2. Find the domain and range of y =

Q: The table below gives the stopping distance y (in 100 meters) for a train traveling on a track at…

A: Given data: The given table is, speed, x(mi/h) 50 55 60 65 70 75 80 85 90 Distance,y (100 m) 20…

Q: Find the domain and range of: 1) y= HE

A: As per the instruction, we will answer only one question. For (1), We need to find the domain of y =…

Q: Trace the curve x3y − x − 1 = 0.

A: Given, The curve x3y-x-1=0 We have to trace the curve.

Q: Q3: Find domain and Range. 1 y = Vx- |x|

A: Here we find domain and range of given function.

Q: If y satisfies the given​ conditions, find​ y(x) for the given value of x.

A: Given, y'(x)=dydx=9x,y(9)=65

Q: + The Range of y [2x + 1] is Z. TO FO

A:

Q: t(x, y) x² + y?

A:

Q: Trace the curve x3 – 6x2 +11x – y = E %3D

A:

Q: Find y' if y=-csch^-1(e^x)

A: We have to find the derivative of y=-csch-1(ex). At first we find ddxcsch-1x.

Q: The Range of y = [2x + 1] is Z, F O

A:

Q: Determine the y-intercept of the following equation. (x – 5)(x – 1) = Y (-5,0) and (1,0) (5,0) (0,…

A: Given x-5x-1=y

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

A:

Q: Find the slope of the secant line between the values x1 and x2 for each function y = f (x). f (x) =…

A:

Q: eliminate the parameter to find an explicit equation for y as a function of x.  x=4 - 2t, y=5 + 3t

A: x=4-2t x+2t=4 2t=4-x t=0.5(4-x)

Q: If xy+y^3= 1, Find  the value of y" at the point where x=0

A: To find the value of y at x=0, substitute 0 for x in the equation xy+y3=1 and simplify.…

Q: Trace the curve x^3 − 6x^2 + 11x − y = 6.

A: Given- x3-6x2+11x-y=6 To draw- The graph of the above function. Concept used- The above expression…

Q: Determine the y-intercept of the following equation. (x – 1)(x + 3) = Y O (-3, 0) (-3,0) (0, 1) and…

A: Put x=0 on the equation and the find the value of y

Q: Find the domain and range of f(x,y) = e* + /y + 2

A: We can find the answer given below

Q: If x² + xy + y3 = 1, find the value of y"' at the point where x = 1. y"' =

A:

Q: What is the value of y?

A:

Q: x

A:

Q: If x2 + xy + y3 = 1, find the value of y'' at the point where x = 1. y"':

A: The given question can be solved as shown in step2,

Q: Find the equation of the line that is the image set of the flattening  f (x,y) = (4x - 2y, 2x - y)

A: Solution

Q: fird the equation of the fangent lineto the graph of Y= ☆ at X=2

A:

Q: Find the domain and range of the function f(x,y) = √√y − 4 + x2

A: Given: Domain: We must have y-4>=0 and x to be not equal to 0. So,          Domain = -∞, 0∪0,…

Q: If x2+xy+y3 =1, find the value of y" at the point where x=1.

A:

Q: Trace the curve: y= x / (x-1) (x+3)

A: Consider the given function y=xx-1x+3

Q: Find the domain and range of y=f(x)

A: To find the domain and range of y=fx

Q: What is the domain and the range of y = sec x?

A: y=sec x or y=1cos x∴ sec x is undefined at cos x=0cos nπ+π2=0   ∴ x≠ nπ+π2 Thus, the domain of the…

Q: Find the slope of the graph of the function at the given point.

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: State the range of f (x) 1 3x+4 = 4 {y e R]y± - } O {y e R|y>0 } 4 {y e R|y> O {y e R|y#0 }

A:

Q: Define h(x)= x3-x2-9x+9  Find the positive x value for which the slope is equal to 1.

A: Given that Define h(x)= x3-x2-9x+9  Find the positive x value for which the slope is equal to 1.

Q: At what point of the curve y = x3 + 3x are the values of y’ and y” equal?

A:

Q: what is the range of h(x,y)=ln(x+y-5)

A:

Q: Find the value of h,if the slopes of the lines representedby 6x +2hxy +y = 0 arein theratio1:2.

A: As we know that, the equation for the pair of straight-line passing through origin is: y-m1xy-m2x=0…

Q: If fx) =vx+2, and g(x) =f(x), find the slope of the curve g(x) = f -1 (x) at the point (2, 2).

A:

Q: A) Find the Range and the Domain 1 1. y = x+1 2. y = J %3D 3. y x2 +1

A: 1. y=1x+1; the denominator can't be zero.so we can have all real values for x as domain except…

Q: Suppose that y varies directly with x, and y= 16 when x=-2.

A: Given that y varies directly with x.

Q: Find Domain and Range. 1 y = - Vlx| – x

A: Find domain and range of given function. The domain is that the set of all possible input values…

Q: If  x2 + xy + y3 = 1,  find the value of  y'''  at the point where  x = 1.

A:

Q: Use the indicated x-values on the graph of y = f(x) to find the following. y C

A:

Q: Find the slope of the graph of the function x2+y2=xy+1/4 at (1/2 , 1/2)

A: Given function is Differentiating both sides with respect to x, we get

Q: Create a sketch, marking points of interest. Y = (1/6)(x-2)(x+3)(x+4) Y = -3(x-1)(x+1)(x+2)(x-3)…

A:

Q: Trace the curve: y^2 = 4x^2 / (x+5) (x-2)

A: We want to plot the graph ofy2=4x2(x+5)(x-2)=>y=4x2(x+5)(x-2) The above expression exists…

Q: y = (x-5)(x+1)

A: Given equation of curve y=x3(x-5)(x+1)                   (1) We have to trace the curve of above…

Q: The range of y = sec x is ________.

A: The range of y = sec x is ________.   Cosine function only takes values that are between -1 and +1.…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.