Evaluate C y sin z ds, where C is the circular helix given by the equations

Question:

Evaluate ∫_Cy sin z ds, where C is the circular helix given by the equations x = cos t, y = sin t, z = t, 0 ≤ t ≤ 2π. (See Figure 9.)

Figure 9

2 6 4 2 0 11 0 C x

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

Calculus

ISBN: 9780495011606

6th Edition

Authors: James Stewart

See More Books

Question Posted: Nov 09, 2023 04:52 AM

See More Questions

Estimate the intervals where the graph of f is concave upward and where the graph is concave downward. Use interval notation. t 2 9
Find the curvature K of the plane curve at the given value of the parameter. r(t) = ti + j, t = 2 1 9
find one example from the news media that you can link --either videos, podcasts, articles, reports, television broadcasts, etc.--that exhibit what you take to be a valid and sound deductive argument.
A portfolio manager owns a bond worth 2,000,000 that will mature in one year. The pound is currently worth $1.65, and the one-year future price is $1.61. If the value of the pound were to fall, the...
The New Rochelle Humane Society made a contract with the city of New Rochelle to capture and impound all dogs running at large. Spiegler, a minor, was bitten by some dogs while in her schoolyard. She...
Determine whether the polynomials below can be the denominator of a causal stable filter: (a) $z^{5}+2 z^{4}+z^{3}+2 z^{2}+z+0.5$ (b) $z^{6}-z^{5}+z^{4}+2 z^{3}+z^{2}+z+0.25$ (c) \(z^{4}+0.5...
This case deals with several issues regarding contract formation under the UCC. Logan and Kanawha Coal agreed to purchase coal from Detherage via a fax dated March 9, 2010. The fax stated that it had...
a. Analyze the effects of each of the following transactions on each of the funds and/or the nonfund accounts of the City of Nancy. Identify the fund that typically would be used to record the...
= 5. Find the path delay D of the logic chain shown below. Assume Cout 15C, and the numbers on the gate indicates the input capacitance Cin- In 5C 5C (2-points) 3C 4C 5C 4C Out Cout
Evaluate S F ds, where F(x, y, z) = yi + x j + zk and S is the boundary of the solid region E enclosed by the paraboloid z = 1 x 2 y 2 and the plane z = 0.
If F(x, y) = (yi + xj)/(x 2 + y 2 ), show that C F dr = 2 for every positively oriented simple closed path that encloses the origin.
What are the three sources of underwriting risk in the P&C industry?
Show that each of the following sets are linearly dependent by finding a nontrivial linear combination that equals the zero vector. (a) (1,0), (2.0), (0.1) (b) (1,2,3), (4,0,-1), (-5, 6, 11). For...
A) What is magnitude______N B) Direction? +x-direction or -x-direction C) Is this force attractive or repulsive? The dipole moment of the water molecule (HO) is 6.17 x 10-30 C. m. Consider a water...
15. Explain the concept of a "minimum wage" and how it can cause unemployment.
1. Explain how the 3 following monetary tools can be used in controlling economic recession: a) Open market operation b) Required reserve ratio c) Discount rate
3. Explain how the following factors will influence the slope of the IS curve? a) Value of MPC b) Value of e (parameter that measures the sensitivity of investment to interest rate).
List at least four characteristics of a well- designed service system.
The bookkeeper for Riley, Inc., made the following errors: a. A cash purchase of supplies of $357 was recorded as a debit to Supplies for $375 and a credit to Cash of $375. b. A cash sale of $3,154...
Consider the solid (Figure 8) in the first octant cut off from the square cylinder with sides x = 0, x = 1, z = 0, and z = 1 by the plane 2x + y + 2z = 6. Find its volume in three ways. (a) Hard way:...
Assuming that the density of the solid of Figure 8 is a constant k, find the moment of inertia of the solid with respect to the y-axis. Zr+y+2z = 6
If the temperature at (x, y, z) is T(x, y, z) = 30 - z degrees, find the average temperature of the solid of Figure 8. Zr+y+2z = 6
How does the Ben & Jerry's company benefit from their CSR (corporate social responsibility) programs ? Which of the predicted trends in corporate social responsibility identified by Navex Global in...
Consider two mutually exclusive projects A and B: Cash Flows (dollars) Project A Co -36,500 B -56,500 G G NPV at 11% 26,200 26,200 +$ 8,368 39,500 39,500 +11,145 a. Calculate IRRs for A and B. Note:...
A corporate treasurer is looking to invest about $ 4 million for 6 0 days. Commercial paper rates are a 3 . 6 5 percent discount and CD rates are 3 . 6 6 percent. Comparing the bond equivalent yields...

Evaluate C y sin z ds, where C is the circular helix given by the equations

Question:

2 6 4 2 у 0 11 0 C x

Step by Step Answer:

Formula 9 gives Formula 9 2 ...View the full answer

Calculus

Students also viewed these Mathematics questions