165 watched TV 173 hung out with friends 35 watched TV and ate pizza, but did not hang out with friends 44 watched TV and hung out with friends, but did not eat pizza 42 hung out with friends and ate pizza, but did not watch TV 36 watched TV, hung out with friends, and ate pizza 94 did not do any of these three activities ow may 18-24 year olds (of these three activities) only ate pizza last Friday night? our Answer: ● ● ● ● ● ● ●

Q: Consider the following. u= (-8, 6,-5), v= (1, 2, 9) V (a) Find the projection of u onto v. li li (b)…

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Q: Consider the function 1:{1,2,3 4,5; given by 1 2 3 4 5 7- (1²:19) f = 1 2 1 5 3 Find f(5)= = Find…

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Q: Transform the following equation of ellipse in standard form. 9x²-4y²+36x-24y - 36 = 0 3x² - y2 +…

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Q: Question 5. Show that the o-algebra generated by sets in the form [a, ∞), for a running through all…

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Q: Transform the following equation of ellipse in standard form. 3x² - y² + 18x-2y-10=0…

A: To transform the given following equation in standard form

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Q: 3. Use Euler's method to find an approximate value of the solution of the initial value problem x' =…

A: Rising Euler formula we can find the  x(0.3) =4.6753 if h=0.1 x(0.3) =4.6948 if h=0.05

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A: First we check given differential equation is exact or not.  If given differential equation is exact…

Q: 10. Evaluate indefinite integral xẻ dx S2-8x²² x

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Q: 14. Determine elementary matrices E₁, E2, ..., Ek that reduce 2 A ^= [² -1 ] 1 3 to reduced…

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Q: a) By trying solutions of the form x(t) = e^t find the general solution of the third order equation…

A: As per Bartleby rules we have to answer only 1 question when there are different questions.

Q: Use power series to find the general solution of the differential equation, state the recurrence…

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Q: 5. The purpose of this question is to prove the following statement, which is one half of Theorem…

A: Let G be a connected graph and G has at most two vertices with odd degree

Q: How many function

A: We use basic properties of functions to solve this problem. The details are given in step 2.

Q: 3. The average noontime temperature in a certain location is normally distributed with a mean of 32…

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

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Q: Determine whether the following statement makes sense or does not make sense. Being cloudy is…

A: "If there are clouds in the sky, then it is raining.” This is not always true.Being cloudy is…

Q: 3. Past records from a factory producing electronic components show that on average, new employees…

A: 3 Given that Nt=75tt+5 and t≥0. We have to find the domain, range, vertical and horizontal…

Q: Use the Labis transform to solve the following initial value problem +13-0 a Using for the Laplace…

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Q: 2. Solve for x if the following terms form an arithmetic sequence, (3x),(7x-14) and 5x - 4.…

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Q: How many leaves does a full 3-ary tree with 97 vertices have?

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Q: Use the definition of Ax to write the matrix equation as a vector equation. 2-1 -3 -4 1 8 1 4 -5 4.0…

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Q: you have been given the following following autonomous first order differential equation. 2 dy =…

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Q: F.26. Optimization. Consider the function z=x 2 +0.5 xy+ y 2 . Find the optimum value of z (that is…

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A: As per our company guidelines, we are supposed to answer only the first three sub-parts of the…

Q: - Which of the followings are subspaces of given vector spaces. W₁ = {(a, b, 0)| a, b ER} CR³. a W₂…

A: A subset of a vector space is a subspace if it is closed under adition and closed under scalar…

Q: that any hyperbola and its conjugate hype common normal.

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Q: On which curve does the perpendicular tangents drawn to the 1² hyperbola - 25 16 - 1 intersect?

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Q: A process is perturbed by a sinusoidal varying input, u(t), whose amplitude is A and whose frequency…

A: Given the output relation Ys=KAωss2+ω2. We will first find the solution yt and then the differential…

Q: Consider the function f: N→ N given recursively by f(0) = 2 and f(n + 1) = 3. f(n). Find f(11)…

A: Given that f(0)=2f(n+1)=3f(n)f(1)=3f(0)=3*2=6f(2)=3f(1)=3*6=18f(3)=3f(2)=3*18=54and so on…

Q: #7. Let f(t) = 1² for t € [-, ], and extend it to be 2T-periodic on R. (a) Find the Fourier series…

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Q: 3. Obtain the general solution of the following DE. y' 3y + xy² cos x + xy cosy x + xysinx - x²y…

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Q: Let Zo(0,1,2,...). Order 7 of the following sentences so that they form a proof for the following…

A: We have the set Z≥0 = {0,1,2,.....}, we will order the given steps correctly so that it makes proof…

Q: Find the absolute extreme values and where they occur.

A: We need to find the extremas from the given graph,  We can see that  x lies in the interval (0,4]  y…

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Q: 2. Consider the initial value problem tx' + x = 3t², syrols to x(1) = -2. pl (a) Find the exact…

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Q: 50 w = [2 + 2√31]5⁰

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Q: 21° 57⁰ E +y 38° C C = 82 m/s D = 62 m/s E = 41 m/s Figure 3-31 Question 3-34. +x

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Q: Solve (D³ a. y = 1 2e* cos(x) O b. y = 12e sin (x) c. y = 2 e sin (x) ex cos(x) O 2D² + 2D) y = 0;…

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Q: what about the constraints equations ?

A: Solution: The objective function to minimize will be here the total cost = setup cost + production…

Q: Use power series to find the general solution of the differential equation, state the recurrence…

A: The given differential equation is,                               (1+x)y''-y=0 (.)  Let us consider…

Q: Solve the three-part inequality. Give the solution in set and interval notation, then graph it.

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Q: ONLY DO THE GRAPHS AND EMPHASIZE THE LIMITS 4. 5. 6. x² + 5x³+6x² lim, 7² 1-2 x²(x + 1) - 4(x + 1) 3…

A: Given Data:  To graph the function and evaluate the limit.