determine maximum/mininum local values and its saddle points for this function  f(x,y) = 3x^4 + 3y^4 - 12xy + 3

Q: The function values f(x) in the table below is increasing for 0Sx< 12. 0 369 12 f(x) 34 35 37 4244…

A: (A)∆x=3Then right hand sum =∆x(f(3)+f(6)+f(9)+f(12))                                =3(35+37+42+44)…

Q: Let y = f(x) be some function and suppose f(4) = 3. %3D If the tangent line to f at a 4 passes…

A: On solving this we will get

Q: Find the area of the surface generated by revolving the given curve about the y-axis. 8ry 2y+1,…

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Q: consider a function f (x) vihose derivative f"(x) is continuous as shown belowr. Graph of f'(x), NOT…

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Q: stead of f(x)). E

A: answer is in next step

Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = 10xe…

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Q: "If a function is continuous at some point then it must be differentiable at that point". Do you…

A: No, i am not agree. If function is differentiable then it continuous , but not vice versa. For…

Q: j(r) = e sech

A: The given function,      jr=esechr2+2r

Q: What is the volume of the solid formed by revolving the region bounded by 6y =x2 and 6z ? %3D %3D…

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Q: Question 2 Find the volume of the solid generated when the region enclosed by the given curves is…

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Q: 4- The number of element in the sample space when you flip 3 coins together c) 6 d) 12

A: We can solve this as follows:

Q: 1. Find the derivative of the following: (Simplify your final answers.) r(8) = tanh-(cos 0) +…

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Q: Find an equation of the tangent line to the graph of the function at the given point. Function Point…

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Q: determine which statement is true (A) Not a function (B) Function; domain: R (C) Function;…

A: This is a function problem

Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (i) 2' of…

A: As per guidelines we can answer only three subparts questions at a time, if you need more answers…

Q: 3x2 + 4x + 1 dx 2. 2x2

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Q: The equation y²(y²-4) = x2(x²-5) is known as the devil's curve. Give an equation for the tangent…

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Q: 53-58 A particle is moving with the given data. Find the posi- tion of the particle. 53. v(t) =sin t…

A: We know that if 's' is position of a particle at a particular time 't' then velocity v (t) and…

Q: j. r (0)=tanh (cas o)+ cos h (e)

A:

Q: 5-10 Plotting Points in Polar Coordinates Plot the point that has the given polar coordinates. 5.…

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines…

Q: 6. sin v- -2 cos Va + C %3D 4x2 1. Ja-8 dx = 18 (1-8x)4 (1-8x3)4 8. Se*dx =+ %3D In e

A: As per the instruction, we will be answering only the first three subparts. For (6),    ∫sinxxdxLet…

Q: fa |(1 + 63*(6) ds 25 – x² (– 2x) dx

A:

Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (i) '2' of…

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Q: Find the limit. lim (t i – 3 j + t² k) t→8 Exact number, no tolerance. lim (1 i– 3 j+? k) i+ i j+ i…

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Q: A point starts at the location (x, y) = (6, 0) and moves CCW along a circular path that is centered…

A:

Q: 1 3. (x+1)(x²+4)² dx

A: The given integral is  1/[(x+1)(x2+4)2].

Q: Use the given information to find the indicated probability. An B = Ø, P(B) = 0.1, P(A U B) = 0.1.…

A: Solution - Given:-  P(A U B) = 0.1 ,  P(B) = 0.1  P(A) = ?

Q: Graph the function and find its average value over the given interval. g(x) = |x| – 1 on [-1,1]

A: We have to draw the graph and average value.

Q: Find f. (a) fi" (æ) = sin æ, f(T)= 2, f'(7) = 3. %3D %3D (b) f' (t) = 2 + , f(1) = 1.

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Q: Question Consider the function f(x) below. Over what open interval(s) is the function increasing and…

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Q: Question Supposef is continuous on [1, 8] and differentiable on (1,8). If 12 <f'(x) < 13 for all…

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Q: Evaluate: S Vx(x – 5)dx

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Q: The equation y? (y² – 4) = x² (x ² – 5) is known as the devil's curve. Give an equation for the…

A: Given  :

Q: A plane P, in R'is perpendicular to the vector i = (6, 6, 7), and contains the point (3, – 7, – 5).…

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Q: 1. Find the derivative of the following: (Simplify your final answers.) f. Q(x) = Jx + Vx + :+ ...

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Q: 2 4

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Q: Use the mean value theorem to prove the inequality for all a and b: Isina – sinb| < |a - b|.

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Q: An iron block weighs 5.2 N and has a volume of 272 cm³. What is the density of the block in kilogra…

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Q: 16) Rewrite the integral 10 3(1 – z/10) 7(1 – y/3 – z/10) dx dy dz in the order dz dy dx.

A: To rewrite the integral ∫010∫031-z10∫071-y3-z10 dx dy dz in the order dz dy dx

Q: Question 6 Use cylindrical shells to find the volume of the solid generated wher the region enclosed…

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Q: Region is bounded by y=x y=x2 Rotate about x=2. Find the area. Please help

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Q: Activity 2. Antiderivative of Trigonometric Functions Directions: Evaluate the folowing integral.…

A: To find the antiderivative of given functions.

Q: (a³-8) g(a) = (Va²+4)* .3.

A: The given function,     ga=a3-86a2+43

Q: The function g(t) = (8t)t – cosh? t + sinh? t satisfies gʻ(c) = 0 for which value of c?

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Q: Consider the following function. X - 4 f(x) = x2 + 20 Find f'(x). f'(x) = Find all singular points…

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: The region is bounded by y=21-22, x-axis, y-axis and y=20 revolved about y-axis.

Q: Let f(x) = 1, for all x E (0,1). Is f continuous on (0, 1)? Is f uniformly continuous on (0, 1)?…

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Q: The reverse order of J Só 3xe dydx is equal to 2(e - 1) е - 2 -e

A: After changing the order of integration, solve it.

Q: Let R be a variable and r a constant. Compute the derivative. d :(° · R') = dR

A:

Q: 20-1 to -5 -10 Find the aren et he regpen endosad by Hhan gaco p he serkicd lie X =1 an2 %3D

A: Given the query is to find area enclosed bybthe curves.