Answers created by Ultrilliam
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What is the angle between A×B andB×A?
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A meteorological balloon of mass 0.2 Kg falls vertically from rest, the total resistance at V m/s is approximately (1+0.1V)N taking g=9.8 m/s^2# . Calculate:
a) The terminal velocity?
b) Time taken for the balloon to reach half of the terminal velocity?
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Calculate the values of the molar heat capacities Cv and Cp of a gas,if the ratio of the heat capacities is 1.33.What is the atomicity of the gas?Given R=8.31J/mol-k.
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The current in a circuit is 8+4i amps. The impedance is 7+ i ohms. What is the voltage?
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What is the null space for a linearly independent system?
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Say I'm moving parallel to someone else and we are both accelerating in the same direction at the same rate. Would he seem stationary to me? Could we tell we were accelerating?
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If vector A& B are such that |A+B|=|A|=|B|, then |A-B| may be equated to √3|A|. proof??
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Why does not the speed of sound depends on the pressure of the air?
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What is the frequency of this wave?
What is the wavelength of this wave?
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A space ship approaches Earth at a speed of 0.8 C. The ship shoots a laser at a nearby meteor. What is the speed of the light of the laser?
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Find the area, for #y=1/x#, #y=x# and #y=x/4# (x>0) How would i find a and b intervals when given more than two functions?
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If we increase kinetic energy of a body 300% then percent increase in momentum is...??
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A stone is thrown into a circular pond of radius 1 meter. Suppose the stone falls uniformly at random on the area of the pond. What will be the expected distance of the stone from the center of the pond?
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If a ball is initially dropped from height h and has coefficient of restitution 0.9 .How many bounced will the ball make before comping to rest?
Please help...
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How do you test the improper integral #int absx(x^2+1)^-3 dx# from #(-oo, oo)# and evaluate if possible?
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Two insulated charged spherical bodies having radii R and 2R have their same surface density of charges (D). When these two bodies are connected by a conducting wire, what will be the surface density of charge of the bigger sphere?
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A pendulum consists of a small mass 'm' suspended by a thread of length 'l'. The mass carries a +q charge. The pendulum is placed in uniform electric field 'E' directed vertically upwards. What will be the time period of the oscillation?
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Vector A=i- 2j+ k, what will be the unit vector parallel to XY plane and perpendicular to vector A?
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Would this system be consistent, inconsistent, or dependent? Would it be dependent because x and z could be any real number?
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Two equal vectors V and V' are added together. What are the possible values for the magnitude of the resultant vector?
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Why don't inelastic collisions conserve energy?
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Any near or quite same example for #lim_(x -> 0) (sin pi /x)# ?
appreciate if u help.
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What is the energy loss of a photon of a certain wavelength after scattering?
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Compute double integal e^x dx from 1to2 dy and from 0 to lny ?
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A projectile is thrown with the speed 'u' at an angle '⍬' to the horizontal. What is the radius of curvature of it's trajectory when the velocity vector of the projectile makes an angle '⍺' with the horizontal?
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The figure shows the curve #y=x^2# and the point D(-1,0). P(p,0) is a variable point on the x-axis and PQ is parallel to the y-axis. Express the area,A, of the triangle DPQ in terms of p.
?
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A large water tank open at the top has a small hole through its side near the bottom. To what height should the water be filled, to double the speed of water that flow out of the hole when it was filled to height h? A.h B.2h C.3h D.4h
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Write the seven terms of the Fourier series for a function with period 2π and with the coefficients a0=6.5, a1=-4.2, a2=2.1, a3=3.1, b1=8.5, b2=-4.3, b3=3.8?
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How do you differentiate #23000(0.93)^t#?
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The distance between two objects with mass m1 and m2 are in the intergalactic space is equal to l.
With no other forces acting except gravity, how soon will they collide?
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A boat mass M and I fill it up with fuel mass m. When it moves with velocity υ the resistive force is F=kυ^2. 1kg of fuel gives λ Joules of energy*. How much fuel (kg) is needed to sail d meters?
*Suppose no energy is lost.
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How to find dx when given transformation?
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How can Newton's first law be derived from Newton's second law?
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Why i = 0 A ?
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How to solve this ?
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If #a,b and c# are the #p^(th)#, #q^(th)# and #r^(th)# term of an AP then show that #p(b-c)+q(c-a)+q(a-b)=0#?
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How do I calculate this ?
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How do you show that the series #ln1+ln2+ln3+...+lnn+...# diverges?
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Find the length of the curve y=ln e^x-1/e^x+1 from x=1 to x=2?
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If #A#, #B# and #A+B# are idempotent matrices, then prove that #AB+BA=0#?
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How do you solve this function? help please!
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How do you determine the concavity of # y=2cosx+sin2x#?
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How do you evaluate the integral #int sqrt(4+x^2)#?
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Help me please, Two particles each of mass m, are joined by a thin string of length 2L, as shown in Figure 48. A uniform force F is applied in the middle of the string (x = 0) forming a right angle with the initial position of the string. Show that th????
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What is the difference uniform and constant velocity ?Is acceleration zero in case of both constant and uniform velocity?
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Why φ (phi) = x and r = y ?
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Find #f# and 'calculate' the integral?
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How can I prove this equation: #"mvr" = "nh"/(2π)#?
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Evaluate #lim _(xrarr 0) |x|/x# ?
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How do you use Part 1 of the fundamental theorem of calculus to find the derivative of the function #y= int (1+v^2)^10 dv# from sinx to cosx?
Please help have been looking at problem for a hour can't figure out how to work it?
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How can i find the answer in this problem with first values?:sin(x)dx+ydy=0 ,y(0)=-2
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#x^2 dy/dx +2x^2y= x^2 e^(-2x)# PLEASE HELP Integrating factor?
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A star with the same color as the Sun is found to produces a luminosity 81 times larger. What is its radius compared to the Sun?
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Q: find a general solution of the differential equation. How to solve it? Thank you! (pictures below)
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Suppose A & B are square matrices that satisfy AB+BA=0, where 0 is the square matrix of 0's. Then which of the following holds?
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A particle is projected at an angle A and after t seconds, it appears to have an angle of B with the horizontal. The initial velocity is:-
A)gt/(2 sin(A-B))
B)gt cos B/(sin (A-B))
C)sin(A-B)/2gt
D)2 sin(A-B)/(gt cos B)?
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Solving second order of homogenous equation. It states to find the particular solution. Can someone help me?
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How to find the maximum distance traveled by a ball of mass M, tied to a light elastic string, projected vertically downwards with an initial velocity of Vo?
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Check whether the function f(z)=(2z-z^2) is harmoic or not?
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How do you show the following are true for the two vectors 𝑢̅ = 4𝑥𝑦𝑖̅ − 2𝑧𝑗̅ + 11𝑥3𝑘̅ and 𝑣 ̅ = 𝑥 𝑦 𝑖 ̅ + 3 𝑥 2 𝑗 ̅ + 6 𝑘̅ 𝑧? a. ∇×(𝑢̅+𝑣̅)=∇×𝑢̅+∇×𝑣̅ b. ∇.(𝑢̅+𝑣̅)=∇.𝑢̅+∇.𝑣̅ Thank you!
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Derivative of y with respect to x,
y=|sinx|+|cosx| at x=2π/3 is ?
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How to answer this ?
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Why smaller mass has higher kinetic energy?
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Lim x___0 sinhx -sinx/x^3 ?
using L’ Hopital’s rule
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Linear/Separable Differential Equations Question (Engineering First Year Calculus)?
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How to find the normalized form of an eigenvector if that eigenvector has a complex element ,forexample find the normalized form of [1/√2;i/√2;1/√2]?
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What is the continuous solution to to the differential equation (x^2+5)y'+2xy=f(x), y(1)=1 where f(x)=0 when x<0, f(x)=x when 0<x<1 and f(x)=1 when x>1 ?
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Find the value of integral in the branch b?
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How to find the limit for #lim x -> 0 ( 1/(xsqrtx) * int_0^sqrtx cos(pi/2*e^(t^2))dt)# with l'Hospital?
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Differential Equations Question (First Year Engineering Calculus II)?
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A particle of mass m moves under the force given by F = a(sinωt i +cosωt j). a,w are constants and t is time.It is intially at rest at the origin.What is work done on the particle up to time t and the instantaneous power given to the particle at time t?
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Bohr and Planck's equation?
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Show by using matrix method that a reflection about the line #y=x# followed by rotation about origin through 90° +ve is equivalent to reflection about y-axis.?
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How do you determine what percentage of chlorine is in the pool after 1 hour if a pool whose volume is 10000 gallons contains water the is 0.01%chlorine and starting at t=0 city water containing .001% chlorine is pumped into the pool at a rate of 5 gal/min while the pool water flows out at the same rate?
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What is the speed of the ball at point B? (Physics)
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Determine the Fourier series expansion for full wave rectified sine wave i. (details inside)?
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Need help with a growth problem ?
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Can an electric field exist in a vacuum?
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Show that the nuclear density of 1H1(mass no-1&atomic no-1)is over 10^14 times greater than its atomic density (assume the atom to have the radius of the first Bohr orbit).In this question,what should I put for nuclear mass&atomic mass?
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Let U=[-1,2,5].find all scalars k such that ||kU||=4?
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Help with an indefinite integral?
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What is the derivative of #lnx^lnx#?
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A circular coil (10 turns, diameter = 25 cm) is placed perpendicular to a uniform magnetic field (B = 2.7 x 10-3 T). If the direction of the magnetic field is reversed in 0.30s, what is the average emf induced in the coil?
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What is the exact length of the spiraling polar curve #r=5e^(2theta)# from #0# to #2pi#?
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How to prove that #int_0^oo##(e^(-alphax)sinx)/x dx=cot^-1alpha# given that #int_0^oo sinx/x dx = pi/2#?
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The coordination of a particle in the xy-plane are differentiable functions of t with dx/dt=-1m/sec and dy/dt=-5m/sec.
How fast is particle's distance form the origin changing as it pass through the point(5,12)?
I desperately need help with these problem
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How can i solve this equation ?
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Find the general solution of #(dy/dx) = y^2-4# ?
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Ordinary boron is a mixture of 10B5(mass no=10,atomic no=5)&11B5(mass no=11,atomic no=5)isotopes & has a composite atomic mass of 10.82u.What percentage of each isotope is present in ordinary boron?
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What will be the volume of the cylinder: #x^2 + y^2 = 4# and the planes #y+z=4# and #z=0#?
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I have a Work word problem I need help completing?
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In simple harmonic motion of a spring, how does increasing the mass affect the amplitude and what equations do I use to prove it?
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Does amplitude of a spring mass system change when mass is added?
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Use differentials (linear approximation) to approximate #25/(3.1^2+3.8^2)#?
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19. "Describe the motion of a particle with position (#x,y#) as #t# varies in the given interval" ?
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What is the reason behind the fact that natural systems always tends to evolve towards configuration of minimum potential energy?
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How will you prove the following?
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Answer question a) why does A = A (t) = 6x^2? ,
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The radius of a spherical soap bubble increases @ 0.2 cm per second find the rate of increase of its surface area when the radius is 7 cm?
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