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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
What is Perfect Squares ? Any number that can be written as an integer to the power of two is called a perfect square. For example, 4 can be written as 2 2 4 is a "perfect sq
Model of 180 meter tall building using a scale of 1.5 centimeters = 3.5 meters. How tall will the model be?
What are square roots
Q. What are Complex numbers? Ans. Complex numbers are numbers of the form a + bi, where a and b are real numbers and i is a special number called the imaginary unit, which
Verify Liouville''''s formula for y "-y" - y'''' + y = 0 in (0, 1) ?
Definition of Natural exponential function: The natural exponential function is f( x ) = e x where, e= 2.71828182845905........ . Hence, since e > 1 we also know that e x
A vertical post stands on a horizontal plane. The angle of elevation of the top is 60 o and that of a point x metre be the height of the post, then prove that x = 2 h/3 .
Determine or find out the direction cosines and direction angles for a = (2, 1, -4) Solution We will require the magnitude of the vector. ||a|| = √ (4+1+16) = √ (21)
Y=θ[SIN(INθ)+COS(INθ)],THEN FIND dy÷dθ. Solution) Y=θ[SIN(INθ)+COS(INθ)] applying u.v rule then dy÷dθ={[ SIN(INθ)+COS(INθ) ] dθ÷dθ }+ {θ[ d÷dθ{SIN(INθ)+COS(INθ) ] } => SI
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