- The devil's curve (Gabriel Cramer, 1750) Find the slopes of the devil's curve y* - 4y? - x* - 9 at the four indicated points. y* - 4y =- 9² (-3, 2) (3, 2) -3 (-3, -2) (3. -2)

Q: The point P(5, -3) lies on the curve y = 3/(4 – x). (a) If Q is the point (x, 3/(4 - x)), use your…

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Q: EVALUATE. Find the equation of the family of curves whose slope at any point (x,y) is -4e-2xsin2x.…

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Q: ANSWER NUMBER 3 ANSWER IN COMPLETE SOLUTION

A: Given: y'' = 6x - 4 and the points (1, 2) and (-2, 5). To find: The equation of a curve for which…

Q: The graph of y = f(x) passes through the point (9,4). Also, the line tangent to the graph at any…

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Q: Solve for C given the general functions below and the specific point. 9. Find the equation of the…

A: Since:              The given general equation is of the form:…

Q: 5-x Find the family of the curve whose slope at any point is y-3 passes through the point (2.1) and…

A: Topic:- calculus

Q: (a) (a) Find the points of inflexion of the curve .3 y =- a +x2

A: x3a2 + x2 To Find: Points of inflexion on the curve  Proof: We will find the double derivative of…

Q: 10- y = f(x) 2 y=x? -4 y =x- 4 -10 10 P(0, - 4) -10-

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Q: 3Keth curve ,Orienlation, regtangular equation. X = t-1 1-7

A: The given parametric equation is as follows. x=t-1 y=tt-1 For the value of y to be defined, its…

Q: The point  P(9, −2)  lies on the curve  y = 2/(8 − x). (a) If Q is the point  (x, 2/(8 − x)),  use…

A: The point on the curve y = 28-x is Px1, y1 = 9, -2 Another point Q on the curve is Qx2, y2 = 8.9,…

Q: 5. The eight curve Find the slopes of the curve y - y -x at the two points shown here. y= y -

A: Find the slopes of the curve y4=y2-x2 at the two points shown here  Find the derivative of given…

Q: The slope of the tangent line at any point (x, y) on the curve 3x2 -2x+ 7 and the point (1. 3) is on…

A: Given slope is 3x2-2x+7 and the point is (1,3)

Q: Example 9.1. Form the difference equation corresponding to the family of curves Y = ax + hr²

A: Please find step by step answer below:

Q: Find an equation of the line tangent to the graph of G(x)=5 eX at the point (0,5). The equation of…

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Q: he slope of the curve 2y2=ax2+b at (1,-1) is -1.Find a,b

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Q: Let f(-6) = -5 and f'(-6) = 7. Then the equation of the tangent line to the graph of y= f(x) at r =…

A: Given query is to find the equation of the tangent.

Q: 5x=2 5. Find the member of the curve whose slope at any point is y+s point (3, 2) and passes through…

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Q: # 4.) Line p (not shown) passes through A(0,–2) and intersects segment TI at the midpoint between T…

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Q: 5. Two stations, located at M(-1.5, 0) and N(1.5, 0)(units are in km), simultaneously send sound…

A: The given data is: Two stations, located at M-1.5, 0 and N1.5, 0 (units are in Km) The signal…

Q: 4 -. If Q is the point ( x, 1 The point P , - ) 4 |, find the slope of the 8. lies on the curve y 2…

A: Given data:     The given point P is: P=(x1,y1)=(1/2, 8). The expression for the equation is: y=4/x.…

Q: The curve -2x +7y - 7x – 3y = 6 is shown in the graph below in blue. Use the graph below to draw…

A: The slope of the tangent at a point on the curve, y=f(x) is equal to the first derivative of the…

Q: For the curvey ax + bx- + 12x - 7. what values of a and b will make the tangents to the curve at x =…

A: We have to solve the problem

Q: The equation of a curve is y = x + 2cos x. Find the x co-ordinates of the stationary points of the…

A: The given equation of the curve is  y = x + 2cos x

Q: ind the curve that has slope (x+1)^2 and that passes through the point (−2 8)

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Q: The curve x² - 5y³ + 5x – 2y = -6 is shown in the graph below in blue. Use the graph below to draw…

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Q: For the curve y = ax3 + bx2 + 12x - 7, what values of a and b will make the tangents to the curve at…

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Q: 8.1 PLEASE TYPEWRITTEN FOR UPVOTE. SHOW YOUR COMPLETE SOLUTION.

A: To find out the family of curves whose slope is given.

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: (a) Find all the points on the graph of (x² + y²)² = x² – y² that have horizontal tangent line. (b)…

A: a)  we need to find all the points of the graph that have a horizontal tangent line For that, let…

Q: Some of the curves corresponding

A: The differential equation can be solved by isolating the variables. The value of the constants…

Q: 2 The point P(4, -2) lies on the curve y = 3 - x find the slope of the secant line PQ (correct to…

A: We will find the slope

Q: The graph of y = f(x) (solid) and its tangent line at ( – 5, – 3) (dashed) is shown. - 10+ 7- 6+ 2-…

A: Graph of the function and its tangent line is given, we have to find the required values

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: 3. The point P(2, -1) lies on the curve y- 1/(1 – x). (a) If Q is the point (x, 1/(I– x)), use your…

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Q: 3 The point P(3, -3) lies on the curve y = 2 - x 3 (a) If Q is the point (x, find the slope of the…

A: Recall: Slope of the secant line of two given points  x1,y1 and x2,y2 is given by  y2-y1x2-x1 .

Q: Find the linearizations of sec x at x = -π/4. Graph the curves and linearizations together

A: Given function is secx and we have to find linearization at x=-π4. Linearization of a function is…

Q: (a) Find an equation of the tangent line to the curve y = 14/(1 + e-X) at the point (0, 7). (b)…

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Q: Find the points on the curve y=2x3+3x2-12x+1 the tangent is horizontal.  0 (Hint: tangent is…

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Q: Suppose the slope of a certain curve at any point (x,y) is The curve is a(an)

A: slope of a certain curve at any point (x,y) is -xy.

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: 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: 2. Find the slope of the curve y 3x +1 at the point (-0). Draw the graph of the curve. KIVERSIT TLOU

A: Solution:Giveny2=3x+1  at -13,0To find Slope of the curve and Draw a graph of the…

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

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Q: 5-x 8. Find the family of the curve whose slope at any point is y-3 passes through the point (2, 1)…

A: Given that slop of curve is (5-x)/(y-3) We know slope is dy/dx . Some formulas  (i). Integration of…

Q: 5x-2 Find the member of the curve whose slope at any point is y+s point (3, 2) and passes through…

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Q: ind the slope of the curve y^2 = 3x + 1 at the point (−1/3, 0). Draw the graph of the cu

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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: The curve y=ax² +bx+c_passes through the point (1,2). The line y=2x+1 is tangent to the curve when…

A: We have to solve

Q: 3 The point P(9, -3) lies on the curve y 8 - x 3 (a) If Q is the point (x, find the slope of the…

A: the m slope of the secant line passes through point A(x1,y1) and B (x2,y2) is given as m=y2-y1x2-x1…