Find f'(x) and find the equation of the line tangent to the graph of f at x = 1. f(x) = (2+4x) (6-5x) f'(x) = | II ...

Q: 3. Triple Integrals in Cylindrical and Spherical Coordinates a) Evaluate b) Evaluate R x²dV where R…

A: Concept: Integration by parts: ∫f(x)g(x)=f(x)∫g(x)dx-∫f'(x)∫g(x)dxdx The cylindrical coordinates…

Q: Let f(x) = sin(x), on [0, 2π), solve f(x) = x = Preview - V2 2 Preview

A: NOTE: Refresh your page if you can't see any equations. .

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A: Given query is to find sequence converges or diverges .

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A: The answer is in step2.

Q: Let f(x) = x³ + 6x² (a) Use the definition of a derivative or the derivative rules to find ƒ'(x) =…

A: Given function:- fx=x3+6x2-96x+19

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Q: 8.) f(x) = (x+3)(x-4) 2(x-1)(x+2)

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A: Given query is to find the equation of the line.

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A: The given initial value problem is: dydt+y-tt2+y2t-yt2+y2=0 ;       y(4)=3

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Q: or problems 1-3, prove the given identity. 1. tan(-x) cos x + cscx sinx = 1 - sin x

A: Prove the Identity

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A: See this solution in below.

Q: equation, find dy/dx evaluated at the given values. y²-x5= = -7 at x = 2, y = 5

A: Topic:- application of derivatives

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A: Concept: Integration  ∫xndx=xn+1n+1+C.....(where C is constant) Green's Theorem: Let D be the area…

Q: In Exercises 21 - 30, eliminate the parameter in the given parametric equations. 21. x= 2t +5, y =…

A: Given: x=2t+5 y= -3t+1

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Q: Find by implicit differentiation. dx x² - xy + y² = 1 dx X

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Q: Find the centroid (x, y) of the region that is contained in the right-half plane {(x, y) | x ≥ 0},…

A: As we know the expression for the centroid. x¯=1A∬xdydx and y¯=1A∬ydydx Where Area=A=∬dydx   From…

Q: where c = m = 8 6 -3 4 2 -4 -6- -8- -10- The net signed area in the above graph can be written as…

A: See below the answer and explanation

Q: Please

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Q: -14T +7-4x 2. (a) Evaluate lim (b) Determine the equation of the vertical asymptote of f(x) = -14x

A: 2a)

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Q: Which of the following represents the series: −13+(-7) + (-1) + 5+11 Σ -19-6K k=0 5 Σ -19+ σκ k=1 Σ…

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Q: Remember when answering True/False questions that you should only answer "True" if the statement is…

A: A non-empty subset W  of a vector space V(F) is a subspace of V if and only if au+bv ∈ W for a,b…

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Q: would you mind typing it out I cant really read it thank you

A: When the numerator of a fraction approaches zero the value of the fraction itself approaches zero.…

Q: Let f(x) = x³ + 6x² − 96x + 19. (a) Use the definition of a derivative or the derivative rules to…

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Q: 45; and interpret the results. 46. Supply. A supply function for a certain product is given by S(p)…

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Q: 7. For the function f(x) = 4x 3 + 3x2 − 6x + 1, D = (−∞, ∞) (a) Determine on which intervals f(x)…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Given f(x, y) = 2e¹* sin(3y) ㅠ then Vƒ(0, ▼ ƒ(0, 7/2) =

A: As we know that ∇f=∂∂xi^+∂∂yj^(f)See below the answer and calculation

Q: Let f(x) = f'(x) = - - 9 cos x + 4 tan x ƒ'( - 7) = =

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Q: If f(x) x+1 4x 3x + 5 13x + 5 3x + 3 13x + 1 3x + 2 and g(x) = 3x x + 3' then (gof)(x) is

A: given  f(x)=x+14x                        g(x)=3xx+3           gof(x)=g(f(x))

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Q: Find all horizontal and vertical asymptotes (if any). (If an answer does not exist, enter DNE. Enter…

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Q: (2) DE (D² D²-70³-11 0²-80-12/9=0

A: A detailed solution is given below.

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Q: 1. Evaluate the given integral [(4x³ - 3√x) dx 12x² a. - 3 2√√x + C 2 1x²-3x² + c x4 X2 C 4 b. 3 x4…

A: Solve the intregal

Q: Find the angle between the vectors in radians and in degrees. (Round your answer for part (a) to…

A: Topic = Vector