Write these in rectangular form in x, y:
we have
and
put t = (x+1)1/2,
Write these in rectangular form in x, y: r(t) = t -1, y(t) = 3+ +...
help me with this problem 1. Determine the corresponding rectangular equation: a. x=t?, y=t-1 b. x= 9coso , y = 5sino 2. Determine all horizontal, vertical, tangent lines if any: x= tsint + cost, y = sint – tcost 3. Find the area of the region common of Interior of r = 2 – V3sing and r= –2 + V3sino 4. Find the arc length enclosed by r = 2(1 + cose), and r = 2 5. Find the slope...
Convert the parametric equations x = t2 + 1, y = 1 - t to rectangular form.
4. Find a rectangular equation for the plane curve defined by the parametric equations x=3sin()y = 3 cos(1) (a) y = x-3 (C) y = 7-9 (b) x + y = 9 (d) x+y = 3 5. Write the equation r = 4 cos in rectangular form. (a) x + y - 4y (b) x² + y = 4x (C) (x + y) = 4x (d) (x+y)* = 4y 6. Write [2(cos 15° + i sin 15°)] in rectangular form....
Problem 1: Let y()- r(t+2)-r(t+1)+r(t)-r(t-1)-u(t-1)-r(t-2)+r(t-3), where r(t) is the ramp function. a) plot y(t) b) plot y'() c) Plot y(2t-3) d) calculate the energy of y(t) note: r(t) = t for t 0 and 0 for t < 0 Problem 2: Let x(t)s u(t)-u(t-2) and y(t) = t[u(t)-u(t-1)] a) b) plot x(t) and y(t) evaluate graphically and plot z(t) = x(t) * y(t) Problem 3: An LTI system has the impulse response h(t) = 5e-tu(t)-16e-2tu(t) + 13e-3t u(t) The input...
1) Given parametric equations x(t) = 2 + t and y(t) = 2-1, determine the rectangular form by eliminating the parameter. I Determine the equation of the given graph of the ellipse: (-2,8) (-2,5+15) (-4,5) (0,5) (-2,5) (-2,5-15) (-2, 2) +X
Write the time domain function r(t) of the graph below as the sum of two rectangular pulse functions, then compute the fourier transform X(w) in terms of sinc function. (Reminder: A rectangular pulse centered 50,427 at the origin with width 27 is defined as II(t) = 11, -T<t<+T and it has the fourier transform II(t) sincwr)) 1 0 Amplitude -1 -2 0 2 3 8 9 10 11 5 6 7 Time-
(1 point) For a plane curve r(t) = (x(t), y(t)), k(t) = (x' (t)y' (t) – x"(t)y' (t)) (x' (t)2 + y' (t)2)312 Use this equation to compute the curvature at the given point. r(t) = (-4,4),= 3. K(3) =
b) r = 4 sin 8. 7. Convert each of the following equations from rectangular form to polar form. Solve for r. a) X = 3 b) x2 + (y + 2)2 = 4.
The letters rand represent polar coordinates. Write the following equation using rectangular coordinates (x,y). 2 = 14 cos e NICO The equation using rectangular coordinates (x,y) is (x² + y2) 14x =0. r2 = 14cos R(+² ) = K (14 cos ) R² = 14R Coso (R2) 3/4 = 14 Rcoso (x² + y2 %=148 -14 -14 (x² + y2 3%2_14=0 mistake? Did I make a Thank you
4. (20 points) Write the double integral JJR f(a, y) dA in rectangular co (a) R is the triangle (1, 2), (5, 2), (3, o) (b) R is the quadrilateral (3, 1), (7, 7), (3, 4), (7,0)