Compute the derivative for r(t) = (1,15,16). r(1) ) = (f(1), g(t), h(t)) dt (Use symbolic...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Compute the derivative for r(t) = (1,15,16). r(1) ) = (f(1), g(t), h(t)) dt (Use symbolic notation and fractions where needed.) f(1) = g(t) = h(t) = Find the location at t = 3 of a particle whose path satisfies 5 = - (101 - (+$12,21-4) dr dt r(0) = (6,13) (Use symbolic notation and fractions where needed. Give your answer in vector form.) r(3) = Find the solution with the given initial condition. r" (t) = (e, sin (), cos (t)), r(0) = (1,0,1), r'(0) = (0,5,5) (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) r(t) = Evaluate the integral. * (- sin (1), 61, 21 + cos (21) dt (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) 2x 1.2 (-sin (1), 61, 2t + cos (21)) dt = Calculate the velocity and acceleration vectors at the time t = 1. r(t) = (1,1-31, 51) (Give your answers using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) velocity: acceleration: Calculate the speed at the time t = 1. (Give an exact answer. Use symbolic notation and fractions where needed.) speed: Find r(t) and the velocity vector v(1) given the acceleration vector a(t) = (7e, 81, 20r + 8), the initial velocity v(0) = (1,0,1), and the position r(0) = (2, 1, 1). (Use symbolic notation and fractions where needed. Give your answer in the vector form.) v(t) = r(t) = Find a parametrization of the tangent line at the point indicated. r(t) = (61,41,21), 1=4 Identify the parametrization(s) of the tangent line at t = 4. (1)=(24, 64, 128) +1(6,32,96) L3 (1) = (128, 24,64)+1(9, 32,192) Ls(t) = (12,98, 195)+1(-6, -32,-96) L(t) = (36, 32, 320)+1(6,32,96) L4 (1) = (36, 128, 320)+1(12, 64, 192) Compute the derivative for r(t) = (1,15,16). r(1) ) = (f(1), g(t), h(t)) dt (Use symbolic notation and fractions where needed.) f(1) = g(t) = h(t) = Find the location at t = 3 of a particle whose path satisfies 5 = - (101 - (+$12,21-4) dr dt r(0) = (6,13) (Use symbolic notation and fractions where needed. Give your answer in vector form.) r(3) = Find the solution with the given initial condition. r" (t) = (e, sin (), cos (t)), r(0) = (1,0,1), r'(0) = (0,5,5) (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) r(t) = Evaluate the integral. * (- sin (1), 61, 21 + cos (21) dt (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) 2x 1.2 (-sin (1), 61, 2t + cos (21)) dt = Calculate the velocity and acceleration vectors at the time t = 1. r(t) = (1,1-31, 51) (Give your answers using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) velocity: acceleration: Calculate the speed at the time t = 1. (Give an exact answer. Use symbolic notation and fractions where needed.) speed: Find r(t) and the velocity vector v(1) given the acceleration vector a(t) = (7e, 81, 20r + 8), the initial velocity v(0) = (1,0,1), and the position r(0) = (2, 1, 1). (Use symbolic notation and fractions where needed. Give your answer in the vector form.) v(t) = r(t) = Find a parametrization of the tangent line at the point indicated. r(t) = (61,41,21), 1=4 Identify the parametrization(s) of the tangent line at t = 4. (1)=(24, 64, 128) +1(6,32,96) L3 (1) = (128, 24,64)+1(9, 32,192) Ls(t) = (12,98, 195)+1(-6, -32,-96) L(t) = (36, 32, 320)+1(6,32,96) L4 (1) = (36, 128, 320)+1(12, 64, 192)
Expert Answer:
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
A train is moving down a straight track at 29 ms. The engineer applies a braking acceleration of -1.2 m/s 2 . How far does the train moves during a 20 second time interval starting the instant the...
-
Prompt For this assignment, you will take on the role of a business manager who is in the planning phase of building a stakeholder summary report. You need an example from an organization in the same...
-
Lang Enterprises was started when it acquired $4,000 cash from creditors and $6,000 from owners. The company immediately purchased land that cost $9,000. Required a. Record the events under an...
-
Post a brief statement that summarizes the topic argument of capital punishment, the type of argument that is being used and the sources that you are using to support your claims.
-
a. Cyclotron resonance for a spheroidal energy surface. Consider the energy surface e(k) = h 2m, (k+ k k 2m where m, is the transverse mass parameter and m, is the longitudinal mass parame- ter. A...
-
Discuss what AIDS is and how it is contracted.
-
Hewitt Companys output for the current period yields a $30,000 favorable overhead volume variance and a $50,400 unfavorable overhead controllable variance. Standard overhead charged to production for...
-
The balance sheet for Carla Vista Co. is as follows: Carla Vista Co. Balance Sheet December 31, 2022 Cash $ 24,000 Accounts payable $ 3,800 Accounts receivable 22,700 Salaries and wages payable 2,800...
-
You own a flooring company that sells the following items. Product Premium Carpet Basic Carpet Luxury Vinyl Flooring Standard Vinyl Flooring Delivery Fee Installation Price $4.00 / square ft....
-
Crayola hires Crosscut to research an erasable Crayon. Its agreed the project will take 3 months and cost $300,000. On July 1 st Crosscut begins work and completes the project satisfactorily on Sept...
-
Mapping out your financial plan means forecasting your salary and then subtracting what you will need for life's essentials. A. True B. False
-
The US exported more than $67 billion in goods to Japan in 2017 and imported more than $136 billion from Japan at an exchange rate of $1 = 110 yen.Suppose that in 2018 the exchange rate changes and...
-
After six months of consecutive inflows, foreign institutional investors (FIIs) became net sellers of domestic equities in April.FIIs withdrew $1.29 billion in domestic securities in April, the...
-
Ed leaves work for four hours this afternoon and goes to a baseball game. Tickets to the game are $25 and parking at the stadium is $15. Ed earns $15 an hour at his job. What Ed's opportunity cost of...
-
A father has brought home two equal-sized doughnuts for his children Doug and Isabel. Doug says he loves doughnuts more than Isabel, who agrees, but says she likes them too. The father agrees with...
-
A is 4X2 matrix that is not shown here. B is the following matrix 26 37 48 59 The Q-factor in the QR-factorization of A is the same like the Q-factor in the QR-factorization of B (But the R-factors...
-
In Exercises 1-2, rewrite each verbal statement as an equation. Then decide whether the statement is true or false. Justify your answer. 1. The logarithm of the difference of two numbers is equal to...
-
Write the Lorentz transformation equations in matrix form?
-
Show that covariant differentiation obeys the usual product rule, e.g. (VW); = V ; W + VW ;.
-
Show that Eq. (4.58) can be used to prove Gauss' law, Eq. (4.57). In Eq. (4.58) In Eq. (4.57) rdy dz
-
Determine the probability mass function of \(X\) from the following cumulative distribution function: \[ F(x)=\left\{\begin{array}{lr} 0 & x. \] Figure 3.3 displays a plot of \(F(x)\). From the plot,...
-
Two new product designs are to be compared on the basis of revenue potential. Marketing believes that the revenue from design A can be predicted quite accurately to be \(\$ 3\) million. The revenue...
-
The probability that a wafer contains a large particle of contamination is 0.01. If it is assumed that the wafers are independent, what is the probability that exactly 125 wafers need to be analyzed...
Study smarter with the SolutionInn App