If f is continuous on [a,b], and f(x) > 0 then b [²√f(x) dx = a √5°₁ S f(x) dx

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Q: : Evaluate the following integrate: 1- S x²dx √√9-x² 2-[(2 + 5x)e³ dx

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Q: State the domain, vertical asymptote, and end behavior of the function.   g(x)=ln(2x+12)+1.8…

A: This question is related to Functions, we will solve it using given information.

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Q: 3. The angle between vectors A = 91-j+5k and B=(-2,7,1) is... ***** 16- 12 4. 2) shor mis

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: SPC Student Login - CX mic Grades - MAC231 X 2311 Section 3.3 X MindTap - Cenga X CalcView | Calculi…

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Q: Solve for the second derivative of the following implicit function

A: We can solve this as follows:

Q: Fill in the blanks in the following: 1. Ifa (3,-2, 6) and b=(4,-1,-6) the axb:

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Q: FCILICI. B. Find the general solution of the following 2nd order differential equation: y +2y + 2y =…

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Q: 6. f In² x dx

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Q: Show that for all n € N, one has 1 2√n+1 <√n+1-√n<; 2√ñ

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Q: 2 2. cos² ydy 1+sin y

A: The given integration is: I=∫cos2y1+sinydy   We know the common integral. ∫sinxdx=-cosx+C

Q: 1.) lim f(x) = X→-7+ 3.) f(3) = 5.) f(0) = 7.) lim f(x) = x→0+ 9.) lim f(x) = X→3+ 2.) lim f(x) =…

A: The objective is to determine the limit if it exist.

Q: Find the slope of the tangent line to r²e³ + y²e² = 2e at (1,1).

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Q: (-3)^(x-2)^. II. Consider the power series, √n+2 n=o 1. Use Limit Comparison Test to show that the…

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Q: Integral of Exponential & Logarithr Determine the integral of the ff. functions. 1. - 20 e 4x dx 2.…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: 9.f tan3³ x √sec x dx

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Q: Solve the given ODE using the method of undetermined coefficients. y" – 4y = (x² − 3)(sin2x)

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Q: ²) S₁₂ x ² √ x²+1 dx St 2)

A: The given integral is; I=∫07xx2+13dx   ....(1) As we know the Power Rule: ∫xndx=xn+1n+1+C

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Q: Let F(x) = f(x¹) and G(x) = (f(x))¹. You also know that a = Then F'(a) = = 12, f(a) = 3, f'(a) = 4,…

A: Fx=fx4 and Gx=fx4a3=12, f(a)=3, f'(a)=4, f'a4=7

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Q: solve this. Find the absolute extrema of f on the given interval. (find the absolute maximum value…

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A: We have to find the angle and speed of the plane.

Q: 1. Prove that (a) A\B=A\(ANB) (b) A\(B\C) = (A\B)U(ANC) (A\B)\C=A\(BUC) (c)

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Q: Function Point f(x) = tan² x 4 (a) Find an equation of the tangent line to the graph of -4x-T+1 X…

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Q: 1) Solve the following y'z 9²² x + 2 ex-a Intial value problems. y (9) 24 y² = x²-wsx, y² (0) = 2, y…

A: We need to solve initial value problem. As per Bartleby's guidelines we can solve one question from…

Q: 3. Use Stokes' Theorem to evaluate $ F dr, where F = (0, 0, 2), (1, 0, 2), (1, 1, 2), and (0, 1, 2),…

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A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

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A: Topic:- application of integration

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Q: (x-7) dx 19. SJ5-4x-x2

A: Answer is following.

Q: Given than [ f(x) dx = 7 and S. -2 (A) [₁ f (x) dx - [³ f (a) dx = -10 B) None of the given choices…

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Q: Find the transition points. f(x) = x(11-x)1/3 (Use symbolic notation and fractions where needed.…

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Q: Let Ley) = y(4) + y (3) - 7y (2) _y (¹) + 6y al solue: Lys = 36t-24e² > " where = y (o)=y'(o) =y"…

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Q: Use the elimination method to find all solutions of the system: [x² + y² = 7 x² - y² = 4 The four…

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Q: Specify the domain of the function f(x)=sqrt2x+10   The domain of f(x)fx is x

A: Here we need to find out the domain of the given function.

Q: I. Evaluate the following integrals. x² + 2 1. dx (x-2)(x² - 2x + 2) 2-2x 3 x² +2 (x-2)(x²-2x+2) dx…

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