determine where the given vector-valued functions are continuous. V(1) = (Vi-I ,,1 ). V(t): t-1

Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

A: r ( t ) = 14t + 1i + 1tj

Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

A:

Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

A: A vector valued function of the form r(t)= f(t)i + g(t)j is continuous at the intersection of points…

Q: Find r(t) ∙ u(t). Is the result a vector-valued function? Explain.…

A: Given:r(t)→=(3t-1)i^+t34j^+4k^u(t)→=t2i^-8j^+t3k^To determine:r(t) →. u(t)→

Q: (b) part of parabola y = −2x² from (−1, −2) to (2, —–8)

A: Given Equation of parabola y=-2x2 from -1, -2 to 2, -8.

Q: Surfaces z = x² + 2y², x + y = 0 X Parameter x = 5t

A:

Vector Arithmetic

Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magnitude means the length or the size of an object. The notation used is the arrow over the head of the vector indicating its direction.

Vector Calculus

Vector calculus is an important branch of mathematics and it relates two important branches of mathematics namely vector and calculus.