Answer:
Take a look at the 'proof' below
Step-by-step explanation:
The questions asks us to determine the anti-derivative of the function f(x) = 4x^3 sec^2 x^4. Let's start by converting this function into integral form. That would be the following:
Now all we have to do is solve the integral. Let's substitute 'u = x^4' into the equation 'du/dx = 4x^3.' We will receive dx = 1/4x^3 du. If we simplify a bit further:
Our hint tells us that d/dx tan(x) = sec^2(x). Similarly in this case our integral boils down to tan(u). If we undo the substitution, we will receive the expression tan(x^4). Therefore you are right, the first option is an anti-derivative of the function f(x) = 4x^3 sec^2 x^4.
Total kilometers Dalton's dad rides was 5 kilometers
Answer:
1000 seconds
Step-by-step explanation:
You can start by finding the unit rate for each of them to lay down a tile. That is, how many tiles they can lay down in one second. Ralph can lay one down in 1/5 of a second, while Bob takes 1/4. 1/5+1/4=4/20+5/20=9/20 of a tile per second. Dividing 450 by 9/20, you get 1000 seconds. Hope this helps!
Answer:
{-3, -4}
Step-by-step explanation:
hope it will help you☺
You have to start by adding 4/5 in order to get x alone. When you add 4/5 and 6/13, you have to find the smallest number that both the fractions can have as the same number in the denominator. For this case it is 5 because 13 times two, three, or four won't equal a number that 5 times any whole number can equal. 13 times 5 is 65 and 6 times 5 is 30 so our new fraction is 30/65. For 4/5 we do the same. In order for the bottom number to equal 65, you have to multiple the fraction by 13. 5 times 13 is 65 and 4 times 13 is 52 so our new fraction is 52/65. We now add 52/65 and 30/65 to get 82/65!