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3 years ago

Find the general (explicit) solution to the differential equation: dy dx = y4 cos x

1 answer:

5 0

Try this solution:dy/dx=y⁴cosx; y⁻⁴dy=cosxdx; $\int\ {y^{-4}} \, dy= \int\ {cosx} \, dx;$ $- \frac{1}{3y^3}=sinx+C; \ =\ \textgreater \ \ y^3=- \frac{1}{3sinx+C}$

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Karina bought a townhouse for $199,900. She has a 30 year mortgage with a fixed rate of 5.5%. Karina’s monthly payments are $998

vodomira [7]

Answer:

B. 12%

Step-by-step explanation:

3 0

4 years ago

What is the ending amount for a deposit of $2,000 in an account with a 1.34% interest rate, compounding semiannually, in 10 year

Simora [160]

Answer:

$2,285.76

Step-by-step explanation:

Year Year Interest Total Interest Balance

1 $26.89 $26.89 $2,026.89

2 $27.25 $54.14 $2,054.14

3 $27.62 $81.76 $2,081.76

4 $27.99 $109.75 $2,109.75

5 $28.37 $138.11 $2,138.11

6 $28.75 $166.86 $2,166.86

7 $29.13 $195.99 $2,195.99

8 $29.52 $225.52 $2,225.52

9 $29.92 $255.44 $2,255.44

10 $30.32 $285.76 $2,285.76

Base amount: $2,000.00

Interest Rate: 1.34% (yearly)

Effective Annual Rate: 1.34%

Calculation period: 10 years

6 0

3 years ago

In the diagram below of triangle BCD, E is a midpoint of BC and F is a midpoint of CD. If EF = 44 - 8x, and BD = 44 - 5x, what i

zavuch27 [327]

Answer:

BD = 24

Step-by-step explanation:

EF = 44 - 8x,

BD = 44 - 5x.

Since EF is a midsegment of ∆BCD, therefore, based on the Midsegment Theorem,

$EF = \frac{1}{2}(BD}$

$44 - 8x = \frac{1}{2}(44 - 5x}$

Multiply both sides by 2

$2(44 - 8x) = 44 - 5x$

$88 - 16x = 44 - 5x$

Collect like terms

$88 - 44 = 16x - 5x$

$44 = 11x$

Divide both sides by 11

$4 = x$

x = 4

BD = 44 - 5x

Plug in the value of x

BD = 44 - 5(4) = 44 - 20

BD = 24

7 0

3 years ago

Which of the following characteristics of a parallelogram leads to the conclusion that every square can always be classified as

4vir4ik [10]

The properties of a parallelogram that lead to the conclusion that a square is a type of parallelogram are 2nd, 3rd and 4th options.

4 0

4 years ago

What is the rate of change ?

qaws [65]

The rate of change is 3

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3 years ago