1. What is the volume of this prism? 3 3 6.97 3 54 cubic units 63 cubic units 36 cubic units 16 cubic units 3 6.97 14 3

Q: Consider the ring (Z, 0, 0) where and are defined as follows a b = a+b-1 aob = a + b - ab (a) Is the…

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Q: 19 f(x) dx is given as 1860.9 using 1-segment trapezoidal rule. and f(14) = 82.23, the value of the…

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Q: Let f and g be functions which are differentiable on R. For each of the following statements,…

A: (a) The given statement is: "If f'x=g'x for all x, then f0=g0" The statement is false. Take the…

Q: D 11. What is the measure of arc AC? A. 54 deg B. 137 deg C. 180 deg D. 111 deg E. 174 deg F. 23 deg…

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Q: Let 1, y € R" be given. (a) If ||z||=|y|| = 1 and z-y = 1, show that z = y. (b) If ||z|| ≤ 1 and…

A: Cauchy Schwarz inequality (over the space Rn): For any two vectors x and y in Rn, x.y≤xy equality…

Q: B. Consider the function b(n) = 4n+3 for all positive integers n. Compute b(1), b(2), b(3), b(4),…

A: Sequence: An arrangement of the set of numbers or objects following a rule is called a sequence. We…

Q: 2 cos x Let f(x) 1 and g(x)= = = - 1-sinsin x find the inverse function of f(x) * g(x) sinx+tanx…

A: Given that,fx=cos2x1-sinx-1gx=sinx+tanx1+secxThe inverse function of fx*g(x) is determined as shown…

Q: Given: y' -2=-e 2y, y(0) = 1, = 0.1. At what value of x will the % error in the approximated value…

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Q: If f(z) = u-iv is analytic in the z-plane, then the C-R equations satisfied by it's real and…

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Q: Q1. In process to prove that f(x)=sin(x -x]) is continuous, we apply the composition of two…

A: We know that the composition of function is defined as (g o h)(x) = g(h(x))

Q: Find all maximal ideals of (Zg, +8,-8).

A: Here we have to find maximal ideals of Z8 .

Q: ■ Example 8.21. Using Euler-Maclaurin formula, find the value of log 2 from d

A: Problem is solved using Euler-Maclaurin Formula.

Q: Example 8.8. From the table below, for what value of x, y is minimum? Also find this value of y. **…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Baker's Plaza has two ovens. Oven 1 can produce 3,000 asado pandesal, 2,000 chocolate rolls, and 300…

A: Note: We are entitled to solve the question only by one method. So we are solving the question by…

Q: The wave equation 2-10² may be studied by separation of variables: u(x, t) = X(x)T(t). Which of the…

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Q: Consider the surface S given by: S : r(u, v) = (uv, u² + v³, 3v²), u = [0, 2], v = [0, ³/] whose…

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Q: Suppose ACB and BCC. Show that = {A, B-A, C-B} is a partition of C.

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Q: B 15 5 U A O 11 19 18 16 10 Given the Venn diagram as shown above, answer each of the following…

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Q: Let B = {B-[3]} and = {[14]-8} B' 3 Suppose that A = is the matrix representation of a linear…

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Q: 10) Which of the following statements is false? a) fR is reflexive, then RnRep b) ROR' p R is…

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Q: If f(x)=3*-9 and g(x)= tanx, then what is the domain of (g+f)(x) on the interval [0,2m]?

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Q: 1) For ellipse, consider the following graphs 0 O Please use your own words to summarize the…

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Q: Consider the given differential equation: + = cos x - sinx, y(0) = 1, h = 0.25, at what value of x…

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Q: Just wondering where you got the 4! from in the first line of the total number of ways: i.e. 7! / 3!…

A: The 4! in the first line is obtained as shown below.

Q: Problem no7 Findy as fired 2x²y" - 5ay - 7y=0; y(i)= 3 . у= і ўсі)=

A: To solve the below differential equation. x2y''−5xy'−7y=0, y1=3, y'1=9

Q: A subset (a,b) ≤R is T2-space in (R,Tu) * 1 true 2 False

A: Given: A subset (a, b)⊆ℝ is T2-space in ℝ, Tu. To determine: Whether given statement is true or…

Q: Find and explain an example of a Riemann Integrable function that does no have an antiderivative.

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Q: 16. Suppose the base of the shed is enlarged so that the length of each side is 10 feet. What is the…

A: According to our guidelines we have to answer the first question if multiple questions are posted at…

Q: (1.) Sketch the solid S of integration of the given integral Q. Label its boundaries. (2.) Refer to…

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Q: (B) Find the zero-divisors of Z6.

A: Here we have to find zero divisors of Z6 .

Q: , and Zone 3 covers those over

A: Given: People of zone 1 covered within 3 miles People of zone 2 covered between 3 and 7 milesPeople…

Q: Let D be the portion of z = 2z + 5y inside z² + y² = 1, oriented up, and let F = (y, z, -z). Compute…

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Q: Find the laplace transform of the function:  f(t)=e^(-4t) cos 5t the answer should be F(s)=…

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Q: Let S be the solid of integration of the given integral Q. (1.) Sketch S and label its boundaries.…

A: Q=∫02∫-4-y20∫x2+y28-x2-y2ydzdxdyRegion of integration,0≤y≤2-4-y2≤x≤0and x2+y2≤z≤8-x2-y2

Q: Exercise 8.1.15. Suppose N G. If N is abelian, and G/N is abelian, does G have to be abelian? Give a…

A: Suppose N⊲ G. If N is abelian, and G/N is abelian, Now we  prove that G is abelian with the help of…

Q: Using spherical coordinates, the volume of the solid inside the sphere 3√3 x² + y² + z² = 9 and…

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Q: Find the vector z, given that u = , v = , and w = . z = 8u − 2v − 1/2w

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Q: Find the Laurent series of f(z) = (2-1)(z-2) if 1</z] <2

A: Here we have to find laurent series of f(z) in given interval

Q: Problem no10 Find gen. sol. I you +12y" +HOy² = 0 (0)²² (0)8 PPSH+vH¬"v

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Q: (B) Give an example for a commutative ring with identity.

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Q: What is the slope-intercept equation for the linear function represented by the table? X 03 6 9 12 y…

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Q: Find Oun equation of the tangent Lime to the curve given by - equation x³_ 3y - xy² = - 3x at point…

A: The tangent is the line that just touches the function at a single point. In this problem, the…

Q: Problem non Find y as fi ofa y" _7y"_y² + 7y=0; y(0) = 7; 9²601 = 1; 9²4(0)=7 уск TV = entory Xey…

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Q: 3. Find the maximum and minimum values of z-a 1-āz on 2 ≤ 1 (where a with la| < 1 is fixed)

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Q: Consider the surface S given by: S: r(u, v) = (uv, u² + v³, 3v²), u € [0, 2], v € [0, 1] whose…

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Q: Let T: R³ → R³ be a linear operator and B = [v₁, V2, V3] a basis for R³. Suppose 0 T(v₁) =_=A T(v₂):…

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Q: The longer base of an isosceles trapezoid is one more than 1/3 of the shorter base. If the altitude…

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Q: 5: Let R=(Z,+, .). Find Chan Idempotent element of R e) Is R a field? Why? c) Nilpotent elements of…

A: We have to find the nilpotent and idempotentent element of R.

Q: 9) If f(z) = u- iv is analytic in the z-plane, then the C-R equations satisfied by it's real and…

A: The complex functions are usually represented by the equation: f(z)=u(x,y)+iv(x,y).

Q: 1: (A) Write True (T) in front of the true statement and false (F) in front the false atement: 1.…

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