Determine the open intervals on which the graph is concave upward concave downward. (Enter your answers using interval notation. If an answer does r (-플플) y = 7x - 8 tan x, concave upward concave downward

Q: For the function y In (6x) on the interval [1, 9], answer the following questions. (a) Give the…

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Q: Find the absolute extrema of the function on the closed interval. h(s) = [0, 2] %3D s- 3 minimum (s,…

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Q: (x + 2)" 5n n=1

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Q: S- dy - = 2/y- 5in|Vy+ 5| +C Vy +5 А) True B) False

A: ∫dyy+5Let y+5 =xdifferentiating on both sides12ydy=dx=∫2y dxx=2∫x-5xdx=2∫(1-5x) dx

Q: Find dy/dx by implicit differentiation and evaluate the derivative at the given point. x + y 12xy -…

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Q: 25) (2x2 V9 + 4x3 dx

A: Answer is in below step.

Q: 4) Determinė the equation of the tangent to f(x) = -x² + 3x+1 that is perpendicular to the line x+2.…

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Q: In this question you must show detailed reasoning. Use the substitution u = 6x2 + x to solve the…

A: The given equation,      36x4+12x3+7x2+x-2=0

Q: Find the derivative for each function be low at x=1 a) flac) 6) fla) = 2(x-1)5 %3D Vox2+1) e ) fx) =…

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Q: (Continue) An astronaut drops a hammer from rest a vertical distance of 2.0 meters above the surface…

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Q: и + Use the ratio test to determine whether > converges or diverges. п! n=12 (a) Find the ratio of…

A: Here, the given series is: ∑n=12∞n+5n! Let, an=n+5n!; n≥12

Q: Finding an Equation of a Tangent Line In Exercises 85-90, find an equation of the tangent line to…

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Q: Determine whether or not F is a conservative vector field. If it is, find a function f such that F =…

A: Given function F(x,y)=( 2x-6y ) i+(-6x+14y-7) j

Q: 33 2Vx- f(x) = T sin sin 2x + Ve2x + 2x – In e, x + 1 - 1-x (1–3t)5(t³-8) alt) t # 2

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Q: evaluate intelga)

A: Consider the integral  ∫1x3dx

Q: ind the points of inflection of the graph of the function. (Order your answers from smallest to…

A: Here, the given function is: f(x)=x(x-4)3 So,…

Q: sin dx. Use trigonometric groups- 4. cos

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Q: Consider / sin'x cos²x dx. jf we let " =cos x , the integrand can be transformed to , O J(- 2u?- u*…

A: The given integral,    ∫sin5x cos2x dx

Q: 9 – 4x2 -dx Evaluate: x2 (품) (A 9— 4г2 2.x sin- f (x) = +C V9 – 4.x2 - 2 sin- (4) + C 2r В f (x) =…

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Q: The function s(t) describes the motion of a particle along a line. s(t) = 12t – t2 (a) Find the…

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Q: If D is the region in the third quadrant between x +y? = 1 and x2 + y? = 4, then using the polar…

A: We have to convert given double integration into polar coordinates integration.

Q: Please answer the following questions about the function f(x) = 2/x^2-36 Local minima x =…

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Q: The speed of a runner increased steadily during the first three seconds of a race. Her speed at…

A: Here we will find the smaller and larger distance values,

Q: Let E be the solid that lies under the the plane z = 4, and on the xy-plane it is enclosed by y=…

A: Find your answer below

Q: 15х2—х3— 43х — 19 Ax + B C The integral /- D + rx +s -dx can be rewritten as dx. (x+1)2(x²– 6x + 13)…

A: The integral ∫15x2-x3-43x-19x+12x2-6x+13 dx can be written as ∫Ax+Bax2+bx+c+Cmx+nt+Drx+s dx.To…

Q: 2x + 1 Evaluate: (3x – 1) (x² + 2x + 2) 2 In (|3x – 1|) – In (x² + 2x + 2) + 4 arctan (x + 1) +C A F…

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Q: R={ (x,y): 0<x, 0<y, x²+y? <9} be enclosed region. The result of the following double integral (by…

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Q: S tan? 3y sec® 3y dy 2 tan 3y + tan 3y + tan" 3y + C O A none of the choices 2 tan 3y + 1 tan" 3y +…

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Q: Three pens of the same size are to be built along an existing fence. If 480 feet of fencing is…

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Q: 3. Find dy/dx x = Vy + Vỹ 1 + Vx 4. Find the second and third derivative of y = 5. Find dy/dx y =…

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Q: Evaluate Sum 80

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Q: For the integral, / tan'x sec*x dx, if we let u = tan x, what is the re-written form of the…

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Q: So

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Q: 1. A business wants to manufacture a huge closed box with a square base a square top and rectangular…

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Q: Set up the form for the partial fraction decomposition. Do not solve for A, B, C, and so on. 6s +…

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Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers…

A: If f'(x)&gt;0 for every x on some interval I , then f(x) is increasing function . If f'(x)&lt;0 for…

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A: Given query is to find the value of the integral.

Q: dæ Evaluate: 9x² + 4 A None of the given choices B f (x) = -4 ln 9x² + 4 + 2 + C f (x) = -2 ln 9x2 +…

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Q: Question 8 If limx→a J(X): |8(x) lim;-»a [f(x)] = = 1 and limx→a g(x) : = o then, we must have %3D…

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

A: Considerf(x)=x+25xf'(x)=0⇒1-25x2=0⇒x2-25=0⇒x=±5critical points are x=-5, 5

Q: 6 If x=25eco, y=4tan8. Evaluate dy where B= Lrad Ans/-0.2647

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Q: Set up the form for the partial fraction decomposition. Do not solve for A, B, C, and so on. -12x-9…

A: Set the partial fraction decomposition of the given form

Q: When x Va + 4dx was evaluated, the results can be express as F (x) = - (æ + 4) | (x +4)ª – 7 (x +…

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Q: f'(x) = cos x; y (G) = 3 %3D

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Q: tan5 e -y secseс е-У 9. S -dy ey

A: Since, the student has asked to solve question number 9, so we are going to solve only question…

Q: x dx 24) (7x² + 3)5

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Q: 31. Jul = 9.0 = 335°

A: Given query is to find the component of the the vector.

Q: (a) Consider the following. -5 5 5 -5 Identify the surface graphed. O cylinder O paraboloid O cone…

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Q: -is F (x) xỉ (9x“ – 10) where "a" is equal to The antiderivative of f (x): 30 A 12 6. 1 D None of…

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Q: x² xp a) Integration Process b) Antiderivative c) Substitution of limits d) Computod Analycis of…

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