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3 years ago

Does anyone know the awnser please

Mathematics

1 answer:

Luda [366]3 years ago

8 0

Answer:

please which level is this

and also is it core maths or elective math

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Solve the equation. StartFraction dx Over dt EndFraction equals StartFraction 1 Over x e Superscript t plus 7 x EndFraction An i

MAVERICK [17]

Answer:

$\frac{1}{49}(7x-1)e^{7x}+e^{-t}=C$

Step-by-step explanation:

We are given that

$\frac{dx}{dt}=\frac{1}{xe^{t+7x}}$

We have to find the implicit function

Using separation variable method

$\frac{dx}{dt}=\frac{1}{xe^t\cdot e^{7x}}$

By using property $x^a\cdot x^y=x^{a+y}$

$xe^{7x}dx=e^{-t}dt$

By using property $\frac{1}{x^a}=x^{-a}$

Taking integration on both sides

$\int xe^{7x}dx=\int e^{-t}dt$

Parts integration method

$\int u\cdot v dx=u\int vdx-\int (\frac{du}{dx}\int vdx)dx$

By parts integration method

$x\int e^{7x}dx-\int (\frac{dx}{dx}\int e^{7x}dx)dx=-e^{-t}+C$

Using formula $\int e^{ax} dx=\frac{e^{ax}}{a}+C$

$\frac{xe^{7x}}{7}-\frac{1}{7}\int e^{7x}dx=-e^{-t}+C$

$\frac{xe^{7x}}{7}-\frac{1}{49}e^{7x}+e^{-t}=C$

$\frac{1}{49}(7x-1)e^{7x}+e^{-t}=C$

We are given that

$F(x,t)=C$

$F(x,t)=\frac{1}{49}(7x-1)e^{7x}+e^{-t}=C$

8 0

3 years ago

Which segments are parallel?

MAXImum [283]

AB & CD
they have the same degree & are equally apart.

7 0

3 years ago

Which of the following is a true polynomial identity?

Ira Lisetskai [31]

Answer:

c. (x^2+1)(x^2+a)-a = x^2(x^2+a+1)

Step-by-step explanation:

You can use FOIL or the distributive property to expand the product of binomials, Then collect terms and factor out the common factor.

(x^2+1)(x^2+a)-a

= x^2(x^2 +a) +1(x^2 +a) -a

= x^4 +ax^2 +x^2 +a -a

= x^4 +ax^2 +x^2

= x^2(x^2 +a +1) . . . . . matches choice C

6 0

3 years ago

Read 2 more answers

Someone help me with this ..

Delicious77 [7]

$3x+12=4x-15\\
x=27\\\\
\angle ABC=2(3x+12)=2(3\cdot27+12)=2(81+12)=2\cdot93=186^{\circ}$

6 0

4 years ago

Price-club sells a 12-ounce package of spaghetti noodles for $3.44 and Shop Mart sells a 2-pound box of spaghetti

cricket20 [7]

Answer:

Price-Club: $0.28

Shop Mart: $4.17

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all you have to do is divide 3.44÷12= $0.28 and 8.35÷2=$4.17

Hope I helped you out :)

7 0

3 years ago

Read 2 more answers