1.) Set up the integral ||[ f (x,y,z)dV using a single triple integral where E is E the solid in the first octant bounded by the planes z= y, z=x, z=0, x+z=8, and y=8.

Q: Consider the following problem: A box with an open top is to be constructed from a square piece of…

A: Pictures will be something like this with red portion being cut Height of the cube or cuboid will be…

Q: Use the remainder term to estimate the maximum error in the following approximation on the given…

A: Given  ex≈1+x+x22  over interval  -57,57

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Q: 43. 4+16+18+. . +n (nt3) [n (n +)(n+5)3 • Cuse mathematiral Inducrion) ... for n € 2 t

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Q: f(t) = eat sin Bt.

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Q: Question 29 Using laws of logarithms, express 1 x2 In x + 1 in the form A In x + Bln(x + 1) + C…

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Q: Prove that a circle in H projects to a Euclidean circle in D. Conclude that not all triangles in…

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Q: Question 4 Solve the initial value problem: y' = - 0.03y+ 6 y(0) = 50 %3D y(t) = %3D Question 5 3t…

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Q: 2. Determine the real ro accurate to 4 decimal

A: 2. Given,            f(x)=tanh(x2-8)

Q: Suppose that the amount of time one spends to complete a survey is exponentially distributed with…

A: Given- Suppose that the amount of time one spends to complete a survey is exponentially distributed…

Q: 4x1-2x2 +9x3 = 1 3x3 = 2 6x3 = 4 %3D %3D

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Q: Find the volume of the solid that results when the region enclosed by y = e", y = 0, x = 0, r = In…

A: Given:   y=ex, y=0,x=0,x=ln 5 We have to find the volume of the solid when revolved around the…

Q: H.W: Estimate the root of the equation for the following equation usind Newton- Raphson method: 1…

A: As per the policy of bartleby the provisions is to solve only one question at a time

Q: 1. Find the general solution of the system: -6 2 X = -3

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Q: Using the Euler's Theorem how can I solve 6.3 Question 1 parts a,b,c,d,e and f

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Q: 6. tanh (0.573 - j0.783)

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Q: :Q2 Find F(t) for the differential equation below x²y' + 2xy – 2y = 0

A: Introduction:   A differential equation is an equation that contains the derivative of an unknown…

Q: A 84 N signboard is suspended by two ropes that make angles of 65° and 45° with the Detern In elude…

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Q: Question 24 If the line passing though the points A(-1, 2) and B(1, 3) is perpendicular to the line…

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Q: Let f(x,y) = x° + y?. Find the slope of the line tangent to this surface at the point (-1, – 1) and…

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Q: The solid S is bounded above by z = 4 and bounded below by the paraboloid z = x² + y?. Write and…

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Q: Investor Dan has $822,000 to invest in bonds. Bond A yields an average of 9.5% and the bond B…

A: Given:Principle = $822,000Rate (A) = 9.5%and rate (B) = 8%

Q: Question 4 If + 3x + 6a2 + 12x°+... %3D then C equals 11 8. 19 8 -2 19 11 215 2/5

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Q: Consider the system i1 = x – 2x1x2 and i2 = -x2+xj a. Find the first few terms in the power series…

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Q: 16. Use the Divergence Theorem to find the outward flux across the boundary of the region D where F…

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Q: Here are three functions that are related to each other. Correct! Tries: 2 One is f(x). Another is…

A: Given is a graph showing three function f(x), f'(x) and f''(x)   To Find: Which color function is…

Q: Directions: Let p represent the proposition “ He has red car" and q represent the proposition " He…

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Q: If Pa is the Vector Space of poly romiels Of degee ss and Be is tho kctor of Spaco Of purynomals of…

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Q: [(2y² + 3y') + (2y)] y', = 4x° + 12x

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Q: In 7 years Harry and Sally would like to have $20,000 for a down payment on a house. How much should…

A: Introduction: Compound interest (also known as compounding interest) is the interest on a loan or…

Q: 2. Consider the system i1 = x – 2x1x2 and i2 = -x2 + xỉ %3D a. Find the first few terms in the power…

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Q: Given f(x)=3, determine the value of a for which * + 1) - f(x-1) = a x f(x)

A: Given function isfx=3xfx+1-fx-1=a×fxThe value of a for which the above relation holdsis determined…

Q: Write the equation in the form (x-h)²+(y-k)´=c. Then, if the equation represents a circle, identify…

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Q: e expected value of this random variable is 7.9, mplete the table. Show your work. P(x) 10 0.5

A: In this question, the expected value is given. Unknown entries are to be determined.

Q: Jeremiah lives in New York City and takes a taxi almost everywhere he goes. In order to calculate…

A: The equation the person uses to calculate her fare is 1.80x+2.50 where x represents the number of…

Q: 3. Find the general solution of the system: dx = x + y dt dy -2x – y dt

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Q: Given the following function f(x,y,z) and a positive number e, find the largest possible value of 6…

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Q: QUESTION 5 If x and y are two incongruent primtive roots of a prime p. is x+y a primitive root of p?…

A: In this problem we shall use the definition of primitive roots to show if the number given in the…

Q: 5. Use Gauss-Seidel method to solve for the value of x,y and z. 5x + In 2y-4/3z 51.2118 2x- 5 In y +…

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Q: Evaluate the spherical coordinate integral. 7/2 7/3 8 sec 8 sec o Q sin o cos o do do de 5 sec o

A: We have to find the value of given integral.

Q: 32. Determine whether the given relation is reflexive, symmetric, transitive, or none of these. D is…

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Q: Find the area of the surface generated by revolving the given curve about the y-axis. x = 8y + 3, 0…

A: Note: If x=fy≥0 and continuously differentiable on a,bThe area of the surface generated by revolving…

Q: *(u pou) q. Therefore, the solutions are those integers x such that x = a (m)-1b (mod m). Example…

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Q: Question 6. Use Induction to prove that 22n+1 + 32n+1 is divisible by 5 for all n > 0.

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Q: The integral S Si Si rdz dr de represents the volume of a solid. What does that solid look like? O a…

A: Cylindrical coordinates volume bounded by the two cylinders

Q: 6. Solve the given initial value problem using the method of Laplace transforms. (a) y" + 4y = 4t -…

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

Q: Question 4 of 25 Given a circle where the center is (-8, -4) and another point on the circle is (-4,…

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Q: Question 8 of 25 An equation of an ellipse is given. (a) Identify the center of the ellipse. (b)…

A: Introduction: The standard form of the vertical ellipse is given by, (x-h)2a2+(y-k)2b2=1 Where (h,k)…

Q: Question 13 of 25 For 4 =1, 64 (a) Identify the center. (b) Identify the vertices. (c) Identify the…

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Q: II. Calculate the determinants of the matrices using the cofactor method. 1 1 01 3 1 1 b. -1 0 3 1 3…

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