Find the limit of the following sequence or determine that the limit does not exist. {n sin()}

Q: Consider the parallelepiped with adjacent edges Find the volume. u = 2i + 7j + k v=i+j+7k w = i +4j…

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Q: In 2020, the hourly minimum wage for a City of Madison worker was $11.15. Suppose the hourly minimum…

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Q: A 1-kilogram mass attached to a spring whose constant is 18 N/m, and the entire system is then…

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Q: Find the equation of the tangent line to the graph of the function f(x) = (z² + 6) (z − 2) at the…

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Q: Consider the following. u = -7i - 4j - 2k, v = 4j + 4k (a) Find the projection of u onto v. -12 2k X…

A: Given :u=-7i-4j-2kv=4j+4k

Q: Question 1 ť 2,0 5 -12 Use the graph of f(x), shown here, to determine the limits, when they exist.…

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Q: Find a set of parametric equations for the line passing through the point (2, 0, 4) that is parallel…

A: To find a set of parametric equations for the line passing through the point 2, 0, 4 that is…

Q: Problem 1 Prove that lim |_ 5 = 3,

A: To prove that limx→2x-5=3

Q: Determine whether the given set of functions is linearly dependent or linearly independent on the…

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Q: Find k, given f(x, y) = k(y² + xy) and [ [ f(x, y) dxdy = 54 R R=0 < x < y < 2

A: Given problem:- Find k, given f(x, y) = k(y² + xy)  And ∫∫R f(x, y) dx dy=54 where R…

Q: Find the degree of the polynomial y = 3x² + 4x5 - 5+x8

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Q: ¹(7x) = 5 for the four smallest positive solutions 4 Solve 6 sin x = 1.25,2.75,71.87,458.37 Give…

A: Given, 6 sinπ4x=5

Q: Assume the same spring-mass-damper system above (without the impulse forcing function) has the…

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Q: 리 +81²+16= 0

A: Given equation is λ4 + 8λ2 + 16 =0  , we have to solve it .

Q: We have verified that x² and x5 are linearly independent solutions of the following second-order,…

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Q: Differentiate. f(x) = (x 2 - 2x + 4)ex O ex(x² + 2) O ex(x² + 4x + 2) 3 +x+4 O ex(2x - 2)

A: Given the function fx=x2-2x+4ex

Q: Find the length of the curve. 1 10x3' y 6 + 1 ≤ x ≤4

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Q: e Determine the equation of the tangent line to y=x2(√x+x la a C C C C C C C

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Q: Find the general solution of the given higher-order differential equation. y"" - 3y" - 4y = 0 y(x) =

A: Given :y'''-3y''-4y'=0

Q: Find the determinant. W(x5, x²) = fot 2x = (x²)(5x4)-(2x)(x5) The Wronskian ---Select--- equal to 0…

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Q: Determine whether the given set of functions is linearly independent on the interval (-0⁰, 00).…

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Q: Find the inverse LaPlace transform F(s) = 5s +3 (s-1) (s²+2s+5)

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Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

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Q: 3 y = (²x2 ²³-6)9 Find day doc2

A: Solve the given differentiation

Q: Problem 1.5 Use the following graph of y = f(x) to graph each function g. (a) g(x) = f(x) – 1 (b)…

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Q: teeeee Find the vector v with the given magnitude and the same direction as u. V Magnitude ||v|| =…

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Q: Solve the following CDES by variation of parameters method y" + 5y' + 4y = x² e ²x Ans:

A: Given :y''+5y'+4y=x2e2x

Q: A paper company needs to raise money for expansion. The CEO of the company issues a 10-year $1,000…

A: Given Face value of fond, F=$1000 Coupon priceC=$30 Interest rater=7% per anum Time period = 10…

Q: Consider the parallelepiped with adjacent edges u = 5i + 2j + k v=i+j+ 7k w = i + 9j + 5k Find the…

A: Given, u=5i+2j+k,v=i+j+7k,w=i+9j+5k.

Q: Consider the points A(3, -3, 2), B(6, -5,0), C(-1, -4,0), and D(6,3,-4). (a) Find the volume of the…

A: Here we have  to use the concept of vector

Q: Is the inverse equation a function

A: The inverse equation or an anti equation is also a function.   A function is invertible if and only…

Q: This extreme value problem has a solution with both a maximum value and a minimum value. Use…

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Q: (iii) Given that |f(x, y) = e* sin(y) + x²y² = y + 10 a² f əxəy af ax Determine dx and Type your…

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Q: A tank contains 100 kg of salt and 1000 L of water. A solution of a concentration 0.05 kg of salt…

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Q: A ball is thrown into the air and it's position is given h(t)=-4.9t + 60t + 5cm. Find the hight at…

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Q: Use cylindrical coordinates to evaluate the triple integral □ لاا √² + y²dV, where E is the solid…

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Q: Given f(x) below, find f'(x). f(x) = z" t' dt √z

A: See this solution in below

Q: Find an equation of the tangent plane to the given surface at the specified point. z = y In(x), (1,…

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

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Q: Consider the following parametric equations. a. Eliminate the parameter to obtain an equation in x…

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Q: The area bounded by the curve of the given equation where the x has an exponent of two equals to…

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Q: Find the angle between the vectors in radians and in degrees. (Round your answer for part (a) to…

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Q: The velocity V (in centimeters per second) of blood in an artery at a distance x cm from the center…

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Q: Find the gradient of the function at the given point. g(x, y) = 6xe/x, (17, 0) Vg(17,0) =

A: Given problem:- find the gradient of the function at point (17,0) of g(x,y)=6xey/x

Q: Find the area of the region bounded by the graph of f and the​ x-axis on the given interval.…

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Q: Evaluate the double integral Answer: z²y dA, where D is the top half of the disc with center the…

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Q: 3 y = (x² +1) ² Find day dx ²

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Q: Find the general solution of the given second-order differential equation. y" - 6y' + 10y = 0 y(x) =

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Q: a. Find the first four nonzero terms of the Maclaurin series for the given function. b. Write the…

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