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mixas84 [53]
3 years ago
5

10.) For the natural logarithm function, determine the point on the curve where its associated tangent line passes through the

Mathematics
1 answer:
Lunna [17]3 years ago
4 0

f(x)=lnx

y=f(x)

dy/dx= 1/x

tangent at (x,y) has slope 1/x

eqn of tangent is y = mx + c

since the tangent passes through origin, c=0

substitute y = lnx and m= 1/x to above eqn

lnx = 1

x=e

y=lne=1




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I need the answer ASAP Tap on the picture to see it fully
bezimeni [28]

Answer:

g = 55

f = 55

h = 55

Step-by-step explanation:

g = 180 - 25 = 55

this is because angle on a straight line is equal to 180 degrees

f = 55

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6 0
3 years ago
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kumpel [21]

Answer:

x=32

Step-by-step explanation:

7 0
3 years ago
What is the percent of change in 6 yards to 36 yards
BaLLatris [955]

Answer:

The percent of change in 6 yards to 36 yards is 500% .

Step-by-step explanation:

Formula

Percentage = \frac{Change\ in\ value\times 100}{initial\ value}

Where

Change in value = Final value - initial value

As given

The percent of change in 6 yards to 36 yards.

Final value = 36 yards

initial value = 6 yards

Change in value = 36 - 6

                           = 30 yards

Put in the formula

Percentage = \frac{30\times 100}{6}

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Percentage = 500%

Therefore the percent of change in 6 yards to 36 yards is 500% .


3 0
3 years ago
Read 2 more answers
Which expression is equivalent to 32 ⋅ 3−5? fraction 1 over 3 to the power 3 fraction 1 over 3 to the power 7 fraction 1 over 3
mars1129 [50]
Given expression 3² × 3⁻⁵

We will apply the power rule x^m*x^n=x^{m+n}

3² × 3⁻⁵ = 3²⁺⁽⁻⁵⁾ = 3²⁻⁵ = 3⁻³

We will then apply the power rule x^{-n} =  \frac{1}{x^n}

3⁻³ = \frac{1}{3^3}

Final answer: \frac{1}{3^3}
3 0
3 years ago
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If x and y are 2 complementary angles then find the value of y if measure of angle x is 20 degree
schepotkina [342]

Answer:

y=70 degrees

Step-by-step explanation:

If 2 angles are complimentary, they add up to 90 degrees.

x+y=90 degrees

x=20 degrees

y=90-20 degrees

y=70 degrees

If that is wrong, try this. Let's say the questions gives us the fact that x is 20 degrees greater than y.

y=x

Substituting x for y, the equation is x+x+20=90

Since y is x, x would also be y, which is 35. then x+20 would be 55.

So y would be 35.

THE ANSWER WOULD BE <u><em>70 DEGREES</em></u>, BUT IF THAT IS WRONG, DO THE SECOND ONE, WHICH IS 35

6 0
3 years ago
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