5. f(x)=-2x +x+6 Rel. Max: Rel. Min: Abs. Max: Abs. Min: Inc: Dec: Domain: Range:

Q: Ax, y) = In(x +y)

A: In this question, we have to find the domain and range of f(x,y)=lnx+y As we know that the domain of…

Q: -1 if f(x) = xtan ,"x,find f' (/3 )by first principle

A:

Q: 4. Is the function f(x) = (x + 1 ((x-4)² +3 ; x<4 continuous at x = 4? Why or why not? ; X24

A: Since you have asked multiple question, as per company guidelines we will solve the first question…

Q: 4 Determine if f (x) = - 2x if x 1 is differentiable at a = 1.

A:

Q: find the extreme values on the interval f (x) = x(10 − x), [−1, 3]

A:

Q: For f(x)=3|x| does the Mean Value Theorem apply on the interval [-2, 2] and why?

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Q: For what value of the constant c is the function f continuous on (-∞, 00)? cx2 + 2x if x 2.

A:

Q: What are the domain and range of g(x) = 3√x+4? OD: [3,) and R: [0, ∞) OD: [4,) and R: (-∞, 0) OD:…

A: The given function is: g(x)=3x+4

Q: Calculuate the length of the curvey = 4√2 3 3|2 within the interval of 0≤x≤ 1,

A:

Q: Find a point c satisfying the conclusion of the MVT for the function y(x) = 4e* on the interval [0,…

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Q: Determine the threer-value candidates for absolute extremum on the interval [-3,1] for the function…

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Q: [3, 5]. - Calculate Rg for f(x) = 7 – x over R8

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Q: On the graph of f(x)=cosx and the interval [2π,4π), for what value of x does f(x) achieve a maximum?…

A: see attached file for a detailed solution.

Q: Suppose the cost per hour incurred in operating a cruise ship is 5a + b^4v^3 dollars per hour, where…

A: Step:-1 Note:-  your cost expression is not clear here as it can be 5a+b4v3   or   5a+b4v3 , So i am…

Q: Find the linearisation of f(x) = 4√x at a = 16. Use this to estimate 4√ 15

A:

Q: Determine the interval(s) for which f (x) = - 2x² is concave down. 12 %3D

A: For the curve y=f(x) to be concave downward,  f"(x) &lt; 0.

Q: Consider the function defined on the indicated interval. f(x) = 2a° – 18x2 + 48x – 36, [3, 6] Find…

A:

Q: For what value of the constant k is the function f continuous on (-∞, 0)? 5x2 – kx + 7 if x 7 k =

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Q: 6. Sketch f(x) and it's reciprocal f (x) = -2x -4 %3D %3D

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Q: For what value of the constant c is the function f continuous on (-∞, 0)? { cx2 + 5x if x 4

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Q: ,for x 1 Discuss the contuniuty of f andf'.

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Q: Determine the interval(s) for which f(x) =- - 2x2 is concave down. 12

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Q: Find the absolute extreme of the function on the closed interval y = 3cosx ; [0,2π]

A: To find the absolute extreme of the given function.

Q: f(x) = x – e2x %3D

A:

Q: (2022) , find feua (0) (1-x3 2x given f(x) 2

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Q: Find for the following function: 1- y = etan'x 2-x'y+ x*y 2 at x = 2

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Q: Which value of c satisfies the conclusion of the MVT for the function f(x) = 3x² – 2x + 3 on the…

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Q: If f(x) = etan-¹(x²) then f'(x) at x = 1 is equal to TU 2e4

A: The explanation of answer as follows :

Q: 3- Find the root of function F(x) = x² – 10 Using XL=3 , X,-4 , ɛ = 0.1

A: given function Fx=x2-10 with condition XL=3, Xu=4, εS=0.1 claim- find the roots of the function

Q: 1. Can Rolle's Theorem be applied to y = (x – 2)5 on the interval [0, 4]? Justify.

A: we will see how to proceed

Q: - Given f(x)= -, find f(x). 2+x %3D 6.

A:

Q: 3. Over which interval is the function f (x) = 1 + 2ex -3x increasing?

A:

Q: f(x) =Vx+4 entify the minimum values of the function above when 5 < x 12.

A: Given query is to find the minimum value of the function for the given interval.

Q: Q,3 For function f (x) = V19 – x , L = 3,x0 = 10,€= 1. Find an open interval about x, on which the…

A:

Q: 4- х, хS0 10) Determine if the function y(x) =- 3x, is differentiable at x = 0. X>0

A:

Q: 1. Can Rolle's Theorem be applied to y = (x – 2)3 on the interval [0, 4]? Justify.

A: Check differentiability at x=2

Q: Over which interval is the function f (x) = x3 -4x2 + 5x concave upward?

A:

Q: Find a and b so that the function = { ax + b, 8x – 8x? + 4, ах + b, х -2 is both continuous and…

A: Continuity at x=-28-23-8-22+4=a-2+b-64-32+4=-2a+b-92=-2a+b→1

Q: R(x)= ex-1

A: Domain of a function is the all possible values of x such that f(x) exists finitely. for f(x)…

Q: between the graph of f(x) = x²- 2x and the x axis over the indicated interval [1, 2]

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Q: Let f(x)=1x−2 ; for what values of x , f(x) will be discontinuous?

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Q: (1, if x 2 %3D plot

A: f(x)=1, ifx&lt;01-x2if 0≤x≤2x+1if x&gt;2

Q: What is the largest interval in the function f(x) = x² - 2x + 1? A. (-∞, 1) B. (-∞, 0) C. (1, ∞)…

A: Function -  parabolic function    Option A is the correct option.

Q: 8. The y-intercept is -4. The function has no x--00, f(x) → -0∞, x-intercepts. As x→ 0, f(x) → -∞…

A: 8.  The y-intercept is -4.   The function has no x-intercepts.  As x→∞, f(x)→-∞ and as x→-∞, f(x)→-∞

Q: (2) Find all the points of discontinuity of the function S(x) = } x + 2 (x2 – 4 1<x< 3 x2 3

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Q: 2, the interval of differencing being unity. E Evaluate

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Q: Find fqix(q|x) for x € {0,1} and all q.

A: Given Information: Q be the continuous random variable with pdf, fQ (q) =6q(1-q)       ; 0≤q≤10…

Q: 2- Find ( for: y= esin-1 x

A: first derivative of function

Q: Find the absolute maximum and minimum values of f(x) = 2x³ – 36x2 + 120x -8 on the interval [0, 12]…

A:

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.