22. Intercept-Intercept Form Show that if a, b + 0, then the line with x-intercept x = a and y-intercept y = b has equation (Figure 13) х a b. b' a ||

Q: Find the equation of the tangent to y = 1/x −2 at the point (5,1/3)

A: If you like the solution then please give it a thumbs up... The Answer is:     Equation:.    75y =…

Q: The curve y = ax2 + bx + c passes through the point (2, 32) and is tangent to the line  at the…

A: Given curve: y = ax2 + bx + c passes through (2,32) and  (0,0) line at the origin is tangent to the…

Q: The slope of the tangent line to the curve y at the point 6, is: 3 The equation of this tangent line…

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Q: Find an equation of the straight line having slope 1/6 that is tangent to the curve y=√x+5.

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Q: ) Find the slope m of the tangent to the curve y = 9 + 5x² – 2x3 at the point where x = a. 10а + 6а?…

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Q: 1) 8(x-1)-6(x+2) 8x-8-6x+20 -6x -6x 2/2 20/2 X-10 x- 1 x+2 6. 8. Find the measure of the line…

A: Note : As per the guide lines will be solving only 1st question. Please re-post other questions…

Q: Find equations of the tangent lines to the curve y = 6 n) at the points (1, 0) and (e, at the point…

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Q: 16 Find the equation of the line tangent to y = at the point ( 2, 2). Write your answer in slope…

A: Given:        y = x3-16x-yConcept :  Equation of the line target to y at (x ) is              y - y…

Q: Find the equations of all tangent lines to the graph of y=x -7 x+ 49 that pass through the origin…

A: Equation does not passing through origin.  Hence there are no tangent line whose passing through…

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: The curve y=ax^2+bx+c passes through the point (1,9) and is tangent to the line y=3x at the origin.…

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Q: 1) The slope of the tangent line to the curve y=2/x at the point (4,1/2) is:   2) The equation of…

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Q: a) What is the equation of the line parallel to LM passing through N with point(X1,Y1). b) Show…

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Q: Find the distance from the point Q to the line ℓ.

A: Given: Q=0, 1, 0, l with equation xyz=111+t-203.

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: slope=2/3; through y-intercept(0,4)   parallel to 2x+4y=9; through (6,1)

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Q: 15 Given a tangent line to the curve y=x-2x is perpendicular to the straight line 7 23 Find the…

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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: =12 Sho

A: Straight line: The slope intercept form is y=mx+c Where m=slope. c is y-intercept.

Q: 30. Find the points on the curve y = tan x, -7/2 <x< T/2, where the tangent is parallel to the line…

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Q: Find the equation of the line tangent to the curve y= x^3 + 5x at the point (1,6) Include y = in the…

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Q: 3 at the point 6, 2 The slope of the tangent line to the curve y |3| is: The equation of this…

A: Derivative y with respect to x and then substitute the given point to find the slope.

Q: 13) Find the equation in slope-intercept form that is tangent to (x- 1)² + (y + 2)² = 25 and passes…

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Q: 21 at the point (1, 7). Find the equation of the line tangent to the graph of the function w(x) = x2…

A: Solve for the equation

Q: 8. A curve whose slope at any point is 6x² А. у %3D 2х3 — х? +х+6 - 2x + 1 passes through the point…

A: We need to find equation of curve.

Q: Find the equation of th line perpendicular to the line 3y=2-4x and passing through the point (4,7)

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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: 5+ 4- -5 -4 -3 -D4 of In the above graph of y = f( x ), find the slope of the secant line through…

A: The slope of line passing through two points (x1, y1) and (x2, y2) is y2-y1x2-x1. Given: We have…

Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the…

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Q: 1.) Find the slope from point C to point D. rise %3D (2- Y1) Slope = m = run Submit A

A: Slope between c to d

Q: + 6) 2. Find the points where the tangent is parallel to x-axis, y =(x - 3a

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Q: 59. Find equations of both lines that are tangent to the curve 3x23x-3 and are parallel to the line…

A: First we find the slope of the tangent:Slope of the tangent is the derivative of the given…

Q: B. Find the slope of the curve at the given point. Ax = 4u(2 – 3u)², y = 3u² – 4u + 4 u =

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Q: passes through the points (-2, -9) and (4, -6)

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Q: 1.) Find the slope from point C to point D. rise (2- Y1) Slope = m = run %3D Submit A

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Q: 6. Find an equation in the form y = ax³ + bx² + cx + d__whose graph has an x-intercept at x = -1, a…

A: Given: x-intercept at  y = 2 y-intercept at x = -1 slope at (-2,-2) is 5. (-2,-2) lies on the curve…

Q: 4. Find the equation for the line tangent to (persamaan garis şinggung) a. y= x2- 3 x + 5 at the…

A: The objective of the question is determine the equation of the tangent line.

Q: Consider the line with the equation: y = – x – 16 Give the equation of the line parallel to Line 1…

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: 15. Determine the equations of two lines that pass through the point (-1,-3) and are tangent to the…

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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: Wallis is seated on the line tangent to y=4-3x-x2 at the point (2, -6).

A: wallis is seated on the line  tangent to curve   y=4-3x-x2   at point 2,-6

Q: (5) 3. In the same graph as #2 draw the secant line joining (0, 0) and sin Find the slope of this…

A: Question is solved.

Q: 6. Determine the equation of the lines tangent to the curve (there are two!) x²y + 2xy? = x + 6y,…

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Q: 4. Find the equations of the tangent line and the normal line to the curve at point P (3,3). 5. Find…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 17. The line with equation y = 2x b where bis a constant, passes through the point (3, 6). What is…

A: When a line passes through a point then the coordinate  values of the point must satisfy the…

Q: 5 25 Find the slope of the line tangent to the curve y =x at the point and then find the…

A: The given equation of the curve is y = x2. The slope of a tangent to a curve at any point is given…

Q: 5. Find the equations of the tangent line and the normal line to the curve at point P (1,0). (HINT:…

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Q: The y-axis and the line x = c are the banks of a river whose current has uniform speed a in the…

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Q: A line is parallel to 3x + y = 7 and tangent to y = x² + x- 6. Find its equation. A. 3x + y = 10 B.…

A: The given line is: 3x+y=7. The given curve is: y=x2+x-6

Q: A curve is defined by the equation 2sin(y) – xy + y2 = 0. (a) Verify that the curve passes through…

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