ere it crosses the y – axis.

Q: . Find the lines that are tangent and normal to the curve at the given point x² + y? = y* - 2x,…

A:

Q: For the curve given by x=t^2+t-2,y=t^3-2t-1, find the slope and concavity at the point (4 , 3).

A: In order to find the slope at point we need the value of t (the parameter) which is missing in the…

Q: Given the x²-xy +y² = 9 %3D Curve Write general expression for the Slope curve.

A: The given equation of curve is x2-xy+y2=9. Differentiate both sides of the above equation with…

Q: Find the curve given by x = vt and y =(? – 4), t 2 0 find the slope and concavity at the point (2,…

A: Here, the parametric curve is given by: x=t, y=14t2-4, t≥0

Q: Differentiate implicitly to find the slope of the curve at the given point. x5y5 = 32; (2, 1) O 16…

A: Hence option (b) is correct.

Q: Locate the points of inflection of the curve y = (x^2)(e^x) * -2± /3

A: Solve the following

Q: Differentiate implicitly to find the slope of the curve at the given point. y + yx? +x? - 3y? = 0;…

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Q: Find the slope of the curve Y = Vx at the point P (4, 2).

A:

Q: .3 ax when x= For what values of a and b is the line -3x + y = b tangent to the curve y 4? b

A:

Q: For the curve given by x = vt and y =÷(t² – 4), t 2 0 find the slope and concavity at the point…

A: Given, x=t x4=t2 and y=14t2-4 we also write it as, y=14x4-4 Slope:-  y'⇒x3 at point (2,3)…

Q: The curve for which y'' = 6 has a slope of –3 at its point of inflection (2, 3). Find the value of y…

A: y''' = 6 Implies, y" = 6x + a, where, a is a constant. &, y' = 3x² + ax + b, where, b is a…

Q: Find the values of k for which the line y+ kx – 2 = 0 is a tangent to the curve y = 2x? – 9x +

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Q: Find the slope of a line tangent to the curve of the given equation at the given point. y=(x^3)/4;…

A:

Q: B. Find the slope of the curve at the given point. 1.) y = x? – 5 at (1, -4) 2.) y = 3x? – 4 at (0,…

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Q: The line y = 2x + b is tangent to the graph of y = 1x at the point P = (a, 1a). Find P and determine…

A: Given: The line y=2x+b is tangent to the graph of y=x at the point Pa,a. To find P and determine b.…

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

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Q: Find the length of the curve. y=1/6(x^2+4)^3/2, 0 less than or equal to x less than or equal to 2

A: Find dy/dx of the given function

Q: For Y=6X tangent what Poin t o フ the curuee Xモーンメタニト ea ual is the slope Of line to ーレ3

A:

Q: For what non-negative value of b is the line given by y = -x + b normal to the curve y А. 0 В. 1 С.…

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Q: 3. Find the values of x of the curve y = 3x where y' = y" 15

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Q: y-e-x4cos4x ស

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Q: Find the slope and concavity of the curves at the given points. r = eθ, θ = 0, π

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Q: Given x=t+1 and y=t2, find the slope of the associated graph at the point (2,1)

A:

Q: 13. Find the equation of the line with slope equal to 1 and normal to the curve x2 + 3xy +y? = 5 at…

A: GIVEN: curve is x2 + 3xy + y2 = 5

Q: Determine the slope of the curve y= e^4x at the point x=O? * 1 -4

A:

Q: rèstion 12 At the given point, find the slope of the curve or the line that is tangent to the curve,…

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Q: Find the exact lenght of the curve. when 0 is less x and x is less than or equal to 1 y=2+2x3/2

A:

Q: find the slope of the curve at the point indicated.

A: We have to find out the slope of the curve at the given point. y=1x-1 , x=3 for the slope we have to…

Q: At the given point, find the slope of the curve or the line that is tangent to the curve, as…

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Q: Sketch the level curve of the function h(x, y) = y? - a? for c = 25.

A: Here we have to sketch the level curve.

Q: At the given point, find the slope of the curve, the line that is tangent to the curve, or the line…

A:

Q: Given that y" = 2x, find the value of y when x = 3 if the curve passes through the point (-1,); and…

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Q: Q5) find the slope of tangent to the curve at the given points: y? + x? = y* - 2x at (-2, 1) and…

A:

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: Find the x-coordinate of the point where the curve y = x3 - x crosses the horizontal line y = 1.

A: Given:                                 y=x3-x and y=1  Let                                y=x3-x…

Q: 3. Determine the slope of each of the followir (a) y=x at x = 3 (b) y=x + 4x – 3x + 2 at x = 2 (c)…

A:

Q: ) ay The Jine tangant Find -he slope to The curve y=l-ax+ 1 at x= 1 (a) 1 O b O a O d

A: Slope of a tangent line is derivative of function at that point.

Q: Find the slope of the graph of y : r (t) = (2t² +1, 3t – 1) at t=1.1. Your answer has to be numeric,…

A:

Q: If y=mx+b is the equation of the tangent line the curve y=x2-3x+5 , which is parallel to the secant…

A: Proceed as shown

Q: Determine the equation of the curve whose slope at any point is equal to and which passes through…

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Q: Find the equation of the lines tangent to the curve x2 + y2 = 4 and parallel to the y-axis ? O A. X…

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Q: Differentiate implicitly to find the slope of the curve at the given point yA + x3 = y? + 12x; (0,…

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Q: Find the sketch of the level curve flx, v)cform and f(x,y)-/100-x-y and c 0. O a. O b.

A: We want to find out the sketch of the given equation.

Q: For what values of x do the tangents to the curves y = (1 +x')² and y = 2r6 have the same slope? X =…

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Q: 49. Find the slope of the curve y = (2x2 - x+ 3)(x + x+1) at (1, 12).

A:

Q: 9. What is the slope of the curve at the given point? 5x? + 2xy – y = -3 at (,2)

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Q: . Given the relation x2 – xy + y3 = 11, determine the slope of the line tangent to the curve at…

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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: B. find the slope of the tangent to the curve at the given point 1. y= x-6, (1, - 2) 2. y = 3x -5x.…

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Q: At the given point, find the slope of the curve, the line that is tangent to the curve, or the line…

A: Given y6+x3=y2+12x To find the slope of the curve , take derivative Given point is (0,1)