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How to find time in case of torricelli's theorem (fluids)?

Thoughts on the recent announcement made about the future of the Socratic website? Share them here!

#int int_R e^((xy)/2)dA# where #R#:the region bounded by #y=1/4x,y=2x,y=1/x,y=4/x# Evaluate integrals?

The value of #lim_(h→0)1/hint_2^(2+h)sin(x^2)dx#is?

Two forces of magnitude 10N and 10N can't produce a resultant of 1) 0N 2) 20N 3)15N 4)none ??

The sum of A and B is 5i+j and their difference is 3ij what is vector A?

What is the angle between two vectors.A=ij and B=i+k?

Please help me solve this problem. Transform the equation to new variables (u and v). How do you do this?

How to solve the differentialintegral equation?

The magnetude of vector product of two vectors is ✓3 times it's scalar product what is the angle b/t them?

How do you find #F( s ) = \int _ {  \infty } ^ { + \infty } f ( x ) e ^ {  j 2\pi s x } d x#?

How do you find the exact area of the surface obtained rotating the curve about the #x#axis of #y=sqrt(8x)#, #2<=x<=8#?

How to do this question?

Let #f(x)=x^21/(x1)#. Then, #f# has a local maximum at #x#=?

A particle excutes SHM of frequency f. The frequency of its kinetic energy is ?

Evaluate the integral?

Two springs are in a series combination and are attached to a block of mass 'm' which is in equilibrium. Spring constants:k and k’ Extensions:x and x’ respectively. Find the force exerted by spring on the block?

Given Y=sin(2sin^1(x)), find dy/dx ?

Why isn't #dy/dx = 3x + 2y# a linear differential equation?

Solve the following differential equation X(dy/dx)+2y=(x^2)logx?

F(x) = {x^2 ,−1 ≤ x < 0
{x, 0 ≤ x ≤ 1
a. Is ƒ continuous at x = 0?
b. Is ƒ differentiable at x = 0?
Give reasons for your answers.

Solve the differential equation (dy)/(dx)=(4y^(2))/(x) ?

How do you find the area of the surface generated by rotating the curve about the yaxis #x=t+1, y=1/2t^2+t, 0<=t<=2#?

#intint_D cosxy dxdy#, where #D: {[x>=0],[y>=0],[x>=y]}#?

How do you find parametric equations for the line which passes through the point (1,−2,3) and is parallel to both of the planes 3x + y + 5z = 4 and z = 1 − 2x?

If a resister of resistance R is cut 3 equal parts.then what is the resistance of equivalent r when connected in parallel?

How I resolve this limit?

Evaluate #int_0^4 ##int_(sqrtx)^2 sqrt(1+y^3) dydx#=?

How to prove ?

How do you find?#int_0^2int_0^sqrt(4x^2)(4y^2)^(3/2)dydx#

Physics Work and Energy Question?

#intint_R(x+y)dA# by circle area is #x^2+y^2=9#?

Solve this differential equation explicitly, either by using partial fractions, or with a computer algebra system. Use the initial populations 350 and 450.
Can anyone please help me with this problem and explain how you got the answers?

Specify the x and y coordinates? (Mechanics)

What is the method for solving this integral? I know it needs tan trig substitution but I can't remember how.

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. #int_(e^x)^0 2sin^(2)t dt# ?

Can you replace c with velocity in #E = mc^2#?

If α,β are the roots of x²+axb=0 and γ,δ are the roots of x²+ax+b=0 then (αγ)(αδ)(βδ)(βγ)=?

How to find an equilibrium of the second order system?

How does the variation of the period change in a compound pendulum? How does the period change with different lengths and amount of pendulums? What equations can be used in a compound pendulum?

For a particle of a rotating rigid body, #v=r\omega.# So
(1) #\omega \propto (1/r)#
(2) #\omega \propto v#
(3) #v \propto r#
(4) #\omega# is independent of #r#
Which options are correct?

Can someone help me answer this SHM problem?

The electric field intensity at P and Q in the shown arrangement are in the ratio???

How do you find the volume of the solid enclosed by the surface z=xsec^2(y) and the planes z=0, x=0,x=2,y=0, and y=π/4?

#vecP+vecQ+vecR=0# and #vecP=3, vecQ=4, vecR=5# then angle between #vecP# and #vecR# is?

A person moving on earth's surface starts from north and moves 500km towards south and then moves 1000km towards East and then again 500km towards north and stopped.find the magnitude of the displacement of the person ?(assume earth to be perfect sphere)

Find a function f and a value of the constant a such that 2#int_a^xf(t)dt=2sinx1# ?

The resultant of two vectors#vecP# and #vecQ# is #vecR#. if the magnitude of#vecQ# is doubled , the new resultant becomes perpendicular to #vecP#. then magnitude of #vecR# is?

Find the volume of the solid bound by the planes z=0, x=1, x=2, y=1,y=1 and the surface z=x2+y2?

In a series RC circuit, does the current lag the source voltage?

Find the displacement with an increasing acceleration? The actual question is below.

How can I find the Fourier transform of 1/(t+2)^2?

How do you find the instantaneous rate of change of #lnx#? please explain the steps

A tightly stretched string with fixed end points x=0 and x=l is initially in a position given by y=y_0 sin³(πx/l).It is released from rest from the initial positions.Find the displacement y(x,t)?

Find the complete integral of the equation (∂z/∂x_1)(∂z/∂x_2)(∂z/∂x_3)=z³x_1x_2x_3?

(help pls)A wooden rod is placed on top of the piston, performs a vertical simple harmonic motion. find 1) and 2)?

Calculate the distance traveled over 5 seconds by finding the area under the curve?

If n is a natural number whuch when divided by4 leaves a remainder 3, then what is the remainder obtained when #n^2 + 6n  10# is divided by 8?

Light of wavelength 5000 Å and intensity 39.8 W/m² is incident on a metal surface. If only 1% photons of incident light emit photo electrons, then what will be the number of electrons emitted/sec/unit area from the surface?

Potential energy of mass m is U(x)=Eₒ,when 0≤x≤1, =0when x≻1.The total energy of the particle is 2Eₒ. The De Broglie wave length of the particle is λ₁ when 0≤x≤1 and λ₂ when x≻1. what is the ratio of λ₁ and λ₂ ?

A farmer wants to fence an area of 6 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. How can he do this so as to minimize the cost of the fence?

A meteorite travelling through space enters a cloud of gas. The initial speed is #u# ,
and after penetrating the cloud by a distance of #x# the deceleration is #kx^2# . Find the
distance the meteorite penetrates?

Find the instaneous rate of change of y=2x+3 ?

If a spring is cut into 9 equal pieces then they r connected in series with the same mass.what will be it's frequency relative to the original frequency?my text book says that the answer is 9f.but Time period of spring does not depend on length.right?

What happens to the frequency of a mass attached to spring when energy becomes 16times?

The relation between the velocity and the position of a particle is v=Ax+B , where A & B are constants. Acceleration of the particle is 10 when its velocity is a.How much is the acceleration when it's velocity is 2a?

If a particle moves with acceleration = #10x2x^3# and v= 0 at x=1, is the motion simple harmonic? And how do you describe the motion?

Can some one help with this one? I am new to derivatives.

If vector P+vector Q=vector R ;and if P^2+Q^2=R^2 then find the angle between the vectorP and vectorQ?

A particle moves with velocity #v=6t# from time t=0 to t=10. How do you find the average velocity with respect to a) time and b) distance?

Let f(x,y)=xe^y ye^x The gradient of f at (0,0) is ∇f(0,0)=?

A particle is travelling an elliptical path described by #(3sin(2t)), 4cos(2t))#. Find the points at which it is travelling fastest?

Two rain drops each of radius r are falling with terminal velocity vt while in motion they coalesce into one drop what is the terminal velocity of the drop so formed?

A mass is bouncing on the end of a vertical spring/ Its motion will be simple harmonic if the spring: ?

The acceleration of a particle moving along the xaxis is given by a = #2x^310x#. a) if u = 3 show that the particle oscillates within the interval #1<=x<=1#
b) Why is it not simple harmonic motion
c) if u=6 describe the motion?

The electric potential at point (x, y, z) Is given by V=x²yxz³+4. What is the magnitude of electric field at (1,1,1)?

How would solve the equation?

Let the angle between two non zero vectors A(vector) and B(vector ) be 120(degrees) and its resultant be C(vector). Then which of the following is(are) correct?

How do you calculate the derivative of #int(2x+3)^2dx# from #x=1# to #x=0#?

Can you help me with this double integral?

Eight electric dipoles (each having charge 'e') are placed at the centre of a regular cube of each side '1m'. What is the total normally outward flux through the cube?

Find the image of the point 1,2,3 in the plane x + 2y + 4z  38 =0
Help?

How to find the limit for #lim x > 0 ( 1/(xsqrtx) * int_0^sqrtx cos(pi/2*e^(t^2))dt)# with l'Hospital?

Let F(x) = integral of 2t/t^2+1 from 2x to x^2, find the value of Fprime(2)? (Picture included)

Give one example of motion in which a body has constant speed but not constant velocity?

How is impulse related to momentum?

What is the limit of #x(sqrt(x^(2)+1)) # as x approaches infinity?

A particle travels the circumference of the equation x^2 + y^2 = 1 counterclockwise. At what points in the circle does the ordinate(y) decrease with the same speed that the abscissa(x) grows? Use derivates

Let there be spherically symmetric charge distribution with charge density P(x)=Pₒ[(5/4)(r/R)] upto r=R, P(r)=0 for r≻R. Where 'r'is the distance from origin. What is the electric field at a distance 'r' (r≻R) form the origin?

If #A+B / AB=1# what is the value of A.B and A X B??

I don't understand what I did wrong in my process?
The question is: Find the point on the plane 6x − y + 6z = 60 nearest the origin.
The answer is: < 360/73, 60/73, 360/73 >
I got: < 6(360/73), 1(360/73), 6(360/73) >

Calculate #lim_(xto1)(e^f(x)1)/(x1)# ?

A ball is dropped from a height of 10 feet.Each time it hits the ground, it bounces to 80% of it's previous height.
Find the total distance travelled by the ball?

If #hat(a_1),hat(a_2)and hat(a_3)# are unit vectors and #2hat(a_1)+2hat(a_2)+hat(a_3) =0# then angle between #hat(a_1) and hat(a_2)# is ?

What are the parametric equations for the tangent line at t=3 for the motion of a particle given by x(t)=4t^2+3, y(t)=3t^3?

Differentiate logcosxw.r.to(cos(x))^1/2?

Given #z# is a complex number such that #Arg(z) = theta# and #z = r# , write an expression for each of #Arg(4z^3)# and #4z^3# in terms of r and/or θ. How should I approach this?

Calculate #vec u# + #vec v#
help?

The volume of the cuboid in which 3 adjacent edges on it are represented by #vecA(3,4,0)#,#vecB(0,4,3)#,#vecC(0,0,5)# equals.....cubic units?

Find the differential of the following function?: y = sin 5x^3

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