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serious [3.7K]
3 years ago
8

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

Mathematics
1 answer:
Andrei [34K]3 years ago
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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Henry located 2 1/4 and 2.1 on a number line. He wrote the following related story:
Rzqust [24]

Answer:

Jerry ran a farther distance and not Henry.

Step-by-step explanation:

We are given the following information in the question:

Jerry rain 2\frac{1}{2} miles and Henry ran 2.1 miles.

Henry claimed that he ran a farther distance.

This is a wrong claim because when we compare:

2\frac{1}{2} and 2.1

2\displaystyle\frac{1}{2} = \displaystyle\frac{5}{2} = 2 + 0.5 = 2.5\\\\2.5 > 2.1

Hence, Jerry ran a farther distance and not Henry.

Henry may have made some mistake in plotting   2\frac{1}{2} and 2.1 on the number line.

4 0
3 years ago
What is 50000x700? and 100x123,478
jok3333 [9.3K]
The question given here has two parts and each part has to be answered separately. In case of both the multiplications, the answer might look to be huge but by applying a simple technique, anybody can do these multiplications without the help of any calculator.
Now let us take the case of first multiplication that is given:
50000 * 700
= 35000000
In this case all the zeroes present has to be written first and then 7 and 5 should be multiplied and put. This will get the answer easily.
Now we take the second multiplication given:
100 * 123478
= 12347800
In this case also the zeroes are simply put on the right side of the number 123478.
7 0
3 years ago
Read 2 more answers
8y - 3y Combining like terms
Alchen [17]

Answer:

5y

Step-by-step explanation:

subtract 8 from 3

8 0
3 years ago
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Solve for the value of x.x^2 + 4x + 4 = 0​
Georgia [21]

Answer:

-2

Step-by-step explanation:

Lets factor

(x+2)(x+2)=0

x=-2

5 0
2 years ago
The cost of, y, of a large pizza with x topping from pats pizzeria can be modeled by a linear function. A large pizza with no to
Firdavs [7]

Answer:

The cost would be 22.75

Step-by-step explanation:

To find the cost of each topping, we simply take the excess cost and divide it by the number of toppings. To find the excess cost, take the new cost and subtract the original cost.

17.50 - 14.00 = 3.50

Now divide that by the amount of toppings.

3.50/2 = 1.75

Now we can multiply the new number of toppings by that amount and add the cost of the pizza.

5(1.75) + 14.00

8.75 + 14.00

22.75

3 0
3 years ago
Read 2 more answers
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