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3 years ago

Given the function g(x)=−x^2+3x, which of the following is the correct limit definition of g′(2)?

Mathematics

1 answer:

GrogVix [38]3 years ago

4 0

Answer:

solve for

. To find the y-intercept, substitute in

for

and solve for

x-intercept(s):

(

)

(

−

)

y-intercept(s):

(

)

Step-by-step explanation:

hope it helps make brainlliest ty the

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two children, moe and joe, are allowed to select candy from a plate of nine pieces of candy. Moe, being younger, is allowed to c

Ugo [173]

Joe is correct because Moe could choose two pieces but had a nine piece variety where as Joe could only choose from 7 pieces of candy

3 0

2 years ago

3. (6 Points). Solve the initial value problem y'-y.cosx=0, y(pi/2)=2e

Stells [14]

Answer:

$y=2e^{sin(x)}$

Step-by-step explanation:

Given equation can be re written as

$\frac{\mathrm{d} y}{\mathrm{d} x}-ycos(x)=0\\\frac{\mathrm{d} y}{\mathrm{d} x}=ycos(x)\\\\=> \frac{dy}{y}=cox(x)dx\\\\Integrating \\ \int \frac{dy}{y}=\int cos(x)dx \\\\ln(y)=sin(x)+c$ ............(i)

Now it is given that y(π/2) = 2e

Applying value in (i) we get

ln(2e) = sin(π/2) + c

=> ln(2) + ln(e) = 1+c

=> ln(2) + 1 = 1 + c

=> c = ln(2)

Thus equation (i) becomes

ln(y) = sin(x) + ln(2)

ln(y) - ln(2) = sin(x)

ln(y/2) = sin(x)

$y= 2e^{sinx}$

7 0

2 years ago

Find the area, correct to the nearest square

Lady bird [3.3K]

Answer:

1269 square meters

Step-by-step explanation:

The path and the plot of land form two concentric circles (they have the same center). The radius of the plot of land is 100m (half of the diameter) and the radius of the larger circle, formed by putting a 2m wide path around the plot of land, is 102m. Thus, the area of the path is $\pi *102^2$ minus $\pi *100^2$ which will be $10404\pi-10000\pi$ which is $404\pi$ . Estimate $\pi$ to 3.141 and calculate, getting 1268.964... which is 1269, rounded to the nearest square meter.