Example 7.7. Find f (22) from the Gauss forward formula 20 25 30 35 40 45 f(x): 354 332 291 260 231 204 ..

Q: 13. Find the mass of a thin funnel in the shape of a cone z = √√x² + y²,1 ≤ z ≤ 4, if its density…

A: Here given the shape of a cone  z=x2+y2, 1≤z≤4 , Write it in polar coordinate D=r, θ: 1≤r≤4, 0≤θ≤2π…

Q: Find the area of the region between the curve y = 3 - x² and the line y = 1 -x from x = 0 and x = 2.…

A: We want to find area between the curves.

Q: (a) The dimensions of the rectangular block are 10cm by 20cm by 15cm. with a possible error of 0.05…

A: We have to find (approximately) the greatest error in the surface area of the block and the…

Q: Find the center of mass of the lamina corresponding to the parabolic region 0 ≤ y ≤4- x² where the…

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Q: 21) An insurance company plans to sell a $250,000 one-year term life insurance policy to a…

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Q: Select the FIRST correct reason why the given series converges. A. Convergent geometric series B.…

A: We will use corresponding test to check series convergent or not .  Note: maximum 3 sub part are…

Q: E. Explain what a second-degree equation in tow variables, x and y, is, and how you can ell whether…

A: Please look into the next step for details

Q: Find the characteristic polynomial of the matrix [200 A = 1 3 2 If the polynomial is 42 3 -1³ +C₁1²…

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Q: Use the Trapezoidal Rule to evaluate the integral fx-¹dx. 1 2|3 NIC 34 2

A: We have to evaluate the integral ∫12x−1dx by using the trapezoidal rule. Here, a=1 and b=2 And…

Q: Classify and solve the following ODES. a..

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Q: (c) Use integration by parts to evaluate the following integrals: √ 2 2 e 3x sin2x. dx

A: We have to evaluate the integral,   ∫012e3xsin2x dx  by using integration by parts.

Q: Find the point P where the function f(x, y, z) = x¹y¹z7 reaches the maximum value for x, y, z ≥ 0 on…

A: Given the function fx,y,z=x4y4z7 reaches the maximum value for x,y,z≥0 on the unit sphere x2+y2+z2=1

Q: Use a calculator to approximate the reduced row-echelon form of the augmented matrix representing…

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Q: is a solution to the ODE a. x²y" - y = 0; b. x²y" + 6xy' + 4y = 0. Find the values of m for which…

A: The general form of a second-order homogenous differential equation is given by…

Q: Use the forward-difference formulas and backward-difference formulas to determine each missing

A: Given,  x f(x) f'(x) 0.5 0.4794   0.6 0.5646   0.7 0.6442

Q: , Use the figures below to evaluate the indicated derivative, or state that it does not exist. If…

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Q: Solve the system of linear equations using the Gauss-Jordan elimination method. 2x + 2y + z = 9 X…

A: Given equations are 2x+2y+z = 9x+z = 44y-3z= 15

Q: [34] Find the Laplace transform of f(t): = t² 2t - 8 2 te-2t t 6.

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Q: Find the general solution of each of the following partial differential equations 9uxx-21Uxy + 49Uyy…

A: Find the general solution of each of  partial differential equations  9uxx - 21uxy + 49uyy = 0

Q: 1 Зі -5 A = | ₁/ i

A: Given matrix is A = 13ii-5

Q: Given the geometric figure below with 5 vertices and 8 lines: ů a. Input the degree number for each…

A: Degree Of Vertex :  Number of edges adjacent to that vertex.

Q: 5. In each of the equation below, find an equation in rectangular coordinates. a)p+ 3 = e b)r -2 = 3…

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Q: After differentiating the last expression we obtain that 1 C(y) = sin 3y. Hence, we get 1 1 sin…

A: Given that, Cy=13sin3y                   1 and after differentiating the last expression, we get…

Q: 77 The value of definite integral (a) 2 (b) 3 x²x² +1 (+(²2-0²-1))) ₁ (c) 8 + ln x dx is equal to:…

A: To find- The value of definite integral ∫13x2x2+1 + lnx2x2x2+1 dx is equal to: 2 3 8 13

Q: d) Let XCR be a set and f: X→ X be a function. If X is compact and convex, then f admits a fixed…

A: d) If X is compact subset of R then X is closed and bounded. If X  is convex subset of R then X is…

Q: Can you answer C?

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Q: Let A, B & Mn (C) be Hermitian matrices. Then

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Q: find the area inside r = 3sin 3theta and inside the circle r = 3 sintheta

A: The area between two graph is given r1(θ) and r2(θ) such that r2>r1 between the limits θ1 to θ2…

Q: The equation of the line that passes through the point (-4,-2) and is parallel to the line y = 4x -…

A: Concept: Slope intercept form of a equation is in the form, y=mx+c Here m is the slope of the line.…

Q: From Rogawski 2e section 5.5, exercise 2. A population of insects increases at a rate of 290 +6t +…

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Q: (a) y(t) = x(1²) Deterr

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Q: Numerical solution of Ordinary differential equations Consider the following initial value problem…

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Q: Find the coordinates of the intersection points A and B, between the closed curve (x + 1)² + 4(y-1)²…

A: In this question, we can find the intersection points of the given curve. Using the equation of…

Q: Question 7 Use Power Method with initial guess Xo = the corresponding eigenvector of A = 8 to…

A: Given A = 4-52-3 and  x0 = 10

Q: Use double integration in Polar coordinates to find the shaded area (the area inside the rose r = 2…

A: The solution is below.

Q: Let S₁ be the hemisphere with Cartesian equation z = 6 - 36 – x² - y² and S₂ be the upper nappe of…

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Q: The population of a town is given by the equation  P = 1500(20.2t),   here t is the time in years

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Q: Use the method of disks/rings to determine the volume of the solid obtained by rotating the region…

A: We have to find the volume of region.

Q: Let A and B be two matrices innRREF , if they are row equivalent then A=B.

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Q: Exercise III Use the method Laplace transform to solve the following. (a) y"-10y +9y = 5t, y(0) =…

A: a)

Q: Match each of the following with the correct statement. A. The series is absolutely convergent. C.…

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Q: 1. Define f: R → R by f(x) = ar³ + br for a, b = R. (a) For which a, b is f injective? Prove your…

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Q: A company plans to manufacture closed rectangular boxes that have volume 24 cubic feet. The cost per…

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Q: an In each of the equation below, find equation in rectangular coordinates. a) P+3=e b) r-2= 3020

A: A polar coordinate system contains a reference point and a reference direction. The reference point…

Q: The Cayley-Hamilton Theorem states that a matrix satisfies its characteristic equation. For example,…

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Q: The fixed point iteration method X(+1) = g(x₂) converges if O I g'(x) | = 1 Og'(x) | > 1 Olg'(x) |<1…

A: We want to find true statement.

Q: II. Draw the next two figures in each pattern below. 1. 2.

A: To find- Draw the next two figures in each pattern below.

Q: Example 7.1. The table gives the distance in nautical miles of the visible horizon for the given…

A: Here we need to find y at x = 218 ft and x = 410 ft.

Q: 10 Mr. Kelly pays $10,140 a year for rent. His rent is a constant amount each month. Which equation…

A: Solution :  Given that  Mr.Kelly  pays $ 10,140 a year for rent

Q: Use right triangle ABC in the figure below and the Pythagorean theorem to find the length of the…

A: Here we use Pythagorean theorem to find this.