hw.2 Evatuate the fotawing cartesian integrats by changing theminte equivalent Pala integrals: dy dx

Q: sin x – e-* = 0, [0,1]

A: Let,f(x) = sin(x) - e-xso, f(0) =-1<0 and f(1) = 0.47 > 0 ⇒there is root between 0 and 1In…

Q: Solve the initial value problem for transverse vibration of a taut string of length L which is…

A: Sol

Q: اسخدملط Find the akeaf fakthie fallowingregions: Area enclesed by thediagram. V= sin 3 to

A: Given polar curve isr=sin3θThe area enclosed by the polar curve is determined as shown below.

Q: How many terms of the series 00 (-46)" 1+2" are needed to compute the sum of the series with an…

A: Given: A series ∑n=1∞-46n1+2n. To find: Number of terms needed to compute the sum of series with an…

Q: Write the equation in standard form of the circle whose center is at (0, 0) and that is tangent to x…

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Q: SET-UP the double integral that solves for the volume of the solid

A: To set up a double integral to find the volume of the solid.

Q: First, it could buy at par a $10,000 government bond with a $500 annual coupon that matures in three…

A: We have three different cases and we need to find the interest rate for these situations.

Q: 6. Given a 2-unit factor of 0.87 find each of the following: (round answers to 4 decimal places) a)…

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Q: Factor these two matrices into A = XAX-1: [1 2] A = X = A = [1 1] A 3 3 X = A = (Note that you must…

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Q: Let X be the graph of f(x) = r²/3 given below that is, X is the subset of R x R satisfying the given…

A: Sol

Q: QUESTION THREE (a) Find x and y given that GOG) = G) %3D (b) Determine x, y and z if (3,–1,2) =…

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Q: Evaluate the iterated integral: dydr.

A: The given integral is∫141∫x2xxydydxThe integral is determined as shown below.

Q: %3D Let X be the graph of f(x) = x2/3 given below

A: Follow the steps.

Q: Problem 3 Use Lagrange multipliers to find the dimensions (in meters) of a rectangle with perimeter…

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Q: nd the absolute extrema of the function f(r, y) = ry-I - 3y on the triangular region th vertices…

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Q: values of matrix 7 3 is 29, the 9.

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Q: 4. Use the contour integration to find f G dx. 1 x4+16

A: Answer: π/(16√2)

Q: Let X be the graph of f(x) = r2/3 given below %3D that is, X is the subset of R x R satisfying the…

A: Sol

Q: 3. Let f(r, y) = Isin ry. Find: (a) fa(1,9) (b) fy(1, y) (c) fyy(I, y) (d) fyz(I, y)

A: To find  Partial derivatives of the given function.

Q: The slope of the surface z = ry in the r-direction at the point (2,3) is slope of this surface in…

A: The slope of the surface z=f(x, y) at x0, y0 in the x-direction is fxx0, y0. The slope of the…

Q: Let 1 9 i = Find a basis of the subspace of R4 consisting of all vectors perpendicular to v.

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Q: The initial tableau of a linear programming problem is given. Use the simplex method to solv…

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Q: 2. The slope of the surface z = ry in the r-direction at the point (2,3) is slope of this surface in…

A: We have to find the slope of the surface in the x and y direction at (2, 3).

Q: 2. Let X = R² – (0,0) and ~ be defined over X by setting x~y + y = tx for some non-zero t e R. Given…

A: Sol

Q: theorom J f E Riemann La,b] and feas>o for xE Ľ q,bJ then a

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Q: According to the 2010 census , the population of New York State is 19,378,102 and the total…

A: As per the question we are given the 2010 census data of United States. From that we have :…

Q: h.2 Evatuate the foltowingcartesian integrato by changing them inte equivalent Pelarintegrals: 3-…

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Q: Answer the following muitiple-choice awestion below alguora A22. A is a 7x7 natrix. Assume that A…

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Q: (a) / 6y drdy = fip (b) 6z' y dydr dr /-

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Q: (iv) Let be an odd prime number and let r be the rational number 1 1 r = 1+ 2 1 + 3 Prove that p…

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Q: 3. Let C1 be the circle r = 3 cos 0 and C2 the cardioid r = 1+ cos 0. (a) Find all point(s) of…

A: It is given that r1=3cosθ and r2=1+cosθ. We have to find the points of intersection of the curves r1…

Q: Label each statement True or False. Not all circles are similar. There is only one transformation…

A: Below given clear answer

Q: ly manufactur nk for the exp- greed that she

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Q: 23. Find the coordinate vector [r]B of x relative to the given basis B = {b1, ...,bn}. 8 bị by 4 b3…

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Q: The​ O'Connors own a small janitorial service. John requires 14 hour more time to clean the Moose…

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Q: 4. The equation f (t) = models the bacterial count, in thousands, for a sample collected from pond…

A: Given that,The equation f(t)=7tt2+5t+4 models the bacterial count, in thousands,for a sample…

Q: Q2) Find the optimal solution using simplex method Max z = 8x, + 10x, + 7x3 s.t: 4x, + 6x2 + 3x3 5…

A: The problem is max z=8x1+10x2+7x3 subject to 4x1+6x2+3x3≤607x1+2x2+5x3≤406x1+6x2+9x3≤36…

Q: (x – 2)² – In x = 0, [1,2]

A: Suppose the root of the function fx lies in the interval xn-1,xn. To determine the solution of the…

Q: Reach: Give an example of a linear system that does not have two straight line solutions in the…

A: To find such an example w will build up a linear dynamic system whose equilibrium point is a spiral.…

Q: Find local extrema implict function f(x,y) = x*y given condition

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Q: v 38. Motion along a circle Show that the vector-valued function r(1) = (2i + 2j + k) i + V3 + sin t…

A: Sol

Q: Let -2 -3 3 4 2 and let W the subspace of R4 spanned by i and v. Find a basis of W+, the orthogonal…

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Q: The matrix 4 0 0 12 A = 8 12 12 8 -8 0 -4 has two distinct real eigenvalues A1 <\2. Find the…

A: Given matrix:A=400012012128088-80-4-4To find: Eigenvalues and a basis for each eigenspace.

Q: (i) Use Euclid's algorithm to find a multiplicative inverse of 23 modulo 75, and hence solve the…

A: This is a problem of Number theory, counting, and modular arithmatic.

Q: -у — (: 3x)dx + curve passing thr• atisfying the diffe -2x 2x in

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Q: Describe the graph of the equation: r = 4ti – 5j + (1 + 2r)k. [Choose the correct answer.] O The…

A: Introduction: In three dimensional Euclidean space, a line can also be represented. An equation of a…

Q: The day after, their class decided to pick a president. Despite telling the class they did not…

A: We will find respective probability and then use exhaustive events property .

Q: a) ir(A - 1)1- ( -2) %3D Find the matrix A

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Q: Area of theregion inside the circle (r=1) and outside the cardiad (r =1+cos).

A: Using polar coordinates the volume of the solid is given by V=∫∫A r drdθ

Q: II. Solve each equation by completing the square: 4. x2 + 12x – 2 = 0 5. x(x – 1) = 30 6. 2y? + 7y –…

A: Solving Quadratic Equations usingCompleting the Square we follow the step given below : 1. Divide…