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Hunter-Best [27]
2 years ago
11

How do you integrate 7xe^-5x²?

Mathematics
1 answer:
Nana76 [90]2 years ago
3 0
Making assumptions about where parentheses should be, 
<span>Let u = -7x </span>
<span>du = -7dx </span>
<span>dv = e^(2x) dx </span>
<span>v = e^(2x)/2 </span>
<span>∫ -7xe^(2x) dx = </span>
<span>-7xe^(2x)/2 - ∫ e^(2x)/2 (-7) dx = </span>
<span>-7xe^(2x)/2 + 7e^(2x)/4 + c</span>
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Janie receives an allowance of $3 per week.
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Janie receives an allowance of $3 per week.
In addition, she can earn $2 for each chore she does.
This week, she wants to earn enough money to buy a CD for $13.
Janie can do fractions of chores.

Write an inequality to determine the number of chores Janie must do this week to earn enough money to buy a CD.
13 <= 2c + 3 is the inequality.

Hope this helps!
8 0
3 years ago
Read 2 more answers
Y = x² – 4 y = 2r + 4​<br><br>Solve algebraicallu for the solutions of equations below.
oksano4ka [1.4K]

Step-by-step explanation:

Okay, the first step is to rewrite this equation in "vertex form." You can search that up but it's basically just (h/k).

y = ( x − 1) 2 + 3

Now, we are going to use the vertex form, "y = a (x - h)2 + k, to get the values of a, h, and k.

By using the form we get 1 for the value a, 1 for the value h, and 3 for the value k.

1 = a

1 = h

3 = k

Becuse the value of a is positive, the parabola opens up!  (A parabola is the U shaped line in a graph, so that opens up.)

Now, we find the vertex (h,k)

which is (1,3)

Now we find the p from the vertex to the focus.  (vertext the top, focus one of the points.)

Follow this formula to find the distance from the vertex to a focus by using this formula

1/4a.

Now we just gonna substitue 1 for a, since we know that 1 equals a above ^

1/4 * 1

Solving that, we got a nice little 1/4.

Next we find the focus

"Find the focus.

The focus of a parabola can be found by adding p to the y-coordinate k if the parabola opens up or down.

(h,k+p)

Substitute the known values of h, p, and k into the formula and simplify.

(1,134)

Find the axis of symmetry by finding the line that passes through the vertex and the focus.

x=1

Find the directrix.

y=114

Use the properties of the parabola to analyze and graph the parabola.

Direction: Opens Up

Vertex: (1,3)

Focus: (1,134)

Axis of Symmetry: x=1

Directrix: y=114

Select a few x values, and plug them into the equation to find the corresponding y values. The x values should be selected around the vertex.

xy−1704132437

Graph the parabola using its properties and the selected points.

Direction: Opens Up

Vertex: (1,3)

Focus: (1,134)

Axis of Symmetry: x=1

Directrix: y=114

xy−17041324"

(Sorry if this is long! But I hope you understand it better now! Thanks for the points!)

3 0
2 years ago
If you have a cake and cut the cake into six equal pieces. 3 pieces are given to guests.
SashulF [63]

Answer:

1 1/2

Step-by-step explanation:

one and a half because you have a half leftover and 1 whole

6 0
3 years ago
Read 2 more answers
The perimeter of a rectangle is 50 feet and its area is 154 feet. What are the dimensions of the
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14 and 11 are it dimensions

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The first one is 75% i think I dont know if thats the answer though hold on and I'll get you the others

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