Answers edited by Ananda Dasgupta
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F(x)=e^0.5x when x<=0 and f(x)=(xh)2+k when x>0 find h and k such that f(x) is both continuous and smooth at x=0?

#psi_A(x,0) = sqrt(1/6)phi_0(x) + sqrt(1/3)phi_1(x) + sqrt(1/2)phi_2(x)#
Calculate the expectation value #<E># at any later time t=#t_1#, #phi_n# are energy eigenfunctions of the infinite potential well .Write the answer in terms of #E_0#?

A frequency of variation of kinetic energy of a simple harmonic motion of frequency n is?

How do you solve the inequality #x^2+3x28<0#?

Find the Taylor series expansion formula of #f(x)=\lnx# at #a=3#?

What is the antiderivative of # ln(x^2 + 2x + 2)#?

Integrate. What is the next step ?

Find the sum of the infinite series #ne^(1n)# from #n=1# to #oo#?

A projectile is shot from the ground at an angle of #( pi)/3 # and a speed of #9 m/s#. Factoring in both horizontal and vertical movement, what will the projectile's distance from the starting point be when it reaches its maximum height?

Three rods each of mass M and length L, are joined together to form an equilateral triangle. What is the moment of inertia of a system about an Axis passing through its centre of mass and perpendicular to the plane of the triangle?

Integral Lnx/(1+x)^2 dx Answer Guys ???

How to derive 1st of motion from second law of motion?

In a garden a boy is swinging in the standing position how will the time period of the swing be affected if the boy sites down on the swing?

An amount Q of heat is added to a mono atomic ideal gas in a process in which the gas performs a work Q/2 on its surrounding .find equation of the process?

A town's January high temperatures average 36°F with a standard deviation of 10°, while in July the mean high temperature is 74° and the standard deviation is 8°. In which month is it more unusual to have a day with a high temperature of 55°?

A particle of mass #m# moving with speed #v# hits elastically another stationary particle of mass #2m# inside a smooth horizontal circular tube of radius #r#. The time after which the second collision will happen?

What is the derivative of #f(x)=sqrt(1+log_3(x)# ?

How do you factor the expression #6 a^2  ab + 7 b^2#?

How to complete this electrical current table?

What is the answer please?

What are the local extrema of #f(x)= xlnxxe^x#?

How to define a, b, c, d, e that are integer between 19 so that matrix is a symmetry matrix?

A particle moves in the xy plane with velocity #v_x#=#8t2# and #v_y#=2.If it passes through the points #x=14# and #y#=4 at #t#=2,what is the equation of the path?

What is the area of the shaded segment?

What is the arclength of #(1/t^2,1/t)# on #t in [1,2]#?

#intint_Asqrt(xyy^2)dxdyquadquadA={(x,y)inRR^2; 0<=y<=3, x/10<=y<=x}# Would anyone help me?

Find two numbers whose sum is 12 such that the sum of the square of one plus 4 times the other is a maximum?

The number of solution of the equation
3^(sin2x+2cos2x)+
3^(1sin2x+2sin2x)=28 in [0,2π]?

If the area under the curve of f(x) = 25 – x2 from x = –4 to x = 0 is estimated using four approximating rectangles and left endpoints, will the estimate be an underestimate or overestimate?

How to integrate 1/(64x^2+100)?

How do you evaluate the integral #int sqrtxsqrt(4x)#?

What is the integration of #(dx)/(x.sqrt(x^3+4))#??

Question #265f1

Please solve with a detailed explanation?

A particle begins to move with a tangential acceleration of constant magnitude #0.6m/s^2# in a circular path. If it slips when it's total acceleration becomes #1m/s^2#, then the angle through which it has turned before slipping is?

How many solutions are there to the following system of equations 4x – 8y = 0
and –3x + 8y = –7?

The answer is?

Find # i# for #t>0 # if the circuit is in steady state at # t=0# ?

An object moves along a curve has an acceleration of 5 m/s^2 at 30° with its velocity of 5 m/s at some instant . The radius of curvature of the path at that instant is ?
a) 10 m
b) 20 m
c) 5 m
d)15 m

What are the range of initial values using the NewtonRaphson method for #(x9)/(x^2+1)=0# for it to converge to 9?

Triangle A has an area of #15 # and two sides of lengths #4 # and #9 #. Triangle B is similar to triangle A and has a side of length #12 #. What are the maximum and minimum possible areas of triangle B?

Integrate #x^3/sqrt((x^2+16))# dx using trig substitution?

Find the required limit algebrically, if it exists.
lim (x+3)/(x3) if x approaches 4 ?

Show that the line integral #int_{1,2}^{3,1}(y^(2)+2xy)dx+(x^(2)+2xy)dy# is independent of path and evaluate it?

How do you solve #sin(x/2)1=0# between the interval #0<=x<8pi#?

When a load is connected to a voltage divider, will the total resistance of the circuit increase or decrease?

If the AM and GM for 10 observations are both 15 then the value of harmonic mean......?

How to find result ?

How do you solve for x given #\frac{2x}{7}+9  > frac{5}{7}#?

Total resistance of the circuit ?

When #a1/a=1#, #a^51/a^5 =#?
how to solve....

I cut a triangle ABC out of a piece of paper. I found out that sinA+sinB+sinC=5/2 and a/sinA=16. What is the triangle’s perimeter?

A parellel plate capacitor with plate speration d is charged with a battery so that energy stored is #"U"#. If a plate of dielectric #"K"# and thickness d is placed betweeen the plates of capacitor and battery remains connected. The work by battery is?

A radioactive isotope #""_Z^XA# decay and emits one alpha particle and two beta particles
consecutively. How to write the formula for the nuclides produced?

#y=f(x)# is given. Graph, #y=f(3x)2# and #y=f(x1)#?

Let #'f'# be an even periodic function with period '4' such that #f(x) = 2^x1#, #0<=x<=2#. The number of solutions of the equation #f(x) = 1# in #[10,20]# are?

What is the solution to the integral of 2cosx + 3sinx / cosx + sinx? Thanks

#int sqrt(x^2+5/x)=#?

17!/(5!*12!) ?

A circular loop wire with current I1=I∘π and a V shaped wire with current I2 are arranged in a plane as shown in diagram. If magnetic field at O is zero, value of I2 is ?
(a)#(13aI_@)/35r#
(b)#(12aI_@)/17r#
(c)#(aI_@)/r#
(d)#(12aI_@)/35r#

How do you prove [(sinxcosx)/(secxcscx)]=[(sin2x)/2]?

A circle touches two perpendicular lines
#2x3y=15#
and
#3x+2y=3#
at the points
#A(6,1)#, #B(1,0)#
respectively. Find the equation of the circle?