A. Using polar coordinates, evaluate the improper integral HII B. Use part A to evaluate the improper integral e-le² da. H e-1(¹+²) dz dy.

Q: 2. Solve the following system of linear equation 2x +y – 2z = 1 3x + 2y – 6z = 2 x + 5y + 5z = 3 6x…

A: Let us solve the given system using Gauss elimination and LU decomposition method in the next step.

Q: Consider the table below: Classes Frequency, Cumulative Midpoint, fm (Mass) Frequency f (kg) 30.00<…

A: Given that: Classes (Mass) (kg) Frequency, f Cumulative frequency Midpoint, m fm fm2…

Q: Which of the following is true about the membership functions below? O Function A is union of A and…

A: Let A and B be fuzzy sets with µA and µB are their respective membership function, the fuzzy set…

Q: 5-Find best predicted repair cost for full-rear crash for Nissan Altima, given that its repair cost…

A: The general form of the linear regression model is, y=a+bx Where, 'y' is the dependent variable, 'a'…

Q: Prove the Bolzano's Theorem for the case f(a) > 0 and f (b) < 0. .

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Q: Use the simplex method to maximize the given function. Assume all variables are nonnegative.…

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Q: Let F be the vector field (ze"+yz², xz², xe"²+2xyz) Let C be the path r(t) = (sin(t), teʻ, cos(t)),…

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Q: transformation T is given by T(x) = Ax, where A = 5 = [₁,₁ The linear nullity, range, and rank of…

A: KerT=x,y,z∈ℝ3: Tx,y,z=0,0,0 Tx=Ax       =1-1356-4742xyz…

Q: 10. Find the area that's inside the curve: r = 3cos(0) but outside of r = 1 + cos(0). Draw

A: Solution :-

Q: In a Doubles match between A & B against C & D, A& B won the toss and given the opportunity to…

A: Badminton Court Left Score: Team A and B Right Score: Team C and D Course of action /…

Q: A merchant has three items on sale namely: a radio for P50.00, a clock for P30.00 and a flashlight…

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Q: Write the binomial probability and the normal probability for the shaded region of the graph. Find…

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Q: Solve the linear programming problem by the simplex method. Maximize P = x + 4y 2z subject to - 3x +…

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Q: How many permutations can be made out of the letters of the word ENGINEERING? Select the correct…

A: I have solved and find that third option is correct.

Q: 10. A liberal arts college has one thousand students. The numbers studying various languages are:…

A: Given a liberal college has one thousand students.  Number of students who study French(F)=220…

Q: 3-Table below list the # of registered pleasure boats(thousands) in Florida and the # of watercraft-…

A: Given data, X Y X*Y X*X Y*Y 90 81 7290 8100 6561 81 76 6156 6561 5776 94 73 6862 8836 5329…

Q: dish whose shape will be formed by A group of engineers is building a parabolic sa rotating the…

A: Formula: The surface area obtained by rotating the curve y=f(x), a≤x≤b,  about the y−axis is given…

Q: (a) Find the orthogonal trajectories of the family of curves x* + y - 6x y = constant. (6) Show that…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: There are 13 teams in a tournament. Each team is to play with each other only once. What is the…

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Q: A farmer estimates that if he digs his potatoes now he will have 120 bushels, which he can sell at…

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Q: A man bought 20 pcs of assorted calculators for P20, 000.00. these calculators are of three types,…

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Q: I. Evaluate S x² +6 x³ + 3x dx.

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Q: 1. Let F = [y, az³,-zy³] and C: the circle a² + y² = 4, z =-3. Evaluate So Fr'ds through direct…

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Q: 5. (a) Prove that if f is uniformly continuous on a bounded subset S of R, then f is bounded on S.…

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Q: Integrate x cos(2x^2+7) dx. Select the correct response: O sin (2x^2+ 7) + C

A: Integrate using substitution method.

Q: Find the equation of the curve at every point of which the tangent lie has a slope of 2x. Select the…

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Q: . Construct a 95% confidence interval base on the same data.

A: Need to construct 95% Confidence Interval

Q: A tank initially contains a solution of 11 pounds of salt in 70 gallons of water. Water with 7/10…

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