Lateral Surface Area In Exercises 65-72, find the area of the lateral surface (see figure) over the curve C in the xy-plane and under the surface
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Chapter 15 Solutions
Multivariable Calculus (looseleaf)
- Plz complete solution with 100%accuracy I vill upvote if corrected otherwise downvotearrow_forwardshow full and complete procedure HANDWRITTEN onlyarrow_forwardFind a general expression for a nonzero vector orthogonal to the plane conta r(t)= (a cos t+ b sin t)i+(c cos t+dsin t)j+(e cost+fsin t)k Choose the correct answer below. O A. (b.d.) OB. (a cos t+b sin t,c cos t+d sin t,e cos t+f sin t) O C. (a.c.e) O D. (a+b,c+ d,e + f) DE. (cf-de be- af ad- bc)arrow_forward
- Don't use chat gpt It Chatgpt means downvotearrow_forwardPlz answer this question correctly used parametric equation (vector integral)arrow_forwardFind the space curve represented by the intersection of the surfaces. Then represent the curve by a vector-valued function using the given parameter (Use technology to sketch) x2 + y? + z? = 10, x + y = 4 x = 2 + sin (t)arrow_forward
- Evaluate the circulation of G = xyi+zj+7yk around a square of side 9, centered at the origin, lying in the yz-plane, and oriented counterclockwise when viewed from the positive x-axis. Circulation = Prevs So F.dr-arrow_forwardHuarrow_forwardFind both parametric and rectangular representations for the plane tangent to r(u,v)=u2i+ucos(v)j+usin(v)kr(u,v)=u2i+ucos(v)j+usin(v)k at the point P(4,−2,0)P(4,−2,0).One possible parametric representation has the form⟨4−4u⟨4−4u , , 4v⟩4v⟩(Note that parametric representations are not unique. If your first and third components look different than the ones presented here, you will need to adjust your parameters so that they do match, and then the other components should match the ones expected here as well.)The equation for this plane in rectangular coordinates has the form x+x+ y+y+ z+z+ =0arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage