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Q: how do i solve this problem

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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: dy Va2-x2 with initial condition y(a) = 0. dx -a va2-t2 dt This can be solved by y = J %3D II

A: From the above question, we get the differential equation dydx=-a2-x2x with the initial condition y(...

Q: Advanced Math Question

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Q: Please show work by hand, step-by-step.

A: The area of the region enclosed by curves A=∫abfx-gxdx. Obtain the intersection points of y1,y3 as f...

Q: could whomever is helping me with this problem write a little bit more neatly?

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Q: Consider the functions f and g whose graphs given below. Find the following deriva- are tives.

A: NOTE: According to guideline answer of first three subpart can be given, for other please ask in a d...

Q: Find the area of the region inside one leaf of the five-leaved roser= cos 50.

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Q: How to solve this equation y'''-4y''+2y'-8y=6e^(x) - x^(2) + 1 using Methods of Undetermined Coeffic...

A: Given: Given differential equation is y'''-4y''+2y'-8y=6ex-x2+1 We will solve this equation using me...

Q: Sketch the graph                    2x+4 if x<1 f(x)= -x+7 if 1<x<4          1/2x-2 if x&gt...

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Q: Find the area of the region bounded by: r 6 cos(100) 0 <0< 27

A: Formula used for area in a polar coordinate is given below: A=∫abr22dθ Calculation: Here given that ...

Q: that calculates and returns the following sum: (1 × 2 – 3 x 4) + (5 × 6 – 7 x 8) + .. (997 x 998 – 9...

A: First we need to write given series in summation form:

Q: Prove that if n = p1a1...prar, where the pi are prime, then σ(n)ϕ(n) =n2(1-p1-a,-1)...(1-pr-a,-1).

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Q: Explain how to set up a surface integral given that you will project the surface onto the xz-plane.

A: Let the provided surface is S and the function is f whose integral over surface S is to be find. Con...

Q: second derivative test to identify any critical points of the function f (xy) = -x + 4-x-y- 2-y² +1,...

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Q: Prove that πd/n n = nτ(n)/2.

A: your question has a silly mistake, it should be πd|n d = nτ(n)/2. supposeτ(n)=r , where r be the num...

Q: How to solve this?

A: Here, we need to verify the Divergence theorem for F⇀=y, yz, z2 and the cylinder shown below.       ...

Q: Determine the relative position of the lines p and q (picture). If they are divergent, find their in...

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Q: -1/7 -4 /7 4/7 -5/7 U2 = and 4/7 2/7 2/7 4/7 -4 /7 2/7 03 = Find a vector vá in R* such 2/7 -5/7 tha...

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Q: Problem 4: Show that any solution to an initial value problem y = sin(y), y(xo) = Yo, is defined on ...

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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: Advanced Math Question

A: Find the area of the region that lies above the x-axis below the curvex=e-t and y=t2+4t+7 with 0≤t≤1...

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: Solve the following question using recurrence relation and generating functions

A: Solution for i: Given an+1-an=n2, n≥0, a0=1 Let the generating function is G(x)=∑n≥0anxn We can writ...

Q: Let S = {1,2,3, 4}. For each of the following relations on S give its transitive closure. a) {(1,1),...

A: Concept: In mathematics, the transitive closure of a binary relation R on set X is the smallest rela...

Q: · The roof of the building shown below has a span of 48 eet. The rafters upon which the roof is laid...

A: Given: Span=48 feet Rafter length=30 feet Over hang =4 feet  

Q: Integrate f(x.y.z)3Dx+Vy -z ove C r(t)=ti+tj, 0sts4 C2. r(t) = 4i+ 16j + tk, 0sts4. |(x+ ỹ - z) ds =...

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

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Q: 4 -16 -6 Let A =| 0 4 Find 0 5 -20 -7 basis for the kernal and image of the linear transformation T ...

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Q: Suppose an accountant prepares tax returns for individuals and small businesses. Typically, each ind...

A: Let x be the number of individual tax returns and y be the number of business returns. Each x indivi...

Q: 1. (x² +y² +z?) ds , where Cis straight line from (1,2,3) to (4,1,4).

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Q: Calculate the directional derivative at each assigned vector of the following functions.

A: The directional derivative of fx, y in the direction of u=a, b is as follows. Dufx, y=fxx, ya+fyx, y...

Q: The graph of an exponential function, y = a(b)*, is displayed below. 45 40 35- 30 25 3,46.656 (225.9...

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Q: Recall that n is abundant if σ(n) &gt; 2n. Prove that if n = 2m –1(2m – 1) where m is a positive int...

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Q: Problem 4. Let f : X → Y and g : Y → X be functions. Suppose that gof = 1x. Prove that f is injectiv...

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Q: 2) Another way to think about this situation is as a "pursuit curve". Suppose that instead of being ...

A: Since, you have post the multiple question. I am answering the first three part. Please post the aga...

Q: II. Find the length of the strapping needed to secure the bipe in the corner of the room as shown. -...

A: Formula used: The circumference of the circle is C=πd, where d is the diameter of the circle. From F...

Q: |The projected rate of increase in enrollment at Newhampton College is estimated by dE 5000(t + 1)~3...

A: find explanation below

Q: If G = (V, E) has n > 2 vertices and no self-loops, and X = {i : 3v e V i = deg(v)}, can |X|= n? Why...

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Q: How to solve this equation y'''-4y''+2y'-8y=6e^(x) - x^(2) + 1 using Laplace Tranformation. Initial ...

A:   Consider the given initial value problem as y'''-4y''+2y'-8y=6ex-x2+1 with y0=y'0=y''0=0. Apply La...

Q: $ ydx – xdy where C is the circle of radius 3 with center at (13, 28)

A: We use Green's theorem to evaluate the given line integral

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.