QUESTION 2 f(x) =' x² - 2. What is the slope of the secant line that contains the points (-1, f(-1)) and (3, f(3))? QUESTION 3 f(x) = x2 - 2 The equation of the secant line containing the points (-1, f(-1)) and (3, f(3)) is y =

Q: 2 at the point ( 9, 2 is: The slope of the tangent line to the curve y The equation of this tangent…

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Q: A function f has the tangent line y=2x+1 at the point (3,7). Find the equation of tangent line of…

A: Given data:     The given expression for the function is: y=2x+1. The given point is: (x1,y1)=(7,3).…

Q: 2) We only know the coordinate of one point on that tangent line. So we can’t find its slope easily.…

A: Find the solution below:

Q: Find the equation of the tangent line to the curve y = (2 In(x))/x at the points (1, 0) and (e,…

A: To find the tangent line equations to the curve: y=2 ln(x)x at points (1,0) and e,e2. Note that, the…

Q: 1. Find the equation of the family of curves and the equation of the particular curve that passes…

A: Given the slope of the tangent at any point (x,y) is  1)3x+4 2)(x+2)/(1-y) We need to find the…

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: The tangent line to the graph of y = h(x) at the point (-1, 7) passes through the point (5, 4). Find…

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Q: Find the equation of the line tangent to the curve. y= -3x + x^2 +2 at the point (3,2) Include y= in…

A: The given equation of the curve: y=-3x+x2+2

Q: 4. What is the slope when you illustrate tangent line to the graph of the equation y 2x2 – 3x + 5 at…

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Q: Find equations of the tangent line and normal line to the curve y = x/x at the point (1, 1).…

A: y=xx

Q: Sketch the curve f(x, y) = c together with  ∇ƒ and the tangent line at the given point. Then write…

A: xy=-100

Q: Find an equation of the tangent line to the curve at the point (3, 7). y= x-1/x-2 +5

A: We can make it easier for you

Q: find the equation of the curve passing through the point (0,2) and having slope x+ex-sinhx at point…

A: Given problem is : find the equation of the curve passing through the point (0,2) and having slope…

Q: A curve passes through the point (0,5) and has the property that the slope of the curve at every…

A: Slope of the curve is given by dy/dxdy/dx is twice the y coordinate. So, dy/dx=2y

Q: The point (1, 4) lies on the curve 3xy + a²y = 16. Using implicit differentiation we get the…

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Q: Find equations of all tangent lines to the graph of y = 4x + 40x² + 125x + 118 which pass through…

A: We have given equation of graph y=4x3+40x2+125x+118. We have to find equations of all tangents which…

Q: Find the equation of the curve that passes through the point (0, 3) and has a slope of 2 x+1 O y =…

A:

Q: Find an equation of the tangent line to the curve at the given point. y = (1 + 4x)8,  (0, 1)

A: The equation of the tangent at a point (a,b)on the curve y=f(x) is given by, y-b=f'(a) (x-a)

Q: A curve passes through the point (0, 6) and has the property that the slope of the curve at every…

A: Given that the slope of curve at every point is twice the y-coordinate at P. i.e. dydx=2y (as dydx…

Q: Find an equation of the tangent line to the curve at the given point. y = 2x3 − x2 + 3,  (2, 15)

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

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Q: A curve passes through the point (0, 5) and has the property that the slope of the curve at every…

A: A curve passes through the point (0, 5) and has the property that the slope of the curve at every…

Q: 10 The point (1,f(1)) lies on the curve f (x) 5-3x a) If Q is the point (x, ƒ(x))find the slope of a…

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Q: _1. What is the slope of the tangent line to the curve y = 3x² – 5 at point (-1,-2)? a. -5 b. -6…

A: Using Derivatives & Application of derivatives

Q: Find the slope the tangent to the curve y² = 3x² + 4 through point (-2, -4)

A: Given: y2=3x2+4   , -2,-4

Q: the graph at the given point. (y − 3)2 = 4(x − 5),    (9, 7)

A:

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: Find the equations of the two tangent lines to the graph of f that pass through the indicated point.…

A: Given function is fx=4x-x2

Q: (15) Find an equation of the tangent line to the curve, xy3 − y = x2 + 5, at the point (1,2).

A: Find the slope

Q: 3. (10) Find the equation of tangent line in slope-intercept form to the curve y-r'y+-3=0 that…

A:

Q: The slope of the tangent line to the curve y = 3x° at the point (-5, –375) is: slope = The equation…

A: topic - equation of tangent line to curve

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

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Q: The point (3, 2) is on a curve and at any point, (x, y) on the curve, the tangent line has a slope…

A: Given Slope of tangent line at (x, y) is 2x-3 and Curve passes through (3,2)

Q: he slope of the tangent line is 0. Is the slope of the normal line is undefined? If yes, how can I…

A: Consider the given slope of tangent line is 0

Q: curve contains (3, 7) has slope of tangent line is 4x − 5. What is the curve equation?

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Q: Find an equation of the tangent line of the curve y= x^3 -3x+1 at the point (2,3

A: We have to find equation of tangent line

Q: The point (2,2) is on the graph of x4+4xy+y3= x2+36. Find the slope of the line tangent to the…

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Q: A curve has a slope -X+2 of at each point (X,y) on the curve. Which of the following is an equation…

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Q: Find the slope of the given point of the equation of the tangent line y=x^2-5 P(2,-1)

A: Slope of the tangent is obtained by dy/dx

Q: The tangent line to a certain curve at any point P(x, y) has an x-intercept (not slope) equal to 3…

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Q: Show that the line tangent to the graph of y = 9x+ 4x- – 2x* at (1,11) is also tangent at (- 1, -…

A: Given:- y = 9x+4x2-2x4  To find :- Equation of tangent line at point (-1, -7) and (1, 11)

Q: 1. Find the equation of the family of curves whose slope at any point is 6x. Find also the equation…

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Q: A curve passes through the point (0, 9) and has the property that the slope of the curve at every…

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Q: 1. The point (5,2) lies on the curve y =Vx-1. Find the slope (correct to six places) of the secant…

A: Since you have posted a question with multiple sub-parts, we will solve first three Sub-parts for…

Q: A curve has a slope -X+2 of at each point (X,Y) on the curve. Which of the following is an equation…

A:

Q: The equation of the tangent line to the curve X2+y2=169 at the point (5,-12) is

A:

Q: Find equations of the two tangent lines to the graph of f(x) = 2x2 that pass through the point (1,…

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Q: Find an equation of the tangent line to the graph of the equation x + y - e* - Y = 9 at the point…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.