x2 +y? +z? - 4x + 8y – 2z = - 12

Q: f has a local minimum when x = -2

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Q: ら)1f u-L -*9 sin (2x ty), x = s? + 2t" and y= 2s -t" au using at find the chain rule Ond as

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Q: Could you help me with part b) also please?

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Q: Using Green's Theorem, evaluate (sin z – y) da + (a³ + e") dy where C'is the circle x2 + y = 4.…

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Q: Solve using Lagrange Mult ipliera, fenal anewere phould have 4 decimal placia. Find the maximum and…

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Q: 3. If 100x units of a particular commodity are demanded when p dollars is the price per unit, x² +p²…

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Q: (2) Find the following a f a.) f (x,y) = cos (x y) -x³+y4, find D fyx and i) axaxa %3D

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Q: Determine the linear approximation of f(x) = x at x = 1. O a. Not in the list О b. у3 3х +2 с. у %3…

A: A detailed solution is given below.

Q: Evaluate the following integrals. Use only the variables "u" (and "v" if applicable) in your…

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Q: where did you get 9.9999

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Q: Find the domain and the vertical asymptotes, if any, of the following function x²-3 x²+10x+21° O a.…

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Q: After a person takes a pill, the drug contained in the pill is assimilated into the bloodstream.…

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Q: Find an equation of the ellipse with minor axis length 6, and vertices (3, 1) and (3,9).

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Q: Find the second derivative of x² y² + xe = 2 sin y

A: Solution is given below:

Q: The answer is incorrect I think because I submitted it on the first time it was.  Kindly resolve it…

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Q: Find the tangent plane to the equation z = 2y cos(5z – 4y) at the point (4,5, 10) z = 2y- 2= 0 X…

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Q: 6. Where are the following functions di: x+2 a) f(x) = %3D V(x+2)x

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Q: cos-1 x dx cos х ах

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Q: Directions: Read carefully and solve for what is asked in each problem. ds 1. Given the velocity v =…

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Q: Find the intervals on which​ f(x) is​ increasing, the intervals on which​ f(x) is​ decreasing, and…

A: To solve the following function properties

Q: 5. Given y = af(+ 1), Find when x=1 if f(2) = 4 and f'(2) = 5. dx

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Q: e 3x (d) lim X→0 5x+200

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Q: Select one: O True

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Q: Differentiate f(x) = [(3x4 – 5)(2x³ + 9x – 6)]3 and solve for f'(2).

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Q: -1 Differentiate y = sin (sec(4x?)). %3D 82 tan(4a?) sec(422) A. y' 1-sec2 4r2 8æ tan(42²) sec(4x²)…

A: We will find the derivative of the given function in the following step.

Q: Consider the function f(x) = x2 -1 %3D (a) Find the intercepts of the graph of f (if any). (b) Find…

A: The given function is: f(x)=xx2-1

Q: H.W : The region bounded by the curve y= x² and the line y=3x is revolved about a) x-axis b) y-axis…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: (x+y–1)dx+(2x+2y+1)dy=0 Coefficients Lincar in Two Variables: %3D

A: The given equation is: (x+y-1)dx+(2x+2y+1)dy=0⇒dydx=-x+y-12x+2y+1⇒dydx=-(x+y)-12(x+y)+1...(1)

Q: 3) Find the area of the region bounded by x2 = y and y = 1. a. 1/3 sq.units b. 2/3 sq.units c. 4/3…

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Q: The graphs of the first and second derivatives of a function y = f(x) are given below. According to…

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Q: 12 - r), 2. Suppose f(r) = {0, if r> 2 if r = 2 |4 – 2*|, if r < 2. if r< 2. (a) Find lim f(z). +2+…

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Q: a) ): Explam why the following series Σ (-1)"-1 1+ n3 n=1 is Alternating. b) Use the Alternating…

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Q: why did we put x = 1? the final answer i got is 49/e, please double-check

A: After double checking the detailed solution is given below

Q: Consider the contour represented in the following figure. The points marked on the figure are А(5,…

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Q: Select the correct answer. 12 , 30 lim Sn? what is the value of noo If O A. 24 O B. 50 OC. 84 OD. 75

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Q: J-in3 ex+4 4. (T/4 3csc22x dx Ja/8

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

A: 3) f(x)=1/(2x)  4) f(x)=(2x-4) /(3x) +1

Q: 1. Find the volume of the solid generated by revolving about the indicated axis the area bounded by…

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Q: For the following function, find its inverse. f(x)= In(5x – 8) - a. f'(x)= (e* - 5)/9 b. f'(x)= (e*…

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Q: 35) y = -4 sin x 4+ 2+ 2n -2+ -4-

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Q: Find the second derivative of + e® sin y + 3xy = 0 y? %3|

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Q: dy Solve of y = log3 (2x + sin a). %3D da A. y' cos(x+2) 2x In 3+ln 3 sin(x) %3D cos(x) +2 2x (2 In…

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Q: A quadratic polynomial y = 4x +7x-3 has roots pand q. Find a quadratic g(x) +ar+B with roots r= and…

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Q: 1. Find the volume of the solid generated by revolving about the indicated axis the area bounded by…

A: We can solve this as follows:

Q: Find the center and the radius of the sphe- x2 +y? +z? + 6x – 4z = 0

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Q: Find the derivative of the function. 3 ew r = 8w dr dw II

A: Solving the problem by finding the value of the derivative.

Q: B. Find the value of x for which Inx + (Inx)2 + (Inx) + (Inx)* +.= 9

A: Use the formula of sum of infinite gp series and then simplify.

Q: Decide whether or not the given integral converges.   +∞ 4 x1.5 dx   1

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Q: On step 5, where did the 8 come from in x-3+8?  This is where I'm stuck

A: ∫au+bn du =1aau+bn+1n+1+C ∫11-u2 du =sin-1(u)+C