04/05/24

A 26.6 kg box is initially kicked so that it slides up a ramp inclined at 29 degrees above the horizontal. The coefficient of kinetic friction between the box and the ramp is 0.31.
Find the magnitude of the acceleration of the box, in m/s^2.
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04/05/24

Finding a unit normal vector to a surface

Find a unit normal vector to the surface z(x,y,z)=0 at the point P(-4,-5,9) for the functionf(x,y,z)=ln(-4x/(-5y-z))Please write your answer as a vector ⟨a,b,c⟩ with a negative z component, and... more
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04/05/24

using tangent planes to approximate
Use a tangent plane to approximate the value of the following function at the point (-4.9,-16.1) f(x,y) = arctan(xy^2+1281). Present your answer accurate to four decimal places.
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03/28/24

The velocity Function

The velocity function (in meters per second) is given for a particle moving along a line.v(t) = t2 − 2t − 15,     2 ≤ t ≤ 8Find the displacement (in meters).Find the distance traveled (in meters)... more
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03/27/24

Frequency Heard By Person-I got the first part but am confused how to calculate frequency behind car.

An opera singer in a convertible sings a note at 700 Hz while cruising down the highway at 86 km/h. The speed of sound in the air is 343 m/s.frequency heard by a person standing beside the road in... more
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03/27/24

Physics Question!!
In a double slit experiment the first minimum for 420 m violet light is at an angle of 49°.delta = 420nmangle = 49 degreesFind the distance between the two slits in micrometers.
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03/27/24

Physics Help Please!
Light with a wavelength of delta= 567 nm is incident on a single slit of width w = 2.5 micrometers. A screen is located L = 0.15 m behind the slit and an interference pattern has formed on it.What... more
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03/26/24

Physics-Phase change
Calculate the quantity of heat needed to turn 230 gg of 100∘C∘C water to steam at the same temperature. The heat of vaporization for water Lv is 540 cal/gcal/g.
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03/26/24

Need help with calculus optimization problem
Determine the point on the hyperbola −9x^2+2y^2=20 closest to the point (8, 0).Give the x coordinate of each point: Give the positive y coordinate: Give the negative y coordinate:
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03/25/24

Find the arclength of the curve r(t) = <9sqrt(2t), e^(9t), e^(-9t)>, 0<_t<_1
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03/25/24

What is the smallest length of fencing that will be required to do this?
A rancher wants to fence in a rectangular area of 16000 square feet in a field and then divide the region in half with a fence down the middle parallel to one side. What is the smallest length of... more
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03/24/24

Physics question about deceleration.
When landing after a spectacular somersault, a 50.0 kg gymnast decelerates by pushing straight down on the mat. Calculate the force (in N) she must exert if her deceleration is 6.00 times the... more
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03/24/24

Physics question
A 520-turn solenoid is 18 cm long. The current in it is 34 A. A straight wire cuts through the center of the solenoid, along a 3.5-cm diameter. This wire carries a 23-A current downward (and is... more
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03/24/24

Suppose that you are at point A and want to get to point C on the other side of the river.
Suppose that you are at point A and want to get to point C on the other side of the river.You can either row your boat from point A to point C. Or, you can row from point A to some point P between... more
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03/23/24

Consider the line which passes through the point P(-4,-2,-2), and which is parallel to the linex=1+7t,y=2+6t,z=3+5t Find the point of intersection of this new line with each of the coordinate planes:
Find the point of intersection of this new line with each of the coordinate planes: xy-plane ( __, __, __) xz-plane (__, __, __) yz-plane (__,__,__)
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03/23/24

urgent please help!
Randomly select a point on the triangular region whose vertices are (0, 0), (0, 40) and (100, 0). Let the continuous random variable X denote the x-coordinate of the point. Find the cumulative... more
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03/22/24

What is the cost of the dryer?
A washer and a dryer cost $1010 combined. The washer costs $60 more than the dryer.
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03/22/24

Linear Algebra question
Find the shortest distance from the point P=(-3,-2,-3) to a point on the line given by 1: (x,y,z) = (-7t, 1t, 1t). Please help ASAP! Thanks!
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03/22/24

A bead with a hole through it slides on a wire track.
A bead with a hole through it slides on a wire track. The wire is threaded through the hole in the bead, and the bead slides without friction around a loop-the-loop (see figure below). The bead is... more
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03/22/24

Binomial Probability:

If a fair die is rolled 5 times, what is the probability, rounded to the nearest thousandth, of getting at least 2 fours?
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03/22/24

How to calculate the sample size for a survey without margin of error?
I'm doing a survey for my dissertation and I need to know how many people to interview. I want to calculate the sample size for this using Excel but I don't know how. Every source I read says I... more
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03/22/24

Find its height and velocity 10 seconds later
On the surface of the moon, the acceleration of gravity is -5.28 feet per second per second. If an object is thrown upward from an initial height of 1000 feet with a velocity of 20 feet per second,... more
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03/22/24

Solve the differential equation dy/dx = 5xy^2, subject to the condition that y = 1 when x = 2.
Solve the differential equation dy/dx = 5xy2, subject to the condition that y = 1 when x = 2.
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03/22/24

Write the first four nonzero terms and general term of the geometric series
Write the first four nonzero terms and general term of the geometric series that is equal to 1/(1+t^5).
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03/22/24

Nabhitha measure the volume of a sink basin by modeling it as a hemisphere. Nabhitha measures its radius to be 15, one quarter15 4 1 ​ inches. Find the sink’s volume in cubic inches.
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