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If roots of (x-p)(x-q) = c are a and bwhat will be the roots of (x-a)(x-b) = -c please explain?Ans) (x-p)(x-q)=cx2-(p+q)x-c=0hence, a+b=p+q and a.b=pq-c a.b+c=p.qby solving other eq we getx2-(a+b)x+ab+c=0thus sum of roots=a+b=p+q product of roots=a.b+c=p.qhence its roots are pand q
Quadric Surfaces Earlier we have looked at lines and planes in three dimensions (or R 3 ) and when these are used fairly heavily at times in a Calculus class there are several
Example of Integrals Involving Trig Functions Example: Estimate the following integral. ∫ sin 5 x dx Solution This integral no longer contains the cosine in it that
A man invest ?13500 partly in shares paying 6% at ?140 and partly in 5% at 125.If he is tolal income is 560, how much has he invested in each?
show that, sin 90 degree = 2 cos 45 degree sin 45 degree
A digital filter has zero at z=a and poles at z=b andz=c, where a, b, c are the real constants. Determine the transfer function and the frequency response function of the filter an
what is the meaning of volume of plane figures?
Evaluate the subsequent integral. ∫ (tan x/sec 4 x / sec 4 x) dx Solution This kind of integral approximately falls into the form given in 3c. It is a quotient of ta
how does sin of x equal negative 1/3
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The temperature in Hillsville was 20° Celsius. What is the equivalent of this temperature in degrees Fahrenheit? This problem translates to the expression 3 {[2 - (-7 + 6)] + 4
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