Funciones vectoriales

Funciones vectoriales

1st - 5th Grade

8 Qs

quiz-placeholder

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Funciones vectoriales

Funciones vectoriales

Assessment

Quiz

Mathematics

1st - 5th Grade

Practice Problem

Medium

Created by

Valentina Torres

Used 13+ times

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8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Una función vectorial es una regla de correspondencia que tiene por entrada un valor real y como salida un vector.

Verdadero

Falso

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Calcula la derivada de la siguiente función vectorial:

 r(t)=<5t2, t sen(t),4t>r\left(t\right)=<-5t^2,\ t\ sen\left(t\right),4t>  

 r(t)=<10t, sen(t)tcos(t),4>r\left(t\right)=<10t,\ sen\left(t\right)-t\cos\left(t\right),4>  

 r(t)=<10t, sen(t)+tcos(t),4>r'\left(t\right)=<-10t,\ sen\left(t\right)+t\cos\left(t\right),4>  

 r(t)=<10t2, cos(t),4>r\left(t\right)=<-10t^2,\ \cos\left(t\right),4>  

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Calcula la derivada de la siguiente función vectorial:

 r(t)=<e(4t),3t4>r\left(t\right)=<e^{\left(-4t\right)},3t^4>  

 r(t)=<4e(4t),12t3>r\left(t\right)=<-4e^{\left(-4t\right)},12t^3>  

 r(t)=<e(4t),12t3>r\left(t\right)=<e^{\left(-4t\right)},12t^3>  

 r(t)=<4e(4t),3t4>r\left(t\right)=<4e^{\left(-4t\right)},3t^4>  

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Calcula la integral de la siguiente función vectorial:

 r(t)=(6i+3t5j+cos(t)k)dtr\left(t\right)=\left(\int_{ }^{ }6i+3t^5j+\cos\left(t\right)k\right)dt  

 R(t)=6ti+3t5cos(t)k+CR\left(t\right)=6ti+3t^5-\cos\left(t\right)k+C  

 R(t)=6i+36t6sen(t)k+CR\left(t\right)=6i+\frac{3}{6}t^6-sen\left(t\right)k+C  

 R(t)=6ti+36t6+sen(t)k+CR\left(t\right)=6ti+\frac{3}{6}t^6+sen\left(t\right)k+C  

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Calcula la integral:

 r(t)=(e2ti5t4)dtr\left(t\right)=\int_{ }^{ }\left(e^{2t}i-5t^4\right)dt  

 e2tit5j+Ce^{2t}i-t^5j+C  

 12e2tit5j+C\frac{1}{2}e^{2t}i-t^5j+C  

 12e2ti20t4j+C\frac{1}{2}e^{2t}i-20t^4j+C  

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Calcula la derivada de:

 r(t)=e(3t2)i4t3j+5kr\left(t\right)=e^{\left(-3t^2\right)}i-4t^3j+5k  

 r(t)=6t e(3t2)i12t2jr'\left(t\right)=-6t\ e^{\left(-3t^2\right)}i-12t^2j  

 r(t)=e(3t2)i12t2jr'\left(t\right)=e^{\left(-3t^2\right)}i-12t^2j  

 r(t)=e(3t2)i12t2j+5kr\left(t\right)=e^{\left(-3t^2\right)}i-12t^2j+5k  

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

La velocidad de una partícula esta dada por:

 v(t)=5ti+etj+3t5kv\left(t\right)=5ti+e^tj+3t^5k  
Calcula la aceleración

 v(t)=5i+etj+15t5kv\left(t\right)=5i+e^tj+15t^5k  

 v(t)=5i+tetj+15t4kv\left(t\right)=5i+te^tj+15t^4k  

 a(t)=5i+etj+15t4ka\left(t\right)=5i+e^tj+15t^4k  

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