A)-2 B) -3 C) 2 D) 3

Q: When f(x)→b as x→±∞, y = b is a ________ ________ of the graph of f.

A: Here we have to fill the following blank,  When f(x)→b as x→±∞, y = b is a ________ ________ of the…

Q: I need help graphing f(x)= 1/2x +1 and g(×)= -|x-2|+5 Y= F(×) as a line Y= G(×) as 2 ray segments

A: Given function f(x)=12x+1 Since, graph of function h(x)=1x is hyperbolic shaped. To obtain 'f(x)'…

Q: Find y as a function of a if y(0) = 7, y/(0) = -12, y'(0) = 108. y(x) = y" + 36y' = 0,

A:

Q: Find and simplify the function values. f(x, y) = 8x + y2 Exercise (a) f(x + Дх, у) — f(x, у) Дх

A:

Q: f(x,v) x2

A:

Q: t(x, y) x² + y?

A:

Q: Use the graph of f to find the x-intercept(s), Where applicable, use interval notation.

A:

Q: The level curves of the function f (x, y) = /2x² + y² – 1 are

A: Explanation of the answer is as follows

Q: Determine and distinguish the stationary values of the function f(x, y} = x² – 6x² – 8y². -

A: We need to find the stationary value of f(x,y)=x3-6x2-8y2   For that first we need to find the value…

Q: 1+x? b. y = 2 1-х*

A: The solution are next step

Q: Use the vertical line test to identify graphs in which y is a function of x.

A: Vertical line test: If every vertical line cuts the graph only once then the graph will be a…

Q: Sketch the graph of the function. f(x, v) = y? + 7

A:

Q: Determine whether the equation defines y as a function of x : xy + 2y = 1

A: we have to determine whether the given equation defines y as  a function of x. given:  xy+2y=1

Q: At which ordered pair will the function f(x) = v-x - 2 – 2 begin on the coordinate plane? %3D ([?],…

A:

Q: Use the EVT to find the maximum and minimum values of the function f(x, y) = e4a-5 yʻ on the disc x²…

A:

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

A: We can find the answer given below

Q: Graph and shade the domain of f(x, y) = vy + x² – 2.

A:

Q: Consider the implicit relation yx +1= 7y. In the box below, solve the equation for y as a function…

A: In this question, we have to separate y in terms of x.  i.e. y=f(x)

Q: For a function f(x), f"(a) = 0 and f"(a) = 0. What could be true of the point (a, fla))? Explain.…

A: Given f'a=0and f''a=0

Q: Sketch the domain of the function.  f (x, y) = √(81 − x^2)

A: Sketch the domain of the function.       fx,y=81-x2

Q: For the function y = f(x), find f'(a)

A: Here we have, f(x)=x2+5x+2; a=-3 We have to find f'(a)=?

Q: . Does the graph of y = Vi - In x, x > 0, have an inflection point? Try to answer the question (a)…

A: y=x-lnx

Q: Use the graph of y = f(x) to graph the function g(x) = 2f(x). %3D y = f(x) Ay 4- 2- -6 -4 -2 2 -4…

A:

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

A: Given,           x =  |3y|

Q: Sketch the graph of y = f(x). е.

A: The graph of y=f(x) will be

Q: e) Sketch the graph of y= f'(2).

A:

Q: Sketch the domain of the function.  f (x, y) = 12x − 5y

A: Sketch the domain of the function.  f (x, y) = 12x − 5y

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: The function f(x,y) = x² + y² corresponds to plot [ Select ] level curve [ Select] >

A:

Q: Sketch the level curve of the function y? f(x, y) 25 36 for c = 1.

A:

Q: Specify the domain of f and sketch its graph f(x, y) = ev=y + tIn(5x2 + 7v2y? – v2)

A: Solution is below provided

Q: 5. Sketch the graph of v: R ® R, v(x) = 2x² – 5x – 3, indicating the X- and y-intercepts, and the…

A: Given: v(x)= 2x2-5x-3.

Q: Sketch the level curve of the function V(x, y) x² + y? for c 64. %3D

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: (1 point) Find y as a function of t if 36y" – 81y = 0,

A: y=76 e3t-122-16 e-3t+122

Q: The level curves of the function f (x, y) = /2x2 + y? – 1 are

A:

Q: Draw the domain of the function: f (x, y) = Va + y? + 5

A:

Q: Find y as a function of a if y(0) = 12, y(0) = 21, y"(0) = 18. y(x) = y" 16y" +63y = 144e²,

A: Given: y'''-16y''+63y'=144ex y0=12 y'0=21 y''0=18 To find: Solution to the given differential…

Q: Use a formula to express y as a function of t if  y = 3x2 + 9x and x = t − 1.   y =

A: First of all, both equations i.e. y in terms of x and x in terms of t.

Q: Sketch the level curve of the function f(x, y) = x² + y? 2 for c = 1.

A: Level curve:  The level curves of a function f of two variables are the curves with equations f (x,…

Q: Use the graph of y = f(x) in the accompanying figure to estimate the value of f'(1), f'(3), f'(5),…

A: Result: Derivative at a point x=a will represent the slope of tangent line to the curve y=f(x) at…

Q: Consider the function y= g(I)= -z² + 3c + 6,

A: The derivative of the function f(x) with respect to x is given as .

Q: Find y as a function of a if y(0) = 8, y(0) = 4, y"(0) = 134. y(x) = y"8y" -y + 8y = 0,

A:

Q: Use the graph of f to find the y-intercept, Where applicable, use interval notation.

A:

Q: 2. Sketch the graph of the function (a) f(x, y) = Vr² + y? (b) f(x, y) = Vx² + y? – 1 %3D

A: Given a. fx,y=x2+y2b.fx,y=x2+y2-1

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

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

Q: Let x + y = 28. Find y"(x) at the point (3, 1). "(3) =

A: The solution of the problem is given in the next steps.

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.