A generic point on the graph of the curve has coordinates
The derivative gives us the slope of the tangent line at a given point:
Let k be a generic x-coordinate. The tangent line to the curve at this point will pass through and have slope
So, we can write its equation using the point-slope formula: a line with slope m passing through has equation
In this case, and , so the equation becomes
We can rewrite the equation as follows:
We know that this function must give 0 when evaluated at x=0:
This equation has no real solution, so the problem looks impossible.
Answer:
The change in her speed is 7 m/s - 4 m/s = 3 m/s.
Step-by-step explanation:
Speed is defined as the rate of change of distance with time.
i) Let the total distance of the cross country be x meters.
ii) The change in her speed is 7 m/s - 4 m/s = 3 m/s.
It needs more informational text on the question
Answer:
<B is 126degrees
Step-by-step explanation:
Find the diagram attached. From the diagram, <A = <B (corresponding angle)
Given
<A = 8x + 78
<B = 2x+114
Equating both expressions
8x+78 =2x + 114
8x-2x = 114 - 78
6x = 36
x = 36/6
x = 6
Get <B
Recall that <B = 2x+114
<B = 2(6) + 114
<B = 12 +114
<B = 126degrees
Hence the measure of <B is 126degrees
Let's change Jeff to Geoff so we have salaries
Translating into symbols, ignoring the irrelevant work histories,
f=3g
m=50000
j=60000
w=2m
g= (3/4) m
Solve for f
j seems unconnected and we can ignore w too.
f=3g = 3(3/4) m = 3(3/4) (50000) = 112500
Frank's salary is
Answer: $112,500