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vlada-n [284]
3 years ago
11

Calculus Help Show that one function is not an antiderivative of another

Mathematics
1 answer:
liraira [26]3 years ago
6 0

Just differentiate <em>G</em> and <em>H</em> :

• d<em>G</em>/d<em>x</em> = d(<em>x</em> ² <em>eˣ </em>)/d<em>x</em> = 2<em>x</em> <em>eˣ</em> + <em>x</em> ² <em>eˣ</em>

so <em>G</em> is not an antiderivative of <em>f</em>.

• d<em>H</em>/d<em>x</em> = d(2<em>x</em> <em>eˣ</em> - 2<em>eˣ</em> ) = (2<em>eˣ</em> + 2<em>x</em> <em>eˣ</em> ) - 2<em>eˣ</em> = 2<em>x</em> <em>eˣ</em> = <em>f(x)</em>

so <em>H</em> is indeed an antiderivative of <em>f</em>.

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An Uber fare is calculated using the formula: Base Fare + (Cost per minute x time of the ride in hours).
pantera1 [17]

Answer:

$40

Step-by-step explanation:

substitute numbers:

20 + (10x3)

20+30= 40.

3 0
2 years ago
Students in classes, displayed below, ate the same ratio of cheese pizza slices to pepperoni pizza slices. Complete
Nikitich [7]
Need more information to answer this, put up the whole question and table
6 0
3 years ago
Read 2 more answers
Find x, if the perimeter is 106 <br> 3x+6<br> 2x-3
slega [8]
So we are given that the perimeter is 106 and two problems to solve
we will write this as an equation
106 = 3x + 6
we will subtract 6 from both sides
100 = 3x 
now divide by 3 to isolate the variable
we will get 33 1/3 as the x

for the second one
106 = 2x - 3
add three to both sides
109 = 2x 
divide by 2 to isolate the variable
we will get 54 1/2 as the x

Hope this helps :)
3 0
4 years ago
Please help! BRAINLIEST!
Jet001 [13]

2x - 2y = -12

4x - 7y = -15

Multiply the first equation by -2 to make the 2x the opposite of 4x:

2x - 2y = -12 x -2 = -4x + 4y = 24

Now add this to the second equation:

-4x + 4y = 24 + 4x - 7y = -15:

-3y = 9

Divide both sides by -3

y = 9 / -3

y = -3

Now you have Y, replace y in one of the equations and solve for x:

2x - 2(-3) = -12

2x +6 = -12

Subtract 6 from both sides:

2x = -18

Divide both sides by 2:

x = -18 /2

X = -9

Check:

2(-9) - 2(-3) = -12

-18 + 6 = -12 TRUE

4(-9) - 7(-3) = -15

-36 +21 = -15 TRUE

X = -9, y = -3

(-9,-3)

4 0
3 years ago
The correct expression for a number which is 9 times as big as the number obtained after p has been increased
defon

Answer:

9(p + 4)

Step-by-step explanation:

One of the unknown variable is p.

First of all, we know that the number is 9 times as big (multiplication) as the new number obtained through the addition of four to p i.e (p + 4).

Translating the word problem into an algebraic expression, we have;

9 * (p + 4) = 9(p + 4)

Simplifying further, we have;

9p + 36

4 0
3 years ago
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