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 not intersect.

Q: Where does f(x)=x³-3x²+2x -7h have tangent lines that are parallel to y 2x-7? Selected Answers:

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

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Q: Determine whether there exists a constant c such that the line x + cy = 1: passes through (3, 1).

A: We have to determine the value of constant c such that the line x+cy=1 is passing through the point…

Q: Consider a manufacturing firm that occupies one hectare of land. The firm trans- ports over half of…

A: According to the given information, it is required to draw the firm’s bid rent curve for x=0 to…

Q: One of the stationary points of the function y = 4z5 – 6z + z2 - 2 is (-1,1 Is this a maximum or…

A: Given: One of the stationary point of the function y = 4x5 -6x3+x2 -2 is (-1, 1). To find: Is the…

Q: Find the slope of the secant line connecting the points on the graph f(x)=2h+4x-12, with the given…

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Q: (X- At which value does the function g(x)= 3x^4 - 4x^3 attain a the minimum value? Type answer as…

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Q: Calculuate the length of the curvey = 4√2 3 3|2 within the interval of 0≤x≤ 1,

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Q: Q2. Use Lagrange Multiplier to find the point on the circle: x² + y² = 45 that are closest farthest…

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

A: Position of molecule from the origin at any time t is given as:

Q: Suppose that |(3x4-x2) dx=Ax+Bx³+C, for constants A, B, C. What is the value of C if the curve…

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

A: We have to find inflection point

Q: Q9- Find the turning points of the function f(x,y)=x^2+ 2xy and state whether the points are max,…

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Q: At what interval is y= 2x3-3x2- 36x + 14 increasing? Decreasing?

A: Question is solved.

Q: Q4) find the relation between x,y such that the point (x,y) is equidistant from the points * ?((7,1)…

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Q: Q4. Find the maximum and minimum value of fusing Graphical method, where f= 25x, -16x, subjected to:…

A: Consider the given function. f=25x1-16x2 And the subject is defined as,…

Q: S(r) = -x² + 2r + 15 What is the minimum or maximum of f (x) (put "0" if there is no minimum or…

A: Given function is fx=-x2+2x+15. To find the minimum or maximum of fx. Solution: Given function is…

Q: a. What is the maximum or minimum point for the curve y = x² - 4 b. What is the maximum or minimum…

A: Given  y = x2-4    .............. (1)  To check local minima or local maxima, we have to…

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

A: Explanation of the answer is as follows

Q: Determine the maximum r-values of r-7cos4e. 8- 0. * 3x 3x e= 0, e= 0, .

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Q: -2 Write the equation for the linear approximation of g(x) = In(vr² +5) based at x =-2. Justify your…

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Q: Addison and Kelsey are running on a path modeled by x² + y²-14x-16y-2870, where the distance is in…

A: Follow the procedure given below.

Q: Determine the point(s) at which ƒ(x) = x3 - 12x has a horizontaltangent line

A: The points where the tangents are horizontal are the points at which slope is zero.That means,…

Q: A consultant advises the owners of a beauty salon that their profit p each month can be modeled by…

A: The profit p(x)=-50x2+3500x-2500

Q: z = x? + xy +y2 - y

A: Given  Z = x2+xy+y2-y                ..... ( 1) Differentiating equation 1 w r t x ∂Z∂x= 2x+y…

Q: The consumer demand curve for Professor Stefan Schwarzenegger’s dumbbells is given by q=(118-2p)^2,…

A: given: The consumer demand curve for Professor Stefan Schwarzenegger’s dumbbells is given by…

Q: Q. 4 Find the absolute maximum and minimum values of f(x) = x³ + 5x2 – 7x over the closed interval…

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Q: A particle is moving in a straight line according to the linear position function s(t) = t3-6t2+9t,…

A: Given s(t) = t3-6t2+9t

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

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Q: 1. Solve the difference x²-2x-8 <0. 2. Calculate the minimum distance from the origo to the line y =…

A: Introduction: When the product of two real quantities is positive, either both of them are positive…

Q: Which is an equation with a degree of 4, zeros located at (4, 0) and (3, 0) and a y-intercept…

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Q: The quadratic function y = ax2 + bx +c pass through (2, 1) and tangent to the line y = 2x + 4 at (1,…

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Q: Locate the critical points and determine whether maxima, minima or inflection point. b. у %3D (x —…

A: Here we will find critical points and determine maxima, minima or inflection point,

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: 24. Find the point of inflection of the curve x3 – 6x2 + 2x + 14.

A: Using formula of point of inflection of the curve.

Q: Find the maximum value of f(x,y) = 13 – x -y on the line x+ 2y = 5.

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Q: Parameterize the following curve 9x 9x^2 + 4y^2 = 32y -54x-109

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Q: Find the maximum value of f(x,y) = 14-x² - y² on the line x + 3y = 10.

A: Solution of given question is written in below steps.

Q: 01. What is the point of the minimum of the function y = 4x? + 4x – 15? А. (0.5,-16) В.(-0.5,-16) С.…

A: Given:- y= 4x2 +4x –15 Find the point of the minimum of the function Now, Let the point are (x, y)

Q: What is the minimum of the function y = -x° + 3x for x <-1? -4 O-2 4. O 2

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Q: 3.Find the coordinates of the points on the curves y =x3 -3x2-12x+10 with the gradients -2.

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Q: Find the maximum of Q=xy if x+y= 56. The maximum value of Q is Q =

A: Given that x+y = 56 And Q = xy We have to find the maximum value of Q.

Q: What is the minimum of the function y = –x° + 3x for x < -1? O 2 O-4 4 O-2

A: We can solve it graphically. Graph of f for x&lt;=-1:

Q: Find the point at which the line f(x) = - 3x +8 intersects the line g(x) = -5z + 16 %3D %3D

A: Given f(x)=-3x+8 g(x)=-5x+16

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

A: Roots of y' problem....

Q: Find the point P on the line y = 5x that is closest to the point (52,0).  What is the least distance…

A: Given:The equation of the line is y = 5x.(52,0) is the closest point to the point P which line on…

Q: Find the point P on the line y = 5x that is closest to the point (52,0). What is the least distance…

A: Given that point P lies on the line y=5x. We need to find : i) the point P on the line y=5x that is…

Q: f(x) = avbx – c - the x -axis and the line x = 17 using Trapezoidal Rule with 6 equal intervals if a…

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Q: Q4: Find the distance from the origin point to the line x-2y-1 %3D

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Q: (b) Use the result of part (a) to find the direction in which the function f(x, y) = x³y - x²y4…

A: Given: