All categories

3 years ago

Use part 1 of the fundamental theorem of calculus to find the derivative of the function. g(x) = x e2t2 − 4t dt 4

1 answer:

7 0

Looks like

$\displaystyle g(x)=\int_4^xe^{2t^2-4t}\,\mathrm dt$

By the FTC,

$\dfrac{\mathrm dg}{\mathrm dx}=e^{2x^2-4x}\cdot\dfrac{\mathrm dx}{\mathrm dx}=e^{2x^2-4x}$

You might be interested in

Thanks for the help ;)

Pani-rosa [81]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

According to a study, an average of six cell phone thefts is reported in San Francisco per day. Assume that the number of report

lions [1.4K]

Answer:0.29

Step-by-step explanation:

An average of six cell phone thefts is reported in San Francisco per day. This means our mean value, u = 6

For poisson distribution,

P(x=r) = (e^-u×u^r)/r!

probability that four cell phones will be reported stolen tomorrow=

P(x=4)= (e^-6×6^4)/4!

= (0.00248×1296)/4×3×2×1

= 3.21408/24=

0.13392

P(x=5)= (e^-6×6^5)/5!

= (0.00248×7776)/5×4×3×2×1

= 19.28448/120

= 0.1607

probability that four or five cell phones will be reported stolen tomorrow

= P(x=4) + P(x=5)

= 0.13392 + 0.1607

= 0.294624

Approximately 0.29

8 0

3 years ago

Which property is shown in the following statement? (46 + 17) + 3 = 46 + (17 + 3) identity property of addition associative prop

maksim [4K]

Answer: the associative property of addition

Step-by-step explanation: when adding three or more terms, you can combine the middle terms with either the first term or the last term and as you add the results, the sum will be the same either way.

3 0

3 years ago

Read 2 more answers

The perimeter of a rectangular window is 43 feet. The width of the window is 5 ft more than the length. Find the width of the wi

Greeley [361]

Answer:

13.25 ft

Step-by-step explanation:

Let w represent the width of the window. Then w-5 represents the length, and the perimeter is ...

P = 2(L+W)

43 = 2((w-5) +w) = 4w -10

53/4 = w = 13.25 . . . feet

The width of the window is 13.25 ft.

8 0

3 years ago

Read 2 more answers

Sarah saved $12.75 every week for a number of weeks, w. She received an additional $25 during the last week in which she saved m

Umnica [9.8K]

Answer:

12.75w + 25 = 114.25

w = 7

Step-by-step explanation:

since sarah is receiving 12.75 each week for a number of weeks, w (we don't know its value yet) we know that first part of the equation: that 12.75 is the coefficient next to w. Then we have the extra 25, so we know that adding 12.75w and 25 would give us sarah's total amount, which is 114.25.

to find out what w represents, we have to solve for it. solving for w means isolating it on one side. so, what we can do first is subtract 25 from both sides. that would then make the equation:

12.75w = 89.25

now, we have only one step left to isolating w, and that's to get 12.75 on the other side somehow. since we're multiplying 12.75 with w, and we're applying additive inverse properties, meaning the opposite of what is happening to cancel it out on the side it's in, we would divide 12.75 on both sides. in the left, 12.75 would cancel out, and in the right, we would divide 89.25 by 12.75. the quotient is 7.

now there's nothing left to take out to isolate w, so we have:

w = 7

sarah saved up for 7 weeks.

3 0

4 years ago