Answer:
a) t=98
b) b=32
Step-by-step explanation:
a) 4t/7 -20=36r
r=1
4t/7-20=36
=36
4t-140=252
4y=392
t=98
b) 2k/5=b/2-12
k=10
20/5=b/2-12
4=
8=b-24
b=32
You are correct for part A, good job! :D
As for part B, I <em>believe</em> the answers are function, nonlinear, and discrete.
Please let me know if I was wrong at any time. I hope this helps!!
9514 1404 393
Answer:
(1) x(2/3) = y
(2) 27
(3) 8
(4) 9
Step-by-step explanation:
The first line of the table tells you how to fill in the second line. Use the x and y values from the third line to write (y/x) = (2/3). This gives you the equation ...
x(2/3) = y . . . . line (1)
For the remainder of the table, you can use the given value compared to the value in line 3 to see what the multiplier is for the other value.
(2): The multiplier is 18/2 = 9, so the missing x-value is 3×9 = 27.
(3): The multiplier is 12/3 = 4, so the missing y-value is 2×4 = 8.
(4): The multiplier is 6/2 = 3, so the missing x-value is 3×3 = 9.
Let 
. The tangent plane to the surface at (0, 0, 8) is
The gradient is
so the tangent plane's equation is
The normal vector to the plane at (0, 0, 8) is the same as the gradient of the surface at this point, (1, 1, 1). We can get all points along the line containing this vector by scaling the vector by 
, then ensure it passes through (0, 0, 8) by translating the line so that it does. Then the line has parametric equation
or 
, 
, and 
.
(See the attached plot; the given surface is orange, (0, 0, 8) is the black point, the tangent plane is blue, and the red line is the normal at this point)
20% is your percent m of error in this problem
