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Harlamova29_29 [7]
3 years ago
13

Can someone help me please

Mathematics
1 answer:
Valentin [98]3 years ago
3 0

Answer:

It is B (5x10^11)

Step-by-step explanation:

hope this helps! pls award/stars/heart

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Suppose that $6500 is placed in an account that pays 17% interest compounded each year. Assume that no withdrawals are made from
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Step-by-step explanation:

At the end of 1 years, the amount in the account will be:

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Verify that the given point is on the curve and find the lines that are (a) tangent and (b) normal to the curve at the given poi
lara [203]

For each curve, plug in the given point (x,y) and check if the equality holds. For example:

(I) (2, 3) does lie on x^2+xy-y^2=1 since 2^2 + 2*3 - 3^2 = 4 + 6 - 9 = 1.

For part (a), compute the derivative \frac{\mathrm dy}{\mathrm dx}, and evaluate it for the given point (x,y). This is the slope of the tangent line at the point. For example:

(I) The derivative is

x^2+xy-y^2=1\overset{\frac{\mathrm d}{\mathrm dx}}{\implies}2x+x\dfrac{\mathrm dy}{\mathrm dx}+y-2y\dfrac{\mathrm dy}{\mathrm dx}=0\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2x+y}{2y-x}

so the slope of the tangent at (2, 3) is

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and its equation is then

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(I) The tangent has slope 7/4, so the normal has slope -4/7. Then the normal line has equation

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3 0
3 years ago
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