Reflect AGHI across the y-axis. Label the new image, AGʻH’T' and list the coordinates below. y-axis rule: (x, y) → ( G: H: I: G': H': I':

Q: + y? )dx + (x² – y²)dy , where C is the triangle with vertices (0, 0), (2, 1), and (0, 1), sitive…

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Q: Find a function y = f(x) that describes the parametric x = -2t + 1, y = 3t², for – o <t < ∞. curve

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Q: The coordinate axes divide the xy-plane into four sectionscalled________?

A: The coordinate plane looks as below:

Q: Find the point (a, b) on the graph of y = ex where the value ab is theleast.

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Q: nissile is propelled from the origin of a coordinate system with the x units

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Q: Find the exact length of the curve. y? = 16(x + 4)3, Osxs 2, y > 0

A: Given data:   The given expression is y2=16(x+4)3. Th given limits of x is [a,b] =[0,2].   The given…

Q: Use polar coordinates to evaluate r3 /9-x² I (a² + y°) dy dar. x (x2 V9-x²

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Q: Find the angle of inclination 0 of the tangent plane to the surface at the given point. x² + y? =…

A: The given equation x2+y2=13f=x2+y2-13 Gradient f = 2xi+2yj The unit vector normal to the XY plane is…

Q: Find the distance between the point and the plane.

A: The distance of a point from a plane in the standard equation form is equal to . The given point…

Q: H = (x – y)a, + (x² + zy)a, + 5yza, uate ſ, H · dl along the contour of Figure 3.28. 0.

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Q: Find an equation for the set of points equidistant from the xy-plane and the yz-plane.

A: Find an equation for the set of points equidistant from the xy-plane and the yz-plane.

Q: Find the equation of the tangent plane to +y? at the point (2,-2,5) the surface z= 4 O r + 4y - % =…

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Q: Find the area of surface that is generated by revolving the portion of the curve 9 – y² , – 2 < y< 2…

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Q: 4.) y = VT, y = 3, x = 0 around the y axis %3D

A: Given, y = x1/2, y = 3, x = 0, we have to find the volume by rotating about the y-axis.

Q: b. The curve y = cosx ,y 0, x = - and x=

A: Solution Question 26 b Given, The curve y = cosx  We have to find the area of region bounded by the…

Q: Find the parametric equation of x, y, z where : . z2 = x2 + y2 p. 9 = x2 + y² Nhat is the name of…

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Q: Find the acute angle between the planes x + y = 1 and y + z = 1.

A: The acute angle between the planes x + y = 1 andy + z = 1. Use the cosine definition of the dot…

Q: Find the equation for the tangent plane to the surface at the indicated point. (Hint: Solve for z in…

A: Let's find.

Q: The temperature at the point (x, y) on a metal plate is T = x² + y2 Find the direction of greatest…

A: The temperature at point (x, y) is given by: T=xx2+y2 To find the direction of greatest increase in…

Q: Find the equation of the tangent plane to the surface z = 9y? – 4x² at the point (-3, –3, 45). e:…

A: Given query is to find equation of the tangent plane.

Q: solid that results when R is revolved about the y-axis.

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Q: find the volume of the solid

A: Given:y=x, y=2x and y=6, about the y-axis.Graph of the function is

Q: LL" IIT F4x,y,.2) dz dy dx Sketch and shade representative traces parallel to or in the coordinate…

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Q: Use cylindrical coordinates to evaluate V9-x² r9-x²-y² a² dz dy dx -3 J- 9-x² Jo Do not forget to…

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Q: The equation z = f(x,y) = y +x -3y defines a surface. What is t- equation of the tangent plane at…

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Q: Given a surface f(x,y) = -2x² + (-3)y“. Find the derivative in the direction of v = at the point…

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Q: Find the acute angle between the planes 3x + y + z = 0 and x − 2y + z

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Q: Find the distance between the skew lines with parametric equations x = 3 + t, y = 1 + 6t, z = 2t,…

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Q: Find a parmetric equation that describes the entire set of points (x,y) such that 4x2-9y2=36

A: The given curve can be represented in a different manner as shown on the whiteboard.

Q: Parametrize the intersection of the surfaces using trigonometric functions. y2 - z? = x - 7, y² + z?…

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Q: Find the equation of the tangent plane to the sphere x² + y? + z² = 1 at the point (1/ V3, 1/V3,…

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Q: I need a 3d sketch of the equation  Z=x+xsiny+xy

A: z=x+xsiny+xy

Q: y = VT, y = 2 - x and r O about the x-axis?

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Q: 6y dA, R is the quarter-disk in the fourth quadrant enclosed by the curves r+ y = 16, r = =0, and y…

A: Explanation of the answer is as follows

Q: Sjs. Evaluate ds, where f(x,y) = 2x +3y and C is the counterclockwise curve around the circle X+y =…

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Q: Find the equation of the plane tangent to the

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Q: Find the angle between the curve 2y=e-x/2 and y-axis

A: we will see in next step

Q: Find the distance between the skew lines with parametric equations x = 3 + t, y = 1 + 6t, z = 2t,…

A: I am attaching image so that you understand each and every step.

Q: Use sine and cosine to parametrize the intersection of the surfaces x² + y² = 16 and z = 4x³. r(t) =

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Q: Find the parametric equation of the intersection of the planes x + y = 1 and x + z = 2.

A: Equation of plane 1 - x+y = 1        Normal vector of plane 1 = n1 = 1,1,0…

Q: The surface given by z = x² – y? is cut by the plane given by y the point (1, 3, –8). 3x, producing…

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Q: Find the tangent plane to the equation z - 3x? – – 108) 4y? + y at the point (5, 3, z =

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Q: find an equation for the plane tangent to thesurface z = ƒ(x, y) at the given point. z = 1/ (x2 +…

A: Concept - Equation of plane is given by - Ax-x0+By-y0+Cz-z0 = 0         ...............(1)where,x0,…

Q: WY is a midsegment of AUVX. If UV = s + 49 and WY = 4s, what is the %3D value of s? U Y W V

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Q: Find the length of the parametric curve x = 2t + 1, y = 3 + 2tž, 0 < t <%.

A: Find the Length of the curve

Q: Find the angle between the curve 2y = e – x/2 and y – axis

A: Given the curve 2y =e^(-x/2) and y-axis We have find angle between curve and y-axis

Q: Find an equation of the tangent plane to the surface z = y? - x² at the point (-4,5,9).

A: Finding partial derivatives with respect to x and y for finding plane equation.

Q: Find a parametric function for the intersection of r – 3y + 4z = 0 and a? + y² = 9.

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Q: What is the equation of the plane that is tangent to the graph of z = x coS y – ye“, when (x, y) =…

A: Equation of the plane tangent to the surface z=f(x,y) :               Let   F(x,y,z) =0 ,then…