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3 years ago

Is this right? Find the equation of the tangent line to the graph of f(x)=sec(x) at the point (0,1).

1 answer:

7 0

$\bf f(x)=sec(x)\implies \left. \cfrac{dy}{dx}=sec(x)tan(x) \right|_{x=0}\implies 0
\\\\\\
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-1=0(x-0)\implies y-1=0\implies y=1$

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Tori worked 48 hours one week. Her hourly pay for 40 hours is $16.20. Her overtime rate is 1.5. What was her

konstantin123 [22]

Her total pay that week was $660

5 0

2 years ago

A cylindrical roller 2.5 m in length, 1.5 m in radius when rolled on a road was found to cover the area of 16500 m2 . How many r

eduard

Answer:

701 revolutions

Step-by-step explanation:

Given: Length= 2.5 m

Radius= 1.5 m

Area covered by roller= 16500 m²

Now, finding the Lateral surface area of cylinder to know area covered by roller in one revolution of cylindrical roller.

Remember; Lateral surface area of an object is the measurement of the area of all sides excluding area of base and its top.

Formula; Lateral surface area of cylinder= $2\pi rh$

Considering, π= 3.14

⇒ lateral surface area of cylinder= $2\times 3.14\times 1.5\times 2.5$

⇒ lateral surface area of cylinder= $23.55 \ m^{2}$

∴ Area covered by cylindrical roller in one revolution is 23.55 m²

Next finding total number of revolution to cover 16500 m² area.

Total number of revolution= $\frac{16500}{23.55} = 700.6369 \approx 701$

Hence, Cyindrical roller make 701 revolution to cover 16500 m² area.

8 0

3 years ago

Find f(x) if it is known that f(x+3)=4x+12.

MArishka [77]

Solution:

we are given that

$f(x+3)=4x+12$

we have been asked to find f(x).

we can find the value of f(x) by re-writing the given function in the form of f(x+3) and thereafter we will replace (x+3) by x.

we can re-write the given function as below

$f(x+3)=4(x+3)\\\\\Rightarrow f(x)=4x\\$

Hence the expression representing f(x) is f(x)=4x+3.

8 0

3 years ago

Read 2 more answers

Help me please !!!!

fiasKO [112]

Answer:

BC = 10

Step-by-step explanation:

BC = BD - CD

BC = 14 - 4

BC = 10

6 0

3 years ago

Elena receives $131 per year in simple interest from three investments totaling $3000. Part is invested at 3%, part at 4% an

ioda

Answer:

Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%.

Step-by-step explanation:

Given that Elena receives $ 131 per year in simple interest from three investments totaling $ 3000, and part is invested at 3%, part at 4% and part at 5%, and there is $ 1000 more invested at 5% than at 4%, to find the amount invested at each rate, the following calculations must be performed:

1500 x 0.05 + 500 x 0.04 + 1000 x 0.03 = 75 + 20 + 30 = 125

1600 x 0.05 + 600 x 0.04 + 800 x 0.03 = 80 + 24 + 24 = 128

1700 x 0.05 + 700 x 0.04 + 600 x 0.03 = 85 + 28 + 18 = 131

Therefore, Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%

7 0

3 years ago