The following is an example of a third-order accurate forward-difference method for the first derivative, f 0 (x) = − 11 6 f(x) + 3f(x + h) − 3 2 f(x + 2h) + 1 3 f(x + 3h) h + o(h 3 ).
(1) assume that the error in calculating f 0 (a) at the point x = a with h = 0.2 is exactly 2 × 10−6 . which of the following is most true? save your answer to a10.dat.
a the error for calculating f 0 (a) with h = 0.02 is exactly 2 × 10−3 .
b the error for calculating f 0 (a) with h = 0.02 is approximately 2 × 10−3 .
c the error for calculating f 0 (a) with h = 0.02 is exactly 8 × 10−6 .
d the error for calculating f 0 (a) with h = 0.02 is approximately 8 × 10−6 .
e the error for calculating f 0 (a) with h = 0.02 is exactly 2 × 10−7 .
f the error for calculating f 0 (a) with h = 0.02 is approximate 2 × 10−7 .
g the error for calculating f 0 (a) with h = 0.02 is exactly 2 × 10−9 .
h the error for calculating f 0 (a) with h = 0.02 is approximately 2 × 10−9 .

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Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.

How much is 32 out of 40 written as a percentage? convert fraction (ratio) 32 / 40 answer:   80%