ms

a solution has gluten concentration of 2000ug/mL at 150uL. if 2uLof that solution is taken out what is the quantity of gluten in ppm?

Find circumference of the circle r=2acos theta. s= Int (0 to 2pi) of Sqrt(4a^2cos^2 theta+4a^2sin^2 theta)d theta =Int (0 to 2pi)2a*Int theta d theta =2a(2pi-0)=4a*pi Book shows 2a*pi. Am I wrong somewhere?

Find complete length of curve r=a sin^3(theta/3). I have gone thus- (theta written as t) r^2= a^2 sin^6 t/3 and (dr/dt)^2=a^2 sin^4(t/3)cos^2(t/3) s=Int Sqrt[a^2 sin^6 t/3+a^2 sin^4(t/3)cos^2(t/3)]dt =a Int Sqrt[sin^4(t/3){(sin^2(t/3)+cos^2(t/3)}]dt=a Int...

Book works out integral of sqtr(a^2-x^2)dx as a^2/2*arcsin(x/a)+x/2*sqrt(a^2-x^2) by taking x=a sin theta, and advises to work it out using x=a cos theta. I did and got the first term as -a^2/2*arccos(x/a)and the same second term. This means arcsin x/a=-a...

Integral of dx/{(x+1)sqrt(x^2+4x+2)} is given as -arcsinh{(x+2)/(xsqrt3)}, but I am not getting it.? The hint given is 'Put 1/(x+1)=t' Using it, the expression reduces to Int. -1/sqrt(1+2t-t^2). How to proceed further to get the desired result?

An Olympic turkey moving at 20.0 m/s down a 30.0° slope encounters a region of wet snow and slides 145 m before coming to a halt. What is the coefficient of friction between the turkey and the snow? The accelerations down the hill is 1.4 m/s^2.

Determine the instantaneous rate of change of f(x)=x/x-2 , at x=-5

Determine the rate of change of f(x)=x/x-3 , on the interval -5≤x≤ 8

1.30 M = 1.30mols of solute/L of solvent mass of Cacl2 = 1.30 mols CaCl2 x 111g/mol CaCl2(molar mass)= 144.3g of CaCl2 (solute) Solution = 1.11g/ml mass of solution = 1.11g/ml x 1000ml/L x1L = 1110g (solution) mass of solvent = 1110g (solution) - 144.3g (...

no i think we don't need to use 150ul.. can u solve it without using 150ul?

Sorry, slight typo. Please reasd it as Int (0 to 2pi)2a*Int d theta=2a(2pi-0)=4a*pi

Thanks a lot for guiding,please.

Thanks a lot for guiding. Kindly let me know if it should be a routine procedure to plot the complete curve everytime or can it be conveniently worked out analytically? I used this formula for integrating Int sin^2x dx=1/2*(x-1/2*sin2x)which is a std form...

Mr. Graham, Thank you very much for elaborate explanation. Kindly also let me know if it is ok to find at what values of theta the r becomes 0 and take that as period of curve? If so, plotting the complete curve every time may not be required.

Thank you very much.

30x2+Ax1=(30+A)1.6 60+A=48+1.6A or 0.6A=12 or A=20. Total mix=50oz and cost=30*2+20=80$ Or 80/50=1.6$/oz.

Differentiate cost function and equate it to 0, i.e. 0.1(2x)-1.2=0 or x=1.2/0.2=6; Second derivative is0.2which is+ve hence it corresponds to minimum cost level. Hence x=6,i.e. 600 bikes. Cost/bike for 600 bikes will be =0.1x36-1.2x6+4.993=1.393 hunderd $...

Thanks for the advice. I checked the problem statment and answer several times and got the same result. I also suspect it to be a print mistake in the book.

im ot sure what im suposed to do

its b I think