[calculus] 7. the edge of a cube was found to have a length of 50 cm with a possible error in measurement of 0.1 cm. based on the measurement, you determine that the volume is 125,000 cm^3. use tangent line approximation to estimate the percentage error in volume. 0.6% 0.9% 1.2% 1.5% 1.8% a point on a damped spring has motion given by s(t)=2e^(-1.5t) s in(2(pi)t), where s is measured in centimeters and t is measured in seconds. choose which of these is the graph for the velocity function for 0 < or equal to t < or equal to 4

(7)

error percentage is 0.6%

(8)

Graph-C

Step-by-step explanation:

(7)

we are given cube

Let's assume edge of cube =x

so, volume of cube will be

we are given

V=125000

so, we can find 'x'

So,

now, we can use linear approximation formula

we have

we can plug a=50

we can find derivative

now, we can plug x=50

now, we can plug these values

and we get

so, error is

now, we can find percentage error

Percentage is

=0.6%

so, error percentage is 0.6%

(8)

we are given

We will find derivative

To get velocity , we will find derivative

we can use product rule

and we get

so, we get velocity equation as

now, we can draw graph

we can see that firstly , we get maxima and then minima

so, our graph would be

graph-C........Answer

x² + 3x + 7 = 0       [ax² + bx + c]

a = 1

b = 3

c = 7

quadratic formula:

    (+/- is this ±)

plug in the numbers into the variables

your answer is a