Question: If r(t) = sin 3t i - cos 3t j, find Dt[r(t) r' (t)].

If r(t) = sin 3t i - cos 3t j, find Dt[r(t) ∙ r' (t)].

Step by Step Solution

★★★★★

3.47 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

rt 3cos3ti... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

955-M-C-D-E (3005).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Q:

Find Dt r(t) and Dt2 r(t) for each of the following: a. r(t) = (3t + 4)3i + et2j + k b. r(t) = sin2t i + cos 3t j + t2k

Q:

Graph the curves described by the following functions. Use analysis to anticipate the shape of the curve before using a graphing utility. r(t) = cos t sin 3t i + sin t sin 3t j + t k, for 0 t 9

Q:

(a) Graph the curve r(t) = (sin 3t, sin 2t, sin 3t). At how many points on the curve does it appear that the curvature has a local or absolute maximum? (b) Use a CAS to find and graph the curvature...

Q:

Please answer 10, 16, 19, 22, 37, 38 please!! 5.3 Linear Nonhomogeneous Equations 443 SECTION 5.3 EXERCISES Review Questions 1. Explain how to find the general solution of the nonhomogeneous 24. y' +...

Q:

question 11-22 744 Chapter 11 Analytic Geometry In Exercises 11-16, convert the rectangular coordinates 48. a. Find a complete graph of r = 1 - 3 sin 26 b. Predict what the graph of r = 1 3 sin 30 wi...

Q:

Given that the acceleration vector is a(t) = (-9 cos(-3t))i + (-9sin(-3t))j + (-t)k, the initial velocity is v(0) = i + k, and the initial position vector is r(0) = i + j + k, compute: A. The...

Q:

please explain them on papers with pen so i can understand For the given rectangular equation, write an equivalent polar equation. 56) 5x - 3y - 8 =0 A) r 8 5 cos 0 - 3 sin 0 B) 12 = 8 5 cos 0 - 3...

Q:

need answer to 202 208 210 212 with work ises, find the area of the described region 6 sin A 202 Above the pole 2 + sin 9 gne. Below the polar enclosed by r cos B 204 4 cos (34) of 7 3 cos (28) q...

Q:

QUESTION 4 a) By using convolution theorem, show that 1 (sin 3t 3t cos 3t). (s + 9)} 12 b) Using Laplace transform, solve the system of differential equations dr = 1, dt dy - 4r dt 2H(t 1), %3D...

Q:

T Find T N and x for the plane curve r t 7ti 7 In cos t j 2 T t cost i sint j Type exact answers using radicals as needed N t sin t i cost j Type exact answers using radicals as needed cos t k t 7...

Q:

Carlos Beltran started an engineering firm called Beltran Engineering. He began operations and completed seven transactions in May, which included his initial investment of $17,000 cash. After those...

Q:

Use the formula that relates the value of the call and the put (see Section 21.1) and the one-period binomial model to show that the option delta for a put option is equal to the option delta for a...

Q:

Requirements Compute the payback period, the ARR, the NPV , and the approximate IRR of this investment. ( If you use the tables to compute the IRR, answer with the closest interest rate shown in the...

Q:

Which of the following is the velocity of money? a. How quickly the average worker gets paid after his or her work is done. b. The average speed of ATM machines. c. The average number of times per...

Q:

Use Euler's method to estimate the temperature for the following case of Newton's law of cooling. Compare with the exact answer. = 0.02/min and A = 30C and H(0) = 40. Estimate H(1) and H(2) using t...

Q:

Use the solution for Newton's law of cooling (Exercises 39 and 40) to find the solution expressing the concentration of chemical inside a cell as a function of time in the following examples. Find...

Q:

Use the solution for Newton's law of cooling (Exercises 39 and 40) to find the solution expressing the concentration of chemical inside a cell as a function of time in the following examples. Find...

Q:

Discuss the I 2 C communication process along with the two I 2 C mbed ports.

Q:

Crosby Industries has a debt-equity ratio of 1.1. Its WACC is 13 percent, and its cost of debt is 4 percent. There is no corporate tax. Requirement 1: What is Crosby's cost of equity capital? (Do not...

Q:

In the 2004 presidential election, 18.3 million 25-34 year-olds reported that they voted. If this represents 46.9% of the entire 25-34 year-old population, how many 25-34 year-olds were there in 2004...