Given one to one f(6)=3, f'(6)=5, find tangent line to y=f⁻¹(x) at (3,6)
OK, we know
f⁻¹(3)=6
The inverse function is the reflection in y=x. So slopes, i.e. the derivative will be the reciprocal. We know the derivative of f at 6 is 5, so the derivative of f⁻¹ at y=6 is 1/5, which corresponds to x=3.
f⁻¹ ' (3) = 1/5
That slope through (3,6) is the tangent line we seek:
y - 6 = (1/5) (x-3)
That's the tangent line.
y = x/5 + 27/5
Answer:
1468 in³
Step-by-step explanation:
First get get the total volume of the rectangular prism:
length l = 10 in
width w = 15 in
height h = 10 in
diagonal d = 20.6155281 in
total surface area Stot = 800 in²
lateral surface area Slat = 500 in²
top surface area Stop = 150 in²
bottom surface area Sbot = 150 in²
volume V = 1500 in
Now get get the volume from the missing rectangular prism:
ength l = 4 in
width w = 4 in
height h = 2 in
diagonal d = 6 in
total surface area Stot = 64 in²
lateral surface area Slat = 32 in²
top surface area Stop = 16 in²
bottom surface area Sbot = 16 in³
volume V = 32 in³
So 1500in³- 32 in³ =1468 in³
Answer:
14
Step-by-step explanation:
Given that:
Each fish bowl to have pebbles of weight equivalent to = 
Total pounds of pebbles that Timothy can use = 
To find:
The greatest value of Total number of fish bowls that Timothy can fill ?
Solution:
First of all, we need to convert mixed fraction into a fractional number and then we also need to see division of two fractions.
Formula:
Now, the given mixed fraction can be converted to fractional number as:
Now, To find the total number of fish bowls that can be filled, we need to divide the total number of pounds with number of pounds of pebbles in each fish bowl.
So, the answer is:
<em>14</em> number of fish bowls can be filled.
n + q = 35
n = 35-q
0.05n + 0.25q = 8.15
0.05(35-q) +0.25q = 8.15
1.75 -0.05q + 0.25q =8.15
1.75 + 0.20q = 8.15
0.20q = 6.40
q = 6.40 / 0.20 = 32
32 quarters and 3 nickels
You will want to solve for where y=0.
-6x - 2(0) = -18.
-6x = -18
x = 3
The equation's x-intercept is at (3,0)
