D?/if w= Cos (X+y)+Sin (X-y) Show that

Q: Find the specific nth term in the expansion of the binomial. (x+y)^15, n = 4

A: topic- binomial series

Q: Consider the following. u = 3i + 2j, v = 6i + 9j (a) Find the projection of u onto v. (b) Find the v...

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Q: 32. At what value/s of x is the function (2 — Зх f(x) = } -|x| (x² – 6 А. 1 В. 3 С. 1 and 3 D. The f...

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Q: 4. Find the general solution of the differential equation using the method of undetermined coefficie...

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Q: Determine any planes that are parallel or identical. (Select all that apply.) O P1: -120x + 60y + 90...

A: We need to find planes that are parallel.

Q: Find the gradient of the function at the given point. g(x, y) = 18xe/x, (3, 0) Vg(3, 0) =

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Q: Obtain the general solution of the following differential equations.

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Q: 2. Find a particular solution to each of these ODES by using the method of variation of parameters: ...

A: Note: as per our guidelines we have to solve 1st question. So please repost other questiin . sorry f...

Q: cotx dx In|csc x| cSC

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Q: u = 5i + 4j + k v = i+j+4k w = i+ 8j + 9k

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Q: Lincarize : -3x 3x² arourd = !

A: I am attaching image so that you understand each and every step.

Q: = xe 10) Determine the absolute maximum and minimum for f(x) on the interval [0, 3].

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Q: Find the sum of the following convergent series. (a) tan-(n) – tan-'(n + 1) n=1 (b) 2" + 3" 4" n=1

A: We have to find sum of convergent series. 

Q: Solve for the derivative of the function using chain rule. 4. f(x)= (x3+4)5/ 3x4-2

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Q: Determine if the series is convergent or divergent. Show your work, and clearly state the test used ...

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Q: 2. Find the general solution of the differential equation: dy ip 5 + 6y = e ,3x - dx? d.x

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Q: 10. Homogeneous Equations: Solve the differential equation: xdy – ydx – x? –- y²dx = 0 O arccos() = ...

A: dydx=y+x2-y2xdydx=yx+1-(yx)2y=vxdydx=v+xdvdxv+xdvdx=v+1-v2x dvdx=1-v2  ...(1)

Q: 2. For the following complex numbers; peform the indicated operations. Expressresultsin rectangular ...

A: Given:  za=-2-5izb=2.15e4.18izc=1.75cos165°+isin165°zd=0.745∠-36°ze=1+3izf=0.953cos324°+isin324°zg=2...

Q: Test the series for convergence or divergence

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Q: Find the volume of the solid by subtracting two volumes, the solid enclosed by the parabolic cylinde...

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Q: Determine the homogeneity of the following functions x+y/x-y

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Q: Use the remainder theorem to find P(-2) for P(x) Specifically, give the quotient and the remainder f...

A: To use the remainder theorem to find the quotient and remainder of the polynomial P(x)=2x3+2x2-x-3 i...

Q: A data set has n items. The sum of the items is 800 and the mean is 20. (a) Find n. The standard dev...

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: For solving all above parts we have to use concept of unit vector.

Q: Solve for the derivative of the function using chain rule. 11. f(x)= ln(sin(8x))

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Q: How can rearranging the order of terms in an infinite series be different for an absolutely converge...

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Q: Find the value of c if (1 + c)-n = 3 n = 2

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Q: Consider the points A(2, –3, 4), B(4, –5, 1), C'(-2, –4, 1), and D(4, 2, –6). (a) Find the volume of...

A: Let a,b,c,d are position vector of point A,B,C and D respectively. Therefore, a=2i-3j+4kb=4i-5j+kc=-...

Q: Linear coefficients in 2 variables: Solve the equation: x – y + 1) dx – (x + 4y + 1) dy = 0 O In[(x ...

A: Solution of the problem as follows

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

A: I am attaching image so that you understand each and every step.

Q: 2. * x dx V4-x4 stn-1 폭+C x2 C sin-1 + C 2 1 x2 D sin 1 x sin-1+ C sin-1 + C - - 2 O A E None of the...

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Q: (x2 - 4x + 4)4/3 dx -

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Q: 2. For the following complex numbers; perform the indicated operations. Expressresults in rectangula...

A: Given: za=-2-5izb=2.15e4.18izc=1.75cos165°+isin165°zd=0.745∠-36°ze=1+3izf=0.953cos324°+isin324°zg=2....

Q: 2. Find the area between the curve x= - y +y + 2 and the y- axis.

A: 2) To find the area between the curve x=-y2+y+2 and the y-axis. The region bounded by the curve and ...

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

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Q: y = a sin (x + b) u sin (x + b) -a sin (x + b) O a cos (x + b) O -a cos (x + b)

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Q: (b) Oppositely directed to 9i – 6j + 3k. - (c) Same direction as the vector from the point A(-2,0, 2...

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Q: Determine where A(t)=t^2e^5-t is increasing and decreasing.

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Q: 35 and A is in quadrant 4. 12 Find tan(2A), if tan(A)

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Q: Define f(x, y) = 9a? + y². (1) Sketch the level curve of this function for z=36. Draw it on an xy-pl...

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Q: Find the vector component of v = (4, – 1, 7) along b = (3, 6, –6) and the vector component of V orth...

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Q: 12. Exact equations: Solve: 3xy²dx + (3x²y + 4y²) dy = 0 O ry + y* = c O r?y² + y* = c

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Q: Find the coefficient a of the term in the expansion of the binomial. Binomial Term (6x-y)^12 ax^4y^8

A: The given binomial 6x-y12

Q: 2. Applying the properties of an inverse of a one-to-one function, show that the following pairs are...

A: Solve

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two po...

A: here point are (x,y,z) =(5,-3,-2)                        (a,b,c) = (-2/3 , 2/3 , 1) parametric equat...

Q: Vhen we speak of velocity, we usually mean instantaneous velocity, which indicates the speed and ire...

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Q: 4. dx J x Inx VInx2 -1 A C - sec-1 (In xx) + C sec-1 - In x sec-1 (In x) + C + C In x. sec-1 O A В E...

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Q: Find the directional derivative of the function at P in the direction of v. V2 f(x, y) = x³ – y³, P(...

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Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x - 4 y + 7 = z +...

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A: Here, given that u=9, v=2, θu=0°, θv=60°