Answer:
<h2>The slope of the line tangent to the function at x = 1 is 2.01 ≅2.</h2>
Step-by-step explanation:
Using the formula of derivative, it can be easily shown that, 
where 
.
Here we need to show that as per the instructions in the given table.
Δy = f(x + Δx) - f(x) = f(1 + 0.01) - f(1) = 
.
In the above equation, we have put x = 1 because we need to find the slope of the line tangent at x = 1.
Hence, dividing Δy by Δx, we get, 
.
Let's examine this taking a smaller value.
If we take Δx = 0.001, then Δy = 
.
Thus, 
.
The more smaller value of Δx is taken, the slope of the tangent will be approach towards the value of 2.
Answer:f(t)=4/9t — 12
Step-by-step explanation:
1. 4 is being multiplied by t first then divided by 9 not by 4/9 so there shouldn’t be any parentheses.
2. 12 is being subtracted from this so it should be 4/9t—12.
3. Final answer: f(t)= 4/9t — 12
The distance of the ship from the shore is given by:
tan θ=opposite/adjacent
θ=28°
adjacent=x
opposite=360 m
substituting the values in our equation we get:
tan 28=360/x
solving for x we get
x=360/tan 28
x=677.06 m
Answer:
1) The system of equations is 
and 
2) The first number is 
and the second number is 
Step-by-step explanation:
1) Let be "x" the first number and "y" the second number.
Remember that:
a- The word "times" indicates multiplication.
b- A sum is the result of an addition.
c- "Is" indicates this sign: 
Then, the sum of 5 times "x" and 4 times "y" is 75, can written as:
And "The sum of the two numbers is 18" can written as:
Therefore, the System of equations is:
2) You can use the Elimination Method to solve it:
- Multiply the second equation by -5, add the equations and then solve for "y":
- Substitute the value of "y" into any original equation and solve for "x":
Answer:
120 minutes
Step-by-step explanation:
1 hour = 60 min
2x = answer
x = 60
2 (60) = 120
Answer = 120 minutes
