A dish contains 2 yellow, 4 red, 5 purple, 2 green, and 3 orange candies.  How many sets of 7 candies include at least 3 purple ones?

Q: Let (a) H = {(), (1,2), (3 4 5 6), (35) 46), (36 54), (12) ( 3 4 5 6) (12) 35)(46), (12) (3654) 3 K…

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Q: My - Nx If = =Q, where is a function of x only, then the differentia N equation M + Ny = 0 has an…

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Q: Example 5: Find the equation of the plane passing through the points (1, 2, -3), (2, 3, 1), and (0,…

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Q: Prove: AEFG is isosceles

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Q: (3 f(t) = 30 est 0 12

A: as per our company guideline we are supposed to answer only one qs kindly post remaining qs in next…

Q: (1) Prove that the product xy of two real numbers x and y is nonnegative if and only if the absolute…

A: This is the problem of counting.

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Q: Consider the differential equation d'y dy -6y = 0. dx² dx Enter either of the solutions of the…

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Q: order system of n x m equations and nxm unknowns. True False 1, Call De

A: We have to solve given problems:

Q: Q#4. Is Green's theorem applicable for all types of line integrals? Explain clearly. Use Green's…

A: Given line integral is ∮Cex+y2dx+ey+x2dy, where C is the boundary of the region between the parabola…

Q: A board of directors is made up of 5 to 15 people, with fewer men than a third of the number of…

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Q: i. Which of the following relations f: Q → Q define a mapping? In each case, supply a reason why f…

A: Mapping: A relation is said to be a mapping if the relation is not multivalued i.e., for every value…

Q: Show that (cos 0 + i sin 0)" = cos n0+ i sinne for n=3 and n = 4.

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Q: 2. Evaluate: 0020 2020 10 002 0022 Do columns of this matrix form a basis of R4? .

A: Columns of this matrix will form a basis of R4 only if columns forms a linearly independent set…

Q: Suppose that G is a k-regular graph of n vertices, and m edges. The vertex connectivity of G is…

A: Sol

Q: Q4// In how many different ways can eleven cakes be distributed among three kids such that each kid…

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Q: The differential equation ry" + 3y - 7y=seca is normal on any open interval not containing a = 0.…

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Q: Determine whether the equation is exact. If it is exact, find the solution. If the differential…

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Q: 2. ALNP is an isosceles triangle. 3. ZLNPZLPN 4. ZLPN ZMPN 5. ZLNP ZMPN 6. ZMNP 2LNM + 2LNP 7. 8.…

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Q: My - NT If = Q, where is a function of x only, then the differenti N equation M + Ny' = 0 has an…

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Q: e area of the surface of

A: Given,                     y=x3, 0≤x≤1 ; y-axis

Q: 2. Let A = [1000] 1 1 00 01 1 0 001 1 Answer the following questions. a) Do the columns of A span…

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Q: ● √3x dy dx √x² + y² So So

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Q: Find the McLaurin Series of the function 1 1+X

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Q: Question3: A. Find the general solution of the following first-order ODE xy' = y + 2x³ sin² (²)

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Q: cos (arctan (B) - arcsin (3)) 5

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Q: Consider the recurrence relation an = = 5n + an-1 where a₁ = 4. Then α64 is Select one: O a. 53700 O…

A: Use the recurrence relation to derive a general formula. Use the general formula to determine the…

Q: Consider the function 20 f(x) = x5 +21x - 125 3 (a) Find an interval of width 1 within which a root…

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Q: Show that the differential equation x³y² + x(1+yº)y′ = 0_ is not exact, but becomes exact when…

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Q: find x X-4X-5x + 6 11 3 7x²+9x-4

A: Note:- This problem can not be solved in 5 minute analytically but it can be solved graphically. So,…

Q: (a) If A₁ = {-i, -(i − 1), . . .−3,−2,−1, 0, 1, 2 }, for i = 1, 2, 3,. . . find (i) Un A6 and (ii)…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The indicial equation for the differential equation 2xy" + y + xy = 0 is 2c² - 1 = 0. True False

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Q: Determine the order of the given differential equation and state whether the equation is linear or…

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Q: sin (2x) dx (x²+L)(x-3) 3) (sin (2x) 88

A: We solve by Contour integration.

Q: a) Prove that the two forms (2) and (2) of the Principle of Strong Induction in Appendix A are…

A: The given form of mathematical inductions are: (1). If P1 is true, and Pn implies Pn+1 for all n∈ℕ,…

Q: 2π The graph below shows the angle A = 3 A = 2π/3 Find the exact value (no rounding) of sine. 2T sin…

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Q: To find the general solution of a second order homogeneous linear equation, we only need to find two…

A: To find the general solution of second order homogeneous linear equation we only need to find two…

Q: What are the differences between the false position method and modified secant method? Why is root…

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Q: (d) Find the solution y = o(t) of the given problem and evaluate o(t) at t = 0.1, 0.2, 0.3 and 0.4.…

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Q: 5- Let the dynamical system is given by x=ay-bxy, y = -dx + cxy. The fixed point computed as: (a)…

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Q: let F be the function from R to R defined by: f(x) =x². Find f–¹({1})

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Q: Use implicit differentiation to find 20 27 Ans./ of the following curve at the point (2, 3). dx2 2x³…

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Q: Q: Solve the following set of simultaneous equations using Laplace Transfor d²y 4² - x = y; + dt²…

A: This is the question of Laplace Transform.

Q: 1980 the population of alligators in a particular region was estimated to be 1100. In 2008 the…

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