Consider the map F:x 3x on the circle S' = R/Z. • Find all fixed points of this map. • Find all points of period 2.

Q: Find the particular/primitive solution to the differential equation (y+y cos x - yex)dx+2(x5+ln x - ...

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Q: A circle C in the plane x+y+z=9 has a radius of 2 and center (3,3,3). Evaluate ∮ CF•dr for F=<0,−...

A: Consider the provided question, Stokes theorem says that the line and the surface integral are equal...

Q: Solve please. Calc Question.

A: Note:- As per our guidelines, we can answer the first three sub-parts of this problem. Please resubm...

Q: Use the Divergence Theorem to calculate the surface integral / F. dS; that is, calculate the flux of...

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Q: Help me in all parts so that I will give good rating.

A: Note: As per Bartleby guidelines, for more than 3 parts asked, only 3 parts have to be solved. Pleas...

Q: Solve the following exponential equation in irrational solution exact form 4^x+2^x+1-1=0

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Q: Sum of all possible integral value of k for which the number 3 lies between the roots of the equatio...

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Q: Gina's base pay rate is $14.25 per hour, with overtime pay of time-and-a-half, and double-time for h...

A: Gina's base pay rate is $14.25 per hour,  With over time pay rate is $14.25 +$14.25*(.50)           ...

Q: Use inductive reasoning to conjecture the rule that relates the number you selected to the final ans...

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Q: can you answer this using variation of parameters  y'''+3y''+3y'+y=30x^2e^x

A: Given differential equation is y'''+3y''+3y'+y=30x2ex                    (1) Now auxiliary equation ...

Q: Determine wheter the following series is convergent or divergent. If the series is convergent find i...

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Q: solve

A: 1. (i) t= log(18)/log(2)= 4.1699 hour (ii) 2y''y'+2(y')^2-9y=0 (iii) 25°C  (iv) y= ln(x^3+x^2+c) whe...

Q: The answer is 40. I want to know solution process.  we use double integral and polar coordinate.

A: Consider the given triangular region D in the xy-plane. The vertices are 0,0,1,0,1,1. Now, draw the ...

Q: Does there exist a tetrahedron in R3 such that one face of the tetrahedron has outer normal (1,0,0) ...

A: The plane whose normal direction is (1,0,0) is present in the y-z plane. and the plane whose normal ...

Q: Show work

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Q: Use Stokes' Theorem to evaluate ſc F · dr. C is oriented counterclockwise as viewed from above. F(x,...

A: Given Fx,y,z=yz i +5xz j +exy k  and C is the circle x2+y2=1, z=3. By stokes theorem we have ∫CF·dr=...

Q: EN Suppose you are constructing a closed rectangular container with a volume of 30 ft2. The containe...

A: Volume of the rectangular container=30 ft3 Let l be length, b be breadth and 2l be height of contain...

Q: Find a vector-valued function whose graph is the indicated surface.

A: r(u, v) = 3 sin(u) cos(v) i^ + 7 sin(u) sin(v) j^ + cos(u) k^

Q: The water from an outdoor fountain follows a path that is shaped like a parabola. The arch created b...

A: Let the fountain be represented by an inverted parabola with its focus at the point (0, 27) (since h...

Q: Use the definition of a Taylor/Maclaurin series to: a) Find the first four nonzero terms of the Tayl...

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any s...

Q: Problem 3: (a) Find an explicit solution to the initial value problem given by (3x + 2y?) dx + 2xy d...

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Q: Find the vertex form of each quadratic function by completing the square. I attach the picture showi...

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

Q: Find the reference angle and the exact function value. cos 480° What is the reference angle? Select ...

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Q: A drilling rig 12 miles offshore is to be connected by pipe to a refinery onshore, 20 miles straight...

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Q: 'hat are the critical points for the graph shown? 5432441 2 3 4 5 O The critical point is z=-0 5432N...

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Q: Sketch two periods of the graph of the function h (x) = 3 sec (x + 1)). Identify the stretching fact...

A: Given that the function hx=3secπ4x+1. It is known that the function of the form hx=AsecBx-C+D has th...

Q: Please answer part a) of the question in the image uploaded

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Q: Use either the multiples method or the prime factors method to find the least common multiple of 12 ...

A: We have to determine the Least common multiple of 12 and 28. Here we shall use multiples method to d...

Q: Determine on which intervals, if any, f(x) will have a real zero, given: f(x) = x³ – 10z? + x + 120 ...

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Q: Evaluate +X+Z) ds along the curve r(t) = 2ti + tj + (3 - 21)k, 0<t<1. cy +x+2) (Simplify your answer...

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Q: The table below shows the number, in thousands, of vehicles parked in the central business district ...

A: Given: The number of vehicles parked in the central business district of a certain city on a typical...

Q: In Z4{x}, find two distinct polynomials that determine the same function for Z4 to Z4.

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Q: Calculate the net price of merchandise listing for $5,700 less a trade discount rate of 35%.

A: The net price factor is computed by subtracting the trade discount rate from 100%.  Net price factor...

Q: A construction company has an expenditure rate of E ′ ( x ) = e 0.14x dollars per day on a particula...

A: (a) Given that, the function for the expenditure rate is E'x=e0.14x and the function for the income ...

Q: For a standard normal distribution, find:  P(1 &lt; z &lt; 2)=

A: For standard normal distribution Let Z~N(0,1). P(1&lt;Z&lt;2)=P(Z&lt;2)-P(Z&lt;1)

Q: Mike Marquez purchased a lawn tractor for Php 9,000. He made a down payment of Php 1,000 and finance...

A: Consider the given information. Mike Marquez purchased a lawn tractor for Php 9,000 and he made a do...

Q: Each symbol in the Braille code is represented by a rectangular arrangement of six dots, each of whi...

A: We have to find the total symbols represented in braille code with at least one of the six dots must...

Q: Prove that product notation d/n = nτ(n)/2.

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Q: solve using laplace transformation  y'''+3y''+3y'+y=30x^2e^x  Find the particular solution given tha...

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Q: Evaluate the surface integral | f(x,y,z) dS using an explicit representation of the surface. S f(x,y...

A: Consider given the function as fx,y,z=ez and the plane S, z=4-x-4y in the first octant. Now, express...

Q: Draw the multigraph G whose adjacency matrix A is AG= 0 1 2 0 1 1 1 0 2 1 0 0 0 1 0 1

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Q: During any period, a potential customer arrives at a certain facility with probability 0.5. If there...

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Q: 21.13 - 32.50 / 32.50 x 100

A: We need to find the value of the given expression:                    21.13-32.5032.50×100

Vector Arithmetic

Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magnitude means the length or the size of an object. The notation used is the arrow over the head of the vector indicating its direction.

Vector Calculus

Vector calculus is an important branch of mathematics and it relates two important branches of mathematics namely vector and calculus.