When does the function fAx) = x² – 4x+ 2 have a point of inflection? O a) (0, 0) O b) (-2, 6) c) never d) (2, -4)

Q: What are the endpoints of the latus rectum of (x + 1) = -8 (y + 4) ? O (-1 ± 4, –6) O (-6 ±4, –1) O…

A: We will find the end points of latus rectum as shown below

Q: The productivity of a country is given by ​f(x,y)=14.41x0.427y0.573​, where x is the amount of…

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Q: Use Cramer’s Rule to solve x + 6y − 4z = 10 4x − y − 3z = −8 x + y − 2z = 7

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Q: 4. By using Cramer's rule, find the value óf Y: 2x +3y-2=16 5X-y +2Z = 36 X + 2y -42 =5

A: We have given that  2x+3y-z=16 5x-y+2z=36 x+2y-4z=5       In matrix form  23-15-1   212-4xyz=16365…

Q: What are the domain and range of g(x) = 3√x+4? OD: [3,) and R: [0, ∞) OD: [4,) and R: (-∞, 0) OD:…

A: The given function is: g(x)=3x+4

Q: (d) If F(x, y) = (4x² - y², -2xy), then f(x, y) =

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Q: 5. Differentiate using quotient rule: x+2 y x-2

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Q: Describe the set of all points that satisfy (x−1)(x−3)(x+5)=0(x−1)(x−3)(x+5)=0 if the solution set…

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Q: What is the counterexample of x+x>x ?

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Q: If x < 0 and y > 0, determine the sign of the realnumber. x/y

A: It is given that, x < 0 and y > 0

Q: 4. Determine the number of zeros of the function f(2) = 224 – 2iz³ + 2² + 2iz – 1 in the upper…

A: The complete solution is in given below

Q: Find all points that simultaneously lie 3 units from each of the points (2, 0, 0), (0, 2, 0), and…

A: Let such a point is (x,y,z)

Q: By using false position method find f(x) = e* - 2 u %3D

A: Attached solution :

Q: The distance from the point (-1, -2, 3) to the line x = 1 + 2t, y = 2 - t, z = 3 - 2tis [a] (input…

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Q: If y = (x+1)/(2x - root x' then y' will be?

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Q: If f(x,y,z) = 3zy²e* , grad f =

A: Here we have to find gradient of given function f(x, y, z).

Q: e^3z analytic or not ?

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Q: Coo show that the f(x,y)=X+4xy-3y gdegrad is homogenaow of

A: Concept used: The function is homogeneous of degree n if fkx,ky=knfx,y. Given: fx,y=x3+xy2-3y3…

Q: Help Solve in Product Rule find f’(x) and f’(c) ; g(x)= x^2 - 4 / x + 3 , c=0

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Q: what is the quadratic polynomial for the function f(x,y) sin(xy) + cos(x/y) at (pie/4, 1) (show…

A: We will find out the required value.

Q: 8r2 te V1-4.a

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Q: II. Verify that ду дх дх ду 3 2 2. f(x, у) %3Dх'у? — ху 'y² – xy ³

A: Given function: Now,

Q: Suppose Hx isa one-to-ens tunctien auch that f-3)-5. Which of the following tacts must be trar?

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Q: What is the fxx, fyy, and fxy of f=(2x^4)+(y^2)-(x^2)-(2y)?

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Q: Use Cramer’s rule to solve for x 2x=3y-4z+11 9x+y=z-1 3x-4y=7

A: Given,

Q: D.(1,2), where f(x, y) 14x-y in the directionof v (2,-1)

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Q: Is the domain of y = 4' all real numbers? (ie) continuous

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Q: Verify that 0t ду дх дх ду 2. 3 y 3 f (x, у) %3D 2х*у — х"у — ху

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Q: ) Find an analytic function f(z) = u(xr, y) + iv(r, y) with real part -. -----) u(r, y) = x? – y? +…

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Q: Let f(æ) = Vr² – 5, g(x) = , h(x) = go((gof)+h(x)) at x=-1? Find - %3D 22-9

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Q: Find the slope of the line tangent to the graph of the relation (5x - 34e)(y +5e) = e(x - 10e) at…

A: The given relation is, 5x-34e(y+5e)=e(x-10e) taking ln both sides,

Q: Calculate Vf when f 3x 2- y z' + 4x'y + 2x - 3y - 5 at the point (1, 1, 0).

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Q: A -3 -2 -1- -2- The midpoint of AB = ([ ? ], [ ]) %3D 3. 2. 2)

A: Here,A=(-2,1)B=(1,-1)We know that, mid point of AB isM=x1+x22,y1+y22M=-2+12,1-12M=-12,02M=-12,0

Q: Show that |x + y|≥||x|−|y||, solution without using piecewise function

A: Just I have used the triangle inequality of absolute function and easily prove that the given…

Q: In(r – y) 9-r2 - y?. Vr + y? – 4 Find and sketch the domain of f(r, y)

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Q: Suppose that f(x, y) = 32 y at which {(x, y) | æ² + y² < 3²}.

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Q: Use the characteristics method to solve the problem U, +3yU, = 2U , U(x,1) = f(1+ x,)

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Q: Z=Xi tXz – 2X3 Min Sito X, 4 YXq - Xg =do 2X, +3X2+X > 20 760 Xガフ0jーム2,3 Using M-tech i Lue

A: Min Z=x1+x2-2x3 subject to x1+4x2-x3=10                 2x1+3x2+x3≥20                 3x1+x2+4x3≥60…

Q: ,2,,2 Suppose that f(x, y) = 10x²y² + 6x? + 2y? then find the discriminant of f.

A: We have to find the discriminant from the given function

Q: A ball sits on the point (1,1) and touches the f(x,y)=5-(x^2+y^2). In which direction graph of will…

A: Here is the solution of the given problem.

Q: show that the lines メ-2 = 3-2 モ-3 and %3D 9-3 X-2 = intersect. %3D 2 th

A: Here we will show that given lines are intersecting,

Q: What is the degree of f(r, y) = 2y + Vr2 + y? ?

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Q: 4. Determine the number of zeros of the function f(2) = 2zª – 2iz³ + z² + 2iz – 1 - in the upper…

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Q: Consider f(x, y) = 57x2 +61ry+ 7y? f-(x, y) = %3D and fy(x, y) = %3D

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Q: Solve for the domain and range of. f(x,y,z) = V4-x2-y?

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Q: Eliminate the arbitrary conutantu 2. %3D y= ax + be

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