If AABC undergoes a dilation of scale factor 3 centered at the origin, what will be the coordinates of the image of point B? A(1,1) B(2,3) C(4,1) 2 1 A 'C 1 2 3 -1 3 2 -1 -2

Q: Write the coordinates of the vertices after a dilation with a scale factor of 1/3, centered at the…

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Q: Suppose △ABC△ABC with coordinates A(2, 3) B(2, -1) and C(-3, -1) undergoes a dilation about the…

A: (x,y)=>(-2x,-2y)

Q: Find a parameterization for the line segment joining points (0,3​) and ​(6​,0) using the angle θ in…

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Q: Find the area of the resulting surface if an arc of a parabola y = x? from (1,1) to (2,4) is rotated…

A: Given curve is y=x2

Q: A rectangle is placed inside a semicircle of radius r, with one side along the diameter. What is the…

A: Given :-  A rectangle is placed inside a semicircle of radius r , with one side along the diameter.…

Q: What are the new coordinates of the point (11, 22) under the dilation (x, y) → (2x, 2y)?

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Q: Question 4 Is the given statement true or false? Justify your answer. 'The Midpoint Rule is always…

A: Given statement is false.

Q: 5. Find the area and centroidal distances of the curve that lies between he equations y%3D4-x^2 and…

A: The region bounded by curves y=4-x2andy=x+2 To find the area and centroidal distances.

Q: The arc of the parabola y = 5x2 from (5, 125) to (15, 1125) is rotated about the y-axis. Find the…

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Q: Chapter 33, Section 33.4, Question 41 Find the maximum, minimum, and inflection points for the curve…

A: Given y=xlnx

Q: Find an equation for each ellipse.Graph the equation

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Q: If a half-turn centered at F(3,7) is applied to the point A(9,12), what are the coordinates of its…

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Q: By differentiating implicitly, find the slope of the hyperboloid x +y? - z = 1 in the r-direction at…

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Q: Use Clairaut's theorem to draw the geodesics of the catenoid

A: Solution :-

Q: Find the image of the point (3,-3) under a dilatation with center at the origin and a scale factor…

A: Given that

Q: 17. Explain the distinguishing feature of the distance between the foci and a point on the eilipse.

A: Here we need to determine the distinguishing feature of distance between the foci and a point on the…

Q: where should the point P be chosen on the line segment AB so as to maximize the angle theta

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Q: What relationship do you see between the segments of the median that are formed by the centroid?

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Q: Write the coordinates of the vertices after a dilation with a scale factor of , centered at the…

A: Given,          The coordinates of the vertices after a dialation with a scale factor of 14 ,…

Q: and the line perpendicular to Find the area of a triangle bounded by the y axis, the tine f(z) - 9 -…

A: We have to find the area of the region bounded by the y-axis, the line f(x)=9-67x, and the line…

Q: Use the given vertices to graph AXYZ and its image after a dilation centered at the origin with…

A: We have to find the dilated traingle coordinates which is centred at origin.

Q: Where does the normal line to the parabola y= x- x2 at  the point (1, 0) intersect the parabola a…

A: Normal to a curve is a line which is perpendicular to the curve at its point of intersection with…

Q: dy Use the method of isoclines to draw several solution curves for the equation dr

A: First integrate the function using variable separation method and find y as function of x  Then draw…

Q: The vertices of Figure A are located at ( − 9,4 ) , ( − 3,6 ) , ( − 2,3 ) , ( − 8,1 ) on a…

A: Figure A are located at ( − 9,4 ) , ( − 3,6 ) , ( − 2,3 ) , ( − 8,1 ) on a coordinate plane. Figure…

Q: 2. Find the coordinates of the midpoint between the two points on the graph.

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Q: Derive the orthogonal trajectories of the family of hyperbolas ??=?.

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Q: Where should the point P be chosen on line segment AB so as to maximize the angle 0? (Assume a = 3…

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Q: Point K is on line segment JL. Given JL = x + 10, KL = 4x, and JK = 2x, determine the numerical…

A: The diagram according to the given information is shown below, so, the equation will be, JL=JK+KL…

Q: The line that is normal to the curve x2 + xy - 2y? = 0 at (3,3) intersects the curve at what other…

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Q: What is different about the shape in part c?

A: Part (c) is a rectangular shape .

Q: Find the coordinates of the point at -50° on a circle of radius 4.7 centered at the origin.

A: x=r cos θ , y=r sin θr is the radius, θ=-50°

Q: 6. Point Q is located at (27, -30). If is dilated by a factor of , with center of dilation as the…

A: Point Q is located at (27, -30) is dilated by a factor of 16, with center of dilation as the origin.

Q: Point M(-6,8) is dilated from the origin with a scale factor of 1/2. What is the coordinate of M'?

A: The idea of dilation is to make something bigger or smaller ( according to scale factor). Here the…

Q: Find the length of the arc of the parabola y²=4x from the vertex to a point where x=4.

A:

Q: 19. A point (x, ) is dilated by a scale factor of 4 with center (-2,1). What are the coordinates of…

A: A point (x,y) is dilated by a factor of 4 with center (-2,1).

Q: Where should the point P be chosen on line segment AB so as to maximize the angle 0? (Assume a = 3…

A: Given query is to find the position of P to maximize the angle theta.

Q: Exer. 35-36: Find equations of the tangent line and normal line to the hyperbola at the point P. 3…

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Q: If the line y = 3x + 7 undergoes a dilation with center (0, 7) and scale factor 10, what is the…

A: Dilation does not affect the slope of the line segment

Q: Exer. 35-36: Find equations of the tangent line and normal line to the hyperbola at the point P. 35…

A: As per guideline we have to solve one question

Q: Find the image of the point (3,6) under a dilatation with center at point (-3,6) and a scale factor…

A: P '=C+d( P- C)  Here C is centre of dilation, P is initial point, d is scalar factor.

Q: 6. Find the area and centroidal distances of the curve that lies between the equations y-4-x^2 and…

A:

Q: What are the new coordinates of the point (3, -4) under the dilation (x, y) (0.25x, 0.25y)? O (3,…

A: We have to find the new coordinates of the point (3,-4) under the dilation (x, y) ----> (0.25x,…

Q: A variable straight line of slope 4 intersects the hyperbola xy = 1 at two points. The locus of the…

A: Introduction :

Q: 19. What are the new coordinates of line segment CB if the triangle is dilated using a scale factor…

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Q: What are the new coordinates of the point (13, 28) under the dilation (x, y) - (7x, 7y)? O (101,…

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Q: The line segment WX will be dilated by a scale factor of 2 about point Z to create line segment…

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Q: A line passes through points (5, 8) and (10, a), where a is a parameter. The equation of this line…

A: A line passes through points (5, 8) and (10, a), where a is a parameter. The equation of this line…

Q: What are the new coordinates of the point (18, 8) under the dilation (x, y) → (1.5x, 1.5y)? O (32,…

A: Given the co-ordinates (x,y)=(18,8)