Find the average rate of change of the function f(t) = 24t from t 5 to t 7.

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A: We have to find the average growth, growth in particular year and draw graph. 

Q: Find the limit of the following sequences or show why they diverge. n2 – 2n + 1 (a) - en n+ (b)

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Q: Find an equation of the tangent line to the curve at the given point. у %3 бех + х, (0, 6)

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Q: x2 (x+1)(x²+4)

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

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Q: 1 1 c) z = /xy – 3(x + y) answer: -3 ; %3D 2 V x ôy 2Vy d) z= xy sin y = y sin y ; x sin y + xy cosy...

A: Note: Since you have posted multip;e questions we will solve the first question for you. If you want...

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Q: 12. The time a person studies for a test is variation to success on test. an inverse a direct an ind...

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Q: x³ + 3x dx. x2 + 1

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Q: Let f(x) = 2x? – 7x + 11 The slope of the tangent line to the graph of f(x) at the point - (5, 26) i...

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Q: Solve the given differential equati1on. All solutions should be found. dy 25 – 2y dx NOTE: Use c for...

A: The given differential equation is; dy/dx=(x5-2y)/x2.

Q: 8. Let T: R? - R³ be defined by T((a, b)) = (a, a + b, a + 2b). Find range T and a basis for range T...

A: We have to find the range of T. T((a,b))=(a,a+b,a+2b)

Q: 6. (- 1)"*1 n = 0 Vn + 1 n + 1 7. E (- 1)"3n – 1 2n + 1 Зп — 1 n = 1

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Q: 2. / 3" csc²(3") sin“(3") da (3") sin®(3") dx

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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: Express the repeating decimal as a fraction. 0.1111. . .

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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: X = 2. Given: = 4sin2t y = 2 cos t a) Identify all values of t that produce a horizontal tangent b) ...

A: Given :x=4sin2ty=2cost

Q: If we apply Rolle's Theorem to the function f(r) -2r 16r 8 on the interval 2, 6, how many values of ...

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Q: In each of Problems 1 through 4, determine intervals in which solutions are sure to exist. 3. (x−1)...

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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: Evaluate the indefinite integral. 24 W cot(x) csc2(x) dx 24 cot?(x) + C 25 O (csc(x))24/25 + C 24 25...

A: To solve this use integration by substitution method

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

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Q: Determine the form of a particular solution for each differential equation. No need to solve for the...

A: Given that the differential equation is      2y"'-3y"-3y'+2y = (ex+e-x)2 

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Q: 2. Determine whether the sequence converges or diverges. If it converges, find the limit. (In (In n)...

A: We need to determine convergence and limit.  

Q: Question 1 Find the global maximum and minimum values of each function and indicate where they occur...

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

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Q: Find an equation of the line tangent to the graph of G(x) = 4 e - 7x at the point (0,4).

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Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

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Q: dz 5 – 2x cos 2x dx 1 + sin 2x sec² 0 de. tan 0

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Q: 2x +3 and g(x) =4, find f(g(2)). x-1 5. Given f(x)

A: f(g(x))=fx-1xf(g(x))=2x-1x+3

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: Find the equation of the line tangent to the graph of f(x) = (In x)° at x = 4. (Type your answer in ...

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Q: 7. Including complex zeros find all zeros of f(x) = 9x° + 57x² + 66x + 30

A: f(x)=9x3+57x2+66x+30Take f(x)=0⇒9x3+57x2+66x+30=0find the values of x to get the zeros of the functi...

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: 1. Determine whether the sequence converges or diverges. If it converges, find the limit. 52n + 5 (a...

A: The given sequence is: an=52n+510n+5n+10

Q: Find a positive and a negative coterminal angle for each given angle 9) 285° 10) -225° 25T 11) 12) -...

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide ...

Q: 2 Show that the following limit does not exist. lim Ty Cos y (r.9)-(0.0) 3r+ y²

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Q: dx

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Q: 3. A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above th...

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Q: Consider the following sequence: {an} = {n – n² },e n=1 Use an+1 – an to show that the given sequenc...

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Q: Consider the function f(r) 3a on the nterval 6, 5Find the average or mean stope of the function on t...

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Q: - Beta Function ; Evaluate the following integrals : d z (2+bz?)² C. SuD 5/4 3/4 2.

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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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