Find the derivative of the vector function r(t)=ta×(b+tc), where a=⟨2,−3,4⟩, b=⟨−4,5,−1⟩, and c=⟨−2,−1,5⟩.

Let RS be denoted as y.

Given that T is the midpoint of RS, this results in RT = TS =

And W acting as the midpoint of RT, leads to

thus RW = WT =

Given that Z is the midpoint of WS.

Meaning WZ = ZS =

Consequently, TZ = TS - ZS =

However, TZ is defined as x.

Thus,

y = 8x = RS.

A) Length of RW =

B) Length of WZ =

C) Length of RS = y = 8x

D) Length of ZS = WZ = 3x.

An image is provided for clarification.

Answer:

B. The triangle.

Step-by-step explanation:

The number of sides decreases by one as you progress down the list.

Answer:

7 years

Step-by-step explanation:

Since a graph isn’t provided, I will indicate how many years are involved, and you should be able to deduce it from this. First, let’s [use a calculator] to find 2% of 250, which equals 5. Adding 5 to the total only slightly impacts 2% of the original amount, changing it by 0.1 or 5/50. We can continue adding 5 until we exceed 282, which occurs after 7 increments, calculated as (285 minus 250) divided by 5. Thus, the answer is indeed 7 years. A quick calculation will confirm this.

Respuesta:

0.0143 = 1.43% de probabilidad de que los primeros 4 dígitos del código sean números pares.

Explicación paso a paso:

Arreglos de elementos n:

El número de arreglos posibles de n elementos se determina por:

Probabilidad:

La probabilidad se calcula dividiendo el número de resultados deseados por el número total de resultados.

En esta pregunta:

Resultados deseados:

Los primeros cuatro dígitos son pares (2, 4, 6 y 8 son pares, así que se consideran 4 elementos).

Los últimos cuatro dígitos son impares (1, 3, 5 y 7 son impares, por lo que los últimos cuatro elementos son también arreglos de 4 elementos). Entonces

Resultados totales:

Arreglos de 8 dígitos. Así que

Probabilidad:

0.0143 = 1.43% de probabilidad de que los primeros 4 dígitos del código sean números pares.