Select all of the following which are TRUE.| There is only one parametrization for each space curve 7(t) in Rº.OA vector function 7 (t) is continuous at t = a if and only if its component functions are continuousat t = a.For the vector function 7(t) = < sin(t), cos(t), t² > , t is called a parameter.OA vector function 7 (t) is continuous at t = a if each of its component functions is differentiable att = a.O For the function 7 (t) = < f(t), g(t), h(t) > , the vector r(t) can be drawn from the origin to thepoint (f(t), g(t), h(t)).

Here we have to select which of the following statements are TRUE.

Select all of the following which are TRUE. | There is only one parametrization for each space curve 7(t) in R³. OA vector function 7 (t) is continuous at t = a if and only if its component functions are continuous at t = a. For the vector function 7 (t) = < sin(t), cos(t), t? > , t is called a parameter. OA vector function 7 (t) is continuous at t = a if each of its component functions is differentiable at t = a. O For the function 7 (t) = < f(t), g(t), h(t) > , the vector r(t) can be drawn from the origin to the point (f(t), g(t), h(t)).

Select all of the following which are TRUE. | There is only one parametrization for each space curve 7(t) in R³. OA vector function 7 (t) is continuous at t = a if and only if its component functions are continuous at t = a. For the vector function 7 (t) = < sin(t), cos(t), t? > , t is called a parameter. OA vector function 7 (t) is continuous at t = a if each of its component functions is differentiable at t = a. O For the function 7 (t) = < f(t), g(t), h(t) > , the vector r(t) can be drawn from the origin to the point (f(t), g(t), h(t)).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

See similar textbooks

Related questions

Q: Use implicit differentiation to find dy dx In(xy) + 4x = 35 dy dx -4y II

A: Solve by implicit differentiation.

Q: Evaluate the definite integral

A: By using integration formula, we calculate the given definite integral.

Q: 139, 145 plz

A: we logarithmic properties

Q: A chemist has three different acid solutions. The first acid solution contains 15 % acid, the second...

A: The solution is given below:

Q: what is the particular solution to the differential equation dy/dx=xy^2 with the initial condition y...

Q: Make a sketch of the following vector field. F= (2y.x)

Q: 5. The region R in the first quadrant is enclosed by the lines x = 0 and y = 2 and the graph of y = ...

A: to find:- volume of solid of revolution.

Q: For the following function, graph the function (use an arrow to indicate it's orientation) and then ...

A: We have to sketch the function and find the area enclosed by one loop of the curve.

Q: SOLVE THE QUESTION OF PROBABILITY MENTIONED IN THE ATTACHED PICTURE.

A: GIven, Box contains six-disc numbered 1 to 6.

Q: please show steps

Q: Find the gradient field F = Vo of the potential function p(x,y,z) = (x? + 3y2 + 3z2) -172 Vw = O0D

A: We need to find first order partial derivative to find gradient

Q: SOLVE THE PROBABILITY QUESTION WITH CLEAR STEPS.

A: There will be two cases. 1) Both balls are red. 2) Both balls are white. Take E11 be the event of tr...

Q: Use Green's Theorem to evaluate the following line integral. Assume the curve is oriented counterclo...

Q: round to the nearest thousandths

Q: Find the area of the indicated region. We suggest you graph the curves to check whether one is above...

Q: Solve the logarithmic equation: 2 In(r- 12) – In(z+ 12) = 0 Section 4.6 Oz= 7.58 O x = 7.58, 17.42 O...

Q: Using the Integral Test, check the convergence of the following series by verifying the necessary co...

A: The given series is: ∑n=1∞ n4e5n

Q: I'm doing some true or false practice questions. Please simply explain the following questions I sub...

Q: Find the area of the region shared by r = 1 + cosθ and r = 1 - cosθ

Q: nd the ndcaed liml lim 15X +3

Q: Draw the following graph on the interval – 165° < x < 180°: - y = - 3 cos(x) -

Q: 2. Let F: R3 -→ R² satisfy for all (2,9.)e R that, F(x.y, 2) = (x,y,2) and let SCR be the disk of ra...

Q: n +9 converges or diverges. п! n=27 (a) Find the ratio of successive terms. Write your answer as a f...

Q: An object is projected upward from ground level with an initial velocity of 420 feet per second. In ...

Q: Evaluate the following integral by converting it into polar coordinates. |/ 2rydA, D is the portion ...

Q: Researchers recorded that a certain bacteria population declined from 290,000 to 300 in 24 hours. At...

A: Bacteria in 16 hours=?

Q: Please help on 5 and 6 thank you

Q: Assume the acceleration of the object is a(t) = -9.8 meters per second per second. (Neglect air resi...

A: If you like the solution then please give it a thumbs up... The Answer is: Velocity = 6...

Q: Find the indefinite integral. (Use C for the constant of integration.) dt t4 + 1

Q: Find the following limit. t? + lt – 12 lim t – 3 t-3 answer = <

Q: An object is thrown upward at a speed of 191 feet per second by a machine from a height of 12 feet o...

A: The function h(t) gives us the height, h, at a given time, t. So let h(t)=317. This gives: 317 = -...

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. F(x) = ...

A: By using part 1 of the fundamental theorem of calculus find the derivative of the function ∫x01+sec7...

Q: Please solve the recurrence relation (1) T(n) = T(3n/13) + T(5n/17) + n

Q: Find the relative extrema of f(x) = 2x4 - 4x2 + 3 Find the critical numbers of f(x). (select ALL cor...

Q: 67,73 plz

A: In this question we will use property of even and odd function

Q: Draw the following graph on the interval - 270° < x < 105°: y = sin(x – 90°H

A: y=sin(x-90°) , -270°<x<105°

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 4

Q: n n² 2" . Evaluate the the following limit. If it is infinite, type "infinity" or "inf". If it does ...

A: the objective is to evaluate the limit and tell about the series using the ratio test.

Q: Calculus Question

A: Looking at the values of head start needed, The maximum head start is required in the case of blac...

Q: The amount of water, A, in thousands of litres, available in a water tank located on a farm fluctuat...

A: t = time duration in weeksA(t) = amount of water in tank at time tT = Time period of the g...

Q: Find the indefinite integral using the formulas from the theorem regarding differentiation and integ...

A: We can solve this by using substitution method of differentiation and inverse hyperbolic function .

Q: For the following vector field, compute (a) the circulation on and (b) the outward flux across the b...

Q: 3) + 2x³y = y³x3 dau

Q: Rewrite, using a trigonometric identity: cos∅/sin∅ sec∅ cot∅ csc∅ ...

A: given:- rewrite all identity in the form of sine and cosine

Q: Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2?). (Enter your answe...

A: we half and double angle formulas

Q: A tree diagram has two stages. Stage 1 has two nodes and stage 2 has four nodes. In stage 1, the br...

Q: Transform the following function into rectangular. Write y as a function of x. x = In t,y = VE,t >1

A: Given, x=lnt , y=t , t≥1

Q: Solve for Precalculus 1, select one of the corresponding options below if necessary. Thank you for y...

A: cos(tan-1(4))

Q: A spherical balloon is inflated with an air over time. When the radius of the balloon reaches 2 cm t...

A: r= 2 cm drdt= 0.5 cm/min

Q: due toay please help

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Concept explainers

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.

Question

Select all of the following which are TRUE.
| There is only one parametrization for each space curve 7(t) in Rº.
OA vector function 7 (t) is continuous at t = a if and only if its component functions are continuous
at t = a.
For the vector function 7(t) = < sin(t), cos(t), t² > , t is called a parameter.
OA vector function 7 (t) is continuous at t = a if each of its component functions is differentiable at
t = a.
O For the function 7 (t) = < f(t), g(t), h(t) > , the vector r(t) can be drawn from the origin to the
point (f(t), g(t), h(t)).

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Trending now

This is a popular solution!

Step by step

Solved in 7 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Vector-valued Function$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.