It's vacation time of the year and your family agreed to go to a famous beach resort in your province. Upon entering the resort, you were asked to pay tickets which cost Php200.00 for children (5 to 12 years old) and Php450.00 for adults. If the resort were able to sell 250 pieces of beach ticket amounting to Php16, 000.00, how many children and adults were in the beach?

Q: What Mclaurin Series this function represents: ELo(-1)? = x2k+1 + 7! | (2k+1)! O a. e^x O b. cosx O ...

A: We need to find  function for the Mclaurin's Series. ∑k=0∞(-1)2x2k+1(2k+1)!  

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Q: 18.14. Suppose f(2) is an entire function with f(z) = f(z+1) = f (z+i) for all z E C. Show that f(z)...

A: Here The function f(z) is entire  And f(z)=f(z+1)=f(z+i)    for all z in C. We have this Theorem Sta...

Q: 1. Prove algebraically that for any sets X and Y, we have Y – (Y – X) = X nY.

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

Q: 2. f(t) = (t + 2)² et

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Q: Find the symmetric equations for the normal line LN to the surface S:f (x, y) = 5Vx2 + y? at the poi...

A: if  f is  function of (x,y,z) then gradient of f is defined asfx i + fy j + fz k ∇f is the normal to...

Q: 2. Assuming chop arithmetic with b = 10 and m = 4. Sum the numbers 999.9 + 99.99 + 9.999, from left ...

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Q: 1. Evaluate the integral ab- a + b à) + a(b a)-2(à ab - bla dt in which a, b are the derivatives of ...

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Q: The value of the integral sin() dy dz is

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Q: Consider the initial value problem, (6z – ly)y' = (x – 8) o + 2, y(z0) = y0 If ro - 7, then for what...

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Q: 1+x

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Q: Proposition 11. Let ao = -1, a1 = 1 and a, = 7an-1– 10an-2 for integers n > 2. Then the closed form ...

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Q: y = c1z + c2e - 22 - z - 1 isa general solution of the differential equation Select one: O a (z – 1)...

A: Let us consider a differential equation f(x,y,y',y'',......)=Q(x) The equation y=f(x) is the general...

Q: 18.8. (a). Let y be the contour z = e", - TOST traversed in the %3D positive direction. Show that, f...

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Q: list down 10 examples each for inductive and deductive reasoning

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Q: Definition 3.46 Let S be a surface in R° represented by F(r, y, 2) = 0. The normal line to S at a po...

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Q: Using vector Calculus, Parametrize the circle of radius 5 having centre (8; -3) and hence and a tang...

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Q: Proposition 5. Consider the function f : Z² → Z² defined by f(m, n) = (mn, m+n). The function f is n...

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Q: I. Consider an = V4n² + 3n – 2n for n >1. 1. Determine if {an}-1 is convergent or divergent. 2. Is >...

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Q: Proposition 13. For integers n > 1, 2 3 + + 4! 1 = 1– (n+1)!" 1 - 2! 3! (n+ 1)! Hint: Try induction ...

A: We can solve the problem by the method of mathematical induction. By mathematical induction we first...

Q: IV. Determine whether the given series is convergent or divergent. Justify your answers. 1 (2n)! (a)...

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A: As per our guidelines we are supposed to answer only one question (3 subparts)

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Q: Determine if the graph shown below is Hamiltonian or Not *     Hamiltonian       Not Hamiltonian

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Q: azu azu Consider the hyperbolic equation of at? 0sx<2,t 2 1 with boundary conditions of ди, u(0, t) ...

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Q: I. TRUE OR FALSE. Write 1 if the statement is always true. Otherwise write 0. 1. The converse of sta...

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Q: Evaluate by changing to spherical coordinates: /2–x²-y² xydzdydx x²+y2

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Q: II. Substitution suggested by the equation 3. cosysin2xdx + (cos²y – cos²x)dy = 0 %3D

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Q: What is the missing length? 4 km 14 km area = 91 km? kilometers Submit

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Q: Proposition 6. Consider the function g : Z? → Z² defined by g(m, n) = (m – n, n – 2m). The function ...

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Q: 2. f (t) = 2 cosh² 3t

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Q: Find f, (x.y) and f, (x,y). Then, find f, (1,-3) and f,(-1,- 2). f(x,y) = - 5xy + 2y +6

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Q: 3. f(t) = 2e3t sin 2t 3est cos 2t %3D -

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Q: Evaluate the line integral (y dr+yrdy) taken in clockwise sense along the hexagon whose vertices are...

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Q: Determine whether each of the following statements is true. If true, prove it. If false, give a coun...

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Q: I. Write True if the statement is true. If the statement is false, explain briefly why it is so. (a)...

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Q: VI. Give the Maclaurin series expansion of f(1) = In(3 – 21). Determine its interval of convergence....

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Q: 9. Let I = {A1, A2, A3} where A_i={1, i-1, i+1} for all i = 1,2, 3. Then |UT| = 6.

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Q: (a) Let an → 00 and bn + -00. Then an – bn → 00. (b) Let an 0 and b, → 0o. Then a,b, + 00. (c) Let a...

A: This is a problem of sequence and series.

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Q: 3. Solve the riddle below. R¬RP= Q¬R^ (P= Q) PQ T F U TT T В U TF FT T T T F Y Y FF FT T T TF F D K ...

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Q: Draw a line to show how white can escape from check. Don't forget: move, block or capture! 1. 2. a b...

A: We have to Draw a line to show how white can escape from the check.

Q: For Exercises 7 through 12, determine whether the distribution represents a probability distribution...

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