Find the inverse of the following with in-depth step by step solutions and explanation  f(x)=3−2x5

Q: Evaluate the indefinite integral. 30 V cot(x) csc2(x) dx

A: ∫cot(x)30csc2(x) dx-∫cot(x)30(-csc2(x)) dx-∫(cot(x))130(-csc2(x)) dx

Q: 7 4. Find the inverse function of f (x) = %3D 5x+1 Write your answer using proper inverse function n...

A: Follow the steps.

Q: If f(x,y,z) = z In(x²ycosz): then fz is

A: Here, the given function is: f(x,y,z)=z ln(x2ycos z) Using the properties of the natural logarithm: ...

Q: The integration expression + 4)cos(3ln(x) +4)dx must be transformed into using suitable choice of "u...

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Q: 1. Evaluate the following limits. 3x + 10 – 4 (a) lim 1+2- 12 - 4x + 4

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Q: (1+ 3x X 1

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Q: A chemical substance has a decay rate of 8.3% per day. The rate of change of an amount N of the chem...

A: The solution can be seen below.

Q: X-1 2. Complete the following tables of values to investigate lim X→-1 x+1 f(x) f(x) - 1 -1 - 0.8 - ...

A: Complete table:           For (a), In both of that tables the value of f(x) when x approaches -1 i...

Q: Find the inflection points of each of the given curve.  y = x3 – 3x2 + 4

A: ⊙a function y=f(x) is said to have inflection point at x=a, if its second derivative i.e. d2ydx2 cha...

Q: а. lim,(3r — 5) T-1 22 – 9 b. lim THe x2 – 4xr+3 where c= 0,1,2 22 – 9 C. lim 1→3 x2 – 4+3

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Q: 6. Find the unit vector for which the directional derivative Duf(x,y) of f(x,y) = %3D 3x2 + 4y2 at t...

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Q: dy Write down a differential equation of the form dt = ay + b whose all other solutions diverge from...

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Q: Consider the following graph. y 12 (13,11) 8 (1,2) (13,2) X 4 8 12 (a) Find the length of each side ...

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Q: Ceate five questions on the following topic along with the correct answers that you would expect if...

A: We write the inverse of a function and inverse of a natural numbers in addition and multiplicative.

Q: Find a particular solution to the differential equation 2y" – 3y' + ly = -lt² – 2t – 2e“. Yp =

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Q: If Sammy has 24 candy bars and Jaycob has 4 more than Sammy how many candy bars does jaycob have

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Q: Given f(x) = vx +8, find f' (-4) using the definition of a derivative. Provide your answer below: f(...

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Q: Suppose y = V 2x + 1, where x and y are functions of t. (a) If dx/dt dy dt 15, find dy/dt when x = 4...

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Q: Find an equation of the line passing through the pair of points. (4, 3), (-4, –4) Sketch the line.

A: We can find the required line as below.

Q: about 12 ounces of fruit juice requires a volume of 113 cubic inches for its packaging. How  should ...

A: Question : About 12 ounces of fruit juice requires a volume of 113 cubic inches for its packaging. H...

Q: A. Each week, Adriel buys cheese (C) and sausage (S) which provides him a utility of U= 6th root of ...

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Q: f(x+h)-f(x) The expression for h +0 is called the difference quotient. Find and simplify the differe...

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Q: Find the point(s) of intersection of the line x = 1 – t, y = t, z =1– 2t - and the paraboloid z = 8 ...

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Q: Solve the system by the substitution method.   3x−y = 21 x+8y = 7

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Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 4.9% per year. That ...

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Q: dx x2 (Use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absorb in...

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Q: - fyr. For the function f(x, y) = e²´y sin(xy) show that Clairaut's Theorem holds, that is, fæy

A: Clairut's Theorem : fxy = fyx i.e, ∂2f∂x∂y =∂2f∂y∂x.

Q: that satisfy f(x) = x³ + x – 1, [0,2]

A: Note:- Since you have asked multiple questions, we will solve the first question for you. If you wan...

Q: 11. Solve the equation logs (3x + 9) = log5(5x – 3)?

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Q: water heater that has the shape of a right cylindrical tank with a radius of 2 ft and ft is being dr...

A: Given thatRadius of right cylinder,r=2 ft, height ,h=6 ft dhdt=-1 ft/minTo find :dvdtSolution:Volume...

Q: ft3 Related Rates: Water Flows 8 into a cylinder min with radius 4 ft. how fast is the water level r...

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Q: Complete the table. Use the resulting solution points to sketch the graph of the equation. y =-2x + ...

A: NOTE: Refresh your page if you can't see any equations. . the given equation of a line is  now make...

Q: 2r da

A: Here we will find the integration, 

Q: Direction: solve and analyze each of the following problem in neat and orderly manner. Do this in yo...

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Q: 2x 26. Evaluate / sec (= tan 5 dx and determine its particular antiderivative whose y-intercept is 2...

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Q: 3. Determine whether the sequence converges or diverges. If it converges, find the limit.

A: a sequence {Xn} is convergent if lim Xn tends to a finite value when n approach to infinity 

Q: 43. The length {, width w, and height h of a box change with time. At a certain instant the dimensio...

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Q: A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola y= 44...

A: Given: - A rectangle is constructed with its base on the x-axis and two of its vertices on the parab...

Q: 3 n2 + 9n + 18 n=1

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Q: 45. The radius of a right circular cylinder is measured as 2.5 ft, and the height is measured as 12 ...

A: This question is related to 3D geometory. Sove in step 2.

Q: x2 – x +1 When you evaluate: dx. The sum of the coefficient of X" for any constant n>0 js 26 15 23 B...

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Q: If y = 3x3 + 2x and dx 5, find dy when x = 2. %3D %3D dt dt dy dt %3D

A: Given, y=3x3+2x  and dxdt=5 We have to find dydt when x=2  

Q: AL THEOREM OF CALCULUS I ,b] then the function g(x) = f(x)dx 1, differentiable on (a,b) and g'(x) = ...

A: We have to find the following conditions according to the given information

Q: Suppose that the amount in grams of a radioactive substance present at time t (in years) is given by...

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: 10. Which of the following are roots of x3- 3x²– 45x-81? -3 and 9 -4 and 8 -2 and -1 -1 and 9

A: Simplification

Q: sinr f(x)=(x)'

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Q: x³ + 3x dx. x2 + 1

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Q: 4 SET UP AN INTEGIUL fonila fen SUifACE Arfer BounDED By Y=x-2y, x-C , Y=3, Auo x 20 CHEN ReTATowh A...

A: The integral for finding surface area of the solid obtained when the region rotated about y axis is ...

Q: Find the maximum and minimum values of the function f(x, y) = 2x² + 3y? – 4x – 5 on the domain x2 + ...

A: Given:    f(x,y) = 2x2 + 3y2 - 4x - 5      Domain on : x2 + y2 ≤ 289