All categories

3 years ago

Find the equation of the tangent line to the graph of f(a) = sec(a) at the point (0, 1).

1 answer:

5 0

Let the required equation be y = mx + c; where y = 1, m = f'(0), x = 0
f(a) = sec(a)
f'(a) = sec(a)tan(a)
f'(0) = sec(0)tan(0) = 0

y = mx + c
1 = 0(0) + c
c = 1

Therefore, required equation is
y = 1.

You might be interested in

OF bisects EOF. EOF=y+30 and FOG=3y-50. solve for y.

Alexeev081 [22]

It always helps to draw a picture. Given the information, Segment OF is the center line that is bisecting this angle.

Since it's bisecting (cutting in half)... we can simply set the two angles equal to each other.

y+30=3y-50
-2y+30=-50
-2y=-80
y = 40

C)40.

3 0

3 years ago

How many dekameters are in 225 millimeters? Use the metric table to help answer the question.

Arada [10]

Answer:

0.0225 dekameters

hope it helps

Step-by-step explanation:

1 millimeter = 0.0001 dekameters

0.0001 x 225 = 0.0225

8 0

3 years ago

Read 2 more answers

Formula for finding perimeter/circumference of major sector<br> plz no links<br> in a hurry

Rainbow [258]

Answer:

C = 2πr or C = πd

Step-by-step explanation:

Hope this helps :)

3 0

2 years ago

Whoever gives me the correct answer to this will get a brainlest <br> I need the answer ASAP!

Amiraneli [1.4K]

Volume of cone= 1/3πr^2h

8842.24 m^3= 1/3πr^2h

1/3*3.14*33*r^2= 8842.24m^3

r^2 = 8842.24*3/3.14*33

r^2= 26526.72/103.62

r^2 = 256

r= √256

r= 16m

Hope it helps. Please mark brainliest.

8 0

3 years ago

Select the functions that have identical graphs.

Elan Coil [88]

Answer:

c. 1 and 3

Step-by-step explanation:

To quickly solve this problem, we can use a graphing tool or a calculator to plot each equation.

Please see the attached image below, to find more information about the graph

The equations are:

1) y = sin (3x + π/6)

2) y = cos (3x - π/6)

3) y = cos (3x - π/3)

Looking at the graphs, we can see that the identical ones

are equations one and three

Correct option:

c. 1 and 3

3 0

3 years ago