The values of the concentration C of a desired compound in terms of the time t (sec) are given in the following table t 3 9 12 18 24 30 C(t) 4.1 4.3 3.9 3.4 3.1 2.7 Assuming that the guess function is C(t) = c + ae−0.47t + be−0.06t , find the values of a, b and c that best fit this table. The values of the concentration C of a desired compound in terms of the time t (sec) are given in the following table t 3 9 12 18 24 30 C(t) 4.1 4.3 3.9 3.4 3.1 2.7 Assuming that the guess function is C(t) = c + ae−0.47t + be−0.06t , find the values of a, b and c that best fit this table.

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2

1 1/7 hope i

step-by-step explanation:

8/7 = (1 * 7 + 1) / 7 = 1 + 1/7 = 1 1/7