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antiseptic1488 [7]
2 years ago
15

How to find the derivative of an integral with bounds.

Mathematics
1 answer:
Free_Kalibri [48]2 years ago
3 0

Answer:

The statement of the fundamental theorem of calculus shows the upper limit of the integral as exactly the variable of differentiation. Using the chain rule in combination with the fundamental theorem of calculus we may find derivatives of integrals for which one or the other limit of integration is a function of the variable of differentiation.

Step-by-step explanation:

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20 POINTS PLEASE HELP QUICKLY!!
SIZIF [17.4K]

Answer:

They will each have saved $70.

Jessica is saving at a faster rate than Raphael.

The rate at which Jessica is adding to her savings is $4 per week more than the rate at which Raphael is adding to his savings.

Step-by-step explanation:

The formula for Jessica’s savings is

y = 10x + 20

She is saving at the rate of $10/wk .

From Raphael’s table, he started with $40 and is saving at the rate of $6/wk.

The formula for Raphael’s savings is

y = 6x +40

When the two savings are equal

10x + 20 = 6x + 40     Subtract 20 from each side

       10x = 6x + 20     Subtract 6x from each side

        4x = 20              Divide each side by 4

          x = 5

Their savings will be equal after five weeks.

=====

After five weeks , Jessica will have saved

y = 10×5 + 20  

y = 50 + 20

y = $70

Raphael has also saved $70.

=====

Jessica is saving at a faster rate than Raphael.

She is saving at the rate of $10/wk, while he is saving at the rate of $6/wk.

The rate at which Jessica is adding to her savings is $4/wk more than the rate at which Raphael is adding to his savings.

The red line in the graph shows that Jessica starts with $20. After five weeks, she has caught up to Raphael, who also has $70 after five weeks.  

6 0
3 years ago
Al's Awesome Autos advertised a special sale on cars - Dealer cost plus 5%!! Jack and Margaret ought a luxury sedan for $23,727.
Alex17521 [72]
105/23727.90=100/x
105x=23727.90x100
105x=2372790
(105x)/105=2372790/105
x=22598

dealers cost is $22,598

the 105% is the 100% price of the car plus the 5% of that tax or whatever it is
5 0
3 years ago
Can a quadrilateral be both a rectangle and a rhombus
Margarita [4]

Answer:

no, a rectangle must have 4 right angles and opposite sides are congruent

a rhombus must not have right angles and all sides are congruent

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Determine whether the following function is one-to-one. f ( x ) = 6 x + 1
seraphim [82]

Answer:

one to one function

Step-by-step explanation:

f(x)=6x+1 can only be a one to one function when x1=x2

Now,

f(x1)=f(x2)

or, 6x1 + 1 = 6x2 + 1

or, 6x1 = 6x2

or, x1 = x2

So f(x)= 6x + 1 is a one to one function

4 0
2 years ago
T5 ( volume of cylinder )
yan [13]

Answer:

Step-by-step explanation:

V=\pi r^2h=\pi *20^2*8 ≈ 10053.1in^3

4 0
3 years ago
Read 2 more answers
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