Find the set of values of k for which the line y=3x-k does not meet the curve y= k?+1lx-6.

Q: What is the families of the curve of all straight lines through the fixed point (h,k).

A: The differential equation representing the families of curve of all straight lines through the fixed…

Q: The point on the curve y = 2-x nearest to (3,2) is (1,1) (0,2)

A:

Q: Determine the values of x where a curve y = x3 - 3x2 - 9x+ 12 has horizontal angent lines.

A: Given,         y=x3-3x2-9x+12

Q: Find the length of the curve defined by Y = 3x³/2 + 3 from x :3 to x = 9.

A: Question: Find the length of the curve defined by y= 3x^3/2 + 3 From x=3 to x= 9

Q: Find the point of inflection of the curve y = x^3 - 6x^2 - x + 12. (-2,6) (2,-6) (-2,-6) (2,6)

A: We have to find point of inflection of given function.

Q: Find the equation of a line normal to the graph of y = 3x+5/x−1 at x = 3

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Q: Find the points of intersection of the line y = 5 x with the curve y = 3 x + x^2

A: In order to find the point of intersection of given line line and curve , we must find values where…

Q: Find the exact length of the curve. 글 cosh(2x), sxs8 y = 4 +

A: Given:

Q: The slope of the curve y=ax3-bx2-cx-3 at x=2 is 5. If the point of inflection of the curve is at…

A: The slope of the curve y=ax3-bx2-cx-3 at x=2 is 5. If the point of inflection of the curve is at…

Q: What is the length of the curve y= x3/2+4 from the point (1,5) to (4,12)?

A: Arc length is defined as the distance between two points on the curve. It is done in such as way…

Q: Find the slope of the line normal to the curve y = x³ - 2x +1 at x = 2 -

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Q: Find the length of the curve defined by 2? = 2y3 from x = 0 to x = 4:|| %3|

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Q: Find the slope of the curve 1 at the point P (2, ;).

A: Explanation of the answer is as follows

Q: Find the point on the curve y = /2x + 3 which is closest to the point (5, 0).

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Q: Find the length of the curve defined by y = 3z3/2 - 3 from x = 3 to a = 9. The length is

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Q: The slope of the curve y- xy- 3x = 1 at the point (0, -1) is а. 1 с. -1 b. 2 d. -2

A:

Q: Find the equation of the family of curves whose slope at any point (x,y) is 3x2+4

A: To find: the equation of the family of curves whose slope at any point (x,y) is 3x2+4  We know that…

Q: Find the equation of the family of curve whose slope at any point (x,y) is (x+1)/(y-1)

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Q: Write the equation for the curve that has slope of 2y/x for each point P(x,y) on it and passes…

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Q: Find the equation of the curve that passes through the point (3, 2) if its slope is given by y = dy…

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Q: Find the slope of the curve y=x4 at x=3.

A: Find the slope of the curve y=x4  at    x=3.

Q: Find the member of the curve whose slope at any point is 2e** and passes through the point (0, 1)

A: We need to find the member of the curve whose slope at any point is 2e^(4x) and passes through…

Q: Find the set of values of y=2x+k meets the curve y=1+2kx-x² at 2 distinct points?

A: Given: y=2x+kat 2 distinct points

Q: Find the eqaution of the curve that passes through (0,1) if its slope is given by y'=1/2X at any…

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Q: Find the slope of the curve at the given point. 2y5+9x9=7y+4x at (1,1)

A: The given curve is,

Q: Find the slope of the curve y =x + 2x^(-1) at point (2, 2). Select the correct response: 1/4 2 3/4…

A: We have to find slope of the given curve.

Q: Find the slope of the curve at the point (2,3) * x³ 2x + 1 3/2 1 O 1/2 O 1/4

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Q: End the Vellue of g) if the slope of the Curve y= x-2x is (2)?

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Q: The curve is given by 2 + 1), 0<x<3. 3

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Q: The line y=3x+6 is tangent to the graph of y = (-48)/(x-6) at the point ?

A: The given equation of tangent is y=3x+6 and its tangent to graph of y=-48x-6. To find the points at…

Q: The slope of the curve y=x' +3x² – 6x +5 at (1,3) is -

A:

Q: a. The curve y=4x-x and the lines y=0, x=1 and x=3.

A: Due to our guidelines we can answer only one question at a time, therefore I am answering first…

Q: Find the length of the curve defined by y = 4x3/2 + 11 from x = 2 to x = 8.

A: We will differentiate the function and use the arc length formula.

Q: What is the slope of the secant line that intersects the graph of h(x) = 16 – z at z = l and a = 4?

A: The slope of the secant line or any other line can be defined as the rise to the run ratio which is…

Q: Find the slope of the curve at the given point. y3= x3/2a-x   at (a,a)

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Q: find the length of the curve y = 2x6+1/8x2 from x is greater than or equal to 1 and less than or…

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Q: Determine the length of the curve x = (y-1), where 4 <y <9.

A: Now differentiating given curve with respect to y, we get

Q: Find the equation of a line normal to the curve x^2=16y at (4,2).

A: Solve the given problem.

Q: The slope of the line tangent to the curve y = x*- 8x3 + 22x² – 24x + 9 at x = 1 is _.

A:

Q: For what values of c is there a straight line that intersects the curve y = x' + cx' + 12x² – 5x + 2…

A: Given the equation of a curve , y=x4+cx3+12x2-5x+2. To find the value of c such that there is a…

Q: What point on the curve y = x is closest to the point (5, 0)?

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Q: B. Find the slope of the curve at the given point. 16. 2x²-3x+1 at (2, 3) 17. =3x²-2x+1 at (-1,6)…

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Q: Find the following points of intersection.

A: Given that, y=42xy=2x2

Q: Find the length of the curve x = et - t, y = 4et/2, -8 ≤ t ≤ 3.

A: Consider the following: Given parametric equations are: x=et−ty=4et2−8≤t≤3

Q: find an equation of the tanfent line to the curve at the given point y = 4x – 3x², (2, –4)

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Q: Find the point of inflection of the curve y= -x^3+x^2-x+1

A: The expression for the curve is given as, y=-x3+x2-x+1 The expression for the point of inflection…

Q: Find the exact length of the curve. X=1/3sqrt(y)(y-3), 9 less than or equal to Y less than or equal…

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Q: What is the equation of the curve passing through the (1, 16) and having a slope at any point (x,y)…

A: Given- 2xyx2+3 To find- The equation the curve passing though the (1,16) and slope at any point x,y…

Q: 4) Find the slope of the curve y = 3x + 1 at point P (1,2)

A: We need to find slope of curve at given point.