x – 6 f(x) = %3| (x – 1)(x +1) Use interval notation to indicate where f(x) is continuous. NOTE: When using interval notation in WeBWork, remember that: You use 'INF' for ool and '-INF' for -ool And use 'U' for the union symbol. Interval(s) of Continuity:

Q: For the function below, find a) the critical numbers; b) the open intervals where the function is…

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Q: (х-а) 2. lim Vx-Va X→a

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Q: lim          e((x+4)/(x+2)) x->2-

A: Insert the value of given limit. The result is a finite number.

Q: 8. (x - 1) dx √x lim

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Q: im xto1 of the function e(2^x) /(x^2) .. use L'Hoptial's Rule

A: Given information: limx→1e2xx2 The objective is to evaluate the limit by using L'Hopital's rule.

Q: lim (nxln(x -1) =? Use L'Hospital's Rule X

A: Given :               lim   x→1+lnxlnx-1

Q: For the function below, find a) the critical numbers; b) the open intervals where the function is…

A: We need to find critical values and interval where function is increasing and decreasing.

Q: V-x – 2 – V3 te lim x--5 -x - 5

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Q: d. lim_f(x)= X4-2 e. lim f(x) = x--2 f. lim f(x) =

A: Since you have posted multipart question and we can answer three subparts. So, answered the first…

Q: lim h→0 f(1+h)-f(1) B)-f(1) h 5/14 Correct where f(x) = 9x² + x - 4

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Q: Vx+4-Vx2+x+4 7. lim x-0

A: Explanation and solutions is given below....

Q: lim (nx{n(x -1)=? Use L'Hospital's Rule

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Q: Write an equation for a function that has a Vertical Asymptote at x=2, a hole at x=0, and x-int at…

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Q: For the function below, find  a) the critical numbers  b) the open intervals where the function is…

A: We will find the first derivative using the power rule

Q: 3. Find the values of the constants a and b such that Va + bx – V3 - lim x → 0 3.

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Q: Example: Use the Secant method to estimate the root of f(x) = e-x-x. Start with initial estimates…

A: To use secant method to estimate the root of fx=e−x−x

Q: Find those values of x for which the given function is increasing and those values of x for which it…

A: Given:- y=x4-18x2  To find:- interval where function increasing and decreasing

Q: lim x---q (1 + 2f (x))

A: To evaluate the limit: limx→ q1+2fx

Q: The function f (x) = (ln x)>x has a relative extreme point for some x 7 0. Find the point and…

A: Given fx=lnxxandx>0 Objective: To find the point at which relative maximum or a relative minimum…

Q: 4. lim x5 x- Note* the sign is negative -1/2 5. lim va N. -- I. 2v2 6. lim 3x Vx Н. 243 3 x-27

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Q: lim (x2 – x')e?* X -

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Q: 4. lim f (x)=4, where c is any real number エー mil It lim[3f (»)] C.

A: limx→cfx=4

Q: A tank initially contains 120 L of pure water. A mixture containing a concentration of γ g/L of salt…

A: A tank initially contains 120 L of pure water. A mixture containing a concentration of γ g/L of salt…

Q: lim (SC - S(T)) where f(x) = -x²+x+6 f(7+h)-f(7) h h→0

A: f(x)=-x2+x+6= limh→0 f(7+h)-f(7)h limh→0 -(7+h)2+(7+h)+6-[-72+7+6]h limh→0…

Q: (b) lim (1+ x)* x→0+

A: Given

Q: c) lim x-0 √x+5-√√5-x x

A: Given query is to find the limit of the expression.

Q: lim (lnx/x1/2 - 1/x)  ? x-->infinity

A:

Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: Given function is fx=23x3-x2-4x+2. To find the critical number and the open intervals where function…

Q: e – e-* lim I-0 x2 + 3T

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Q: 3. lim e x→3*

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Q: Q3) Specify the intervals over which the function is increasing and the intervals where it is…

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Q: Evaluate the following limits.

A: We have to evaluate the limit: limx→0ax-bxx It is 00 form. We know the formula, limx→0ax-1x=lna So…

Q: Determine if the given functions f(x) are continuous or not at the given value of x. Show your…

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Q: 3 4 At what x-values does the function appear to not be continuous? x =| 3 At what x-values does the…

A: The definition of the continuous and differentiable function helps to find the required answer to…

Q: lim f(x), where f(x) X-2 S11 2x if x < 2 if x 2 2

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Q: Evaluate the following limits.

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Q: 4. Find the intervals in which the function is concave up /concave down for the function f(x) = x* -…

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Q: x |x+1| e) lim X--1 x+1

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Q: The incidence (number of new cases per day) of a contagious disease that is spreading in a…

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Q: lim (5x+1/5x-1)x  ? x--&gt;infinity

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Q: (c) Use the First Derivative Test to find the local maximum and minimum values of f. (d) Find the…

A: (c)

Q: 8 tet f(x) = x* + 4x³ – 18x² + 17. Find analytically by hand, showing work, the intervals where f is…

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Q: For the function below, find a) the critical numbers; b) the open intervals where the function is…

A: We have to find

Q: (4-(x+ 4) x4 . Using a--1 a b- 4, sketch the graph of . Make sure you label all "jump" points and…

A: Given, f(x)=4-(x+4)2,           x&lt;-1ax+b ,        -1≤x≤4x,                      x &gt;4 where a…

Q: (p- [d) lim xn x→-0

A: In this question, the concept of limit is applied. Limit The limit formula is employed to calculate…

Q: d. lim f(x) %D X-3-

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Q: 4. Find the intervals in which the function is concave up /concave down for the function f(x) = x* –…

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

Q: (d) lim f(x) X-3 (e) f(3)

A: