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3 years ago

Twice a number x increased by 10 is 52

Mathematics

1 answer:

musickatia [10]3 years ago

4 0

Answer:

x = 21

Step-by-step explanation:

the equation is 2x + 10 = 52

2x = 42

x = 21

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If the graph of y=f(x) passes through the point (0,1), and dy/dx=xsin(x^2)/y, then f(x)= ?

Zigmanuir [339]

The differential equation

dy/dx = x sin(x ²) / y

is separable as

y dy = x sin(x ²) dx

Integrate both sides:

∫ y dy = ∫ x sin(x ²) dx

∫ y dy = 1/2 ∫ 2x sin(x ²) dx

∫ y dy = 1/2 ∫ sin(x ²) d(x ²)

1/2 y ² = -1/2 cos(x ²) + C

Solve for y implicitly:

y ² = -cos(x ²) + C

Given that y = 1 when x = 0, we get

1² = -cos(0²) + C

1 = -cos(0) + C

1 = -1 + C

C = 2

Then the particular solution to the DE is

y ² = 2 - cos(x ²)

Solving explicitly for y would give two solutions,

y = ± √(2 - cos(x ²))

but only the one with the positive square root satisfies the initial condition:

√(2 - cos(0²)) = √1 = 1

-√(2 - cos(0²)) = -√1 = -1 ≠ 1

So the unique solution to this DE is

y = √(2 - cos(x ²))

4 0

2 years ago

Whats the anser to this please help out

Paha777 [63]

Answer:

The answer is B

Step-by-step explanation:

5 0

2 years ago

Please take a look at the picture. Please write your answer with an explanation.

g100num [7]

Answer:

Step-by-step explanation:

<h3>Given question:</h3>

To simplify - 

$14 + 16 \div {2}^{3} - (12 + {3}^{2} ) \div 7 + 2 \times ( - 5)$

<h3>Solution:</h3>

According to PEMDAS rule,

[First parenthesis]

$= 14 + 16 \div {2}^{3} - (12 + 9 ) \div 7 + 2 \times ( - 5)$

$= 14 + 16 \div {2}^{3} - 21 \div 7 + 2 \times ( - 5)$

[Then exponents]

$= 14 + 16 \div 8 - 21 \div 7 + 2 \times ( - 5)$

[Then multiplication]

= 14 + 16 ÷ 8 - 21 ÷ 7 - 10

[Then division]

= 14 + 2 - 3 - 10

[Then addition]

= 16 - 13

[Then subtraction]

= 3 (Ans)

8 0

2 years ago

HELP PLEASE! Will give out brainliest

charle [14.2K]

Answer:

i would say b but not sure

Step-by-step explanation:

hope this helps let me know if i got it wrong

4 0

3 years ago

How is the definition of property similar in science and math

sdas [7]

Answer:

Properties in math are used as general rules to solve problems.

I hope this helped!

Step-by-step explanation:

6 0

2 years ago