Let a, b, and c be the last three digits of your student ID. .3 1 How many critical points does the function f(x,y) = ax'+y° - have x+y+a+b+c O 1 2 O infinitely many

Q: 2. 21 Зу 6 Solve : =+ x 3y 3 2 -+==0 х у and hence find 'a' for which y = ax - 4

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Q: Which of the following is NOT an even function? O y = (x - 5)* O y = |a| Oy = 4 - a O y = 3x?

A: For an even function f(-x) = f(x). Check the each options.

Q: Suppose z is implicitly given as a function of x and y, according to The equation: y−zx3=1−yz2 The…

A: Suppose z is implicitly given as a function of x and y, according to The equation: y−zx3=1−yz2 The…

Q: 1-x 1 0 0x=x-7x denklemini sağlayan x değerlerini bulunuz. 21 -1 X 4

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Q: 4. Determine u(z,y) and v(x, y) from the function f(z)=ze²

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Q: Show that 1/2 is an eventually fixed point for

A: T22 or T12 That can be proved as it will have the 12 in the equation, for any fixed point .

Q: Q2/ Find the domain and range for the following functions 1) y = 2) y = x +! 3) y = 3+2 cDsx 4) y =…

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Q: Determine the global extreme values of the f(x, y) = 9x - 4y if y ≥ x - 5, y ≥ -x - 5, y ≤ 7. (Use…

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Q: Find the indicated value of the function f(x,y,z)=2x-7y² + 3z³ - 5. f(9, -4,3) f(9,- 4,3)=

A: Here is the solution:

Q: The domain of y = is A. (-0,00) B. (0,00) C. (-∞,0) D. x + 0 E. x + 1

A: Solution: The domain of a function is the set of input or argument values for which the function is…

Q: At a company, 20 employees are making contributions for a retirement gift. Each of the 20 employees…

A: At a company, 20 employees are making contributions for a retirement gift

Q: Minimize F = x² +y² with x + 2y = 20. O a. F= 20 O b. F= 72 c. F=2 O d. F= 80 e. F= 60

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Q: Find one of the two residues of the function (2z + 3)/(2 - 2) on its poles. а. 0.25 b. 0.75 С. -7/4…

A: We say cauchy residue theorm 2πIota (sum of residues at singularities inside C)

Q: 10, 14, 16, Page 52. Find the real and imaginary parts of the following functions: (a) f(z) = −3z +…

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Q: 2 S- 2 V4+x

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Q: . Let f(x) = ka. Determine the constant a so that f(-1) = 10 and f(2) = 5 19 4

A: Given query is to find the constants of the function.

Q: (3–x*) ane d 2x. Calculate the Wronskian of functions

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Q: Which of the following functions has a vertex of (4,7 O y = (x+ 4)² +7 O y = (x – 4)² + 7 O y (x +…

A: We know that the vertex form of a parabola is y= a(x−h)2  +k  where (h,k) is the vertex.  Thus, for…

Q: Which one is the set of all critical points of the function f(x, y) = x²y + x² - 9y+1? 2 Select one:…

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Q: One of the following is not a critical point to the function fx, y) = 3x2 - 12x +y+- 2y2- 5. Select…

A: Given function is,       f(x,y)=3x2-12x+y4-2y2-5 We have to find critical points of above function.…

Q: Write the domain of the function f. (x) = 3x + 3 %3D O (-", ) O (--, 0) O (0, 0) O x * 0 Ox = 3 Find…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.