3. Determine if the equation y-(2x+1) = 1 3D1 is a function.

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.

A: Given: fx=x3+2 and3x-y-4=0 To find the equation of the tangent to the graph of f and parallel to the…

Q: Suppose that for a company manufacturing bluetooth and wireless headsets, the cost and revenue…

A: Given:   C(x) = 32,000+60x and R(x) = 130x-0.001x^2

Q: Find an equation for the contour of f(x, y) = 2x°y+ 8x + 15 that goes through the point (5, 2).

A:

Q: Sally is analyzing a circle, y2 + x2 = 9, and a linear function g(x). Will they intersect?  Yes, at…

A:

Q: Determine whether the equation xy - 5y = 1 defines y as a function of x.

A: Here we determine whether the equation xy-5y=1 defined y as a function of x.

Q: Which of the constants in the equation f(x) = a * x ^ 2 + bx + c can be interpreted geometrically?

A: If x=0 then  f(x)=ax2+bx+cf(0)=a(0)2+b(0)+cf(0)=c This means the point is (0,c). This means the…

Q: If the position function of a moving object is 5(t) t-3t +2 meters from zero in t seconds, then

A: Consider the position of a particle is given by the function x(t). The average velocity of the…

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: Find the point on the graph of the function that is closest to the given point. f(x) = Vx - 6, (15,…

A:

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: Graph the functions in Exercise 35. y = Vx + 4 37. y = |x – 2| 39. y = 1 + Vx - 1

A:

Q: y x3 - 2x*-5x + 2

A: Second Derivative Test : Consider the given function f(x) .Find Critical point , f'(x)=0 (say) 'c'…

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

A: In this question given that two line which are intersect each other and and a line is perpendicular…

Q: The range of the function f(x, y) = 16-4x -9y² is equal to:

A:

Q: Suppose that f is a linear function with slope 4 and that f(2) =  4.   Find the equation for f and…

A:

Q: Find the equation of the line tangent to the graph of y = 2x3 – 8x? + 3x – 6 at x = 1.

A:

Q: does xy=4 describe y as a function of x?

A:

Q: Determine the slope of the graph of 3(x2 + y2)2 = 100xy at the point (3, 1).

A: Given: 3x2+y22=100xy we know that slopem at given pointx1,y1 is given by m=dydx|x1,y1 so, we…

Q: Determine whether the equation defines y as a function of x. x =  |3y|

A: Given,           x =  |3y|

Q: Find the point at which the line ƒ(æ) = 2x intersects the line g(x) = 4x + 12

A:

Q: Find the x-intercepts of the given function.  y = 4 - 2x - x2

A: Our Aim is to find the x-intercept of the function given below:-y=4-2x-x2-(i)For x-intercept we will…

Q: Sketch y = x3 – 1

A: Given y=xx3-1

Q: What are the graphs of the constant functions x = x0, y = y0, and z = z0 in the rectangular…

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Q: Find the point at which the line f(x) = – x – 2 intersects the line g(x) = 3x + 6

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Q: Calculate the point where the functions h(x)=3−3⋅x2 and w(x)=3⋅x+4 intercept. A.) Give its…

A: Topic:- algebra

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

A:

Q: Find the slope of the curve y = 2x* + 3x³ + 2x2 – 1 at a point where it crosses the x-axis

A: y=2x4+3x3+2x2-1 A curve crosses the x-axis at a point where its y-coordinate is zero. Therefore…

Q: Find the equation of the curve whose slope at any point is y+2x

A: We have, the slope of the curve at any point is y+2x. dydx=y+2xdydx+-1y=2x        ⋯⋯1 Clearly, it is…

Q: Find the slope of the curve given by f(x)=x3e4x at the point (-1,-e-4)

A:

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

A: The product of slope of perpendicular lines is -1  and slopes of two parallel line are equal. The…

Q: Find the extreme of the values of the function  y = x2 - 2x + 1

A: Given:y=x2-2x+1

Q: Find the interval where the graph of y = x3 + 2x2 − 4 is decreasing and concave up.

A:

Q: Find the equation of the line tangent to the graph of f(a) 3a+ 2a - 7 - 4 at

A: given…

Q: Determine whether the equation defines y as a function of x X^2-4y2=1

A:

Q: Determine whether the equation defines y as a function of x. 22. Зх — 5у %3D7 23. Зх2 -

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

Q: the growth of bacteria is modeled by the equation Y = 2^ x/3. For which value of x is y = 32 ?

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: Graph the function as a solid curve 1) f(x) =극지•3

A: We have to graph

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: d) Locate and identify the stationary points in the function y = x³ - 4x² + 2x

A: Finding stationary points

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

A: Given functions: y=2-x2y-2x+3=0 Equation of perpendicular line is, 2x-4y=6

Q: does this equation define a linear function y=3/4x when x≠0

A: Linear functions are typically written in the form f(x) = ax + b The graph of Linear function  is…

Q: Find the slope of the curve at the given point. y=2x^3−3x @ (-1,1)

A:

Q: Find y' if 3x2- (ry?) = 2y.

A: Given that, 3x2-xy212=2y3 Find the derivative of the given equation.

Q: Write an equation for a line perpendicular to f (1) = 5x – 1 passing through the point (5, 20). %3D…

A:

Q: Is the equation y-4x²=36 represents y as a function of x?

A: yes the given equation represents y as a function of x given that y - 4x2=36 y = 36+4x2=4(x2+9)

Q: 2) Find an equation for the slope of the graph of y=x²+2x at any point.

A: