Are the partial derivatives and gradients of a function the same, no matter your starting position?

Q: For f(x)=x4 - 2x2 +6 find the following. (A) f'(x) (B) The slope of the graph off at x = 3 (C) The…

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Q: The function ³ - 3x² has a point of inflection at x = 2 x = -2 Ox=0 O x = 1

A: Let the function,   f(x)=x3-3x2

Q: Determine the area of the shaded region given in the following figure. The area of the given figure…

A: We have to find the area

Q: Give the equations of any Vertical Asymptotes of f(x). Also find the equation of the Horizontal or…

A: The function is given by fx = 3x2+5x-3x2+3x-10 To evaluate: The equation of vertical Asymptotes and…

Q: O Differentiate Y 2 +1 3/2

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Q: Use the four-step process to find f'(x), and then find f'(1), f'(2), and f'(3). f(x) = 4+7√√x f'(x)…

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Q: Question Describe the relationship 9 a function point inverse between and a of a function point on…

A: We have to write,What is the relationship between a point on a function and a point on the inverse…

Q: Problem #3: Find the following derivative (assuming that r(t) is differentiable). Problem #3: [r"(t)…

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Q: Question 9 of 10 Consider the piecewise function f(x), where A is a constant: (s) to discont Ta n…

A: for limit to be exists we have the following conditionslimx→2-f(x)=limx→2+f(x)

Q: Find a formula for the nth term of the sequence. 1,-4, 9, -16, 25, ... Determine the sequence's…

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Q: The total cost (in dollars) of manufacturing x auto body frames is C(x) = 50,000 + 700x. (A) Find…

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Q: Compute the first four partial sums S₁, an = n S₁ = 1 S₂ S3 S4 = II = = .../ S4 for the series…

A: Let's find partial sum.

Q: Find ¹ d dx 1.8 √x -4,2x²2 +7x).

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Q: ra a²-y² L". Sve²=v² a²-x²-y² . (x²z+y²z + z³) dzdxdy a²-x²-y²

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Q: A.)Find the first five partial sums of the given two series and determine whether they appear to be…

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Q: Use the comparison test to determine if the following series converges or diverges. sinn 9/2 n=1 n…

A: We have to check the series

Q: ese²x Evaluate Cotx 3. dx

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Q: For the next three exercises, determine whether the integral converges or diverges. 1+ sin a S 3 71…

A: Let's solve given integral is converges or diverges.

Q: (2 ofy f (x, y) = Find dy 3x²-y + 5x²y² 2 3

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Q: Equations with the Dependent Variable Missing For a second-order differential equation of the form…

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Q: Give the equations of any Vertical Asymptotes of f(x). Also find the equation of the Horizontal or…

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Q: Crystal made equal deposits at the beginning of every 3 months into an RRSP. At the end of 6 years,…

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Q: For a as follows, write the sum n = 1 a1 = and 1 19 an= an an+1 Σa as a geometric series. 'n = -19…

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Q: 1 How many Os are in the product of 4 x 100? 4 X 1,000? 4 x 10,000? How do you know

A: We have to find out zeros

Q: Find the area of the given region. y = sin(x) R|C I

A: We are asked to find the area of the region

Q: What is the average rate of change of the function f(t) = t² - 7t between t = and t = -4? -10 -14…

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Q: Find dx dx 0.4 0.4 -3.3x4 + 5x -3.3x-4+5x

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Q: Write the first three terms of the sequence. an = 5n-4 2 n² +4 a3 The first three terms are a₁ = ₁a₂…

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Q: 8. Find the limit (if it exists) of the sequence (x_n) where x_n= [1+(1/n)]^n.

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Q: Which of the following indicates that the graph of the function f(x)has a horizontal asymptote at y…

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Q: Question 18 Which of the following functions is not continuous on the interval [0, 3 f(x) = ²³16 Oh…

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Q: Suppose f(x) √₂+² = √1+tdt 2x find f'(1).

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Q: Find the surface integral of the field F(x,y,z)=9xi +9yj +9zk across the portion of the sphere x² +…

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Q: of the following answer choices represents the limit definition of the definite inte n sum? he…

A: We are asked to find the which of the following is limit of definition of definite integral below…

Q: A car sharing service offers a membership plan with a $40 per month fee that includes 10 hours of…

A: A car sharing service offers a membership plan with a $40 per month fee that includes 10 hours of…

Q: Find f'(x) if f(x) = 9x x7/5 – 5x2 + 10000. O A. f'(x) = 632/5 - 10x 5 OB. f'(x) = 63, 6/5 - 10x 5 O…

A: The objective of the question is determine the derivative of the given function and choose the…

Q: X-7/7x+1 find the concave upward and downward

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Q: Let f(x) (1) (ƒ + g)(x) = = - 9x + 8, g(x) = x - 1, find the following: (2) (ƒ − g)(x) = - (4) (3)…

A: To find the value of given function and their domains.

Q: lim x→0 x⁹⁹ sin (7x) (sin x) 100

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Q: Determine the solution y2(5) of the differential equation, given that it is satisfied by the…

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Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and…

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Q: Let f(x) = 5x²-29x-6 x² +19x 150 (A) lim f(x) X-6 Find the indicated quantities, if they exist. (B)…

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Q: Which of the following indicates that the graph of the function f(x)has a horizontal asymptote at y…

A: Solve the following

Q: x² 4+x² 2 dx

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Q: Question vector equation Let C be a curve defined by the r(t)=. Show that the point P(-5, 11, ½)…

A: Solve the following

Q: Given that lim f(x) = 4 and lim g(x) = -2. Find the value of x-2 x-2 lim 4f(x) + x-2 [g(x)]³ ) 2

A: we find the value of given limit

Q: If f(x) = x¹ +4, g(x) = x − 2, h(x) = √√√x, then fogoh(x)=

A: This question is based on function.

Q: Find the general solution of the following differential equation. 121y" - 4y = 0 NOTE: Use c₁ and co…

A: To find general solution.

Q: Find each indicated quantity if it exists. Let f(x) = |x-18] . Complete parts (A) through (D). x-18…

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Q: Solve given differential equation. ydx-xdy+2dx=0 

A: The objective of the question is solve the differential equation.