A. Find the length of the latus rectum of 4y = x2 + 4x + 8.
B. Find the radius of the circle with equation 4x2 + 4y2 - 17x + 17y = 19
Problem 1: Given the following function - 4x 4.x2 + 4y2 + 4y +1 1- 4x2 – 4x2 + 4y2 + 4y +1 (a) Show that f is analytic (on its domain of definition); (b) Find a formula for f in terms of variable z (c) Find f'(z).
Find the arc length of the curve on the given interval. x = x2 +8, y = 4x2 + 6, -15:30 432 216 0* (19/6-1 216 o cookies
) Find the center and radius of the circle with equation x2 + 6x + y2 - 4y = 12. a) o center is (-3, 2) and radius is 5 b) o center is (3, -2) and radius is 5 c) center is (3, -2) and radius is 2/3 center is (-3, 2) and radius is 2/3 4) The equation of the parabola with focus (-3, 2) and vertex at (-3, 0) is (x +3) = - 8(y 2) a)...
What are]he center and radius of the circle whose equation is x2 + y2 + 4x = 5? 1 (2,0) and 1 2 (-2,0) and 1 3. (2,0) and 3 4. (-2,0) and 3
0 3.2.69) Find the x-intercepts and y-intercepts of the circle x2 + y2-4x- 6y +4 3.4.25) Find the domain of f (x)9x 3.6.1) Find the equation of any parabola that has vertex V(-3, 1) x+1
#4 Complete the squares. a) x2 + 4x - y - 12 = 0 for x b) 2x + y2 - 6y = 1 for y #5 Solve the system of equations sx - y = 11 a) 12x + y = 19 1-3x - 2y = 1 b) 16x + 4y = -2
(9) Find the equation of any vertical asymptote: (a) f(x) x2 + 5x x2 + 4x (b) f(x) X-5 x2 – 25 (10) Write a brief description of the relationship between the graph of f(x) = x2 and g(x) = - (x-4)2 +3
A curve is defined by the equation 4x* +8x*y? – 25x*y+4y* =0. Find the equation of the line tangent to this curve at the point (2, 1). Clearly show your process. Confirm your answer using Desmos and attach this graph (or at least a sketch) to your submission.
3. EVALUATE USING GREEN'S THEOREM (4x++ sinyydy-(4y + casx?) dx, WHERE CIS THE BOUNDARY OF THE REGION x2 + y24. 4. FIND THE MASS OF A CONICAL FUNNEL Z= VX+Y) OGz4 F THE DENSITY PER UNIT AREA IS p=8-3.
what is the answer to this inequalities 2x+3y<18, -4x-4y<8, -3x+4y<12, y>-13, y<2 and 4x-5y<20 ? ure hidden in one of the locations across the US. In order to find the locati coordinate points: the linear inequality system will send you right to the location of the treasure! The t located at the point that saties the sysfem. First one to find it, wins a prize!:) ure hidden in one of the locations across the US. In order to find the...