2. Use a parametric quadratic curve to approximate the intersection curve of the following two surfaces....
4) Find the vector function that represents the curve of intersection for the following surfaces (assume y > 0): 202 + z2 = 9 and x2 + y2 + 4z2 = 25
(1 point) A parametric curve r(t) crosses itself if there exist t s such that r(t)-r(s). The angle of intersection is the (acute) angle between the tangent vectors r() and r'(s). The parametric curver (2 -2t 3,3 cos(at), t3 - 121) crosses itself at one and only one point. The point is (r, y, z)-5 3 16 Let 0 be the acute angle between the two tangent lines to the curve at the crossing point. Then cos(0.997 (1 point) A...
4) Find the vector function that represents the curve of intersection for the following surfaces (assume y > 0): x2 + z2 = 9 and x2 + y2 + 4z2 = 25
Find a vector func The cone ction, r), that represents the curve of intersection of the two surfaces. z-r +y2 and the plane z 8 +y a. r()-i+ (0.03125t-8)j+ (0.03125t +8)k b. r(t)-i+ (0.0625t +16)j+ (0.0625t2 +16)k c. r r) i (0.0625t-16)j+(0.0625t2 +16)k d. r()-i+ (0.0625t-16)j+ (0.0625f2 +16)k Find a vector func The cone ction, r), that represents the curve of intersection of the two surfaces. z-r +y2 and the plane z 8 +y a. r()-i+ (0.03125t-8)j+ (0.03125t +8)k b....
Consider the following. z = x2 + y2, z = 36 − y, (6, -1, 37) (a) Find symmetric equations of the tangent line to the curve of intersection of the surfaces at the given point. x − 6 12 = y + 1 −2 = z − 37 −1 x − 6 1 = y + 1 12 = z − 37 −12 x − 6 = y + 1 = z − 37 x − 6 12 =...
need help Find the length of the curve defined by the parametric equations y3In(t/4)2-1) from t 5 tot- 7 Find the length of parametized curve given by a(t) -0t3 -3t2 + 6t, y(t)1t3 +3t2+ 0t, where t goes from zero to one. Hint: The speed is a quadratic polynomial with integer coefficients. A curve with polar equation 14 7sin θ + 50 cos θ represents a line. Write this line in the given Cartesian form Note: Your answer should be...
Question 3 3 pts Find a vector function, r(t), that represents the curve of intersection of the two surfaces. The cone z = V x2 + y2 and the plane z =6+y 12 1 12 a. r= 1 (61,42 – 36,42 +36) b. 1) = 1 (12t,t2 + 36,42 +36) +(12t,– 12,42 +12) ${12t,t2 – 36,2 +36) P(8) = 1 / 2 C. d. (6) 2 1
Use the give table below to answer the following questions. sName Smith sCity SI S2 PI P2 P3 P4 PS Nut Bolt Red Blue 12 17 17 10 Blake Paris Screw Red S4. S5 30 Athens Blue 12 SP SNo (PK) (FK S1 S1 S1 S1 S1 S2 S2 S3 S3 S3 S4 P1 P2 P3 P4 PS PI P2 Pl P2 P3 P2 P3 P4 200 100 100 200 200 200 S5 Table: Content of the Supplier-Parts DB Tables...
help with 9 please 9. Consider the two substitution reactions shown below Select the product(s) that will be produced in each reaction from the list provided below (P1-P8). If more than one product is formed indicate their approximate ratios. Y CHOH OY HONE DUSO reaction bowent a tion 2 a) reaction 1: PL + P2 in 1:1 ratio: reaction 2: P1 only b) reaction 1: P5 only, reaction 2: P7 only c) reaction 1: P1 only: reaction 2: P7 P8...
Give parametric equations that describe a full circle of radius R, centered at the origin with clockwise orientation, where the parameter t varies over the interval [0,22]. Assume that the circle starts at the point (R,0) along the x-axis. Consider the following parametric equations, x=−t+7, y=−3t−3; minus−5less than or equals≤tless than or equals≤5. Complete parts (a) through (d) below. Consider the following parametric equation. a.Eliminate the parameter to obtain an equation in x and y. b.Describe the curve and indicate...