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4 years ago

Find the particular solution of the differential equation that satisfies the initial condition. f '(x) = −8x, f(1) = −3

Mathematics

1 answer:

Iteru [2.4K]4 years ago

4 0

Step-by-step explanation:

f(x) = integral (-8x) dx = -4x^2 + C

f(1) = -3 = -4 + C

C = 1

f(x) = -4x^2 + 1

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(-6,-8) and (-6,3)<br> What the standard form of this?

Igoryamba

Answer:

68,63

Step-by-step explanation:

5 0

3 years ago

A scale model of a street sign is in the shape of a triangle. The base is 4.25 cm and the height is 8.8 cm what is the area of t

agasfer [191]

Answer:

18.7 cm²

Step-by-step explanation:

To work out the area of a triangle you have to use the formula

$\frac{1}{2} * B * H$

Where "B" is the base and "H" is the height

Since these are decimals, I like to convert them into fractions which makes them easier to calculate with

The base is 4.25 cm which will turn into $4\frac{1}{4}$

The height is 8.8 cm which will turn into $8\frac{8}{10}$

Now we use the formula

$\frac{1}{2} * B * H$

$\frac{1}{2} * 4\frac{1}{4} *8\frac{8}{10}$

→ Convert to improper fractions

$\frac{1}{2} * \frac{17}{4} *\frac{88}{10}$

→ Simplify

$\frac{187}{10}$

→ Convert into decimal

18.7

7 0

3 years ago

Need help, please I can’t get these wrong!

algol13

Answer:

1: 119 2: 61 3: 61 4: 119 5: 119 6: 61 7: 61

Step-by-step explanation:

Since we know that m & n are parallel we can prove which angles are congruent to angle 8 and which are supplementary

5: 119 (vertical to angle 8)

1: 119 (corresponding angles theorem

2: 61 (linear pair)

3: 61 (vertical to 2)

4: 119 (vertical to 1)

6: 61 (same sided interior angles theorem)

7: 61 (corresponding)

4 0

4 years ago

Read 2 more answers

Si compras una cabra por 20 la vendes por 40 pero la compras de vuelta por 60 y la vuelvas a vender por 80 cuanto dinero habra g

julia-pushkina [17]

Answer:

Step-by-step explanation:

-20 +40 -60 +80

estw es el processo

6 0

4 years ago

The area of a rectangular table is given by the trinomial x^2+7x-30. What are the possible dimensions of the rectangle? Use fact

ArbitrLikvidat [17]

A table will have a length and width, so the area will be just that, the product of those two factors, so in short, simply factor the area of x²+7x-30.

now, if we do a "prime factoring" of 30, we get 2*3*5, and we can mix them as 2*5 and 3, to get the factors of (x² + 10)(x²-3).

7 0

3 years ago