11/25/23

Q8: Prb 7 - What is the velocity of the car, in meters per second, just after it hits a 165 kg deer initially running at 14 m/s in the same direction? Assume the deer remains on the car.
Consider a 915 kg car initially moving at 31 m/s.
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11/05/23

Find the mass of Jupiter, in kg, based on given data (in "Description") for the orbit of one of its moons.

Moon: IoAverage orbital radius (r) in km: 4.22*105 kmPeriod Time (T) in years (y): 0.00485 y (or 1.77 days)r3/T2 in km3/y2: 3.19*1021 km3/y2Moon: EuropaAverage orbital radius (r) in km: 6.71*105... more
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10/04/23

Undamped Motion
A weight stretches a spring 6 inches in equilibrium. The weight is initially displaced 4 inches above equilibrium and given a downward velocity of 3 ft/s. Find its displacement (in ft) for t>0... more
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10/02/23

Linear approximation of error
The distance, in feet, a stone drops in t seconds is given by d(t) =16t^2. The depth of a hole is to be approximated by dropping a rock and listening for it to hit the bottom. Assume that time... more
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10/02/23

Ordinary Differential Equation
The coefficient matrix A = [−1 +2; −2 +3] of the linear system(1) x'(t) = −x(t) +2y(t)(2) y'(t) = −2x(t) +3y(t)has one real eigenvalue λ = 1 of multiplicity two, but the eigenspace Eλ = R⋅(1,1)T... more
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08/03/23

The position vector of an object

The position vector of an object r(t) = < t^2/2 cos sqrt(2t)i + t^2/ sqrt(2) sin sqrt(2t)j + 22-tk. Calculate the time t takes for the object to reach z = 0. Then compute the distance L traveled... more
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07/08/23

t ln(t + 5) dt find indefinite integral
indefinite integral
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04/26/23

i need help find the rectangular form for the problem below
z1=1/2(cisπ/3) and z2=3(cosπ/6+isinπ/6)
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04/26/23

1 a) Find the slope of the graph of f(x) = 1e at the point where it crosses the x-axis.
b) Find the equation of the tangent line to the curve at this point.
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04/24/23

A train travels along a track and its speed (mph) is given s(t)=29t for the first half hour. Its speed is constant and equal to s(t)=29/2 after the first half hour. t is in hours.

How far (miles) does the train travel in the first hour?I think I am supposed to combine the areas of two shapes.
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04/11/23

EigenValues & EigenVectors
Find the eigenvalues λ1<λ2<λ3 and associated unit vectors v1,v2,v3 of the symmetric matrix A =
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01/26/23

Need help. What is the answer? Thank you sir.
Find the solution the following heat equation ∂u/dt = 4 ∂2u/dx2, 0<x<1, t>0 with boundary conditions u(0,t)=0,u(1,t)=0, t>0 and initial condition u(x,0)=x(1-x), 0<x<1Partial... more
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01/25/23

How many different codes are possible?
Assume that X={A, G, F, B, C} and Y={5,3,7}. A code consists of 3 different symbols selected from X followed by 3 not necessarily different symbols from Y
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01/23/23

Calculate the linear momentum for each of the following cases.
(a) A proton with mass 1.67 ✕ 10-27 kg moving with a velocity of 4.29 ✕ 106 m/s straight up.(b) A 10.0 g bullet moving with a velocity of 305 m/s to the right(c) A 69 kg sprinter running with a... more
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01/23/23

Find the volume of the wedge in the figure by integrating the area of vertical cross‑sections.
Assume that 𝑎=6,𝑏=4, and 𝑐=2.
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01/21/23

How many natural numbers m are such that: (2m-124)^3-=(3m+139)^3(mod(m+3))
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01/20/23

Find the Laplace transform of the following funtions
f(t)=t(sinh t + cosh t)2
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01/13/23

What is the equation in slope-intercept form of a line that has a slope of −12 and a y-intercept of?
What is the equation in slope-intercept form of a line that has a slope of −1212 and a y-intercept of 
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01/12/23

HELPPPPPP PLEASEEEEEEEE Are 4x and 15 + x equivalent expressions? Explain why or why not.

I just need the explanation thank you :D
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01/10/23

what is the force of gravity between ganymede and jupiter?
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10/05/22

Physics Force Question
A baseball player throws a ball at a nearby boulder. The ball hits the boulder with a speed of 39 m/s and then bounces straight up to a height of 15 m above the boulder.Assuming that the rotational... more
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09/27/22

you are given the four points in the plane A=(-2,-2) , B=(1,7),C=(4-5) and D=(7,1). The graph of the function f(x) consists of the three line segments AB,BC,CD.
Find the integral following integral by interpreting it in terms of sums and/or differences of areas of elementary figures from drawing graph f(x). Find the integral from -2 to 7 f(x) dx .
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09/25/22

Determine the linear function
Determine the linear function  knowing that the slope is 4 and f(13)=20f(x)=
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09/25/22

Time until an object reaches the bottom of a lake.
On a beautiful day you decide to go fishing with your younger brother Ben. Ben has not been fishing before so he doesn't know how to properly cast out his line. He puts the lure 29.7 cm above the... more
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09/23/22

Find the average rate of change

Find the average rate of change of the function over the given interval.f(t) = 4t + 9,      [3, 8]:Compare this average rate of change with the instantaneous rates of change at the endpoints of the... more
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