Compute the outward flux of F(x, y, z) =
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Chapter 16 Solutions
Multivariable Calculus
- Find the scalar equation of the plane that passes through point P(-5, 2, 3) and is perpendicular to the line of intersection of planes x + y - z - 2 = 0 and 2x − y + 3z - 1 = 0. -2x + 5y + 3z + 29 = 0 Xarrow_forwardFind a vector function that represents the intersection of the hyperboloid z = x² - y² and the cylinder x² + y²=1.arrow_forwardFind the scalar equation for the plane passing through the point P=(−4, 2, 10) and containing the line L defined byx = −8+14ty = 6+4tz = 12arrow_forward
- Find the scalar equation for the plane passing through the points P₁=(0, −5, 3), P₂=(1, −7, −2), and P3-(-3,-4, 5). 0=0arrow_forward3. Find a vector function that represents the curve of intersection of the paraboloid z = r+y and the cylinder r+y = 16.arrow_forwardFind the vector equation that represents the curve of intersection of the paraboloid z = 4x² + y² and the surface x = e". Write the equation so that one of the functions is simply t. x(t) = y(t) = = z(t): =arrow_forward
- Q/Find the real values of a, b, c that make the convolution equal to zero for the vector function F(x, y, z) = (2az + y – 5x)i + (2x – z + 2cy)k + (y + 2bx + 3z)jarrow_forwardGive a scalar equation for a plane at distance 9 from the plane P with equation –2x+y-2z = 3. 0=0arrow_forwardFind a scalar equation of the plane that contains the linex = 1 + t, y = 2 − t, z = 4 − 3tand is parallel to the plane5x + 2y + z = 1.arrow_forward
- 5. Determine the scalar equation of the plane with x-intercept = 2, y-intercept = -1, and z-intercept = 3arrow_forward4. Determine the scalar equation of the plane that passes through (5, -5, 5) and is perpendicular to the line of intersection of the planes 3x + y – z = 0 and 4x – y + 2z – 7 = 0arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage