sqrt(i^sqrt(i)) = 0.48761947 + 0.302570281 i

Q: H has been conicctured that there are indefinitely many primes of the form na 2. Ex hibit five sUch ...

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Q: 5х — 3 dx = 2 ln |æ + 1| + 3 ln |x – 3| + c J (x + 1)(x – 3) -

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A: The tangent line to a plane curve at a particular position is the straight line that "just touches" ...

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Q: A spot light is on the ground 20 ft away from a wall and a 6 ft tall person is walking towards the w...

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Q: 3. If v = sin- (4) + tan-' (±), find the value of r + y. 4. If z= ear+by. f(ax – by), prove that b +...

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Q: Let z = cos(xy) + ycos(x), where x=s^2+t and y=s-t^2 . Find the partial derivatives (derivative z)/(...

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Q: Find the distance between the two vectors 2 W =

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Q: B В. A B. P. P.

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Q: (b) Find all the critical points of the function: f(r, y) = +y- 3ry+7, and identify their nature as ...

A: We have to find the extreme value of f(x,y).

Q: dx +4x = 2e 3 , x(0)= 5 dt (d) dx +4x = sin 2t , x(0)= 0 dt (e)

A: Laplace transferom, solve the differential equation by using Laplace transferom

Q: 2. Fill in the table. Show your work and keep answers exact. Degrees Radians 230° 等

A: Solution

Q: (a) If r and s are regular expressions, explain why (r+s)* + r* + s* . (b) Also carefully explain wh...

A: Regular expressions:- If r and s are regular expressions then, r*=ε+r+rr+rrr* and s*=ε+s+ss+sss*.

Q: 5. Consider the function g(x)--5r (a) Using seed na =-0.1, write the first iterations of Pai =P P. (...

A: In part (a) we compute values of On using previous values and complete the table. In part (b) We sol...

Q: 22 23 24 25 26 3 2.32 - 3.33 4.34 5.35 .. 6.36

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Q: -k-1,g-

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Q: 1. Find the lim F(t), where sin(3t – 3) F(t)

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: If 2x3+3ycos(xy)+(cx2y2+3xcos(xy))y'=0 is the exact differential equation then c =?

A: The exact differential equation is defined as the differential equation of the form Mx,ydx+Nx,ydy=0,...

Q: 4 — V16 — 9г? In 4 1 1 dx х V16 — 9х? + c 3x

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Q: (a) (b) 8llog(2-j3)]e

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Q: Find the Fourier Transform of the following function f(t): f(t) 1 1.

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Q: Let H be a solid region given by 22 V + y? and * + y² + 2? < 6 whose density at any point is given b...

A: To find the mass and z coodrindate of the center of mass of the given region.

Q: Find a basis for kernel of the matrix [-2 0 -410 -32]

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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: 2n+1 4. Use the definition to prove that ) converges.

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Q: State whether the following statement is true or false. If f(x) = x2 and g(x) = /x +9, then fo g(3) ...

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Q: Solve osdinary DIPPedential Eguation + qy 6 Cos(3t) Y(0) = 0 %3D Y'(0) = 0

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Q: Apply the Extended Euclidian Algorithm to find 1/21 modulo 59 with a table

A: We will apply Extended Euclidian Algorithm to find 121 modulo 59 i.e., multiplicative inverse of 21 ...

Q: If o = 6.2 and SD( y = 2.86 , what is n =? %3D

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Q: (2) Use Stoke's theorem to evaluate the integral where S is the surface given by 2 = e4--y - 1, z 2 ...

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Q: Given the function below

A: Given,           f(x)=-162x3+8913

Q: Question set-up attached as image. Over the interval 0 ≤ t ≤ 28, what is the closest the plane is t...

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Q: Evalulate J-{xx² dx by usig trapezoidel eule m:io

A: Introduction: The Trapezoidal rule is one of the basic methods to evaluate integral for equispaced i...

Q: x V4 – x² + c - dx V4 – x2 2 arcsin 2 8 IN

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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: Compute the Taylor polynomial T5(x) and use the Error Bound to find the maximum possible size of the...

A: Given: f(x)=cos(x), a=0, x=0.175 To find: The Taylor polynomial T5(x) and use the Error Bound to fin...

Q: Solve the linear system using Gauss-Jordan Method 3a + 2b + 3c + 4d = 55 2a + 5c - 3d = 8 40 -b+ 5c-...

A: Given: A system of equations, 3a+2b+3c+4d=55 2a+5c-3d=8 4a-b+5c-2d=15 5a+2b-3c+4d=37  

Q: Use (direct) comparison test to determine whether the given series is convergent or divergent. n +1 ...

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Q: An unforced, undamped Duffing equation (see web and Kreyszig §4.6 for applications) can be modelled ...

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Q: yptosyste ciphertext represent more than one plaintext letter. To give an example of this type of cr...

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Q: 1 dx = arcsec(x – 3) + c - (х — 3) Vx? — 6х + 8 6x + 8 -

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Q: dx V2x – x2 arcsin(x – 1) + c -

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Q: [4xy + 2x] 5) Let F(x, y) =[ 2x² + 1 Is F conservative? If so, give a potential function for F. %3D

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: We consider the following Cauchy problem y '(t) = yt, 0SIS1, y(0) = 0. 1) Prove that the function y ...

A: The Cauchy problem given to us is as follows: y't=y14,   0≤t≤1y0=0 (2) We are asked to solve the ini...

Q: Consider a, = V4n² + 3n – 2n for n > 1. %3D -

A: Introduction: The sequence is a set of functions with the set of natural numbers as the domain of de...

Q: (CILO 1, 2, 3, 4) Given that u(x, y) = xy, determine the following: %3D (a) ux and uy (b) S uxdy acſ...

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Q: An unforced, undamped Duffing equation (see web and Kreyszig §4.6 for applications) can be modelled ...

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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: Evaluate each expression using the values given in the table. - 1 - 4 - 1 - 2 - 1 - 3 - 2 1 2 3 - 6 ...

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