Use this table to find the foloowing x 0,1,2,3,4,5,6,7,8,9, f 7,6,5,8,4,0,2,1,9,3 g 9,5,6,2,1,8,7,3,4,0, a.) g(g(2)) b.) g(f(5))

Q: Find the general solution of xy²dx = e

A: By using variable and separation method  

Q: y = cos( + sin(x))

A: Please refer the attached image for complete solution.

Q: Evaluate 9 + y² dy dx by first interchanging the order of integration. Sketch the region of integrat...

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Q: Find f'cx) a) fcx) 1. %3D +3 b) fcx)- (I+\5x)* 4

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Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral wi...

A: Given the integral :

Q: 6- 5 4 3 -6 -5 -4 2 -2 -3 -4 -5 -6- The graph above is a transformation of the function x?. Write an...

A: The value of g(x) is (x+2)² + 2

Q: dy Solve the differential equation 3y² 6. dr

A:

Q: A curve is defined by the parametric equations cos z dz, sin z dz, t > 1. X= y= Find the length of t...

A: Use the formula for the length of curve in parametric form. 

Q: x² + ax, if x a e real-valued constant. Evaluate f(a). Explain why f is continuous at x = a. f(a + ...

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Q: (b) Write the following function in the form of y = f(u) and u = g(x), then find as a function of x ...

A: Please refer the attached image for complete solution.

Q: The price p (in dollars) and the demand x for a particular clock radio are related by the equation x...

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Q: (a) Let f(t) = eat cos bt. Find L{f(t)}. (b) Find CL f'(+)} uısing an appropriate formula without co...

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Q: 2. (a) Evaluate the limit or show that it does not exist: x³ + y lim (z.9)¬(0,0) V2 + 12 In(x² + y°)

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Q: Let the matrix representation of the Hamiltonian of three-state system be Eo A H = E1 A Eo using the...

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Q: Which of the following general solutions is in implicit form? C(I u) I+2 Oy= a (x + C) Oy = Ca?

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Q: y is taking a day-trip to a famous landmark located 150 miles from their home. The trip to the landm...

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by th...

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Q: Use the Laws of Logarithms to combine the expression. - log(7) - log(5) 2

A: Solution of above logarithmic expression is written below.

Q: At what point/s is tangent line to the curve given by ?(?) = ?4 − 8?2+ 3 horizontal?

A: The given equation of the curve is: f(x)=x4-8x2+3 Now find the derivative of the function to get the...

Q: For the following Differential Equations, determine the General Solution / Particular Solutions. WRI...

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Q: Using derivative as a slope find line that are tangent and normal to the following curve at the give...

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Q: dx. 18 16-x Answer questions 1-3 using the given

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Q: A plane left 30 minutes later than the schedule time and in order to each its destination 1500 km aw...

A: Given that: The plane is 30 min late.Destination is 1500 km away.Speed increased by 250 km/h

Q: 4 2- -6 -5 -4 -2 3 4 6 -2 -4 -6 The graph above is a transformation of the function x?. Write an for...

A: Given that the graph..  So first draw he graph of X^2. Then  shift one unit downward and the  2 unit...

Q: A plane left 30 minutes later than the schedule time and in order to each its destination 1500 km aw...

A: Let x be the usual speed. Then from the distance, speed, and time formula: T=DS⇒T=1500x...(1) here D...

Q: Question 34 Find o for ɛ = 0.01 for the following limit. lim VI +6 = 3.1622776601684 Input delta as ...

A: We have to find delta.

Q: (b) Find the Taylor's series generated by the following function at x = a = 2 f(x) = x -2x+4.

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Q: /2 Evaluate : sin x dx. X -x/2

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Q: Differentiate the function. 7x - 1 y = 3 5x° + 7 y' = D %3D

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Q: X-1 X +7x+ 10 x+5 1 x + 7x + 10 mplify your answer.)

A: Please refer to the image below

Q: For the following, use the information provided to solve the problem. (7) Let w(x, y, z) = xy cos z,...

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Q: (d) ] Find A' A (e) ] Is AB = BA? %3D Find the inverse of B

A: Given the matrices :

Q: Use a calculator to evaluate the function at the indicated values. Round your answers to three decim...

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Q: One year ago, a man was 8 times as old as his son.Now his age is equal to the square of his son's ag...

A: Suppose x be the age of his son in present time.Then, his age in present time will be x2.

Q: Definition of Arc Length Let the function given by y = fx) represent a smooth curve on the int La, b...

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Q: Find all values of x (if any) where the tangent line to the graph of f(x) = x-12x +2 are parallel to...

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: Find the absolute maximum and minimum values ​​of f (x, y) = x² + 2y²-x in the set D = {(x,y) ∈ R² :...

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Q: Find complementary function and particular integral of d²y - y = xe* + cos² x dx2

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Q: dx e

A: The solution is given below in the next step:

Q: a) Graph the function. b) Define the inverse of the function or if it does not exist explain why. c)...

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Q: A tank initially contains 20 L of water. A solution containing 1 g/L of chemical flows into the tank...

A: Let's find. 

Q: the differential equation xyy = y – 1

A: See the details solution in below

Q: Solve the differential equati on. dz Z (log x) =(log z)' + dx

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Q: Supply and demand curves for a consumer item are given by: q = S(p) = 500 + p and q = D(p) = 230O - ...

A: The solution of above question is written below.

Q: Simplify: (log7(3))(log3(8).

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Q: Q: Show that the equation z' + pz -q² = 0, p, q e Rhas no solution, with its imaginary part not equa...

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Q: Find a Cartesian equation for the curve represented by polar equation r= 14 cos - 6 sin e. OA. 2 (x ...

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Q: = six 21 - f(x): (2x – 1 si x -3 g(x) = } -2x2 si x 2 1 3x si x<1 2 y %3D

A: Piece wise defined functions are given so resultant function will also be piece wise defined .  Doma...

Q: One year ago, a man was 8 times as old as his son.Now his age is equal to the square of his son's ag...

A: Let the present age of the son be x years.

Q: Find the particular solution of y' = xey-x? given y(0) = 0.

A: