1 Consider the function f (x) = on the interval X - 1, 1]. If the Mean Value Theorem can be applied to f on this interval, explain why, and find all values c in the interval that satisfy the conclusion to the Mean Value Theorem. If the theorem cannot be applied, explain why not. Next, answer the same question, but for the interval [-2,-1].

Q: ) a) Find the point at which the given lines intersect: b) Find an equation of the plane that…

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Q: If f(x) = 5³x then f'(x) = 5.A 5h 3 In S O 3x(5³-1) 5³ (In 125) 3(5²)

A: Here, the given function is: f(x)=53x So, note that ddx(ax)=axln(a) where a is a constant.

Q: 1) e5Ln x+4Lny-Ln z 2) 2Ln√x + 2Lnez - 2Lne* Rewrite the following quantities

A: Given :1. e5Lnx+4Lny-Lnz2. 2Lnx+2Lnex-2Lnex

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A: We have to find solutions

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Q: Marine Vessel A is 20 km west of another Marine Vessel B. If Vessel A sails east at 10 km/hr and at…

A: Marine Vessel A is 20 km west of another Marine Vessel B. If Vessel A sails east at 10 km/hr and at…

Q: 12 1= A ✩ = OÅ and √ – OẺ . Then, AC is equal to: U= = Oa)-7-7 Ob)-7 Od-+7

A: Topic:- vector algebra

Q: 9. Find f(x) and g(x) so the function can be expressed as y = f(g(x)). 8 y = +4 2 X

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Q: roblem 5. Find the equation for the line tangent to the curve y√ = 3x√√y - 10 at x =

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Q: Q4: Evaluate the following integral. 7/21/2 sin y 5% dy dx Y

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Q: (e) If f and g are differentiable then, d -f(g(x)) = f'(g(x))g'(x) dx True False

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Q: Suppose you have a 1024 mg sample of a substance known to have a half-life of 50 years. Find the…

A: Given half-life of sample=50 yrs and the initial sample is = 1024mg.

Q: Given the points A: (2,3,6) and B: (-3,-4,1), find the vector u = AB ū = < U

A: NOTE: Refresh your page if you can't see any equations. . here we have

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Q: III. Consider the parabola C: 2 - 4 = -(x - 2)² on the zz-plane. 1. Find the center-radius form of…

A: Given that Parabola C : z-4 = -x-22                In this question, we sketch a graph of the…

Q: 1.1 Determine the following derivatives with respect to x 1.1.1 y = cos(sin(cos.x)) 1.1.2…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: a. b. Evaluate the following integrals 2 dx cos²x√4 tan x- tan² x I [ sin(√a)da dx

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Q: How firel the center, foci, vertices and eccentricity for the following equations! x+4y²-4x-8y +4=0…

A: Concept: Ellipse: The equation of the ellipse with center at (h,k)  (x-h)2a2+ (y-k)2b2 =1 Hyperbola:…

Q: Solve the following Differential Equations with Laplace Transforms y" - 6y' + 15y = 2 sin(3t), y (0)…

A: Let's solve diffrential equation by using laplace transform.

Q: 5: Evaluate I where D is the rigion bounded by xy ve x+y = 7 SS (X+Y) DA D (1

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Q: (2x -۱۱۶ (3x44795

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Q: To estimate the height of a building, two students find the angle of elevation from a point (at…

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Q: Q2) Determine using Cauchy Riemann equations the function below is analytic or not? f(2)=x² +…

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Q: Convert the point (p, 0, 6) = = (x, y, z). (0, 1, V X (Give the point in traditional notation.) 2 2…

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Q: A company produces very unusual CD's for which the variable cost is $ 16 per CD and the fixed costs…

A: Let's solve for cost,revenue and profit function.

Q: of the given conditions. lim f(x) = ∞, Sketch the graph of an example of a function f that satisfies…

A: Topic:- limits

Q: VIP 2 = √ Бхутуг П , Ө от 58 x = CS 0 ) y = Sine -

A: Topic:- application of derivatives

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Q: a-(-3,-5) and 6-(1,4). Representa + busing the parallelogram method. Use the Vector tool to draw the…

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Q: Determine the maximum and minimum values of the function f(x)= ex cos²x on the interval x= [0,2π].

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Q: Q14) The solution of y" + y = 0 by using power series method, is: - a) y(x) = ao + a1 ( 1 - 12/11 c)…

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Q: Option 1: Given sec 0 = where <0 < T. Calculate the exact value of sin cos 0 + tan² 0. Show all your…

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Q: Hả+b+c = 0, show that ả x b = b xả = xã

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Q: f is continuous on (a, b) then there is a number c in (a, b) such that f(c) is an abso inimum value…

A: Topic:- calculus    Definition :-  Extreme Value Theorem   If a function f(x) is continuous on a…

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Q: 2.2 2.3 Determine whether the series below converges or diverges. Determine the first four terms in…

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Q: Determine whether the given function is even, odd, or neither. f(x)= x³ +sin 2x

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Q: of the given conditions. lim f(x) = ∞, 210 Limits at Infinity - Horizontal Asymptotes Sketch the…

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Q: Find the cross product u x 7 where u úxv- 71 +5j +k and 7 (5,- 4,7).

A: This question can be solved using the concept of cross product of vectors.

Q: Find the horizontal and vertical asymptotes of this curve. 2x²+x-1 y= = x²+x-2

A: Given.

Q: 4. Draw a sketch of the following angles. Identify the acute related angle (a) and draw the related…

A: Topic:- trigonometry

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A: Given: Equation of plane x-3y-5z=2 Point (-2,-4,-8)

Q: Determine using Cauchy Riemann equations the function below is analytic or not? f(2)=x² + y² - 2xy

A: This question can be solved using the concept of the two conditions of Cauchy Reimann for a function…

Q: Show that: l (i) a a a a al la al = = (2a +l)(l

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Q: lim √25t2 + 2-5t

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Q: If f is continuous and ƒ(5) = 2 and ƒ(4) = 3 then lim ƒ(4x² – 11) = x→2 True False

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Q: y= 3x + 2 √2x³-1

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Q: What is the derivative of y = log, sec(e²x) Dxy = 2 e² tan (²) Dxy = 2 (log, e) e²x sec(e) tan(e) D,…

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