¿Cuál es la derivada de una función vectorial en 2D?
Quiz de Cálculo Vectorial 2a

Quiz
•
Specialty
•
12th Grade
•
Medium
ALMA CAMPA
Used 2+ times
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
r'(t) = f'(t)i + g'(t)j
r'(t) = f(t)i + g(t)j
r'(t) = f''(t)i + g''(t)j
r''(t) = f´´(t) + g´´(t)
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
¿Cómo se obtiene la segunda derivada de una función vectorial r(t)?
Integrando las componentes f(t), g(t), h(t)
Derivando sucesivamente las componentes f(t), g(t), h(t)
Derivando las componentes f(t), g(t), h(t) y dividiendo entre r(t)
Derivando las componentes f(t), g(t) y h(t) y multiplicando por r(t)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
¿Cuál es la forma de la tercera derivada de r(t) en 3D?
r'''(t) = f'''(t)i + g'''(t)j + h'''(t)k
r'''(t) = f(t)i + g(t)j + h(t)k
r'''(t) = f'''(t)i + g'''(t)j
r'''(t) = f'(t)i + g'(t)j + h'(t)k
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
¿Qué propiedad se aplica al derivar el producto escalar de dos funciones vectoriales r(t) y s(t)?
d[r(t)·s(t)]/dt = r(t)·s'(t) + s(t)·r'(t)
d[r(t)·s(t)]/dt = r(t)·s'(t)-s(t)·r'(t)
d[r(t)·s(t)]/dt = r'(t)·s'(t)
d[r(t)·s(t)]/dt = r'(t)xs'(t)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
¿Cuál es la integral indefinida de r(t) en 2D?
∫r(t)dt = f(t) + g(t)+C
∫r(t)dt = ∫f(t)i + ∫g(t)j + C
∫r(t)dt =∫[f(t) + g(t)]ij+C
∫r(t)dt = ∫f(t)dt i + ∫g(t)dt j+ C1+C2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
¿Qué representa la constante C en la integral indefinida de una función vectorial?
La suma de las derivadas de las funciones
El valor de la función en un punto específico
El límite de la función en un intervalo
Un vector constante que contiene las constantes de cada antiderivada
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
¿Cuál es la regla de la cadena para derivar una función vectorial r(h(t))?
d(r(h(t)))/dt = r'(h(t))
d(r(h(t)))/dt = h'(t)r'(h(t))
d(r(h(t)))/dt = h(t)r'(t)
d(r(h(t)))/dt = r(h(t))
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