2-) for the function flx)- a) find vertical and horicentel caymptote b)i dentify the critical points otthe function c) Determinethe open intevels on whicch the function in creases ordecreases and the folbutig que? d+x3

Q: SUppose that y is continous function over the interval Lo,5] Also suppose we know the following 0…

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Q: 1. Given a function w = f(x,y, z) = -x² – y² + z. a) Find the domain and range of the function. b)…

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Q: above the ground. The height, h(t), in metres, of the disk after launch is modelled by the function…

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Q: Determine the x-values at which the graphs of f and g cross. If no such x-values exist, then state…

A: This question is related to Functions, we will solve it using given information.

Q: Q2. Determine all values of a, b, c, d, e for which the following function is a cubic spli a(x – 2)2…

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Q: 4. Given f'(x) as shown in the sketch, which of the following describe f(0)? (Circle the letter(s))…

A: Consider the given graph: The graph is of first derivative of function: At x = 0, f ‘ (x) is zero.…

Q: O2/ Find all Max. Mn. Saddle point for the function Lelowr lay) = 2xy-5x-2y" + AX+4y-4 %3D

A: Maximum , Minimum and saddle points for f(x ,y) :   For critical points , fx(x,y) =0 = fy(x,y) (say)…

Q: 5. For f(r) = e (x - 5), find a). the domain, b). f', critical points, %3D c). the local maxima and…

A: As per our guidelines, I can answer maximum three subparts of a question. Since you have asked for…

Q: a) If the y-coordinate of the derivative function is negative over an interval, then the function is…

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Q: dy 4 Given the equation x + 4xy + y* = 8, evaluate Assume that the equation implicitly defines y as…

A: Given,            Fx,y=x2+4xy+y4-8=0

Q: a) that has a relative maximum and is differentiable at 2. at 2. b) that hos a relotive maximmum at…

A: Here we draw the image for each questions.

Q: identify is: O Given that fla) = x4 - 4x3+5, the interval shere @Decreasing Increasing Concave up…

A: We will use derivative test for Checking Monotonic nature and Concavity nature

Q: 24). Consider the frinction fa)= 2. :) t the Find the equatien ") Eaplenin why the intersectio…

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Q: Find the absolute maximum of the function Ax) = x(x+ 1)(x– 1) on the interval osxs2. O a) o b) 8 c)…

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Q: Answer the following questions for the function f(x) = xvx? + 9 defined on the interval [-6, 4]. a.)…

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Q: 3 B Consider the following function, z= x -2xyty't yn Lind the alues of ag Ddz,z,when redgyel dy 6.

A: Given : z = x2 -2xy + y3 + yw

Q: Problen 2: Consider the function Sx f-1ハXA0 la-3x if o4 xS1. a) sketch the graph of f 6) Does f have…

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Q: Sketch the level curves when z = 5 and z = 8 for the function z = z + y? + 4. Hence, sketch the 3D…

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Q: las For the folowing bunction f(u) - 2)c? -3jc +3 2)c' -3jc %3D n'-qut2 which Irunction O Find Hhe…

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Q: but no absolute extrema. ii) A function that is concave up and decreasing. i) A function that is…

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Q: und - 0 + und + -5 + und - 0 - und + g'(t) -5 + und - 0 + und g"(t) -5

A: As per our guidelines we are suppose to solve only first three sub-parts of a question if the…

Q: Jy (a, b)? b.) Determine for what points g(x, y) = x – 2 In|x + y| is differentiable.

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Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.