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Q: (a) Compute directly I = S Ss F-dS, where S is the surface of the sphere x? +y? +z? = 4 and F = xi+y...

A: X²+y²+z²=4=2² Therefore radius of sphere is 2.  

Q: (1) Evaluate the following functions 1. In(3-i6) 3. cos (1+i3) , 2. e(0 52) , 4. tanh (2-i5)

A: As per guidelines, we solve only first question. 1. Given      ln3-i6

Q: Task 1 (a) A low voltage transformer manufacturing line has a purchase order of 1700 piece. If the m...

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...

Q: test the follown divergence or 1. nin2n n=2

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Q: Given that f(x) = 3 sin (πx/2+ 3) + 1, find the following quantities: (a) The Amplitude. (b) The Per...

A: Here, we compare given f(x) to a sin(bx+c)+d

Q: (x² + y?)3/2' + (x² + y?)3/2J OVer the curve F(t) = (e' cos(t))i+ (e' sin(t))j from the point (1,0) ...

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Q: Problem from book

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Q: Help me fast so that I will give good rating.

A: As per guidelines only first three are solved.

Q: In the proof of + 1), arcsinh x = In (x + / -00 Thus: [6] + [7]x – [8] = 0 K e-2y Multiply with [9]...

A: Given to prove : arcsinhx=ln(x+x2+1   , -∞<x<∞ The complete proof is as follows: Let y=arcsinh...

Q: In mid to late March a COVID analyst predict the number of US cases could be modeled by the function...

A: Given: In mid late March a COVID analyst predict the number of US cases could be modeled by the func...

Q: Sketch a graph of the function f(x) = - 3 cos +1 (Entry tip: The first graphing tool will drag the s...

A: Solution: Given function is   f(x) = - 3 cos (2x/5) +1

Q: A community college offers courses in Computer Programing and Introduction to Computer Science. Each...

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Q: solve the area of the region bounded by the two functions. y=-(1.6x+7.64)2 + 1.8 {-7.118<x<-2....

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Q: The coefficient matrix contains a parameter a. *-(; )- (a) Determine the eigenvalues in terms of a. ...

A: we have x'=9α9-11xeigen value of9α9-11the characteristics equation is  λ2+2λ-(99+9α)=0λ=-2±4+4(99+9α...

Q: Let  f(x)=sin(ln|x|). Justify whether limx→0f(x) exists. If it exists, enter the appropriate value. ...

A: f(x)=sin(ln|x|). Justify whether limx→0f(x) Since sine is periodic, then it does not approach any va...

Q: Determine the volume of the solid of revolution when the region enclosed by the curve y = x2, the li...

A: The given region is enclosed by the curve y=x2 and the lines y=0 and x=2. The region is rotated abou...

Q: please help me

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Q: (c) Evaluate the line integral F. dr where C is given by r(t) 3 (t + 1)i + (2- t2)j where 0 <t< 2.

A: Given  The given function is Fx,y=2xy3i+1+3x2y2j Use formula For conservation ∂p∂y=∂q∂x  

Q: In minimization Linear programming problem, considering that the line of the objective function come...

A: When a given linear programming problem is to be minimized. It is provided that if line of objective...

Q: 14. Sketch the graph of f(x) which satisfies the following conditions: f'(1) = f'(-1) = 0, f'(x) 0 ...

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Q: 21. There are 2 coffee machines at the Café. Probability that machine1 fails is 0.3. Probability tha...

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Q: 2. Use separation of variables to solve (a) y' = -2y, y(0) = 1 (b) 4y' = y², y(0) = 4 %3D (c) y' + y...

A: Note:  "As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly rep...

Q: Suppose on a CD, you like 10 out of 13 songs. If you randomly select four songs to be played once, w...

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Q: Let V be a vector space of dimension n > 1 and suppose TE L(V). Here T is a fixed map which will not...

A: 1. PT:pn2(ℂ)→ℒ(V) is linear map  let p(x),q(x)∈pnr(ℂ) then if α∈ℂ PT[αp(x)+q(x)] =α(p+q)(T) =α p(T) ...

Q: Please, will upvote for correct solution!

A: The given system of equations can be converted to the following matrix form:                        ...

Q: Determine whether the work done along the path C is positive, negative, or zero. y 1c

A: The work done by a vector field F→along any path C (represented by the position vector r→) is given ...

Q: X1 +x2 + 3x3 - 2x4 = 0 2x1 + 3x2 + 7x3 – 2x4 = 9 3x1 + 5x2 + 13x3 - 9x4 = 1 %3D -2x1 + x2 – X4 = 0

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Q: Sketch the solid whose volume is given by the iterated integral | SLL dz dy da. Then rewrite the int...

A: According to the given information, it is required to sketch the solid given by the integral.

Q: Evaluate the surface integral R using the divergence theorem

A: Given that F→=xyzi→+y2+1j→+z3k→ S be the surface of the cube 0≤x,y,z≤1 Now, ∇×F→=i→j→k→∂∂x∂∂y∂∂zxyzy...

Q: Need help to solve problem

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Q: For each positive integer n, find the number of positive integers that are less than 210n which are ...

A: ANSWER :

Q: Determine the polynomials q(x) and r(x) such that f(x) = g(x)q(x) + r(x), where f (x) = xª + x³ – 3x...

A: Given the polynomial f(x) and g(x) and we have to find the polynomial q(x) and r(x): fx=gxqx+rxWhere...

Q: Help

A: Given that the economy of the island nation is based on the sectors agriculture (first sector) and t...

Q: please see image

A: Step:-1 Divergence Theorem:- ∫∫S F dS=∭div(F) dxdydz=∭div(F) r dr dθ dz  Given that  F(x, y, z)=y2z3...

Q: a Let A = PDP-1 for some invertible matrix P, D= and A Select all correct statements. %3D d a99 99 A...

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Q: Sum of series (c) to 3 decimal places

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Q: 3. Sketch solution curves for a variety of initial conditions for dw = (w - 3)(w – 7). dt

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Q: 14. Let X = {n eN:0 < n < 999} be the set of all numbers with three or fewer digits. Define the func...

A: A

Q: Use a substitution to shift the summation index so that the general term of the given power series i...

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Q: Show that x(t) * u(t) x(t)dt %3D and find its Fourier transform.

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Q: (a) For what value of n does V· (r2nêr) = 0? (b) For what value of n does V x (r2nêr) = 0? %3D

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Q: Can anything be said about the curl component of a conservative two-dimensional vector field? Give r...

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Q: Thanks

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Q: Give examples and explain in a table of the two types of tabulation : 1-simple tabulation  2-complex...

A: In Simple Tabulation, Data is tabulated to one Characteristic. Also called as One-Way Tabulation. It...

Q: Will upvote!

A:  Now , we have got 4 points .  We first try to find the image of those points then plot them on the ...

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.