to be cable connecting... more
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Calculus

11/18/23

Find the rate at which x changes with respect to t when dy/dt = 2, dz/dt = 20, x = 0, y > 0, and z = −3 for the equation: x + 2y^2 − z = 5

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