Colorado consists of 64 counties. What is the minimum number of students, each of whom comes from one of the 64 counties, who must be enrolled at CU to guarantee that there are at least 50 students who come from the same county?

Q: Solve the system by using Cramer's Rule. S 2x -3y 5x +8y 18 %3D -110 %3D X = y =

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Q: Find the area bounded by the curve r2 = 4 sin 0 (1+ sin0)

A: The given problem is to find the area bounded by the given curve. Given curve r2=4sin(θ)(1+sin(θ).…

Q: Use Newton's method to approximate the smallest positive solution of seca 3 correct to five decimal…

A: We have the formula

Q: Braydon can afford to pay approximately 1400 per month on his mortgage. Determine his payment amount…

A: Monthly payment = $ 1400

Q: Use the compound interest formula to compute the total amount accumulated and the interest earned.…

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Q: 1 Use the geometric series 1 Σ x* for |x| < 1, to find a power series representation k=0 for the…

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Q: Given Ln 4 + ( sin 4 + (i -1)- express the limit as → ∞ as a i 1 f(z)dr. definite integral, that is…

A: Given:Ln  = 1 n ∑i=1n(4+(i-1)1n5 sin(4+(i-1)1n

Q: Let X be a disconnected space, that is X = UUV, where U and V are nonempty open subsets of X and…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

A: Here we use basic form of Lagrange Multiplier.

Q: a) By using integration by parts, find the integral Inx dx. b) Hence, find In Vx dx.

A: We have to apply the integration by parts.

Q: H.W 1-Find a point that belongs to the curve y 2x + 12x + 2 where the tangent at this point is…

A: Given curve is y=2x2+12x+2 and a line x+3y+1=0. We have to find the a point that belongs to the…

Q: dv 18, 000 – 0. 150? dt 3000 – 6t and solve this numerically using Euler's method in MATLAB with the…

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Q: QUESTION 11 Find the measure of the missing sides of the isosceles triangle below using the…

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Q: Q3. Given that y, - -3r²e¬#, y2 = 7x" are solutions of a linear homogeneous equation with constant…

A: We have to find the minimal order of equations.

Q: The maximum and minimum value of f(x,y) = 3x – 4y subject to the constraint x* + y° = 16 are %3D O…

A: To maximize the function f(x, y)  subject to the constraints  g(x,y)=C Determine the Lagrangian…

Q: Brent Pickett borrowed $7000 from his brother Dave. He agreed to repay the money at the end of 5…

A: It is given that Brent borrowed $7000 from his brother Dave. He will repay the borrowed money at the…

Q: Question 1 Let A = {1,2, 3, 4}. Let F be the set of all functions from A to A. Define a relation R…

A: It is given that A=1, 2, 3, 4 and ℱ is the collection of functions from A to A. The relation R on…

Q: Solve Y"' – 6Y" + 11Y – 6 = 0 -

A: Given differential equation is Y''' - 6Y' + 11Y - 6 = 0

Q: Suppose you are expanding (5x - 2y) a)i) How many terms are there in the expansion? )State the…

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Q: dx 8y – x² – 12 dt - | dy - 2(x – 2)(y – 6) dt (a) Does there exist a yo > 0 such that if x(0) > 0…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: 5s s + 4 s2 + 16 A. f(t) = 3e-4t - 5 cos 4t C. f(t) = 3e-4t – 5 sin 4a B. f(t) = 3e4t - 5 cos 4t D.…

A: Given F(s) = 3s + 4 - 5ss2 + 16

Q: This student never eats the same kind of food for 2 consecutive weeks. If she eats a Chinese…

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Q: O A. 2.01% B. - 5.94% O C. 4.06% O D. 14.06%

A: Given: Rate of interest=4% compounded quaterly.

Q: Given that f(x) = 2x + 5 g(x) = 2x – 6 / x and h(x) = x2 – 5 find; hᴏf(x)=

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Q: A chair manufacturer hires its assembly-line labour for $18 an hour and calculates that the rental…

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Q: Verify Initial and Final value theorem for the function. f(t) = 2 + 3 cos t.

A: Given function is ft=2+3cost. We have to verify the initial and final value theorem. Initial value…

Q: 6. Find the volume generated by rotating the curve y = e-® about the x-axis on the interval [0, ∞)

A: The given problem is to find the volume of the solid generated by rotating the curve y=e-x about the…

Q: Brent Pickett borrowed $5000 from his brother Dave. He agreed to repay the money at the end of 2…

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Q: 1 Find x in the figure. 2х-10 x-35 B. 2. What are the measures of the following angles? a. ZA b. ZB…

A: 1)  The sum of all interior angles in a quadrilateral is 360° The given figure ABCD is a…

Q: roe-t sin(v3t) (i) * sin(V3t) dt]

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Q: B 46. Find mLA 9.6 7.2

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Q: A/ find solution for the differential equation below: Y"" 6Y" + 11Y – 6 = 0

A: Given differential equation is y''' - 6y'' + 11y - 6 = 0

Q: measurable

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Q: The principalP is borrowed at a simple interest rate r for a period of time t. Find the loan's…

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Q: Write the expression below in the form (a+ b)" 1296x" – 4320x°y + 5400xy- 3000x y + 625y

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Q: G5: What is the degree of vertex 2? Degree =

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Q: A quadratic function is defined by f(x) defined by g(x) the two functions intersect at exactly one…

A: Given quadratic function is  fx=9x2+3x-4 and linear function  gx=mx-5 where m is the slope of the…

Q: Q1/ Solve the initial value problem (IVP) of the differential equation by using the appropriate…

A: We have given differential equation ,  y - 2xy' = 3y - 6x + 1   with y(0) = 2. Here , substitute , u…

Q: Let (F(n))n>0 be a sequence of real numbers and let k e N. (a) Explain what it means for (F(n))n>o…

A: Given that, (Fn)n≥0 is the real numbers sequence  and let k∈N (a) A sequence (Fn)n≥0 of real numbers…

Q: What effective rate is equivalent to a nominal rate of 5-% compounded quarterly? Select one: O 5.35…

A: Given: Nominal rate=514==214=5.25%

Q: *** V· Vo = + ax2 dy2 az2

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Q: 5s + 7 (s + 2)2 A. f(t) = e-2" (5 + 7t) C. f(t) = e-2" (5 – 7t) B. f(t) = e-2"(5 + 3t) D. f(t) =…

A: Use partial fractions and Laplace table.

Q: Find the Laplace Transform of the following functions 4) f(t) =t sinh(at) 5) f(t)=2te' 6) f(t) = e"…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: Make a table of the nonzero remainders b mod 5 vs. their squares b^2 reduced (also to a remainder…

A: To Make: Tables of the non-zero remainders b mod 5 vs. their squares b2 mod 5, b mod 7 vs. b2 mod 7,…

Q: yi = y1 - 2 + y3 2 = 5y2 ys = -2yı + 92 – y3

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Q: Use Cramer's rule to solve the system 2x- y = 0 x + 2y = 10 y =

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Q: 5. Explain why the Lp[0, 1] spaces are complete normed linear spaces. What is the norm of function…

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Q: t° cos(5t) + cos(2at) cos (3at) COS

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Q: Given that ニえらin(inz) Solve 211 xg"-zy'+ay =o de termine the gpeneral golution? yend

A: Given that, the differential equation is x2y''-xy'+2y=0 and one solution is y1x=xsinlnx. Rewrite the…

Q: The Queston Ronan is building an extension to his house to facilitate a social space and games room.…

A: Trigonometry is the study of the relationship between the sides and angles of a right-angled…