Write the eguatoN: ation: vertical Asympto te at x- -1 d olible zero at X= 2 y intercept at (0,2

Q: Tnd th gredient y te tengut y= 3x at te pont (3,-1)

A: See the detailed solution below.

Q: Find the tangent/s as directed:to the parabola (x + 2y)^2 + 2x – y – 3 = 0, parallel to the line x –…

A: Given equation of line is  x-4y=24y=x-2 y=14x-12 So comparing with the slope equation formula,…

Q: Sketch the level curve for f(x, y) = 36 – 9x? – 12y2. '36— 9х2 —

A: Given function f(x,y)=1236-9x2-12y2

Q: The surface of a mountain is modeled by the equation h(x, y) = 5000 − 0.001x2 − 0.004y2. A mountain…

A: Hints:  The given equation is h(x,y)=5000-0.001x2-0.004y2 and the given point is (500,500,3750). To…

Q: The skope intercept bm of teine with skope egal to 20 and yirteroept (0, 4) Dy - 2x - 36 -0

A:

Q: (b) Sketch the graph of the function y = 1+ /16 – x²2 for -4 < x < 4. Hint: x2 + y? = 16 is the…

A: Consider the equation of the circle The graph can be plotted for the circle as

Q: Parametrize the osculating circle to y = √x at x = 4.

A: Given that the osculating circle  y = x

Q: Suppose the elevation z above a point (x, y) in a horizontal xy- plane at sea level is z = 5cos…

A: Given that z= 5cos(0.01(x2+y2)) meters.

Q: Find the asymptotes of the cissoid of Diocles defined by the equationy2(2a−x)=x3,a&gt;0.

A:

Q: Find the point on the curve y = V4x + 5 which is closest to the point (7, 0). Round to at least 3…

A: Solve the a above questions

Q: How would ugraph fx):()'?

A:

Q: Y=sec ( x- π/2) Asymptototes

A:

Q: Find the tangent to the ellipse x? + y² = 1 at P:(V2,1//2). %3D 4 ソ-Va z-Zol

A: Solution:-

Q: find enclosed by following curves area Oくx(2て (a) 4= Cog x ;y=2- Cosx ; (b) y = X Sitx? Recall…

A: (a) y=cos(x), y=2-cos(x) Lets graph both equations using graphing calculator Area =∫abupper…

Q: Determine the inflection point of the following cubic: The inflection point is at (x, y) = ( [ f(x)…

A:

Q: me please: Suppose X1, X2 ∼ Unif(0, 1) and are independent. Let

A: We have given that X1, X2 ∼ Unif(0, 1)

Q: Q3 Determine the area of a surface when the curve y==x² 3 1 x², 1<x<3, is revolved about 2 the…

A:

Q: Q3/ Find the area of zone bounded by curves: y= x? y= 3x+8

A:

Q: ind all the tangents to the curve y cos (x %3D

A: Here we have to find the tangents on the curve y=cos(x+y)...........(1)     , -2π≤x≤2π parallel to…