Show that arctan(Tx) – arctan(x) -dx In T. by first expressing the integral as an iterated integral.

Q: y+2y +2y = sin at; y (0) = 0, y (0) = 0 %3D

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Q: The phase portrait for the differential equation is shown in the Figure. i)What properties of the e...

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Q: T1(t) x2(t) a Suppose x'(t) = Ax(t) where A = , а, b, с, d € R and z(t) — Use the d 0, definition of...

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Q: Solve for the future value of PHP75,000 invested at the end of each month for 3 years at 2.7% compou...

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Q: Determine the inverse of the function . f (x) = 3x / 2x - 5

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Q: 1. In this problem you will prove that the shortest distance between two points is a line using the ...

A: Given: Using the calculus of variations, let's show that the shortest distance between two places is...

Q: In integrating the function fin Srdr using integration by parts, what would you choose for your de?

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Q: 3lnx – 3lny The function f (x,y) = x-y (A Homogeneous of degree 2 B) Nonhomogeneous C Homogeneous of...

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Q: 3 Consider ominimizing 2Xit3262over Set coxresponding SLP. fe

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Q: It is given that   f(x) = 2x³ + 3x² - 8x + c where c is a non zero constant It is further given th...

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Q: In integrating the function fxIn Sx dr using integration by parts, what would be your du? du = In 5x...

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Q: Find the tangential and normal components of acceleration at the given time t for the space curve r(...

A: Brief explanation of the answer has been provided in the file attached below. If you have any doubts...

Q: Solve the following: (i) 2ᵡ-⁶ = ⅛   (ii)  log₅ (x + 3) =1− log₅ (x -1)

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Q: Which of the following differential equations can be solved by separation of variables? A) sin 2y dx...

A: A Given differential equation ex2sin2ydx−3x−1cos2ydy=0......1. Simplify the equation 1 ⇒ex2sin2ydx=3...

Q: Identify the type, order, degree, DV, IV and name of the DE. (y'")3+5(y")2-2y' - 5y=0

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Q: Read each of the two statements carefully. Choose A(if both statements are true), B(if the 1st state...

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Q: The ellipse y? q? + = 1 x2 %3D a2 62 is rotated about the x-axis to form an ellipsoid. Find the surf...

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Q: Let Hand K be subgroups of an Abelian group. If |H| that HN Kis cyclic. Does your proof generalize t...

A: This question is related to group theory. Solution is given as

Q: Solve dy ху = 1+x +y+ xy dx y = In|x(1 + y)|+c Option 1 In(y + 1) = In(x) – Option 2 y = x + In|x(1+...

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Q: In this problem, verify that the given functions y1 and y2 satisfy the corresponding homogeneous equ...

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Q: By using Laplace transform to solve y +y = tet with y (0) = -2, what would the particular solution b...

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Q: 9. Given the figure below, what is the measure of NO? * B 360 A 36 см M 16 24 30 60 x+ 14 3x - 18

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Q: Let S = {(1,1), (1, 2), (2, 1), (3, 2), (3,3)}. Consider the polytope conv(S). Write this set as {r ...

A: The given set is S=1,1,1,2,2,1,3,2,3,3. We know that the polytope:  ConvS=λ11,1+λ21,2+λ32,1+λ43,2+λ5...

Q: Given set A = {1, 3, 4, 5, 7} and set B = {2, 6, 8, 10}. Find the sum of the cardinality of both set...

A: Cardinality of a set: Cardinality is the measure of set's size, i.e. number of elements of the set. ...

Q: Show that u = x³ – 3xy? is a harmonic function and find a corresponding analytic function f(z) = u +...

A: To show that u=x3−3xy2 is a harmonic function and to find a corresponding analytic function fz=u+jv....

Q: 4. Prove that it cannot be the case that x EA\B and x EB\C. (Hint: prove via contradiction).

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Q: What is the order of the differential equation? d³y dx3 4 + 6y = 3 dx, 1 O 2 4

A: Solution

Q: 2. If AMAY = ADEC, for which value of x will make the triangles congruent it MA = 4x + 7 and DE = 2x...

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Q: The indicated function y1(x) is a solution of the given differential equation. Use reduction of orde...

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Q: Using Fixed-Point Iteration with an initial value of 4, HOW MANY NUMBER OF ITERATIONS are needed to ...

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Q: I Find the differential equation of the family of plane curves described, Dran at least three member...

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Q: Select the statement which is true about the function.

A: graph is symmetric about y axis area and shape both side of y axis is same answer is function has ev...

Q: Solve for x, y, and z by any numerical methods that is applicable. Use x = 2, y=6, and z=5 initially...

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Q: Answer 3 only

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Q: (d) Compare the results of part (b) to the optimal solution contained in the text. Comment on the ro...

A: Solution: Objective:       Minimize T. Step 2: Select the modeling approach. We will model this pro...

Q: solve the e = 1.2 then the val

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Q: Given set A = {1, 3, 4, 5, 7}; set B = {2, 6, 8, 10} and set C = {5, 7, 8, 9}. Find the union of set...

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Q: At a school with 100 students, 35 students were taking Arabic, 32 Bulgarian, and 30 Chinese. Twenty ...

A: We have to solve the given function by Venn diagram.

Q: Q.1. Justify why the level curves very close to the origin (0, 0) for the function f(r, y) = (1-)(1-...

A: To find the level curves, equate the function fx,y with a constant C.

Q: in integrating the function f(3x + 5)(cosar using integration by parts, what would be your du?

A: Solution

Q: If y" – 2y + 6y = sin(3t), y (0) = 2, y (0) = 3 %3| then find Y (s) = L {y(t)}. O Y (s) = -20+0)(6*+...

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Q: Read each of the two statements carefully. Choose A(if both statements are true), B(if the 1st state...

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Q: Let ryz , (교2 + y"), 17 F = ( x2 +y? be a vector field on U = {(x, y, z) E R³ | (x, y) # (0, 0)}. Fi...

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Q: y,(x) = ež, y',(x) = xe y" – y' + 0.25y = 0, a. Verify if the functions yı and y2 are solution of th...

A: To check that a function is  a solution of a differential equation, if we substitute in the left han...

Q: Select the statement which is true about the function. 8 7- y = Vx-1+2 4- 1 2 3 4. 7. O This functio...

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Q: 3y" + 6y + 3y = 9, y(0) = 0, /(0) = 6 %3D

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Q: - Determine whether the series is convergent or divergent. 1+ In? n n In n 1 (a) (b) 1 + 22 + 32 + +...

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Q: Directions: Determine if the function is continuous or not at the following values and intervals. 1....

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Q: Read each of the two statements carefully. Choose A(if both statements are true), B(if the 1st state...

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Q: 1. A closed box, with a rectangular base, whose length is twice its width, is to have a surface of 1...

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