(a) Find a vector-parametric equation r⃗ 1(t)=⟨x(t),y(t),z(t)⟩r→1(t)=⟨x(t),y(t),z(t)⟩ for the shadow of the circular cylinder x2

Answer:

The accurate statements are 2 and 3.

Step-by-step explanation:

Consequently, point S maps to point V, point R corresponds with point U, and point Q corresponds with point T.

Based on this information, let's review the statements:

1) SQ corresponds to VU. False as SQ corresponds to VT

2) ∠R corresponds to ∠U. True

3) UV corresponds to RS. True

4) ∠S corresponds to ∠T.  False since ∠S corresponds to ∠V

5) QS corresponds to RS. False since QS corresponds to TV

Therefore, the true statements are 2 and 3.

2) ∠R corresponds to ∠U

3) UV corresponds to RS.

Answer:

25 one-dollar bills, 13 five-dollar bills, and 12 ten-dollar bills.

Step-by-step explanation:

The equations that can be formed are:

x+y+z=50 (1)

x+5y+10z=210 (2)

x= 2y-1 (3)

where x = number of one-dollar bills,[tag_20] y = number of five-dollar bills,

Substituting (3) into (1) and (2) gives:[

2y-1+y+z= 50

3y+z=51

2y-1+5y+10z= 210

7y+10z=211

You will then derive the following equations:

3y+z=51 (4)

7y+10z=211 (5)

Next, isolate z using (4) and substitute it into (5):

z= 51-3y

7y+10(51-3y)=211

7y+510-30y=211

-23y=-299

y= 13

After substituting the value of y into z= 51-3y, we find:

z=51-3(13)= 51-39= 12

Now, replace y's value in (3):

x=2(13)-1= 26-1= 25

Thus, the final result indicates there are 25 one-dollar bills, 13 five-dollar bills, and 12 ten-dollar bills.

Answer:

Step-by-step explanation:

The equation provided is:

d = 5x + 10xf

We need to isolate x from this equation.

Factoring out x from the right side gives us,

d=x(5+10f)

To find x, divide both sides by (5+10f),

Thus, this represents the sought value for x.