Find the maximum point, minimum point, and inflection point 1. y = x³ - 3x? + 8

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A: Given y=x2-1x2+x+1 To find equation of tangent line at point (1, 0):

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Q: Σ k! k=1

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Q: Suppose that a piston is moving straight up and down and that its position at time t sec is given by...

A: Explained below 

Q: 1. Given the graph find y (a) f(-4) 6. (b) f(0) 4 (c) lim_f(x) X-4 (d) lim f(x) x→-4+ T ||► x 24 6 (...

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Q: Find the derivative of the function. Show your complete

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Q: Determine the point(s) at which the given function f(x) is continuous. 8 f(x) = x-4 - 7x Describe th...

A: The objective is to determine the set of x values where the function is continuous. 

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Q: At 3:15 pm, a metal ball has a temperature 80°F is taken outside where the air temperature is 20°F. ...

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Q: EXz show that J. (x) 2 sin X %3D Sols- J Cx). (-D X zm+ i (m+ +1) M=D0

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Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

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Q: Cosx 3. 3 cos r - 5 d.r, Use z = tanr |

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Q: Rank the magnitudes of the directional derivatives in the directions of vectors a, b, c and d at poi...

A: We need to find order of vectors.

Q: Use linear approximation to estimate f(3.85) given that f(4) = 5 and f'(4)= 6.

A: Given: - The values, f(4)=5 and f'(4)=6 To estimate: - The value of f(3.85) by using linear approxim...

Q: Зх-1 dx; J x²+10x+28 Зх— 1 Sa :dx (x + 5)² + 25' Зх — 1 -dx Ja+ 1)² + 1 Option 3 Option 1 Зх - 1 dx ...

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Q: +o0 S 13 In n n=1 Determine whether the sequence converges, and if so find its limit. If the sequenc...

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Q: Find the exact value of sin 20, cos 20, tan 20, and the quadrant in which 28 lies. sin 8= 48 0 in qu...

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Q: otential function? Show by example how to find a for a conservative field. How can you tell when ve?

A: We have to define potential function and explain  how to find potential function for a conservative ...

Q: COla-sina COIa- da sin (2a)

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Q: Which of the following statements is TRUE? a. If f '(3) = 5 and g '(3) = 4, then the graph of f (x) ...

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Q: 2.Determine the convergence of the following sequences {b»} = (1- ).(§-).(E-9.(G-).-.

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Q: #13 and 17, differentiate the function

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Q: Given the function f(x) = x² – 2x, what is equation of the tangent line to the graph of f at x = -1?...

A: 1. f(x)=x2-2x at x=-12. f(x) and g(x) are differentiable functions, f'(x)=3x and g'(x)=2x23. f(x)=xx...

Q: Find an equation of the tangent line to x^2y^3 −y^2 +xy−1=0 at (1,1).

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Q: Find Vf at the given point. f(x,y,z) = x° + y? - 4z? +zInx, (1,2,5) Vfl(1,2,5) =i+(j +(_])k (Simplif...

A: For a given vector fx, y, z the gradient vector denoted by ∇f is ∂ ∂ xf∂ ∂ yf∂ ∂ zf=∂ ∂ xx3+y2-4z2+z...

Q: f (x) = v2 – x at x = 1

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Q: For the function f(x,y,z) = In (6x + 7y + 4z), find fx, fy, and f,.

A: Given: f(x,y,z)=ln(6x+7y+4z)To find the fx, fy, and fzddx (ln x)=1x  

Q: alcuTUS and 71TIany ti 10. Use the ɛ -8 definition to prove the following limit. x2 -2x 8 lim = 6 x-...

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Q: Jrin m In(cos m) dm

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Q: Evaluate by any applicable method. S sin (y) cos" (G4) dy None of the choices. Please refer to my so...

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Q: Use any method to determine whether the series converge. 1 (a) 2 k? + 2k + 1 k=1 This series converg...

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Q: dx Evaluate: Jo JA4-x² ' o V4- O 1/6 O T/2 T/3 O None of the choices ООО О

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Q: Evaluate the integral. ,2 X- + x + 1 dx o (x + 1)2(x + 2)

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Q: dx 9(+x²)' tan 2 2 none of the choices Option 3 3x tan + C tan 2 O Option 2 Option 1 +

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Q: 51. Suppose that 1 A = and D = 2 | Find X such that AX = D by (a) solving the associated system of l...

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Q: 3.Determine the convergence of the following series. For a series replace sign, if it converges, Als...

A: a) ∑n=1∞15n3+2n

Q: ,2 + 5х + 4 f(xæ) х — 1

A: For x-intercept substitute f(x)=0⇒x2+5x+4x-1=0⇒x2+5x+4=0⇒x2+4x+x+4=0⇒x(x+4)+1(x+4)-0⇒(x+4)(x+1)=0⇒⇒x...

Q: secn-2 1 8. Derive the reduction formula sec" r dx a tan a + sec"-2r dr.

A: To derive the reduction formula.

Q: 10. y(2x -x'y + y³)dx - x(2x³ + y³ )dy = 0 %3D

A: Explained below 

Q: Deremine whether the given seauarce converges cliverges or If it conerges, calculate the limit: an=

A: Given:-an=3+-2nnsolution:-an=3+-2nnan+1=3+-2n+1n+1limit of the siquenceL=limn→∞an+1an  

Q: b. Find the critical values. Determine the intervals where f is increasing and decreasing. Find any ...

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Q: Calculate 121x dxdy where R is the parallelogram with vertices (0,0), (6,2), (7,6) R 1 -(v — Зи), у ...

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Q: sect tan Od0 Identify the cose correct u A tane B sec® (c) sec²0 D coso E None

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: 2. -4

A: Our Aim is to evaluate the integral given below:-∫dyyy8-4 -(i)

Q: (-1) cos[cosh (In ")]dr 4.

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