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mel-nik [20]
3 years ago
13

Tangent line of f(x) = sec x @ (pi/3, 2)

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
3 0
The derivitive of sec(x) is sec(x)tan(x)

find the slope at pi/3

sec(pi/3)=2
tan(pi/3)=√3

sec(x)tan(x) at x=pi/3 is 2√3

for slope=m and a point is (x1,y1)
the equation is
y-y1=m(x-x1)
slope=2√3
point=(pi/3,2)

equation is
y-2=2√3(x-pi/3)
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A worker at an automobile assembly plant checks new cars for defects. Of the first 280 cars
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Answer:

i predict the 150 will have defects

Step-by-step explanation:

you do 280 divided by 4 which gives you 70

then 10,500 divided by 70 which gives you

4 0
3 years ago
What is the y-intercept of the quadratic function f(x)=x^2-5x+6?
tatiyna

Answer:

6

Step-by-step explanation:

f(x)=x^2-5x+6

To find the y intercept, set x=0

f(0) = 0^2 -5(0) +6

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Question 1
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7 0
2 years ago
-------
Tomtit [17]

a) The cost for 10 mile taxi ride is $18

b) The cost for m mile taxi ride is 1.5 m + 3

Step-by-step explanation:

Step 1 :

The fixed charges for the pick up = $3

Charges per mile = $1.50

Let s denote the total miles driven and t be the total cost for the trip

This can be represented by the equation

t = 3 + 1.5s

Step 2:

Distance traveled by Jonathan in his trip = 10 miles

So cost for riding 10 miles is

t = 3 + 1.5(10) = 3 + 15 = $18

The cost for 10 mile taxi ride is $18

Step 3 :

If the distance traveled is m miles, then substituting s = m in the above equation we get the cost as 1.5 m + 3

Step 4 :

Answer :

a) The cost for 10 mile taxi ride is $18

b) The cost for m mile taxi ride is 1.5 m + 3

3 0
2 years ago
X+y=3 x=6-4y using substitution
kenny6666 [7]

Givens

x + y = 3

x =6 - 4y

Solution

Use the top equation to substitute for x in the second equation.

x = 3 - y

Put this result into the second given equation and solve for y

3 - y = 6 - 4y        Add 4y to both sides.

3 - y + 4y = 6       Combine on the left

3 + 3y = 6            Subtract 3 from both sides

3 - 3 + 3y = 6 - 3  Combine

3y = 3                   Divide by 3

3y/3 = 3/3             Combine

y = 1                      

=========================

x + y = 3               but y = 1

x + 1 = 3                Subtract 1 from both sides.

x + 1 - 1 =3 - 1

x = 2

Answer

x = 2

y = 1

4 0
3 years ago
Read 2 more answers
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