Answer:
140r2
Step-by-step explanation:
Answer:
hello :
Hello : let A(1,0) B(0,2) in this line
the slope is : (YB - YA)/(XB -XA)
<u>SOLUTION:</u>
General Equation: y = mx + b
.
Substitute slope = -2 into the equation:
y = -2x + b
.
Find the y-intercept:
4 = -2(-3) + b
4 = 6 + b
b = -2
.
Substitute b = -2 into the equation:
y = -2x - 2
.
Answer: y = -2x - 2
Answer:
a) , b) , c) , d)
Step-by-step explanation:
a) Let assume an initial mass m decaying at a constant rate k throughout time, the differential equation is:
b) The general solution is found after separating variables and integrating each sides:
Where is the time constant and
c) The time constant is:
The particular solution of the differential equation is:
d) The amount of radium after 300 years is:
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.