6. How many mappings are there from A to B where A={1, 2, 3, 4} and B = {Low, Middle, High}. How many of the mappings are surjective? %3D

Q: Let f(x,y) = x sin ry. Find: (a) fr(T,y) (b) fy(x, y)

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A: ex+ydx=e-2ydydydx=exeye-2ydydx=exe3y∫e-3ydy=∫exdxe-3y-3=ex+cPut x=0,y=0, we get c=-43So, e-3y=-3ex+4

Q: Prove that there is no permutation a such that al(12) a = (34) (15).

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Q: Easy multiple choice, use attached photo to solve. Thank you! d>a>c>b is incorrect. I will rate and...

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Q: (f) Let A, B and C be three sets. Prove by contradiction that if An B C C and r E B, then x ¢ A – C.

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Q: 2 cm 1 cm 2 cm 7 cm

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Q: Calculate the simple interest earned when P = $15,000, r = 7.5%, and t = 70 days using the ordinary ...

A: The formula to calculate the simple interest is given as follows:

Q: QUESTION 3 Let f be a function of x and y, and suppose that f(1,0) = 5. Suppose that v/(1,0) = (-3,4...

A: Given for a function f of x, y that  f(1,0)=5∇f(1,0)=-3,4 we have to check correct options for ∇f(1,...

Q: 2. Given the points (1,0.7),(2,0.73),(3,0.8),(4,0.75),(5,0.6). Use Lagrange polynomials to find the ...

A: Given points are xi 1 2 3 4 5 yi 0.7 0.73 0.8 0.75 0.6 Here, i=0, 1, 2, 3, 4.

Q: Evaluate the given function ƒ sin*xdx sin(2x) 3x а. 8. sin(4x) + C 32 4 sin(2x) sin(4x) + C 3x b. 8....

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Q: (f) Letf : A →→ B and g : B → C be functions. Prove that if g of is one-to-one, then f is one-to-one...

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Q: 1. Find the linear regression 0.7 0.96 1.13 1.57 1.92 0.19 0.21 0.23 0.25 0.31

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Q: Sketch. the..region.cf.inbegratizon.and.evaluate.. theu. fallowing.integrals.4 A..

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Q: Calculate the simple interest due on a six-month loan of $800 if the interest rate is 2.2% per month...

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Q: (a) Insert 4 arithmetic means between 1 and 15. (b) Insert 5 geometric means between 3 and 192.

A: Introduction: Suppose, in a sequence, the elements are in such a way that the difference between two...

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Q: -1 -2 -4 Find the eigenvalues and eigenvectors of the matrix A 4 3 3 %3D and d2 = and dz = 15

A: To find- Find the eigenvalues and eigenvectors of the matrix A = -1-2-4040-303

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Q: the Curve y=2x=3== r x + 20 where the tangent is parallel to the X-aXis Find the points on 12 X + 20

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Q: Find the paint the Surface Z = I+ xy thet is hearest on to the origin ·

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Q: Q.1. Prove that if the series En=1an is convergent then the sequence an is convergent.

A: Consider , ∑n = 1∞an be an infinite series. We have given that series is convergent. Suppose , the s...

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Q: If A={a,b,c,d,e,f} and B={k,l,m,n}, then find the Cartesian product ? × ? of A and B.

A: We have to find the cartesian product of the given sets A and B. The cartesian product is defined as...

Q: 3 3 fx J,cx) dx = (x-4x)J, CX) +2x J,cx)+c (x-4x)J, CX) +2x JoCX) +c

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Q: QUESTION 1 Let f(x,y) = 3xy. Find the directional derivative of f at the point (1,2) in the directio...

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Q: Let y = - ty + 0.ly and y(0) = 0.72. Use Euler's method to find approximate values of the solution o...

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Q: (a) Insert 4 arithmetic means between 1 and 15. (b) Insert 5 geometric means between 3 and 192.

A: To find-  Insert 4 arithmetic means between 1 and 15. Insert 5 geometric means between 3 and 192.

Q: The number of solutions (x,y,z) belong to Z*Z*Z for the equation  X2 + Y2 + Z2 = 2100 + 15 is: a) i...

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Q: ly for 8 ye

A: In this question, the concept of compound interest is applied. Compound Interest Compound interest i...

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Q: Find the derivative of the function f(x) = / (x³ + 7x) by using the definition of the V derivative.

A: