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:false
Step-by-step explanation:
Answer:
Temperature after 1 minute = 184 ° F
Step-by-step explanation:
starting temperature = 200 °F
rate of decrease = 8% per minute
Temperature lost = 8% of 200 = 8/100 × 200 = 0.08 × 200 = 16 °F
It therefore means that after 1 minute, the cup of coffee loses 16 °F,
∴ Temperature after 1 minute = (starting temperature) - (lost temperature)
= 200 - 16 = 184 °F
Answer: x = 14
Step-by-step explanation:
the whole triangle's area 180 so you would add up all the angles and 66+62+38= 166 and 180-166=14 so 14 would = x