Consider the following one-sided limit. Step 2 of 2: Determine the value of the one-sided limit. Answer x² - 225 (²²-23) lim x →15 x 15

Q: QUESTION •√√16=7³" to 10 Evaluate dz.

A: Given :∫4-x16-x2dx

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Q: Prove, without using any results from the chapter notes, that for all z = C, z² = 2².

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Q: How many of the following are valid functions? f: R→R, f(x) = e = g: R→ R, g(x) = ln(x² + 1) h : R →…

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Q: 6. Simplify the following equation y = 2√√xx 4√√x- A. y = 8x¹/8 - 6x²/5 + x-3 B. y = 8x³/4 C. 4-5 x3…

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Q: Find the linearization L(x) of f(x) at x = a. 2 f(x)=√√x+13, a = -6 L(x) = -0

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Q: 4. (x²-1 f(x)=2x-1 3 Domain: Function: Yes No Continuous: Yes No f(-2)= f(0) = x≤0 05 Range: f(5)=

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A: given   y=4x2tangent line to parabola at (1,4)

Q: (12) f(secx) (secx + tanx) dx =: (A) tan(x) + sec(x) + C (C) tan(x)+csc(x) + C (B) tan(x)sec(x) +…

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Q: a. Find the general solution of (D² + 4)y = 0. y = C₁ cos2x+c₂ sin 2x y = C₁ cos x + C₂ sin x…

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Q: Let a = (5,-2, 9). Find ||10||

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Q: 1 1-x // 0 x-1 x dy dx

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Q: B: 15÷3*7-9³-(-3) -521-31³-2 +2³

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Q: Integrate the following. Reduce answers to its simplest form if possible. (a) √ (6x¹−2x³+4x²−2) dx…

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Q: Given that 7 ≤ f(x) ≤ 9 for -2 ≤ x ≤ 2, estimate the value of ≤ [² f(x)d f(x)dx ≤ f [ ²³ f ( ²…

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Q: A continuous function y = f(x) is known to be negative at x = 8 and positive at x = 9. Why does the…

A: Topic - Functions We are given A continuous function y=f(x) is knoe=wn to be negative at x=8 and…

Q: Solve the initial value problem. dy dx +6y-8e-3x=0, y)= The solution is y(x) = 5

A: To solve the following initial value problem.dydx+6y-8e-3x=0, y0=53

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Q: For what values of a, if any, does x2+5x+6 lim x→a+ a-x Be sure to show all work justifying your…

A: Let consider a function f(x) , The positive limit around x=a is defined as follows:…

Q: Let ƒ(x) = 4x − sin(4x). a) Find f (0). f(0) = b) Find ƒ(§). ƒ(§) = CHECK ANSWER

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Q: If an object travels in the xy-plane along the curve traced out by 
the vector function r(t) = (t…

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Q: Q4: Write an equation for the plane containing points P (1, 1,-2), Q (0, 2, 1), R (-1,-1,0) in both…

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Q: Problem #1: Which of the following differential equations are NOT separable? 242 243 2 = = x+8y X…

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Q: 8. Solve the equation 2(y - 4x² dx + xdy = 0. 2 4 a. X x² + 2x²y = cc. x4 - 2x²y = c b. (x + y - 1)2…

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Q: I = So q arc EIN length is (3 Cons² t sint 12+ (3 sin²+ cost) 2 dt

A: Given Curves:- xt=acos3t,yt=asin3t

Q: A shipment of fruit is delivered to a warehouse. The boxes containing the fruit also contain fruit…

A: given  p(t)=1100-1100(0.9)t

Q: 2. f(x)= Domain: f(-2)= (2x+1 x≥1 x²+3 Function: Yes No Continuous: Yes No f(6)= f(1) = x <1 Range:

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Q: 2 8 3) (5x² - 4x) dx = in(cinA) (cose)de

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Q: The remainder of this question concerns the complex numbers z₁ = 3+j3 and Z₂ = -1-j -j2. (b)…

A: Disclaimer: according to students we will solved only d and e parts  Given: z1 = 3+3j    z2=-1-2j

Q: Given; XX. 13 3X+9 1+i√√√√√X 1-i√√√√X 2 2 + 13 = = ?

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Q: 2. Let f be defined by { x 0. f(x):= I 0 Using the definition of the derivative, verify if f has a…

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Q: Find the limit. x+2)(x+61) lim (x+2) X→-6* O A. 8 OB. 4 OC. -4 OD. The limit does not exist.

A: Topic = Limits Correct option = C

Q: 3. Find the indicated limits. Use DNE,,or-xif appropriate. C 2-5 3x *+2 X+2 d. lim

A: The given limits are, a) limx→5-x-1 b) limx→1-x-1 c) limx→-2-3xx+2 d) limx→1+41-x. We have to find…

Q: (a) Express the area of a circle, A, as a function of its circumference, c. A(c) = (b) Express the…

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