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Q: nd f(7zº + 5x³) dx Find + C

A: Given:     ∫7x6+5x3dx=∫7x6dx+∫5x3dx=7∫x6dx+5∫x3dxwe know that ∫xndx=xn+1n+1

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Q: Which of the following grapins represents (x2}? + y + 47 = 25? - d 7 - 4 41 층 4 $ 4 2 .

A: The given equation is: x-22+y+42=25 First, draw the graph of the given equation.

Q: I Sketch the area bounded by x² + 2y = 4 and x+y+2=0 and determine: d) area using horizontal strip…

A: Solution is given below:

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Q: "풍 2 secx dx tan³x + 4 tanx

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Q: III. Consider a function f that is continuous everywhere except at x = 1. Given below is t table of…

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Q: Consider the function f(x) = (4-5x)7. Find the second derivative f" (1). O7(4 – 5z)® O-35 (4-5x)6…

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Q: Consider the region R bounded by the functions f(x)=3x and g(x)=x²+2. The area of R is: Choices: sq.…

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Q: If ¹f [ 2³ sin ædæ = −2³ cos x + 3x² sin æ+ 6x cos a - 6 [ f(x)dæ, then f(x) = a. x cos x b. sin x…

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Q: A function is given. Determine the average rate of change of the function between the given values…

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Q: Given f''(x) = 4x + 5 and f'(-1) = 1 and f(− 1) = - 1. Find f'(x) = and find f(4)

A: Let's find function and it's value.

Q: -5 0x2 0<x<2 2 Over what interval is f(x) concave down? Ox<0 y=f" (x) 5

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A: Concept: Lagrangian function : The initial problem is reformulated as a result of the link between…

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A: Two lines are perpendicular if the product of their slopes is equal to -1

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Q: 2).  Suppose that  ∞ n = 0 an(x + 4)n  converges at  x = −5.  At which of the following points…

A: Given that, the series is ∑n=0∞anx+4n, the series converges at x=-5. Rewrite the∑n=0∞anx+4n as…

Q: 1. ſ (x-1)dx x2+5x+6

A: The given integration is ∫(x-1)x2+5x+6 dx  We have to find the integration for the given integral

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Q: 5. S (2x²+1) x3-3x+2 dx

A: Here we have to find the integral.

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A: 1) Given: l: x=1−y2=z+1 Let ,  x=1−y2=z+1 = λ Any general point on the line l will be x=λ, y=1-2λ,…

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A: Concept: The average rate of change : The average rate of change function explains how quickly…

Q: 5. Using f(x)=xln√x + 2x; Do each of the following: Find f(x) and f(x) a. b. Find critical values…

A: The given function is fx=x lnx+2x we have to find f'x and f''x use the derivative formulas,…

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Q: S= [²3/1/20 The value of dr is

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Q: Find a Cartesian equation whose graph is the same as that of the polar equa- 1² cos 20 and (hence or…

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Q: 7. Solve for cot 0 (² - if cos(20) = 4 5 and P(0) E QIV.

A: To solve for cotθ2 if cos2θ=-45 and Pθ∈QIV.

Q: 6. If a = 2, b = 2√√3, y = 30°, solve for c and 3.

A: In a triangle, the given measures are a=2, b=23, γ=30°

Q: 11) Find each of the two areas bounded by the curves y=x3-4x and y=x² + 2x Points of intersection:…

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Q: I. Find the solution set of the following. 1. 2e²x - 3e + 1 = 0 H

A: Given the equation 2e2x - 3ex + 1 = 0 Rewrite it as 2(ex)2 - 3(ex) + 1 = 0 Let ex = y then the…

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Q: ) In the following exercises, use direct substitution to show that each limit leads to the…

A: Given, limx→ 3x2-2x-3x2-9LetL=limx→ 3x2-2x-3x2-9L=limx→ 3x2-3x+x-3x2-32L=limx→…

Q: Two fire-lookout stations are 14 miles apart, with station B directly east of stat notation is N35°F…

A: Let the position of fire be at C. Given, Distance between two fire lookout stations AB= 14 miles…

Q: On Integration of Rational Fractions. Distinct linear linear factors ³+3x+1 8) (x+1)²(x-2)²

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