Find the average value of f (x, y) = 4x cos(wy) over the rectangle R = {(x, y) | 0 < x < T, 0

Q: n hired at a new job selling jewelry, you are given two pay options: on A: Base salary of $15,000 a ...

A: Given query is to find the amount of sale so the option A will be batter 

Q: Volume of a Cube The volume V of a cube with sides of length x in. is changing with respect to time....

A: This question can be solved by applying the concept of rate of change of quantities.

Q: Question 6 Consider the function below: sin(x²+y) { (x, y) # (0,0) (x, y) = (0,0) f(æ, y) y-x Find t...

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Q: 1 d.x x/1+ x6

A: LetI=∫1x1+x6dxPut1+x6=u                         (1)squaring on both side1+x6=u2x6=u2-1              ...

Q: 3+ 4x2- -9х-36 3. у 3 4x2+28х+48

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Q: 26* - lim x → 0 sinx O In(20.00) O In(4.33) O In(156.00)

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Q: 8. Find the limit, if it exists, or show that it does not exist: 2х-у a) lim (x,y)→(1,2) 4x²-y2 ху+у...

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: Find the average value f of the function f on the given interval. ave f(x) = /x, [0, 25] fave

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Q: Given the function f"(x) = (x – 4)²(x + 7)³ (x + 3), what conclusion can be drawn directly from the ...

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Q: Using the fomat of dy/dx below, find (A +B+C+ D). dy 40t? + At +B dx -Ct? + Dt + 3 ||

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Q: B. Odr + (2r +1- Or) d0 = 0

A: θdr+(2r+1-θr)dθ=0drdθ=θr-2r-1θdrdθ=r-2rθ-1θdrdθ=r(1-2θ)-1θdrdθ-r(1-2θ)=-1θdrdθ+(2θ-1)r=-1θ It is a l...

Q: If x= (5,-1,2), y=(1,-1,1) then x × y is

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Q: 7 lim 『ストフ-2 X + 3 メy-3-

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Q: Evaluate ! d(cos x – x)

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Q: x² – 19x + 34 - lim %3D x → 2 x – 2 - (Use calculator and write your final answer in the given box)

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Q: sin( - B) = V2 (cosB - sinB) 2 (sinB- cosB) O 2 (cosB + sinB)

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Q: sin° x Vcos x

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Q: 2. Verify that the infinite series converges 00 п a) E (:)" 6 n=0 00 n b) Σ-0. 6" n=0

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Q: sin(Tx lim x + 12 In(x – 11) - (Use calculator and write your final answer in the given box)

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Q: I'y" The expression log| z18 can be written in the form A log(x) + Blog(y) + C log(z) where A = B = ...

A: We can find the answer i.e the value of  A, B &amp; c  as below.

Q: Transform the polar equation ?r = 5 cos(0) to an equation in a and y.

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Q: Let H(x)=F(G(x)) and J(x)=F(x)/G(x) Suppose F(2)=8, F′(2)=−6  G(2)=10, G′(2)=−4 G(1)=2, G′(1)=6  H′...

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Q: 0 0 [1 0 1 0 0 1 01 а. Lo 1] [1 0 1 01 0 1 1 Lo b. 0 0 11 [1 0 0 01 0 1 1 C. 0 0 0 0 0 Lo

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Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A: Given

Q: y - 3y + 2y = 3e + 2e2 %3D

A: Given: -The ordinary differential equation is, y''-3y'+2y=3ex+2e2x To find: -The solution of the giv...

Q: You're studying anacondas in tropical South America, and you've decided that a particular environmen...

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Q: 7) Find dy/dx. Given: (2x + y)' - %3D 8.) Find dy Given: xy =1 xp %3D

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Q: What is the derivative of 2(x)ln(x)+x

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Q: Integration by parts. cos?x sin4x

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Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. an = 51/n (Use s...

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Q: Use substitution to evaluate the integral tan? x sec? x dx

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Q: Consider the given function and the given interval. f(x) = (x - 7)2, [6, 9] (a) Find the average val...

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Q: 1. (2x³y² + 4x?y + 2xy² + xy+ + 2y)dx + 2(y³ + x?y + x)dy = 0 %3D

A: note : as per our company guidelines we are supposed to answer only one question. Kindly post other ...

Q: Prove the following identities. cos( - ) sin x/2

A: NOTE: Refresh your page if you can't see any equations. .

Q: Vx dx 1+ Vx

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Q: Given the functions below, find B. (P +Q+R+M+ N) u= 4- Vw +1 du Pw + Qw +3+R/w? +1 u" or dw 9u" (w +...

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

Q: The distance from the center of a hyperbola to its vertex is larger than the distance from its cente...

A: Given query is to find that statement is true or false.

Q: 1. Evaluate the following limits. r+ Vr - 3x a. lim r--0 r - Vr4 + 3x

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Q: 22+4x-5 Find the derivative: y = (3a2+1)4

A: Given Find derivative of y=x2+4x-53x2+14

Q: 3. Evaluate: e-x²+2x dx (Hint: let t = (x – 1)²) %3D

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Q: 3. Evaluate: e-x²+2x dx (Hint: let t = (x – 1)²) %3|

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Q: Please integrate  ∫ ex / (9+e2x)3/2 dx

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Q: 1. Verify that the infinite series diverges п a) E (2) 6 n=0 п b) E п+1 n=1

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Q: cos 2x + 2 sin 2 x = _______

A: This question can be solved by applying the formula of cos2x cos2x=cos2x-sin2x

Q: 2) For each of the following Sequences select whether they converge or 4) (4+lnCo) a), Iconveryes to...

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Q: SvX (n x dx

A: Let I=∫xlnx2dxApply integration by part.I=lnx2∫xdx-∫∫xdxddx(ln(x))2dx I=lnx2x12+112+1-∫x12+112+12ln(...

Q: Find the inverse of the given matrix and verify if [A][A]-1 = [A]=1[A] = [1]: [25 5 [A] = |10 4 8 16...

A: Here, the given matrix is: A=25541051681222 First of all, find the inverse of the matrix.

Q: Find the value of the limit x² + y? lim (x,y)→(0,0) 2x + y (You can consider using the polar substit...

A: Limit  =  0 When both variable are in sum and squared form then trigonometry subsitution results in ...

Q: Find the Maclaurin polynomials of orders n = 0,1,2,3, and 4, and then find the nth Maclaurin polynom...

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