(2) (Distance) Using techniques from this class, compute the distance from the point (-3,9) E R? to the line containing the origin and the point (1,2).

Q: Find the points on the curve  y = x3 + 3x2 − 9x + 2 where the tangent is horizontal.   smaller…

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Q: Find the equation for (a) the tangent plane and (b) the normal line at the point Po(6,0,6) on the…

A: Use tangent plane equation

Q: The curves f(x) = x + 2x + 5 and g(x) - x + 3 intersect at the point ( – 2, 5). Find the acute angle…

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Q: Find the acute angle between the curves y = (/3)x3, and y = (/3)/5 x at the point of intersection…

A: The given curves are y=3 x3 and y=35x=15x and the point of intersection of the two curves are P1, 3.…

Q: Find the equation for (a) the tangent plane and (b) the normal line at the point Po(2,0,2) on the…

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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 line is tangent to the curve y = 3x1 and is bounded by the r- and y-axis in the first quadrant.…

A: Let's find.

Q: Find the points on the lemniscate where the tangent is horizontal. (Order your answers from smallest…

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Q: First try was incorrect Find the distance between points X and U. U +++ + -0.5 -0.3 0.5 -0.1 0.1 0.3…

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Q: Can i get help step by step with this problem?

A: Slope of the tangent is the derivative of the given curve. Therefore differentiating f(x) with…

Q: Find the equation of the tangent plane to the graph of f(x, y) = 3xy² + 2x³y² at the point (-2, 3).…

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Q: The curve y et and the lines y = 0, x = 0, and x = In 2 %3D

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

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Q: Find distance the poinl- the between Cziz16) f * +y=0, J - Z =1 the line

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Q: Find the points that touch the x axis of curve v = u2 + pu (n+1). Where n = 744. Also find the…

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Q: 5) Find all points (x, y) on the graph of y = - with tangent lines perpendicular to the (x - 4) line…

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Q: Find the area of a triangle bounded by the y axis, the line f(x) f(x) that passes through the…

A: Given: - The line f(x)=7-13x and the line perpendicular to f(x) that passes through the origin, To…

Q: The curves f(x) = x² + 2x + 5 and g(x) intersect at the point (– 2, 5). - x + 3 Find the acute angle…

A: Given that ,  fx=x2+2x+5  and ,  gx=-x+3 To find : the acute angle of intersection of curves. The…

Q: NO. DATE L Find the equation of the line tangert to the curve 4= x? coxo+ Ex +2 - at its point of…

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Q: Find the points on the graph of z = xy +8y where the tangent plane is parallel to 9x + 5y + 9z = 0.…

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Q: 34. Find the points where the line y = 2x intersect a circle of radius 6 centered at the origin.…

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: Find the points on the graph of z = xy + 8y where the tangent plane is parallel to 2x + 5y + 2z = 0.…

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Q: Evaluate |-y dx+x dy , where C consist of the curves along the horizontal line from (-4,4) to (-2,4)…

A: The given integral is: ∫C -ydx+xdy Where C consists the curve along the horizontal line from -4,4 to…

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

A: Given : y=xx+1  pass through the point (1, 2) To find: The number of tangent lines to the curve  y =…

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 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: 3 Find the x-coordinates of all points on the curve y = (-x² + 8x – 7)° with a horizontal tangent…

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Q: Iz+ai| rupriants Prove that the equation Iz+2] = 5V13 the origin is distance from pror line and its

A: Prove that the equation z+2=z+3i represents a line and its distance from the origin is 51326.

Q: The tangent plane at the indicated point (xo,Yo:Zo) exists. Find its equation. f(x,y) ху; (- 7,6, -…

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Q: 23. A tangent line drawn to the graph of y = 2x/(1+ x²) at the point (2,0.8) forms a right triangle…

A: Given: y=2x1+x2; 2,0.8 we know that for finding equation of tangent at point2,0.8, first we need to…

Q: 5. х%3 8 6.

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

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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: 5 Find the equation of line tangent the circle x+y = 25 at point (3, -4). .2 %3D

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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: (ii) Find the distance from the point (2,-1,4) to the piane contains lines given by: *-1 y- 2 :- 3…

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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: (a) What is the formula for finding the distance between the points (x, yı) and (x2, y2)? (b) What…

A: Given: (a) Points (x1, y1) and (x2, y2) (b) Points (x1, y1) and (x2, y2)

Q: Find the equation for the tangent plane and the normal line at the point Po(1,2,2) on the surface…

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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: The tangent line to the graph of f(x) at x = 2 is shown. On the tangent line, P is the point of…

A: a) From the graph P(x,y)= (2, -1) A(x,y)= (0,0)   Answer(a):  P(x,y)= (2, -1) A(x,y)= (0,0)

Q: Find distance between point A(1,3) Perpenclicular the line L: 2y =2+X on

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Q: find curves y = y ( x ) such that every point ( x 0 , y 0 ) on the curve divides the tangent line…

A: step:- 1 Section Formula:- Let SQ be a line segment with end points S (a1,b1) and Q (a2,b2) then let…

Q: 13. BONUS: Find the coordinates of all points on the graph of y=1-x at which the tangent line passes…

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Q: The straight line y=x +B is tangent to the graph of f(x) = 2^{x at the point where x = A. Find A and…

A: The staright line y=13x+B is tangent to the graph of f(x)=2x at the point where x = A, we have to…

Q: 3. and the line perpendicular Find the area of a triangle bounded by the y axis, the line f(x) to…

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Q: Which of the following straight lines are tangent to the curve y = x³ + 4x2 + 7x and passes through…

A: Topic = Geometry  y=7x ia the tangent to the curve.

Q: (4) Find all the points on the curve y =r- 31 where the tangent line is parallel to the r-axis. (5)…

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Q: Find the length of the curve y= (x+2)3/2 for a in the range 0 <I< 2. %3D

A: find the length of the curve y=x+232 for x in the range 0≤x≤2 solution length of the curve is…