a. use sum and difference identities to expand and simplify the following b. if g(x) = cos(2x) find x if f(x) =g(x)

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Q: IL Solve the linear differenhal equations 1.( D2+ GD+ 13)y 2. (D5-2D3_ 2D²-3D-2)y-o 3. d3y d+ +by 8 ...

A: Using method of linear differential equation.

Q: Find 19. t sin 3t dt Jo

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A: Given the logarithmic function is f(x)=log2-4x+1+8

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A: Q=20 m3sg=9.81 ms2A=3y + y22B=3+yy= critical depthfy=1-Q2gA3BAim: We need to find theapproximate val...

Q: -2

A: To find the given limits from the given graphs.

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Q: Evaluate the following. Show solution using the basic formulas. 1. S(3x² – 8x + 7)dx

A: Let I=∫ 3x2-8x+7dxApply the Sum Rule:  ∫fx±gxdx=∫fxdx±∫gxdxI=∫ 3x2dx-∫ 8xdx+∫ 7dxTake the constant o...

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Q: Given the polynomial P(z) = -9z - 9z² – 5z – 20 and divisor d(z) = -3z + 2, find the quotient Q(z) a...

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Q: Using Laplace transform, find the solution of the initial value problem. 2y + y = 0, y (0) = –3 4.

A: Taking laplace on both side, and using y(0) =-3  

Q: 10. sin x cos x dx

A: Given:- ∫ sin3(x) cos5(x) dx

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Q: ev dx 1 Vx

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Q: Find the derivative. (Hint: take the natural log of both sides.) y = x3x

A: We will take log on both side to get the answer.

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Q: Evaluate the following triple integral: 3 x x 6z dzdydx

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Q: Create a formula for the sequence Show how you get the -2,0,3,8,15 using the formula Find the series...

A: Difference between nth and (n-1) th term is nth prime number. 

Q: 2 + dx

A: Given :∫5x-3x2+2x4dx

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A: Given that: f(x)=xx+5 and g(x)=3x-5

Q: Find the instantaneous rate of change for the function at the given value. f(x) =x + 4x at x= - 4 Th...

A: NOTE: Refresh your page if you can't see any equations. . to find the instantaneous rate of change,...

Q: 44. г(t) 3 (2t%)/2, t3), for 0 < t<2 %3D

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Q: 4. If one card is drawn at random from a standard deck of 52 playing cards, what is the probability ...

A: Given that: One card is drawn from a standard deck of 52 cards.

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Q: Question 12 Find the moment of inertia of the region between the parabola y = 9 - x2 and the line y ...

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Q: 12. Find a polar equation for the hyperbola with focus at the origin, directrix x = -2, and eccentri...

A: Polar equation of hyperbola is      r=ed/(1+esinthetha) 

Q: Question Evaluate the following integral using a trigonometric substitution. • 14 1 dx 36x2 – 1296 B...

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Q: stion 30 Complete the integration: Ssin (x)cos°(x)dx x sin (2x) sin³(2x) 16 32 Determine the value o...

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Q: . Find the domain of the inverse of the function f(x) = −3√4− x  + 5.

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Q: Direction: Find the derivative of the function. y = 2e* +e* Select one: O y' = 3 – 2e* O y' = 3e + 2...

A: We know that; The chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 Given: y=2e-x+e3x

Q: 16 3. Find an equation in Cartesian coordinates for the conic from with equation r = Identify the ty...

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Q: Use the properties of limits to help decide whether each limit exists. If a limit exists, find its v...

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Q: 1 Evaluate dV, where E lies between the spheres x2 + y2 + z2 = 9 and x2 + y? + z2 x2 + y? + z2 36 in...

A: we want to find the triple integral ∫∫∫E1x2+y2+z2  dVwhere E lies between the sphere x2+y2+z2=9  and...

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Q: a) Determine n-th partial sum Sn b) Show whether the series is convergent c) If the series is conver...

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Q: 1-3 please!

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Q: write the following integral using the opposite order of integration. Do not evaluate the egral. 4 x...

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Q: a) Find the inverse of the function. b) Sketch the graph of f(x) and f-1(x) on the same Cartesian pl...

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Q: В. Find all vertical and horizontal asymptotes. 2x2 +2x+1 15. f (x) = 5x3+3x-5

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