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1 let i be an interval of the real line and let f be a real-valued function with i sube dom f we say that f is
show all of your work on the answer sheet provided make sure you read this problem carefullynbsppart a graph the
1 the function fxx4 - 4x3 8x has a critical point at x1 use the second derivative test to identify it as a local
1 find the equation of parabola describe find 2 points of latus rectumgraphfocus-50 vertex002 find the equation of the
1 find the centerfoci and vertices of ellipsex4249 y4225 12 find the center transverse axis vertices foci and
1 write the equation of the line which has y-intercept 0 5 and is perpendicular to the line with equation y -3x 12
a thin plate occupies the region x24 y29 is less than or equal to 1 if the temerature of the plate is txy x2 y2 - 5y
consider the function fx y 4radicx2 y2a find the gradient vector of the function at the point 1 1b find the equation
1 state the domain of the followinga fx radicx 4b gx 2x 1 x - 7c hx 3x2 5x - 3d lx 2x 3e mx 3 x2 72 the
1 solve the following equations algebraically you must show all your worka t23 4nbspnbspnbspnbspnbspnbspnbspb 5radicx1
1perform the requested operation or operationsfx 2x - 9 gx 4x - 4find f - gx2compare the graph of the given quadratic
computing the laplacian in different coordinate systemsthe laplacian of a function taxyz in 3d cartesian coordinates in
1 determine whether the ordered pair is a solution of the inequality-948xylt-9in this case is the ordered pair a
1 during the championship soccer game the goalkeeper brandon kicked the ball straight up to the mid-fielder alex with
1 solve and graph3x13ge and 3x - 20 ge -11the solution is xx ge 2 solve and graph3x3ge - 18 or 6x 3 ge -9the solution
1 solve the system of equations by graphingnbsp then classify the system as consistent or inconsistent and as dependent
the curve c has equationy arsinh x3nbspnbspnbspnbspnbspnbspnbspnbspnbspnbspnbspnbspnbspnbspnbspnbspnbspnbsp x ge 0the
fx ax b x 2 x isin r x ne -2where a and b are constants and b gt 0a find f-1xnbspnbspnbspb hence or otherwise find
1 find the slope of the line 3x - y 52 find the point of intersection of the lines 2x y 4 and 3x - y 1 graph the
1 determine whether the given numbers are solutions of the inequality7 -13 -17 -1y-10gt2y-4is 7 a solution2 write the
thenbsplawnbspof supply and demand states that in a competitive market environment supply tends to equal demand and
a body has an equation of motion measured in meters after t seconds such thats 43t3 - 14t2 40t 8a when and where is
please sketch the curve for the following parametric equation and show the table to plot pointsi x 2t 1nbsp and y t
1 given the function f describe by fxx10find the followingf02 find the indicated outputs for fx5x2-3xf03 the function h
1 the point a-1 3 lies in a cartesian plane determine the co-ordinates of the image of a ifa a is reflected about the