3 years ago

Rewrite the expression as a simplified expression containing one term.

Mathematics

1 answer:

bazaltina [42]3 years ago

3 0

Answer:

-(cos α)/(sin α)

= -cot α

Step-by-step explanation:

use trigonometric identities

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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

A pizza restaurant offers 21 different toppings. How many 5-topping pizzas can be created if each topping can be used only once?

STatiana [176]

4. 5 times 4 is 20. :)

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3 years ago

Read 2 more answers

I need the work and theplzzzzz

Natasha_Volkova [10]

The answer is 4 x 6 x 5 aka 120

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3 years ago

This table shows how the cost of Dana’s birthday party depends on the number of guests.

Leviafan [203]

Answer:

$4/guest

Step-by-step explanation:

$12/3 guests = $4/guest

$20/5 guests = $4/guest

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3 years ago

Help anyone please thank u

egoroff_w [7]

Answer:

That’s correct

Step-by-step explanation:

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3 years ago