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ExtremeBDS [4]
3 years ago
11

The product of two rational numbers:

Mathematics
1 answer:
Alexus [3.1K]3 years ago
8 0

Answer: So, multiplying two rationals is the same as multiplying two such fractions,  will result in another fraction of this same form since integers are closed under multiplication. , multiplying two rational numbers produces gets another rational number.

Step-by-step explanation:

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Find y’ for y=7sec^3x
laiz [17]
Taking the derivative of 7 times secant of x^3:
We take out 7 as a constant focus on secant (x^3)
To take the derivative, we use the chain rule, taking the derivative of the inside, bringing it out, and then the derivative of the original function. For example:
The derivative of x^3 is 3x^2, and the derivative of secant is tan(x) and sec(x).
Knowing this: secant (x^3) becomes tan(x^3) * sec(x^3) * 3x^2. We transform tan(x^3) into sin(x^3)/cos(x^3) since tan(x) = sin(x)/cos(x). Then secant(x^3) becomes 1/cos(x^3) since the secant is the reciprocal of the cosine.

We then multiply everything together to simplify:

sin(x^3) * 3x^2/ cos(x^3) * cos(x^3) becomes

3x^2 * sin(x^3)/(cos(x^3))^2

and multiplying the constant 7 from the beginning:

7 * 3x^2 = 21x^2, so...

our derivative is 21x^2 * sin(x^3)/(cos(x^3))^2


6 0
3 years ago
Please help me I need help
Luba_88 [7]

Answer:

|28 - x| = 0  \\ 28 - x = 0 \\  - x =  - 28 \\ x = 28

3 0
3 years ago
Read 2 more answers
Find the modulus and the unit vector along the sum of the vectors. - r₁ +r₂ +r3 given that r₁ = 2i+j+4k - r₂ = 3i-2j+7k, r3 = 5i
bazaltina [42]

j+8k

first -2i+j+4k-3i-2j+7k+5i+2j-3k

8 0
1 year ago
What's the slope-intercept form that passes through the points (0, -1) and (1, 5)?
Rzqust [24]

Answer:

<h2>         y = 6x - 1</h2>

Step-by-step explanation:

\bold{slope\, (m)=\dfrac{change\ in\ Y}{change\ in\ X}=\dfrac{y_2-y_1}{x_2-x_1}}

(0, -1)    ⇒     x₁ = 0,  y₁ = -1

(1, 5)     ⇒     x₂ = 1,  y₂ = 5

So the slope:

                     \bold{m=\dfrac{5+1}{1-0}=\dfrac{6}{1}=6}

The slope-intercept form of the equation of line is y = mx + b, where m is the slope and b is the y-intercept of the line.

(0, -1)    ⇒     x₀ = 0,  y₀ = -1      ⇒   b = -1

Therefore:

                 y = 6x - 1          ←  the slope-intercept form of the equation

5 0
3 years ago
Find the measure of AEC and BED
Kazeer [188]

Answer:

30°

Step-by-step explanation:

well AEB is a straight line which is 180° and we were already given the angles that made up the straight line ,so all u had to do was subtract 60° from 90°

BED =30°

3 0
3 years ago
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