х — а- "x approaches a from the left." means (Hint: look at the graphs you sketched in the previous problem.) (a) As x →. -+, f(x) - (b) As x →. f(x) → (c) As x →. -+, g(x) – (d) As x →. –, g(x) – (e) As x → -+, g(x) - (f) As r - alr) -

Q: 7. There is a removable discontinuity at x = 1 and f(1) = 4 8. There is a jump discontinuity at x =…

A: Note that: The jump discontinuity means the left and right-hand limit exists but not the same. And,…

Q: a. Let y=f(x) be the particular solution to the given differnetial equation with the initial…

A: b. given:y'=12xy2dyy2=x2dxintegrating on the both sides-1y=x24+capplying initial condition-1=1+c;…

Q: slane using GraphiI Hethod Max Z=3X+2k2 2X + Xe loo X+X+ 80 Onpt-

A: first we will draw the feasible region bounded by the constraints. then comparing the value of…

Q: 1. Suppose you own a lemonade stand and sell delicious lemonade in your neighborhood. Ittakes 3…

A: Please check the solution below

Q: 4. 2 10-8 -6 -4 -2 0 4 6 8 10 -2 -4 -6 -8 -10 Match the graph with its function by translating the…

A:

Q: 6. Find the absolute maximum and absolute minimum of the function f(x)=x´e^ +1 on the…

A:

Q: Ury is 10. (i) Show the general solution of the PDE u(x, y) = F(x) + G(y) for arbitrary functions F,…

A:

Q: 1-x3 , х0 . Sketch the graph.

A:

Q: 4 3 2 1 -4 -3 -2 -1 2 3 5 -1 -2- -3- -4- 10. From the above graph of y = f(x), find all r-value(s)…

A: Explanation of the answer is as follows

Q: f(x) = (x +2)²(x – 1) f'(x) = 3x(x+2) f"(x) = 6x +6 %3D

A:

Q: (5) The point p = -4 is a fixed point of the function g(x) = Vx + 20. Show if it is attractive or…

A: Given that, the function is gx=x+20 and the point is p=-4. Note that, x0 is attractive if f'x0<1…

Q: 10) Use the graph of y = f (x) shown below to describe the concavity in the graph of y = f (x) on…

A: Given information: The graph and the concavity in the interval [0,4]

Q: (3 +x if x < -1 if -1 sx< 1. (2 - x if x 2 1 Let f(x) = {x2 Sketch the graph of f. y y 3 -3 -2 -1 1…

A:

Q: 1) Find a function y whose graph passes through the point (1, ) and satisfies x?y' = y.

A:

Q: 18. Find the coordinates of the absolute maximum and absolute minimum value of the function…

A:

Q: 1) Find a function y whose graph passes through the point (1, and satisfies x?y' = y.

A: We have to solve

Q: Which of the following is true about the graph off(x) = 6x3-12x2 6x 4? 1 44 a) Of(x) has a local…

A: Initially, draw the graph of the given function as follows.

Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A:

Q: 452 44 -) Determine the values of constants a and b so that f(x) = ax²+bx has an absolute maximum at…

A:

Q: 2. (a) Find the critical point(s) of the function f(x) = x2/3 on the interval -1,8| 2. (b) Use your…

A:

Q: 122-54z+36 Find the oblique asymptote of f (2) Section 3.4 Oy = 12x – 162 Oy = 12x + 27 Oy = 12x- 54…

A:

Q: (5) The point p = 2 is a fixed point of the function g(x) = = + 1. Show if it is attractive or…

A: Given g(x)=2x+1 and has fixed point at p=2. (i.e) g(2)=2 We need to check that given fixed point is…

Q: 1. Consider the recursive relation xt+1= 1/5xt2 (a) Find all equilibrium points. Answer: x= and x=…

A:

Q: 104 6. -10-8 -6 -4 -2 0 4 6 8 10 -2 10 Match the graph with its function by translating the graph of…

A: topic - translation of a function

Q: Along the path x = ey find lim (1,y)→(1,0) y²-6zy 3r-y-3 does not exist O 3 0 2 0 -3 O 2 0

A: Find limitx,y→1,0lim y2-6xy3x-y-3calculate limit along the curve x=eyconcept:- convert limit in one…

Q: (5) The point p =2 is a fixed point of the function g(x) = = +1. Show if it is attractive or…

A: please see the next step for solution

Q: If f(x) is a continuous, odd function and f(c) is a relative maximum , then f(-c) is a relative…

A:

Q: The demand function for a product is modeled by - 13,00(1- p3D 6 + e-0.001x Find the pricep (in…

A: a) The demand function is given as p=130001-66+e-0.001x when x=1000 p=130001-66+e-0.001×1000…

Q: 5. Find the maximum and minimum values of the function f(x) = x e-2a on the interval [0, 1].

A:

Q: (5) The point p = 2 is a fixed point of the function g(x) = - +1. Show if it is attractive or…

A:

Q: 4. a) Solve the equation 5sin-'x- 2n = 2sin-'x-3n 6) Graph, find x where f(x) = g(x), bounded by…

A:

Q: The function f(x)=E(x - k} attains minimum value for x, k=1 then x =

A:

Q: 12. The graph on the right is NOT differentiable at x = 1. For what reason is it not differentiable?

A: Yes, given graph is correct.Given function:f(x) = x-1f(x) = -x+1        x&lt;1x-1           x≥1

Q: x < 2 2 < x < 5 at x = 2 and 5. x 2 5 4х, 2. Classify the discontinuity of f (x) = } x + 6, x² – 1,…

A:

Q: 2 The function f(x)= (x² – 1) ³ , is decreasing on the interval (- 00,-2)U (0,2) AO (-1,0) U (1, ∞ )…

A:

Q: 2x³4 Q1 Investigate the limiting behavior of_f(x,y)=- x4+y² as (x,y) approaches (0,0)

A: Along x=0 f→0y2=0

Q: 3. Truncation error in the equation; with h = 0.2 S'(2) for f(x)=x² by f'(x)=[(x+h)-S(x) h

A: topic - derivative and truncation error

Q: 2 3 The absolute minimum of f(x)= 3 x³ - 2x 0n [-1,8] is y =

A:

Q: y = (x + 3)(x –5) y=x-2x-15 15- 20 y (x-3)(x + 5) 10 5- -2-1 234/5 6 7 y = x(x-2) - 15 10- -15 -20 O…

A:

Q: 6) Determine an equation for a quintic function with zeros -1 (order 3) and 3 (order 2) that passes…

A: In this question, concept of polynomial is applied. Polynomial The term "polynomial" refers to a…

Q: 1) Consider the end behavior description below. • as x -, fx) - • as x, fe)-- Which function…

A: We need to select a function for which 1. As x→-∞, f(x)→∞ and 2. As x→∞, f(x)→-∞

Q: 1 What is the direction of fastest increase at (-3, 4, –4) for the function f(x, y, z) = x2 + y2 +…

A:

Q: 1, x>0 (3) Recall that (Ixl) = . Use this result and the chain rule to find (Ix - 2x - 8|) -1, x<0…

A:

Q: 7. Suppose that for a certain commodity the supply and demand functions are given by 4. = 41 + 7p +…

A: Solve the differential equation, using separation of variables

Q: (a) Give the linearization L(x) of f(x) at x = 2. (b) Use your answer from Part (a) to estimate the…

A: Solve the following

Q: (c) Suppose s() = -4p(3(x – 1)) – 2. Describe how p(x) is transformed to create s(x). Verify your…

A:

Q: b) domain {x e R, x 2 4}, range {y e R} c) domain {x e R}, range {y e R, y -2}

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Q: Consider all of the possible relations between z and y such that y varies at a constant rate of…

A: Solve

Q: 4. The function f(x, y)= (x² +2y² )exp| . +8xy is homogenous in x and y of degree 5 The function…

A:

Q: -2.01 3x b) g(x): graph on the interval [-2, 2]. 1+x? 1.5 1.0- .5- -1.5 -1.0 1.0 1.5 -.5- -1.0-…

A: