Convert the following equation to Cartesian coordinates. Describe the resulting curve. r= - 8 cos 0-6...
Convert the following equation to Cartesian coordinates. Describe the resulting curve. 2 cos0-6 sin 0 r Write the Cartesian equation. Convert the following equation to Cartesian coordinates. Describe the resulting curve. 2 cos0-6 sin 0 r Write the Cartesian equation.
10.2.36 Convert the following equation to Cartesian coordinates. Describe the resulting curve. 8 r= 4 cos 0 + 7 sin 0 Write the Cartesian equation.
Find an equation for the line tangent to the curve at the point defined by the given value of t. Also, find the value of at this point x=16 cost, y = 4 sint,t= The equation represents the line tangent to the curve at t= (Type an exact answer, using radicals as needed.) d²y The value of dx2 (Type an exact answer, using radicals as needed.) att =
d²y Find an equation for the line tangent to the curve at the point defined by the given value of t. Also, find the value of at this point dx x= 16 cost. y = 4 sint, t = 7 л 2 The equation represents the line tangent to the curve att (Type an exact answer, using radicals as needed.) dy The value of att is dx? (Type an exact answer, using radicals as needed.) 70 4
Replace the Cartesian equation y = 19 with an equivalent polar equation Question 1 The equivalent polar equation is (Type an equation using rando as the variables. Type an exact answer, using t as needed.) Graph the curves r= 2 + 4 cos 0 and r= 2 + 4 sin 0. Question 2 Identify the correct sketch of r= 2 + 4 cos 0. OA. OB. O c. OD -8 pi -8 Identify the correct sketch of r= 2 +...
X) 13.4.21 Find an equation for the circle of curvature of the curve r(t)-21 + sin(t) j at the point (z,1). (The curve parameterizes the graph of y = sin | 2x | in the xy-plane.) An equation for the circle of curvature is (Type an equation. Type an exact answer, using π as needed.) X) 13.4.21 Find an equation for the circle of curvature of the curve r(t)-21 + sin(t) j at the point (z,1). (The curve parameterizes the...
(1 point) A curve with polar equation r = 27 8 sin 0 + 49 cos 0 represents a line. This line has a Cartesian equation of the form y = mx +b ,where m and b are constants. Give the formula for y in terms of x. For example, if the line had equation y = 2x + 3 then the answer would be 2 *x+3. Hint: multiply both sides by the denominator on the right hand side and...
Use polar coordinates to find the centroid of the following constant-density plane region The region bounded by the cardioid r4+4cos0. Set up the double integral that gives the mass of the region using polar coordinates. Use increasing limits of integration. Assume a density of 1 dr d0 (Type exact answers.) Set up the double integral that gives My the plate's first moment about the y-axis using polar coordinates. Use increasing limits of integration. Assume a density of M,-J J O...
(1 point) A curve with polar equation r = 5 sin 0 + 36 cos 0 represents a line. This line has a Cartesian equation of the form y = mx + b ,where m and b are constants. Give the formula for y in terms of x. For example, if the line had equation y = 2x + 3 then the answer would be 2 * x + 3.
Graph the polar equation r=6 sin 30 OD Convert the Cartesian equation to a polar equation that expresses r in terms of e. (x + 3)² + y² = 9 = (Type an expression in terms of 0.)