Evaluate: J x?cos(2x)dx

Q: solve question (g) with explanation asap and get multiple upvotes

A: g) To find out the value of x that will minimize z. 

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A: limx→∞-4x12+2xApply L-Hospital Rulelimx→∞-42=-2limx→∞-4x12+2x=-2

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A: Finding the derivative of the function using chain rule of differentiation

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A: The given matrix,A=3001114-13

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Q: Let f(z) - +5:z+2 and g(z) – 2- +7-z Write down an expression to calculate the area between these tw...

A: Upon plotting the curves we get

Q: Væ = 7, – 7

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Q: 15-17 Find the local maximum and minimum values of f using both the First and Second Derivative Test...

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Q: Ser sed d tanr dy

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Q: S 2tanzx

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Q: Graph the piecewise-defined function. x-3 if xs5 f(x) = 2 if x>5 .... Choose the correct graph. OD. ...

A: This question can be solved using the concept of drawing the graph of linear equations.

Q: Given: v = 2i – 4j + V5 k, u = -2i + 4j – V5 k 2. v=i+k, u = 5i + 12j 1. 4 Find: a. u· v, |v|, J| b....

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Q: Consider the function f(x) 2x + 3x? 36x 54. - a. Find the first derivative. f'(x) b. List any critic...

A: Given the function f(x) = 2x3 + 3x2 - 36x - 54

Q: H.W: Find y, y"and. y" for the fullowing -2X -xe 3- y=a Sin 3X 一ズ 2.y=eInx 4.y= In(Sex. = In (Sex +t...

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Q: Use the Limit Comparison Test to determine whether the series converges. +6 Σ 3 k 1 Vk +4

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A: By using chain rule to find the derivative of the given function.fx=25x10-2x812    

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Q: ()- In(x) C. lim %3D

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Q: Find the volume of the solid generated by revolving the region bounded by the parabola y = - and the...

A:   Volume can be calculated as:V=2∫03 A(x) dxV=2∫0 3πR(x)2dxV=2∫03π-x292dxV=2π81 ∫03x4 dxV=2π81 x5503...

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A: We have to find the value of the given limits according to the given graph of function

Q: A. Solve for the Derivatives of the following functions. Final answers should be in simplified form ...

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Q: Given: 1. v = 2i – 4j + V5 k, u = –2i + 4j – V5 k 2. v =i+k, u = 5i + 12j - 3 Find: a. u·v, [v|, Ju|...

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Q: In a race, Paul starts running from rest at a constant acceleration of 3.5 m/s2. He is running in a ...

A: i) after 2.5 second distance = ? distance = v0t + at2/2 distance = 0 + (3.5)(2.5)2/2 distance = 10.9...

Q: Find the area of the triangle with vertices P(1, 2, -4), Q(0,0,0) and R(2, 4, 1). NOTE: Enter the ex...

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Q: 00 Several terms of a sequence (an}n = 1 are given below. {1, 8, 64, 512, 4096, ...} a. Find the nex...

A: a) Given Sequence 1,8,64,512,4096 a6 = a5 x 8= 32768 a7 = a6 x 8= 262144      

Q: би Compute Rw for R(u, v, w) = u + w (Give an exact answer. Use symbolic notation and fractions wher...

A: Here, the given function is: R(u,v,w)=6uv+w

Q: 5- Verify the domains and associated ranges of the following functions: a) f(x) = Vx – 3 b) f(x) = v...

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Q: 5. 4e2xdx

A: Given:       ∫4e2xdx Taking constant out.     =4∫e2xdx substitute u=2x→dudx=2→dx=12du       =4∫12·eu...

Q: dV E = dx d(a+bx) E = - dx E = -(b)

A: Consider  V=a+bxE=-dVdx

Q: Solve the quadratic equation

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Q: f (x*) and G(x) = (F(x))* . Let F(¤) You also know that a' = 5, f(a) = 3, ƒ'(a) = 9, f'(a*) 13 Then ...

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Q: Find the general solution of the equation: y" - y' - 6y = exp(-x) - 7 cos x

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