Set up the definite integral that gives the area of the region. Y₁ = x² + 2x + 5 Y2 = 2x + 30 -5 dx 40 cy 30 y 20 10- yl

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A: Given: For (a), limx→ 1-x2+1Plug in the value x=1=12+1=2limx→ 1+x-22Plug in the value x=1=1-22=1

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A: We need to find point of intersection.

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A: From the graph, we can notice two horizontal lines: y=3 and y=-3.

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A: To find out the difference of the arithmetic sequence.

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Q: d²y dx² - 3x4y( y Type: Order: Degree: Linearity: dx³ Dependent variable/s: Independent variable/s:…

A: We can solve this as follows:

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A: I am attaching image so that you understand each and every step.

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Q: =1 6.2 n(x + 2)π --

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A: Solution: Given, Circle having center at (0, 0) and radius is 5 and

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Q: Use the binomial series to find the Maclaurin series for the function. 00 f(x) = Σ n = 0 f(x) = 1 (1…

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Q: The profit function of a certain firm is f(x) = -6x² + 1188x - 1200, where x denotes units of…

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Q: A. by extracting square roots. 1. x2 = 169 2. 9b2 = 25 3. (3y - 1)2 = 0

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Q: ****** 0 Find the value. (Enter your answer in radians.) As x→ -1, the value of arcsin x → EN 2

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Q: Add. 7 9 2 (x+8)² x²+x-56 + 7 9 2 (x+8)² x²+x-56 (Simplify your answer.) +

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Q: Let g(x) = 0 if x = -2 x² - 3 if x # -2. Find lim g(x) x = -28 (x)

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Q: Find the DE of a family of circles with center at (1, -2). Hint: Equation of circle with center…

A: Let's find diffrential equation.

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A: Concept: Differential equation: Any equation with one or more terms and one or more derivatives of…

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Q: The table gives the population of a country, in millions, for the years 1900-2010. Year P = 1900…

A: NOTE: Refresh your page if you can't see any equations. . x=number of years after 1990 y=population…

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Q: Find a parameterization for the curve shown in the figure below. r(t) where = -1 140 <t<

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Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, find vector normal to A and In plane of A and, B.

A: The given vectors A=3i+j+4k, B=2i-3j-k we have to find the vector normal to A and in plane of A and…

Q: 7. f(x)=√x+5.

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Q: IN YA 4 61 543 N 4 3- 2- 1 -6-5 -4 -3 -2 -1 OH 0 F11 G2 -31 -4: -51 -6- 1 2 3 4 5 6 20 X THINK THE

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Q: 4) 10 x-31=-40 31 + 2x=46 깃

A: As per guidelines we can answer only one questions at a time, so if you need more answer kindly…

Q: Prove the identity. cos (x-y)-cos(x+y)=2 sinx siny Note that each Statement must be based on a Rule…

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Q: So 1 x²+7x+10 A. B. C. D. 3ln 2-ln 2 3 3ln 2+ln 2 3 3ln 2-ln 2 5 3ln 3-ln 2 3 dx

A: The given integral, ∫011x2+7x+10dx use the integral formula, ∫dxx=ln x+C

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Q: Question 6

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Q: 3) show that the following limit C lim √√x y²/(x+y³) (x,y) →(0,0)

A: Given; Lim(x,y)-(0,0)x1/3y2/(x+y3).

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Q: Students in a zoology class took a final exam. They took equivalent forms of the exam at monthly…

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