Q6. Find ranges of values of x for which the curve y = x* +8x - 126.x² – 11x +187 is concave upward or downward. Also find the points of inflexion of the given curve.

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: Q3 The curve intersect with X-Axis y=x x=0 y=0 O y>0 O

A:

Q: A molecule is moving along the x-axis such that at any timet 2 0 (in seconds), its position from the…

A: Find your answer below

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

A:

Q: Q4) Determine slope of a curve y = x* +1 at x = 1

A:

Q: If  f ″ ( 2 ) = 0 , then  ( 2 , f ( 2 ) )  is an inflection point of the curve  y = f ( x ) . True…

A: Point of inflection is a point on the curve where the concavity changes. i.e. second order…

Q: Sketch the level curve for f(x, y) = 36 – 9x? – 12y2. '36— 9х2 —

A: Given function f(x,y)=1236-9x2-12y2

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

A: topic - derivatives and linear equation in two variables

Q: For the function y = ax3 +bx2 +cx , there is a point of inflection at (1,-3) and the slope of the…

A: We find the second derivative using the power rule Given that, at x=1 there is a point of…

Q: For the curve f (x) = -2(3)" +3, the y-intercept occurs at:

A: We know that as y intercept x=0.

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

A: We need to find the slope of the curve at the point indicated, y=5x-3x2,x=1

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

A: The equation of the curve is  2y2 = ax2+b…

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

A: Explanation of the answer is as follows

Q: 3. Find the points of inflection: y = x- 2cosx

A: We have to find inflection point

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

A:

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

A:

Q: 2017 F Q2 Find the set of values of k for which the line y = 3x + k and the curve y= 2x- 3x + 4 do…

A:

Q: 3. Find the points of inflection: y = x-2cosx

A: Explanation of the answer is as follows

Q: The x coordinate of the point of intersection between the two curves y = e14 and y = 1 is =0 (Write…

A:

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

A: We have to solve the problem

Q: Find a possible point of inflection of the curve y x +3x2 + 6x

A:

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: The slope of the oblique asymptote to the curve f(x) = x +11 corresponds to

A: folllow the procedure given below.

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: A molecule is moving along the x-axis such that at any time t 2 0 (in seconds), its position from…

A:

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

A:

Q: Find the point of inflection of the curve x^3 – 3x^2 –x + 7.

A: For inflection point, second derivative is zero

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 at the indicated point. y = x2 + 3x - 5, x = 2 O m = 7 O m = 2 m = 10…

A:

Q: Q6. Find and classify the stationary points and the points of inflexion on the following curve. y =…

A: Stationary point of a differentiable one variable function: It is a point on the graph where…

Q: Determine the critical points of the curve y = x³ – 5x2 - 36 x + 25.

A:

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

A:

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

A:

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: The inflection point of the curve x3 y = V7 -x² + 10x + 97 2 6

A:

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

A:

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

A:

Q: Q4 (a) Find the extreme values of the given function y =x* – 3.x² +3x -2 (b) Find the point of…

A: Given, y=x3-3x2+3x-2to find extreme values off the function.we do derivation test,…

Q: 14. Find the slope of the curve y = 2x3 – 3x at (-1 , 1)

A:

Q: Find the following points of intersection.

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

Q: Find the point in the curve y = x³ + 3x for which y' = y'

A: Roots of y' problem....

Q: 2а3x at (a, a) ,2 x2+a²

A: Given curve is,

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…

A:

Q: Find the equation of line (L) that passes through the intersection point of che two functions y = v2…

A:

Q: Two is the slope of the curve y = 4x + x2 at what point?

A: Slope of a curve is given by m=dydx  Use this formula to solve above question.

Q: Find the y-intercept of the line tangent to y=(x' – 4x² + 8)en * at x = 2. а. -21.032 b. -2.081 с. 0…

A: Topic:- Application of Derivative  Correct option = d

Q: Q4: Find and classify the extreme points of f (x, y) = 3x?y + y3 -3x2- 3y2 +2.

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

Q: Locate the inflection points of the curve y = e²x²

A: The given curve is y=e2x2. The first derivative of y=e2x2 is, y'=ddxe2x2=2xe2 The second derivative…

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

A: