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Mathematics

2 answers:

Ivenika [448]3 years ago

8 0

What’s your question?

balandron [24]3 years ago

3 0

Answer:

I am confused about what you are saying

You might be interested in

If one acute angle of a right triangle measure 37 what's the measure of the other acute angle

Ghella [55]

53°

Step-by-step:

- All angles in a triangle add up to 180°.

- Since your triangle is a right angle triangle, one of the angles are 90°.

- You already know another one, 37°.

- All you have to do to find the last one is to subtract the two you already know from 180.

180 - (90+37)

= 180 - 127

= 53

The measure of the last angle is 53°.

5 0

3 years ago

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,

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