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For complex number z, the minimum value of |z| + |z - cosa - i sina|+|z - 2(cosa + i sina )| is..? Solution) |z| + |z-(e^ia)| + |z-2(e^ia)| we see.....oigin , e^ia , 2e^ia , forms a straight line.and for minimum value..... z must coincide with e^iahence the equation becomes:=|e^ia| + 0 + |-e^ia|=1 + 0 + 1=2(ANS)
express the complex number z=5+i divide 2+3i in the form a+ib
Standard interpretations to derivatives Example Assume that the amount of money in a bank account is specified by P (t ) = 500 + 10
all properties, formulas of infinite series
Simplify the logical expression X‾ Y‾ + X‾ Z + Y Z +Y‾ Z W‾ Ans: The K-Map for the following Boolean expression is described by the following diagram. The optimized expression
Business Applications In this section let's take a look at some applications of derivatives in the business world. For the most of the part these are actually applications wh
two circle of radius of 2cm &3cm &diameter of 8cm dram common tangent
Telescoping Series It's now time to look at the telescoping series. In this section we are going to look at a series that is termed a telescoping series. The name in this c
INTEGRAL OF X5^X
Let's take a look at one more example to ensure that we've got all the ideas about limits down that we've looked at in the last couple of sections. Example: Given the below gr
Find out the average temperature: Example: Find out the average temperature if the subsequent values were recorded: 600°F, 596°F, 597°F, 603°F Solution: Step
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