Р3 (x, у) 3 у35 х-4

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

Q: 1 Find the x-coordinates of all points on the curve y = 12x* – 80x° - 144x + 29x + 26 where the…

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Q: solve y''-y'=xex using variation of parameter . Do not use any formula

A: using variation of parameter . First we find the solution for homogeneous equation. From that…

Q: Find the equation of the tangent plane to the graph of (x, y) = In (16x? – 13y²) at the point (1,…

A: We will find the first order partial derivatives fx and fy and then use the formula for tangent…

Q: A billboard of height b=4 m is mounted on the side of a building with its bottom edge at a distance…

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Q: 6. The hypotenuse of a right triangle is increasing at a constant rate of 3 ft per second and one…

A: Trigonometric is the geometric study of triangles and algebraic study of trigonometric functions the…

Q: Find the distance between the point and the line. (Round your answer to four decimal places.) Point…

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Q: Find equations of the tangents to the curve x = 3t2 + 1, y = 2t3 + 1 that pass through the point (4,…

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Q: UV is tangent to Wat point U. What is the value of x? X - 1 2x-4 2.

A: Since UV is tangent so UVW will be a right angle triangle. So we will use Pythagoras theorem.

Q: A projectile is launched from the ground at an angle of θ above the horizontal with an initial speed…

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Q: 2/7 Solve for x. Assume that lines which appear to be tangent are tangent. SHOW YOUR WORK! 9x-2 8x

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Q: How many tangent lines to the curve y = pass through the point (1, 2)? x + 5 At which exact points…

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Q: The curve below has a horizontal tangent line at the point (4, – 1) and at one other point. Find the…

A: Explanation of the answer is as follows

Q: Find the equation of the tangent plane to the graph of S(x, y) = In (4x² – y²) at the point (1, 1).…

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

A: Suppose f(x) is a continuous function on the closed interval [a,b]. Then the arc length from a to b…

Q: How many tangent lines to the curve y = pass through the point (1, 2)? X + 6 At which exact points…

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Q: How many tangent lines to the curve y = x / (x + 5) pass through the point (1, 2)? At which points…

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

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Q: A projectile is launched from the ground at an angle of θ above the horizontal with an initial…

A: Given, the approximated equation for the range of the projectile is…

Q: The equation x² + y² = (2x² + 2y² – x)² describes a cardioid: a. Find an expression for in terms of…

A: x2+y2=2x2+2y2-x2 a). Differentiating with respect to x, we get…

Q: Find the slope m of the tangent to the curve y = 8 + 4x2 − 2x3 at the point where x = a. (b) Find…

A: Given: y = 8 + 4x2 − 2x3

Q: The slope of the tangent line to the curve y 2a at the point (- 5, – 250) is: The equation of this…

A: here for slpope we have to differentiate function y =2x3 dy/dx = 6x2 slope at (-5 , -250) dy/dx =…

Q: Find the equation of the tangent line to the circle x2 +y2 −8x + 12y + 27=0at the point (7,-2).…

A: Given equation of circle is  To find equation of the tangent line y=mx+b , we need to find the…

Q: ric equations for the tangent line to the curve of intersection + y2, 8x - 3y + 4z = 32, (3, 4, 5)

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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 slope of the tangent line to the curve 12(2 + )? = 625(x² – }) (a lemniscate) at the point…

A: Slope of tangent line is the first derivative of given curve at point ( x , y ) . Slope = dy / dx…

Q: F(x) = 2ax^3 + b^3x – 4c where a, b and c are real constants. Suppose that f has a horizontal…

A: Given query is to find the value of a ,b and c.

Q: Find all the points where the lemniscate (x2+y2)2=4(x2-y2) has horizontal tangents

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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: Find the distance between the points (-1,1) and (-4,5). Enter the exact value or the value rounded…

A: Use distance formula between two points

Q: 99. Find the point of inflection of the curve y=(9x^2-x^3+6)/6. a. 3,10 b. 2,8 с. 3,8 d. 2,10 100.…

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Q: Find the distance between the pair of points. Give an exact answer and a three-decimal-place…

A: In this problem we have to find the distance between given points.

Q: Find the direction of . The temperature at the point (x, y) on a metal plate is 7- greatest increase…

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

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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: Find the points on the curve y 2x^3 -3x^2 - 12x + 20 where the tangent is a. perpendicular to the…

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Q: Examine y = 3x4 − 10x3 − 12x2 + 12x − 7 for concavity and points of inflection. Which of the…

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Q: Solve for x. Assume that lines which appear to be tangent are tangent. SHOW YOUR WORK! 4x +6 -2 + 6x…

A: Let us label the diagram first.

Q: Determine the value of the constant real number k so that the tangent lines to the curves 16x - 5y =…

A: As per our company guidelines we are supposed to answer ?️only first question. Kindly repost other…

Q: Find the length of the curve Y = 4x^3/2 from x = 0 to x = 5/16

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Q: Q4/ Find equations for the horizontal tangents to the curve y = x3 – 3x – 2 also find equations for…

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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: find the equations of the tangent lines at the point where the curve crosses itself. x  =  t3 − 7t…

A: Given data:   The given value of x is x=t3-7t. The given value of y is y=t2.   Suppose the curve…

Q: (х — 3)4 Find all x-coordinates of points (x,y) on the curve y =. (x - 8)8 where the tangent line is…

A: If you like the solution then please give it a thumbs up... The Answer is:          x = 3 , -2

Q: Find the points on the lemniscate where the tangent is horizontal. 2(x2 + y2)2 = 49(x2 − y2)

A: The given equation of the lemniscate is 2(x2 + y2)2 = 49(x2 − y2). Since, slope of the horizontal…

Q: y Point Z is located on XY such that the ratio of the length of XZ to the length of ZY is 5:3. Enter…

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Q: A fence of height H is D feet away from a vertical wall. At what angle θ should a ladder be leaned…

A: Consider the equation

Q: Find the slope m of the tangent to the curve  y = 3/sqrtX  at the point where x = a > 0. m = ?

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Q: Slope-intercept equation fro y = x+ 9+ 8. 7+ 6. 5+ 4+ 3+ 2+ 1- -9-8 -7 -6 -5 -4 -3 -2 234 5 6789 -2…

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Q: Suppose f(x) = 2ar³ + b°x – 4c where a, b and e are real constants. Suppose that ƒ has a horizontal…

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.