1+2 tan () V3 1 dx 2+ sin x arctan V3 + c

Q: The value of the integral / (t tan-+3y+sin-r)dr + (cot-'y+e +7x)dy, where C is r +y =9 is %3D

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Q: 6. y = In (e* + e") 7. y = tan e + etanax 8. y = In(x + Vř +1) 9 y = Arctan(;

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Q: I. Consider an = V4n² + 3n – 2n for n >1. 1. Determine if {an}-1 is convergent or divergent. 2. Is >...

A: Simplify the expression of an. Multiply and divide the given expression of an by 4n2+3n+2n to simpli...

Q: Find at (2, -2, 1) if dy x2 + y? + 22 = 6xz + 6yz + 21 %3D

A: Given that x2+y2+z2=6xz+6yz+21 Then we have to find ∂z∂y

Q: The arc length re-parameterization of the line l: F(t) = (1,1, 1) + t(1,2, 3) with 0 <t < 1 is given...

A: This is a problem of curve parametrization.

Q: (a) G = { la, b, c, d e R satisfying ad – bc = 1}; matrix multiplication. = ( a %3D

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Q: 3pi Find the value of tan, - 2i, ( 4 一 13 j1490 355 1491 13 355 1490 13 355 1490 1491 13 355 1490

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Q: Find the roots of æ = 8. Answer: a. 2, 1+ j1.732 and 1- j1.732 b.6, 1 + j6 and 1- j6 c. 2, -1+ j1.73...

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Q: The curve C is the circle of radius 5 contained in the plane z 5 and centered around the z-axis, ori...

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Q: A group of college students was surveyed to determine their favorite class among History, Mathematic...

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Q: 2. In each of the following cases: parametrize the curves; and determine whether the curves are orth...

A: (a) The two curves are given as : curve I : y = x2     .................(I) curve II :  x = y2    .....

Q: ot divisible by 4, then x--4x-3 is also not divisible by 4. m,n E Z, then m² – n² is even or m – n –...

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Q: 1. f(t) = -e-3t sin 4t + 3

A: L { sinat } = as2+ a2 , L { eat f (t) } = F ( s- a) where  F (s)  is Laplace transformation of f(t)L...

Q: List the eigenvalues of A. The transformation xAx is the composition of a rotation and a scaling Giv...

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Q: arctan(x) dx = x arctan(x) - 2 In(1+ x?) + c

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Q: 4. Find the values of w, x, y, and z using Gauss-Jordan Elimination 1 5 -2| 7 3 2 0 |12 2 -2 0 3 5 -...

A: Since you have asked multiple questions, we can solve first question for you. If you want other ques...

Q: estion: 3 a) Solve the given initial value problem. x2 d-2xy = 3y*, y(1) =

A: The solution of the differential equation x2dydx-2xy=3y4 is defined as the function which satisfies ...

Q: The improper integral 1 -dr 2+2r+2

A: The indefinite integral: ∫f(x)dx is same as the improper integral: ∫-∞∞f(x)dx. It is known that: ∫1u...

Q: Find the inverse of the matrix ... Choices: -3 1 3 ... 10 [-7/2 3/2 8 c. 10 [7/2 3/2 1/2] a. 4 1 4 1...

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Q: 6. Write the rule to describe the rotation. I' A I A'

A: Any point in the cartesian coordinate system is represented by the ordered pair: x, y. Start from th...

Q: The absolute minimum of

A: Given,             f(x, y)=x2+y2-4y and     D=x, y | y≥0, x2+y2≤9 

Q: f(t) 1 2π

A: Here graph of periodic function is given. We determine a3.

Q: f(t) 1 2π

A: Graph of periodic function is given. We determine b4.

Q: 1 5. If the Laplace transform of f(t) = e %3D find F(4s)

A: Given that the Laplace transformation of f(t) = e^(1/s)/s. We have to find F(4s).

Q: solve this non-homogenous differential equation- y" + 2y' + y = x sinx e^x hint: y=e^mx be the trial...

A: We have to find the general solution y, y=complementary function+particular Integral.

Q: 2 2. f (t) 2 cosh 3t

A: The given problem is to find the Laplace transform of the given function. Given f(t)=2cosh2(3t).  

Q: Describe the conditions that would create an ambiguous case with two possible solutions.

A: Ambiguious case of law of sines. Now lets take an example. Now let angle A be 45 degrees, side a =9 ...

Q: Let g be a decreasing continuous function on [0,1), assuming the values g(0) = 1 and g(1) = 0. Show ...

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Q: 5. Consider the false statement Vr, y E Q, x < y = A counterexample is a = -1 and y = -2.

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Q: T AppLiCATIONs 1. Schve for the orthogonal trayectories (a+x)y² = x*( 3a-x)

A: 1) solve for the orthogonal trajectories a+xy2=x23a-x                  ...i differentiate with respe...

Q: 3. f (t) = e# = et cos 5t - 3t³

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Q: 4. f(t) = (1 + te-t)* %3D

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Q: 4. f(t) = (1 + te-t)° 3

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Q: Q.2 Find the vertex point and show in graph: y=2x²-4x+4

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Q: Find the extreme values ​​of f(x, y) = 2xy subject to the condition x + y = 2.

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Q: 1. Solve the Laplace equation defined by the figure below T-0 T-100 by the conformal mapping techniq...

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Q: exists mo so that for k > mo, |ak| < 1? If you can do on test.)

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Q: Using theorem or tedt. Justify whether is on ergent given ecries a divergent or too -3

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Q: f (t) 7t2 te-4t

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Q: ADVANCE ENGINEERING MATHEMATICS: Answer the following with explanation What Mclaurin Series this fun...

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Q: Transform the following point, using the given rule: (-3,8) Rule: (x,y)-> (x-8, y+2)

A: A coordinate system is a convention that is used to represent a point uniquely using a set of number...

Q: 5. (y* – 2xy)dx + 3x²dy = 0 when y(1) = 0 %3D

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Q: (a) Let an → 00 and bn + -00. Then an – bn → 00. (b) Let an 0 and b, → 0o. Then a,b, + 00. (c) Let a...

A: This is a problem of sequence and series.

Q: Find the symmetric equations for the normal line LN to the surface S:f (x, y) = 5Vx2 + y? at the poi...

A: if  f is  function of (x,y,z) then gradient of f is defined asfx i + fy j + fz k ∇f is the normal to...

Q: Let g : N Z be defined by g(0) = 2 and Sa(n – 1) 29(n- 2) if n > 2 and n is even. if n >1 and n is o...

A: This is a problem of recurrence and counting.

Q: Solve & Discuss It! Gabrielle wants to cover the floors of a room and a haliway in her dollhouse. Sh...

A: Let us consider a rectangle of length L and breadth B then  area of rectangle is  area of rectangle ...

Q: 1. Find the domain and the range of the given function and identify and graph some of its level curv...

A: (a) It is given that,                            fx, y = 1xy And we have to find the domain and rang...

Q: g(t)= 2e"u(t – 1) p(t) = 6[u(t – 2)– u(t –4)]

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Q: 8) Find the parametricequation of the Line passes through p(2, 13to 3x+y-22 =5 and perpendicularof 4...

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Q: Let A 1B = 5 l, and C-1 = If X is a matrix that satisfies: %3D %3D 2B = Al2 - XC then X is

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