What does it mean to be a "function"? How can you determine function ality of a relation set or equation graph?

Q: dn -f(D) · P(D) dt di – (23 – 2)f(D) · P(D) ·D |3| dt The average diameter of the drops is simply ex...

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Q: 4. In the figure, if AB = AC and BO = OC. Prove that ZB = C .C B

A: a). Given: AB=AC and BO=OC Prove: ∠B=∠C

Q: Problem 2: Determination of Flux using Surface Integration A surface of x? + y? = 4 for z = [0, 3] i...

A: Given: Surface x2+y2=4 for z∈0,3. Vector field Fx,y,z=4xi+2y2j+z2k. To do: Graph the surface and ...

Q: Find 2t Trans form of dacivative for d²f and da f

A: 1st question is not clear I need more information to solve.

Q: (:) * () for n eN = {1,2, 3, ..}. Let an = sin-1 sin n+ (a) Determine if the sequence {an} converges...

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Q: 1. Find the local maximum and minimum values and saddle point(s) of the function. If you have three-...

A: This is a problem of multi variable calculus.

Q: 2- Solve the following system of equations using the Gauss and Gauss-Jordan elimination methods. 2x1...

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Q: an = 4аn-1 — За,-2 + 2" + п+3

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Q: OLine 2 メ+スy AN て て)ト LINE 4 2+2 そ C. 1 ANT in UI +( ) - () 1 ANN s + zp ネナス b AN そて十てる 2+2 てん て)を 8...

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Q: c Given dy/lde =yal and when y=49, x =2, find the value gx when y= 49. %3B

A: As mentionedin question, solution of part c is here below.

Q: 2. Let X1 and X2 be sets. Define functions T : X1 × X2 → X1, T2 : X1 x X2 → X2 by T| (X1, x2) = x1, ...

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Q: Let B = {1,2,3}. We construct a graph G = (V, E) on n = 6 vertices with vertex set V = P(B)\{0, B}. ...

A: Given B=1,2,3. Consider a graph G=V,E, whose vertex set is V=PB\ϕ,B. Since B=1,2,3, therefore PB=ϕ,1...

Q: 18.8. (a). Let y be the contour z = ete, - T<0< T traversed in the positive direction. Show that, fo...

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Q: (2r + 3)" =1' V 2n +n – 1

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Q: 7. Find the minimum of, f(x1, x2) = 2xỉ - x1x2 + 2x3 + x3 – 2x1x3 And check the second order conditi...

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Q: Solve (D5 + 3D4 + 4D³ + 12D²) y = 32 cos (2x) + 3e3z 16 sin (2x) -

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Q: Determine the values of a, if any, for which all solutions of the differential equation y" – (2a – 1...

A: Given: Let us consider the given second-order homogenous equation yιι-2α-14yι+α2-14α+40y=0.

Q: See equation below. Find the value of a + b. (Answer must be an integer) 1 1 sint (a — аcost) (s2 + ...

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Q: Solve y" (t) – 2y' (t) + 5y (t) = H (t); y (0) = 0 ; y' (0) = 1; where H (t) = t – 2 if 0 2

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Q: Given f(x, y) = x²y – 2xy + x² – 2x + y² – y. (a) Find the critical points of f. (b) Use the Second ...

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Q: Determine the values of a, if any, for which all solutions of the differential equation y" – (2a – 1...

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Q: Create a euler diagram to verify if the arguments are valid or invalid p: Some NBA players have a h...

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Q: 4. Prove that 17– 3v3~ 83 + 47V3 in Z+ ZV3. 5. Prove that 6 is not a prime in Z + ZV-6. 6. Prove tha...

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Q: Show that the product of two Hausdorff spaces is Hausdroff. Need typed solution, otherwise I will d...

A: Let  X1 , T1  and  X2 , T2  be any two Hausdorff topological spaces. And  X , T  bet the product spa...

Q: (4) Are the following equations exact? Solve theinitial Value 8- a) 3y²dx+Xdy=° CYCI) =t), b) 2xydy=...

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Q: A loan payment of $1700 was due 60 days ago and another payment of $1200 is due 45 days from now. Wh...

A: Solution:-

Q: Use the First Derivative Test to find relative (local) maximum points or mini points, if any, of the...

A: Let us find the local maximum points or minimum points of the given functions and  determine the ope...

Q: (x+2y-)み + (2メ+y+)dy-o let メーuー1, dx = du yev-l, dy edy UNE 1 LINE 2 レINE 3 (1-1+ 2y- 2-1) du + (2u-...

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Q: A company that produces ribbon has found that the marginal cost of producing x yards of fancy ribbon...

A: This is the problem of left Reiman sum.

Q: You have 20 pennies, 30 nickels, and 40 dimes. Assume that the pennies are identical, the nickels ar...

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Q: - Use the graphs of = irection in which the curve is traced as t increases. = f(t) and y = g(t) to s...

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Q: ey Maximine 2.

A: This is the problem of multi variable calculus.

Q: If the bound of error greater than zero, the polynomial is------than the .function not equal O its a...

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Q: 4. Define the followings:            i) Forward and backward difference operator            ii) ...

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Q: W; by using Adams-Bashforth method to the following initial-value problem; y' =1+2. 1s1s2, y() = 2, ...

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Q: Ofcx)= 3x-1 2xくI O fox) = ーX)そく2 olim x*+3x²+ x+2 2 xu + 2x* +1 X→の

A: As per the company rule, we are supposed to solve the first three subparts of a multi-part problem. ...

Q: Find the solution set of the following inequalities: (x+3)(x-2) > 0 1. (x+2)(x-1)

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Q: 28. What is a matrix?

A: Row: When we make an arrangement of the numbers, letters or symbols from left to right, then this ar...

Q: 1 2 2 1 4 2 7 5 2 -1 4 -6 3 1.

A: Upper triangular matrix is a matrix in which the elements below the main diagonal elements are neces...

Q: Q5. Find the Laplace Transform of the functions x(t) and yıt), which satisfy the coupled first diffe...

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Q: you are given the foll awing sets. which of them closed under are scalar multiplication? (may be mor...

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Q: Find the roots of z3= -2

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Q: Exercise 11. Prove that if f: E R is continuous at p E E, then there exists & >0 so that f(x) is bou...

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Q: differential equation.

A: We will solve this DE by using power series 

Q: 15. S 4cot 5x csc²5x dx

A: We have to evaluate the integral ∫4cot5xcosec25xdx.

Q: a3+ b where 3 2/3- 3

A: The conjugate of the irrational number: p+q is p-q. It is also known that c+dc-d=c2-d2.

Q: Xn →1 and yet xn Yn . Find sequences (xn) and (ym) so that Yn does not converge to 0. . Let (xn) be ...

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Q: The underside of a bridge is an arch that can be approximated by the relation y = −0.1x2 + 10, where...

A: y = - 0.1 x2 + 10y is the height and  x  is  the width  from   center of the bridge 

Q: (5) The average number g of goals per game scored by a hockey player seems to be related linearly tw...

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Q: 7. Consider the region R bounded by y = x², y = x, x = 0 and y = 0. Find the following. (a) area of ...

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