1. Given are the measured values E(1/0), F(2/1) and G(3/-1).

Plot the measured values in a coordinate system and sketch the course of the compensation line.

1. Task 2 - Differentiate

a(x) = x + 1

b(x) = x³+2x

c(x) =x^n-2 - x^-1

e(x) = lnx

g(x) = sin 2x

h(x) = cos y + x siny + x x^-1

The increase E in the activity of natural killer cells (in %) by lectin preparations (active ingredient of mistletoe, used in part in cancer therapy) depends crucially on the dose x (in l per kg body weight).

E(x)= 5/9(858x50/x );x 5/8

It can be approximated by described.

a) At what dose is the effect on activity greatest?

b) What is the optimal dose for a person with 85 kg body weight?

1.You know two points each on the upper and lower leg of a test person. Using these points, determine the knee angle between the upper and lower leg.

Points upper leg:o₁ = (2 1) , o₁ = (4 1)

Points lower leg:u₁ = (2 3) , u₂ = (4 5)

1.Determine a 3rd degree polynomial function that has a relative minimum at the point P(0/-1) and an inflection point at the point Q(-1/1)!

a.) Solution only (without calculation) (5 points) (Alternative 1) b.) With correct calculation (8 points) (or alternative 2)

The degradation of a doping agent D is described by a function with the term D(h)=D₀,

(1/2)^o.5h, where D₀ is the initial concentration of D and h is time measured in hours. After taking D, an athlete has a value of D₀= 4 (mg)

What is the concentration of D in 7 hours?