The diagram shows an initial arm of length1 unit being rotated countercockwise about the origin to form a circle of radius 1. Two points on the circumference of the circle are A (,, and B (,-). Cundrant QuadrantI 180 (1. e) 0, 360 Quadrant II (0.-1) Quadrant IV 270 Rotating counterclookwise from A to B, the measure of ZAOB S 0195 255

Q: Suppose you are climbing a hill whose shape is given by the equation z = 1200 – 0.005x? - 0.01y2,…

A: Here, starting coordinates are 60,40,1166

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A: Given: y=x2

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A:

Q: Draw a diagram to show that there are two tangent lines to the parabola of y = x2 that pass through…

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Q: curve Y = √x closest to the point (5,5

A: The given curve is y=x.

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

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A:

Q: Find the equation of the tangent plane to the graph of 9y f(x, y) = at the point (4,-7). (Use…

A: Topic:- application of derivatives

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A:

Q: Find the points that touch the x axis of curvev=u^2+pu+(n+1) Where n is your arid number for example…

A: Given that the curve in u,vthe axis is given by v=u2+pu+n+1 Given n=1147and let p =constant…

Q: Two circles of radius 4 are tangent to the graph of y2 = 4x at the point (1, 2). Find equations of…

A: Given: Two circles of radius 4 are tangent to the graph of y2 = 4x at the point (1, 2). To Find…

Q: Draw a diagram to show that there are two tangent lines to the parabola of y = x2 that pass through…

A:

Q: Determine the missing coordinates of the points on the graph of the function. 2 y = arctan x -3 3…

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Q: Find the length (in units) of the curve y =    16 − x2between x = 0 and x = 2.

A:

Q: A ball located at point Q, with an initial angle of 0 = 0, on a spinning wheel with a radius of 1…

A:

Q: Jategrate h (x.y) = (x+y)i+(-x)j over the closed curve that begins at (-1, 0), goes along the x-axis…

A: we will use green theorem here to solve this question

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A: Given that a base of ladder is 5 feet from the wall from the top where it rests and the slope made…

Q: The path of a fast moving particle assuming constant speed traces a circle with equation (x-3)2 +…

A: Given - The path of a fast moving particle assuming constant speed traces a circle with equation…

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A:

Q: Draw a diagram to show that there are two tangent lines to the parabola y = x² that pass through the…

A:

Q: Find the points on the curve  y = 2x3 + 3x2 − 12x + 5  where the tangent line is horizontal. (x,…

A:

Q: Find the lateral surface area of the cone generated by revolving the line segment 5x – 8y + 40 = 0,…

A: Detail solution written below

Q: Decide whether the problem can be solved using precalculus or whether calculus is required. If the…

A: Given y = x2 given points (1, 1) and (3, 9)

Q: Find the lateral​ (side) surface area of the cone generated by revolving the line segment ​y=2x/5…

A: The given line segment: y=2x5 ;       0<x<8

Q: Find the equation of the tangent plane to the graph of 5y f(x, y) at the point (4, -7). (Use…

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Q: Find values of a and c such that the tangent to y = ax2 + 12x + c is horizontal at the point (2,5)

A: Tangent is horizontal where derivative is zero

Q: a moving point is equidistant from the point (a,0,0) and the line x+a=0,y=0.Find the value of z^2

A: Let us assume that the point is = x,y,z The distance between the point a,0,0 and point x,y,z is:…

Q: The above diagram showš the curve y = (1 – x)(x– 4) and the straight line y =4-x that intersect у at…

A: Point of intersect → (k , 2)x = Ky = 2putting in equation of line :2 = 4 - kk = 2

Q: Determine the value of the constant real number k so that the tangent lines to the curves 36x - 11y…

A:

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A:

Q: Determine an equation for a cosine function with adjacent maximum at (60°, 5) and minimum at (150°,…

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Q: etermine the distance from the point (8,10) to the farthest point on the circle x2+y2=16y Ans:…

A: answer is in next step . please give a like !!

Q: equation 2y-xedy- 942x Find the particular SoluHon of the differen tical grven mat y=3,22

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Q: Find the length of the curve 3x = (y² + 2)³/2 from y = 2 to y = 3 %3D

A: Use length of curve formula:-  for a given curve x = f(y) from y=y1 to y=y2 length of curve,…

Q: Atomic particles with like charges tend to repel one another. Suppose that two beams of like-charged…

A: Here, we can define the path of the given  particle as:

Q: 1) What is the equation of 5 center the circle whose center is (4, 2) (4, 2) and is tangent to line…

A: Given the center of the circle is (4,2) and is tangent to line y=-5. Since, the tangent is a line…

Q: Find a value for x so that distance from (x,3,6) to the origin is 9

A:

Q: Find the equation of the tangent plane to the graph of f(x, y) = 2xy² + 2x³y? at the point (-1,2).…

A: To find the equation of a tangent plane.

Q: by fev ving the curve in the indicated Coordinate plane about the given axis. Equation of Curve 22 -…

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Q: Find equations for the lines tangent and normal to the cissoid of Diocles y (8 - x) = 4x at (4,8). y…

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Q: A tangent line to y=1/x^2 intersects the x-axis at the point A and the y-axis at point B. What is…

A: Please note: The line tangent to the given function intersects the x-axis at a point A and the…

Q: ind an equation of the circle with centre C(3,-2) and tangent line y=5 .

A:

Q: Find the equation of the tangent plane to the graph of f(x, v) = In (17x² – 14y²) %3D at the point…

A: The given function is f(x,y)=ln17x2-14y2 and the point is 1,1. The equation of the tangent to the…

Q: Find the shortest distance, d, from the point (4, 0, -4) to the plane x + y + z = 4. d =

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Q: The slope of the tangent line to a plane curve y=f(x) at the point (x,y) is given by 3 - 2 m=- + 16x…

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Q: An automobile, traveling at a constant rate, starts at home at ime t = 0 and ends up 10 hours later…

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Q: Determine the equation of the isogonal trajectories of the curves y = ce* if the angles of the…

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Q: Atomic particles with like charges tend to repel one another. Suppose that two beams of like-charged…

A: x^2 − 4y^2 = 36 is a hyperbola Write it in the standard form and find a and b by comparing.

Q: 9. Find the width of the shape, surrounded by two curves y = e*, y = e¯ * and %3D two straight lines…

A: Consider the given curves y=ex and y=e-x and two straight linesx=ln2 and x=ln5.

Q: Suppose you are climbing a hill whose shape is given by the equation z = 1700 - 0.005x2 - 0.01y,…

A: