Given that the function f(x)=xe^-2 has a root on [0 85,0 90]. find this root using secant method an accuracy of 0008 check the convergence with absolute rasidual error exercise 2 a) seperate the root of the function cosx +1-x0 b) estimate the root using bisection method by performing 4 iterations d) compare the results estimate the root using false position method by performing 4 iterations exercise 3: solve the equation cosr-( for the larger root by newton method with an accuracy of & s 0.005 check the convergence with absolute successive error using newton method with an accuracy of &

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

step-by-step explanation:

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