Evaluate the limit If the limit does not exist enter DNE. Limit= Number lim Esin (5) x→0

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Q: -2 -1.5 g(x) --1 -0.5 a 1.5- -1- -0:5- --0:5- -1- -1.5- -2- f(x) 0.5 g(x) 1.5 2

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Q: Solve - 3 / x + 8 / x - 1 = -1

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Q: Complete the table. (Round your answers to five decimal places.) √x + 9-3 X f(x) lim X10 -0.1 X…

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Q: How do you find derivatives and how to find the line tangent.

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Q: Suppose g(x) is differentiable at x = 4, g(4) = 0, and g'(4) = 1. Select all statements that must be…

A: Given:g(x) is differentiable at x=4g(4)=0g'(4)=1

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Q: y' = (1 − x²)²; y(15) = 149,645

A: differential equation

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Q: Consider a closed rectangular box with a square base with side x and height y. a. Find an equation…

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Q: condition

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Q: 2-4 +4² +16 Give your answer as an integer or a fraction. If the limit does not exist, type DNE.…

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Q: The integral in this exercise converges. Evaluate the integral without using a table. S 1 1.0001 X 1…

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Q: Find the following derivatives. z and Z₁, where z = 9xy - 5x²y, x= 3s + t, and y=3s - t

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Q: Find the Maclaurin series for f (x) = x^3*e^2x.

A: Given data:- The given expression is, fx=x3e2x

Q: Skill Practice 7 Find the x- and y-intercepts of the function defined by f(x) = |x| – 5.

A: Given, fx=x-5 Or y=x-5

Q: Use the quadratic formula to solve 7x2 - 35x + 35 = 0.

A: The given equation: 7x2-35x+35=0 To solve the given equation by using the quadratic formula.

Q: Find the domain of function defined as follows.

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Q: For Exercises 137–138, (a) write an absolute value inequality that represents the given statement…

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A: Recall: Area of triangle A=12ab sin θ

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A: Given, w=2x3+3xy+2yz-z2

Q: f(x, y) = xsin²y + y² cosx, Find fxy a. sin² y - y² cosx b. 2xsinycosy-2ysinxcosy c. 2sinycosy -…

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Q: Find the average rate of change of the function over the given interval. y=√√/5x+1; between x = 7…

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Q: Find f'(-3) if f(x) = 3 X 5 2x. f'(-3)= (Simplify your answer. Type an integer or a fraction.)

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Q: Find Duf at P. f(x, y) = 5(4+ xy)³/²; P(3,4); u= NOTE: Enter the exact answer. Duf . = 1 √2 1 i+ +…

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Q: A 1-kilogram mass is attached to a spring whose constant is 24 N/m, and the entire system is then…

A: Given mass m=1 kgspring constant k=24N/mNow entire system merged into liquid that imparts a damping…

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Q: Given f(x) = -6x²-30x - 24 x+4 -, which of the following statements are true? Select the correct…

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Q: Olve 6 sin²(x) + cos(x) − 5 = 0 for plutions 0 < x < 2π =

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Q: The limit lim h→0 f(x) = ab a= b sin (a) sin (a) In(e +h)-1 h 8 x α a represents f'(a) for some…

A: Topic:- application of derivatives and calculus

Q: Find the vertical asymptotes (if any) of the graph of the function of f. lim (x3-4)/x x->0+

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Q: 4: Calculate the improper integral if it converges or show that it diverges. L 7 (3x + 1)4 dx

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Q: Find the cross-product of M x N.  Tip: use the determinant

A: Given M=2(ρsinϕcosϕ+ρcosϕsinϕ)ρ+2(-ρsin2ϕ+ρcos2ϕ)ϕ+zz and N=2ρ2cosϕρ+2ρ2sinϕϕ

Q: 1, 3 8 15 24 ..) 4'9' 16' 25'**

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