3/4 times (-1/3) ?????

Mathematics

2 answers:

DIA [1.3K]2 years ago

4 0

Answer:

Step by step explanation:

$\frac{3}{4} \times ( \frac{ - 1}{3} )$

Multiplying a positive and negative equals a negative:

$( + ) \times ( - ) = ( - )$

$- \frac{3}{4} \times \frac{1}{3}$

Reduce the number with the greatest common factor 3

$- \frac{1}{4}$

Hope this helps...

Good luck on your assignment...

Snowcat [4.5K]2 years ago

3 0

Answer:

-1/4

Step-by-step explanation:

You multiply the numerators, 3 multiplied by -1=-3.

Then the denominators, 4 multiplied by 3=12.

This means the answer is -3/12, but then you can simplify it to -1/4.

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Find the length of the following two-dimensional curve. r (t ) = (1/2 t^2, 1/3(2t+1)^3/2) for 0 < t < 16

andrezito [222]

Answer:

r = 144 units

Step-by-step explanation:

The given curve corresponds to a parametric function in which the Cartesian coordinates are written in terms of a parameter "t". In that sense, any change in x can also change in y owing to this direct relationship with "t". To find the length of the curve is useful the following expression;

$r(t)=\int\limits^a_b ({r`)^2 \, dt =\int\limits^b_a \sqrt{((\frac{dx}{dt} )^2 +\frac{dy}{dt} )^2)} dt$

In agreement with the given data from the exercise, the length of the curve is found in between two points, namely 0 < t < 16. In that case a=0 and b=16. The concept of the integral involves the sum of different areas at between the interval points, although this technique is powerful, it would be more convenient to use the integral notation written above.

Substituting the terms of the equation and the derivative of r´, as follows,

$r(t)= \int\limits^b_a \sqrt{((\frac{d((1/2)t^2)}{dt} )^2 +\frac{d((1/3)(2t+1)^{3/2})}{dt} )^2)} dt$