.3 The curve y = ax + bx? + cx + 5 touches the x -axis at P(-2,0)and cuts the y-axis at the point Q where its gradient is 3.Find the equation of the curve completely.

Q: 1 ) Find the equation of the curve for which   y” =  6x – 4 and which passes through (1,2) and (-2…

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Q: 13. Find an equation of the curve that passes through the point (1, 1) and whose slope at any point…

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Q: Q2: The equation of the tangent line to the graph of y=r2 and t=4x² at t=1 is (not that x is…

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Q: 5 Find the equation of line tangent to the curve y= X+- at point P(1,3) А) 4x +у-7- 0 B None of the…

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Q: 18,8grt(10)) 10 f(x) = V2x – 2 compute the instantaneous slope at: (6, v10) Start with two points A:…

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Q: h (x) = [ƒ (x)P + g (x), what is the equation of the line tangent to the graph of h at x=-1?

A: Given,           hx=fx2+gx

Q: फ 1/2 Determine the equation of the axis of the curve of the following trig function. ● a) y = -1 ©…

A: Please see the below picture for detailed solution.

Q: (i) Find the values of k for which y= kx + 2 is a tangent to the curve y= 4x2+ 2x + 3.

A: If y = kx +2 is tangent to the curve y=4x2+2x+3, then the point of intersection of the line and the…

Q: 3. Find equation of the curve whose slope at any point is equal to 1– and which Inx x In x passes…

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Q: 1.10 Find an equation for the tangent to the curve, y = x –x² at the given point, (–1,–2). y = -3x +…

A: We have to find the equation for the tangent line to the given curve.

Q: 1 Find the points at which the graph of the equation 4? + y² – 8x + 4y + 4 0 has a vertical or…

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Q: 4. What is the slope of the curve of f(x) = v2x + 1 at x = 4? а. 3 b. - с. d. ! e. None of the above

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Q: tangent to the curve x^3 +x^2 y + 4y - 1 + 0 at the point (3,-2) has a slope equal to: a. -13/15…

A: We will find the slope.

Q: Which is the equation of the tangent line to the curve x +xy = 4+ y² at the point (4,6)? a) y-6=3(x-…

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Q: 12. FOR THE FUNCTION f(x)=(x+2)e* WHAT IS THE EQUATION OF THE LINE TANGENT TO THE CURVE AT THE POINT…

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

Q: Q1:Find an equation for the tangent to the curve at the given point. 1.y=2v (1,2) 2.y = (x– 1)2 + 1…

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Q: 6. Find the equation of the curve whose slope at any point (x,y) is xy and which passes through the…

A: 6. We know that the slope of the function is defined as dydx given that xy Therefore, dydx=xy or…

Q: 1) Given the curve 2x? + y3 = x3 + y? find the x-intercept of the tangent line at the point (2,1)

A: We find dy/dx using the implicit differentiation and we plug x=2 and y=1

Q: Differentiate implicitly to find the slope of the curve at the given point. y³ + yx2 + x² - 3y2 = 0;…

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Q: An equation of the line tangent to the graph of f(x) = -x(1 – 2x)³ at the point (1,1) is a. y = -7x…

A: f(x) = -x (1-2x)3  f'(x) = -3x(1-2x)2 (-2) + (1-2x)3 (-1) f'(1) = 6(-1)2 +1 f'(1) = 7   Slope m = 7…

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: 3) Find all points (x, y) on the graph of x2/3+y²/3 = 8 where the tangent lines have slope –1.

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Q: What are the control points of the splines Bezier curve from the two equations given below: a(x) =…

A: Given, ax=1+5x2+2x3...1bx=1-x+x3...2 The control points are lie on both the curves. So, to get…

Q: Consider the following. a) Verify that the given point (7,7) lies on the curve. x3 + y3 = 14xy b)…

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Q: 20. Find the equation of the curve for which y" = x, and which passes through the point (1, 2) and…

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Q: For what value(s) of x does the slope of the line tangent to the curve y=-x'+3x +1 take on its…

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Q: Q2: The equation of the tangent line to the graph of y=1² and 1=4x² at t=lis (not that x is…

A: Topic:- application of derivatives Notes:- as per our guideline if more than one question uploaded…

Q: 1. Find the equation of a curve that passes through the origin and satisfies (1 + x²)y' + 2xy = 4x²

A: Given differential equation is  1+x2dydx+2xy=4x2 Simplify the given differential equation we get…

Q: Q2: The equation of the tangent line to the graph of y=t² and t = 4x² at t = 1 is (not that x is…

A: This question can be solved using the concept of equation of tangent to a curve at a given point.

Q: Q.NO.2: a) Find the equation of the orthogonal trajectories of the family of curves. x²y² = 4c²

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Q: Find the slope of the following curve at x = 4. 1 y = х- 2 The slope of the given curve at x= 4 is

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Q: 19. For what values of the constants a and b is (1, 3) a point of inflection of the curve y = ax³ +…

A: Consider the value of y and solve:

Q: 1. Find the equation of a curve that passes through the origin and satisfies (1+x²)y' + 2xy 4x2

A: To find the equation of the curve

Q: 20. Find the equation of the curve for which y" =x, and which passes through the point (1, 2) and…

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Q: A curve having an equation y = ax? + bx2+ Cx + d has a critical point at the origin and a point of…

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Q: obtain a slope field and add to it graphs of the solution curves passing through the given points.…

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Q: B. Find the slope of the curve at the point indicated. 1. y = at x = -1 4-x2 %3D 2x+3 2. y = xv1 +…

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Q: 6. Consider the curve 5x - xy + y =7. The slope of the line tangent to the curve at the point (1,2)…

A: To find the slope of the line tangent at the point (1,2) is substituting the point in the dy/dx . We…

Q: 20. Find the equation of the curve for which y" = x, and which through the point (1, 2) and the…

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Q: At what point (s) is the tangent line to the curve y²=2x³ perpendicular to the line 4x-3y+1=0

A: Given y2=2x3⇒ y=2x3

Q: At the two points where the curve x2 - xy + y2 = 36 crosses the x-axis, the tangents to the curve…

A: x2-xy+y2=36

Q: Find y' and the slope of the tangent line to the graph of (3x - 4y)7 = 2y2-7 at the point (3,2).…

A: The slope of equation is defined in terms of m=dy/dx

Q: Riemann sits on the line normal to the curve y=x2 -3x+2 at x = 1

A: Given           y=x²-3x+2 and x=1  Slope of the curve is given by =dy/dx

Q: d?y =6-9x and which passes through the points (0, -1) and (2, 3). Find the equation of the curve for…

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Q: 11. Find the slopes of the curve y y?- r2 at the two points shown hcrc. 2 (V3 = y2 - x?

A: we have the curvey4=y2-x2

Q: Find the equation of the curve for which y" = x, and which passes through the point (1, 2) with a…

A: NOTE: Refresh your page if you can't see any equations. . take integration  ...............(1) at…

Q: Does the graph of S0, x< 0 U(x) = 1, x2 0 have a vertical tangent line at the point (0, 1)? your…

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Q: 14. Find the orthogonal trajectories of the family of curves 1 y =- (x + k)³ (a) y = (3x+ C)/7 (d) y…

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Q: Consider the curve in the xy-plane represented by the two equations below. The slope of the line…

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