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Q: compute ∫_D 2ydx+3xdy, where D is described by 0≤x≤1, 0≤y≤1

A: Green's Theorem: Let C be a positive oriented, smooth, simple closed curve. Let D be the region boun...

Q: Let f(t) = 3t2 – 10t. %3D a) Find f(t+ h): b) Find f(t +h) – f(t): c) Find ft+h)-f(t) . h d) Find f'...

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Q: Find all the complex roots. Write roots in rectangular form. If necessary, round to the nearest tent...

A: To find the complex fourth roots of 81cos4π3+isin4π3. Solution: We know that if z=rcosθ+isinθ is a c...

Q: Let u = 2i - j, v = 3i + j, and w = i + 4j.Find specified scalar v . (u + w).

A: Given vectors are u=2i-j,v=3i+j,w=i+4j.

Q: Let u = 2i - 5j, v = -3i + 7j, and w = -i - 6j.Find specified vector or scalar -4w.

A: It is given that  u = 2i - 5j, v = -3i + 7j, and w = -i - 6j

Q: 10 Calculate 100 x dx. 50 a. 50 T b. 25 T Oc. None of the other choices are correct. d.

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Q: Find the point P on the graph of the function y = Vx closest to the point (16,0). O a. (0,0) а. Ob. ...

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Q: (-4)" Consider the series n=1 Attempt the Ratio Test to determine whether the series converges. An+1...

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Q: 2n Зп - 1 Consider the series --Evaluate the the following limit. If it is infinite, type "infinity"...

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Q: Find the unit vector that has the same direction as the vector v = 8i - 6j.

A: Given that : The vector is V = 8 i - 6 j .

Q: Find projwv. Then decompose v into two vectors, v1 and v2, where v1 is parallel to w and v2 is ortho...

A: If v and w are two non zero vectors, the vector projection of v onto w is  projwv=v.ww2w Substitute ...

Q: Plot the complex number -4i. Then write the complex number in polar form. You may express the argume...

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Q: Round answers to the nearest pound.a. Find the magnitude of the force required to keep a 3500-pound ...

A: we have been given that hill inclined at 5.5°from the horizontal. we have to find the magnitude of t...

Q: The population of a suburb is growing at a rate given by dP/dt=90-6t2/3 people per year. Find a func...

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Q: 3- At a price of $12.59 per box of grapefruit, the supply is 595,000 boxes and the demand is 650,000...

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Q: Calculus Question

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Q: 2- Cholera, an intestinal disease, is caused by a cholera bacterium that multiplies exponentially. T...

A: Put respective values of "t" where number of bacteria are being asked in the given equation.

Q: 6: Find the following derivatives. If you are using a derivative rule, state the rule or write the c...

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

Q: Explain how to use DeMoivre’s Theorem for finding complex roots to find the two square roots of 9.

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Q: 6- I want solution of this question by typing not by hand. Thanks

A: Given,          cosx+ycosx-y=cos2x-sin2y

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: Determine the absolute value of each of the following complex numbers: a. z = 3 + 4i   b. z = -1 - 2...

A: To find the absolute value of the given complex numbers. a. Given complex number is z=3+4i Absolute ...

Q: Calculus Question

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Q: Find (url and dive rgence the of F(xy2)=Xy2 i+ 2x Y j t z(os xyk.

A: Given: F(x, y, z) = xyz i + 2xy j + 2cosxy k To find: Curl and divergence of the given function.

Q: A quantity that has both magnitude and direction is called a/an_________ .

A: A quantity that has both magnitude and direction is called  vectors.  Geometrically, we can represen...

Q: Pollution begins to enter a lake at time t = 0 at a rate​ ( in gallons per​ hour ) given by the form...

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Q: Use the dot product to determine whether v = 5i and w = -6i are orthogonal.

A: The given vector is v=5i  and  w=6i known fact: Two vectors a and b are orthogonal (perpendicular) i...

Q: (v) Suppose P(q) is a function that gives the profit of a bookstore depending on how many books prod...

A: Given P(q) = Profit function of after selling q books P'4000 = -20 P4000 = 46000   

Q: Convert to polar form and then perform the indicated operations. Express answers in polar and rectan...

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Q: Where does the derivative of g(x)=(x^2)/((x^2)+3) = 0 or is undefined?

A: Given function, gx=x2x2+3

Q: Let u = 2i - 5j, v = -3i + 7j, and w = -i - 6j.Find specified vector or scalar w - v.

A: Given vectors are u=2i-5j, v=-3i+7j & w=-i-6j To find: w-v Solution: w-v=-i-6j--3i+7j=-i-6j+3i-7...

Q: Plot the complex number -3. Then write the complex number in polar form. You may express the argumen...

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Q: Find the indefinite integral. (Use C for the constant of integration.)   e5x − e2x + 1 ex

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Q: Find the inverse of the function on the given domain. f(x)=(x−10)2 , [10,∞)

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Q: Determine the Values fx for which the funchion floo= $2x? -4 7x+2 x <2 26X<5 is dis continuous 7

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Q: Evaluate the infinite series

A: Given: S=32-2051+33-2152+...........+3k+1-2k-15k+......... for evaluating given summation first we s...

Q: A vector whose initial point is at the origin is called a/an________ vector.

A: Consider the given: A vector whose initial point is at the origin is called a/an________ vector. A p...

Q: Find all the cube roots of 27. Write roots in rectangular form.

A: Given number is 27.

Q: .5 Calculate J (|x| – 1) dx. -5 O a. 17 O b. -10 None of the other choices are corre Oc. O d. 10

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