Find the derivative of the function. s = 8 t

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Q: Sketch the region of integration and convert the polar integral to a Cartesian integral or sum of…

A: Please see the below picture for detailed solution.

Q: (b) g(x) = (x + e*)², [0, In 4]

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Q: Average Cost for Producing MP3s The average cost (in dollars) incurred by a media company each week…

A: Here is the solution:

Q: Given the geometric sequence: 19, Find an explicit formula for an. an Find a7 = 190 3 1900 9

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Q: Consider the ellipse 4x² + 2xy + 2y² = 88. (a) The derivative on this curve is dr dy = dx (b) Find…

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Q: Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate…

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Q: A chemist has three different acid solutions. The first acid solution contains 25% acid, the second…

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Q: 1/9 A disease has hit a city. The percentage of the population infected t days after the disease…

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Q: The indicated function y₁(x) is a solution of the given differential equation. Use reduction of…

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Q: Express the integrand as a sum of partial fractions and then evaluate the integral. 10x² - 1 S 4 X X…

A: Given integral : ∫-10x2x4-1dx To find: The value of given integral using partial fraction. Let I =…

Q: Let f be the function given by f(x)=sin(2x)cos(1+x). What is the average value of fon the closed…

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Q: Follow the steps below to find the nonnegative numbers x and y that satisfy the given requirements.…

A: Given  x + y = 160

Q: 6 Function f is defined by [1-e, x0

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Q: Find the average rate of change of f(x) = x² from x = 1 to x = 4. (a) 3 (b) 5 (c) 15 (d) 6

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: QUESTION 24 Write the expression in expanded form. x2-9 (x+2)2 3 logg O 6 logg(x-3)-6 logg(x + 2) O…

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit.…

A: On finding the limit of the given sequence we will check the given sequence is convergent or…

Q: Find √ √1 + x²dx

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Q: The average rate of change of f(x) = X a. 2 b. 0.5 over the interval 1 ≤ x ≤ 2 is c. -0.5 d. -1

A: we will find the required.

Q: The Third Gate You arrive at the third gate and look for the inscription. Your computer translates…

A: Given: Limits include an arbitary real number, c.Find the limits limx→c+33(x-c)2 and limx→c-33(x-c)2

Q: 2 √x (x + 1) ² dx dx =

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Q: Consider the function ƒ(x) = x¹ − 18x² +8, −2 ≤x≤7. This function has an absolute minimum value…

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Q: The​ short-term demand for crude oil in Country A in 2008 can be approximated by q=f(p)=2,443,225p…

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Q: Let f(x) = 7x sin(x) cos(x). Evaluate 3TT f'(x) at x = 3³77₁ ƒ' (³)

A: f(x)=7xsinxcosxd dx(sinx)=cosxd dx(cosx)=-sinxd dx(a.b)=adbdx+bdadx

Q: -4 +00 24 y 2 -20 -2 4 2 4 ४ c. 1

A: we will find the required.

Q: Q12 Construct the equation of the line passing through (0, -2) and (3,5).

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Q: Find the limit. lim X→0 sin (8x) 7x

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Q: A study of the demand for air travel between two cities depends on the airfare according to the…

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Q: Find the relative maxima and relative minima, if any, of the function. (If an answer does not exist,…

A: We find the first and second derivatives using the power rule F(t)=3t5-20t3+20F'(t)=ddt3t5-20t3+20…

Q: 19x² tan¹x dx = [

A: The given integral is 19x2tan-1x.

Q: let y = 5 log2 x³ find y' O 15/(In2 +x) O 15/x O (5/In2)(3/x) noe of the above

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Q: The sum of integrals below give the area of a region in the xy-plane. Sketch the region, label each…

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Q: 4. Consider the graph to the right, containing the points (0, 1) and (1, 5). A. What function is…

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Q: lim x 8个 xxx 782_11x+67 cx87-67 lim ax87-11x+67 Cz87-67 lim x →∞ ar ax87-11x+67 cx82-67 =C =C =C

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Q: implied domain for the following function. x^(2)-4x=5x-6y

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Q: Find the values of x, y and z that correspond to the critical point of the function f(x, y) = 3x² +…

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Q: 6. What principal invested at 13% compounded continuously for 6 years will yield $9000? Round the…

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Q: A student drew the graph of y = f (c), y = f' (x), y = g(r), and y = h(x). Unfortunately, they…

A: Find the graph of y=fx and y=f'x.

Q: 2. Find the derivatives of each of the following functions. You do not need to simplify your answer.…

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Q: For what values of p does the following series n=2 (Inn)p-2 n converge or diverge?

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Q: 5. If 3x²z+y³-xyz³ = 0, find az / əx. 6. Show that if w=f(r-s,s-t,t-r), then dw dw dw dr + + = ds ôt…

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Q: 1. Find the derivative of the following function f(x) = 2√x-1

A: To find the derivative of the following function. fx=x2x-1

Q: Let f(x) = -12x sin(x) cos(x). f'(x) at x = ³7. 2 Evaluate ƒ'( ³ ) =

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Q: An object traveling in a straight line travels s(t) kilometers after t hours, where s(t) = 8t² + 5t.…

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Q: - Find the inflection points of f(x) = 2x¹ + 10r³ — 18r² + 7. (Give your answers as a comma…

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Q: Find the derivate of the functions a) F(x) = (7x²-9) (2x + 7) f'(x) = b) f(x) = 8x² - 2 8x +3 f'(x)…

A: To find derivatives

Q: The gradient of f(x, y) = xy at (x, y) = (2,3) is

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Q: Find the arclength of y = 2x² - 5 on 0 ≤ x ≤ 1

A: Given: y=2x2-5 on 0≤x≤1 To find: Arc length.

Q: Maricopa's Success scholarship fund receives a gift of $ 85000. The money is invested in stocks,…

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