Endpoint of (1,0) and midpoint of (3 3/2), find the end coordinate point of the other endpoint

Q: Direction: Find the equation of the tangent lines. Show your solution. 1. f(x)= x2 +5x +1 at (6, -2)…

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Q: Find the slope of the curve y^2 = 3x + 1 at the point (-1/3, 0). Draw the graph of the curve. (solve…

A: y2=3x+1

Q: Find the equation of the tangent plane to the graph of f(x, y) = In (14x² – 11y) at the point (1,…

A: Let us considre a two variable function z=f(x,y)  Then the equation of tangent plane  at (a,b) is…

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 an equation for the line that is tangent to the curve y = 3x'- 3x at the point (1,0). The…

A: The given function is  f(x) = y = 3x3 - 3x To find the equation of the tangent passes through (1, 0)

Q: The equation of the curve is y² = x³ + 9x. Find the x-coordinates where tangent lines are vertical.…

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Q: A person is holding a rope that is tied to a boat, as shown. As the person walks along the dock, the…

A: Here, the distance the person must walk to bring the boat to a position 5 feet from the dock.

Q: Find a point on the curve x³ + y = 11xy other than the origin at which the tangent line is…

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Q: a. Find an equation for the line that is tangent to the curve y = x3 - x at the point (-1, 0). b.…

A: (a) Consider the provided equation of curve and point where the tangent drawn is shown below,

Q: 5y " –(y')* = y³ sin æ

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Q: Find an equation of the tangent line to the curve at the given point. xy + x?y? = 12, (3, 1)…

A: Equation of tangent line to the curve: Curve is :                      xy+x2y2=12 at (3,1)…

Q: Endpoint of (-2 -2) and midpoint (-1½, 1)

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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: 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: Function 1: y =x2 +4 Function 2: y= 3x + 4 Rotation: x- axis Interval: Solve

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Q: Find the slope of the line tangent to the curve y =x at the point (- 0.4, 0.16) and then find the…

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Q: a. Find an equation for the line that is tangent to the curve y = x3 - 6x2 + 5x at the origin.  b.…

A: Given:

Q: Water is running into a hemispherical bowl having a radius of 10 cm at a constant rate of 3 cu.…

A: Hemispherical bowl radius= 10 cmdvdt=3 cu.cm/mindxdt=0.0149 cm/min

Q: Find an equation for the line that is tangent to the curve y= 4x° - 4x at the point (1,0). The…

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Q: (a) Equation of the circle of radius 2 centered at the origin(b) Equation of the circle of radius…

A: (a) Given Data: The expression to generate the equation of a circle with radius r and center at…

Q: A straight line whose inclination with positve direction of the x-axis measured in the anticlockwise…

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Q: Line IB and line IA are both tangent lines. IB = 2x - 5 and IA = x + 15. Find the value of x. x+15…

A: from a given point length of tangent is equal.so IA=IB.so x+15=2x-5,x=20

Q: Find an equation of the line tangent to the graph of f(x)= 2x° at (2,16). The equation of the…

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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: A straight line from the origin passes through the point P(x, y) in the first quadrant and is…

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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: Using the implicit derivation method: If x2 + y2 = 25, find the slope of the equation of the line…

A: For the solution of the problem follow the next step.

Q: For a certain curve, the point of contact of each tangent to it bisects the part of the tangent…

A: For a curve, the point of contact of each tangent to it bisects the part of the tangent terminating…

Q: (2) slope: .. y-intercept:.. Equation: ..

A: our objective is to find slope, intercept and equation

Q: Calculate the length of the curve defined by Vy(y-3)on the interval 1 < y < 9. x =-

A: Solution: Consider the given curve: x = 13yy-3 on the interval 1≤y≤9 Since we know that the arc…

Q: distance between point Al2,4) Perpendicular on the line L:3y=3+X is solution:- 1) 149.3 2) 53,41 3)…

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Q: Find an equation for the line that is tangent to the curve y = 3x°- 3x at the point (1,0). The…

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Q: Find an equation of the tangent line to the curve at the given point. y (4,16) (Express numbers in…

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Q: Find an equation for the line that is tangent to the curve y = 5x - 5x at the point (1,0). The…

A: Our Aim is to find an equation for the line that is tangent to the curve y=5x3-5xat the point (1,0).…

Q: A hockey player strikes a hockey puck. The height of the puck increases until it reaches a maximum…

A: Given,  The height of the puck increases until it reaches a maximum height of 2 feet, 75 feet away…

Q: ) Find equations of the tangent line and normal line to the given curve at the specified point.  y =…

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Q: Find the maximum rate of change of f at the given point and the direction in which it юсcurs. f(х,…

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Q: Find all the values of x where the tangent line is horizontal.   f(x)=2x3+45x2+324x+8

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Q: Where x <0, the point (-x,2) is located in Fourth quadrant AO Third quadrant y-intercept .CO Second…

A: Solve by quadrant

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: slope = -1; passes through the point (-4, 10)

A: The slope intercept form is written as y=mx+c

Q: (2) slope: ... y-intercept:.. Equation: .. HACDAL

A: from the graph

Q: 8) About the y-axis (0, 2) л y = 2sin (x) ;0< x≤ π X X

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Q: 3 Find an equation for the line that is tangent to the curve y=2x-2x at the point (-1,0). The…

A: Given.

Q: Endpoints of transverse axis: (0,-24), (0,24); asymptote: y=2x

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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: Find the equation for the tangent plane and the normal line at the point Po(3,1,3) on the surface…

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Q: Find an equation of the tangent plane at the given point. g(x, y) = ey, (5, 1) (Express numbers in…

A: To find  An equation of the tangent line at the given point.

Q: 12. A 250 cm piece of wire is cut into two pieces. One piece is bent into an equilateral triangle…

A: Given, A  250 cm piece is cut into two pieces and the pieces is bent in equilateral triangle and…

Q: Sketch linear equation 2 X + 3 y = using any methods (table, y-intercept ane slope, etc).

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