Find the derivative of the inverse trigonometric function y = (arcsin x) / 3x2

Q: Find the average value of f on [0, 16]. fave || YA W 4 8 2 0 12 x In a certain city the temperature…

A: Average value  of function interval [a,b] ⇒fave=1b-a∫abfxdx

Q: Consider the function g(x) = a sin²(x)+1 kx+1 2x+1 if x T 2

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Q: f(x) = -6x + 17

A: The given function is: f(x)=-6x+17

Q: 5&6.1 Optimal Path(#differentiation) You are a rover pilot on the crew of the initial exploration…

A: Given information:  G1: The on shore velocity of drone = 4km per hour G2: The off shore velocity…

Q: Finding the Average Value of a Function 51. f(x) = 9x², [-3,3]

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Q: Evaluate the integral: (A) Which trig substitution is correct for this integral? 0x = 9 tan(0) O x =…

A: GIVEN :∫x39-x2dx

Q: (A) If y = 5x x² - 4 dy dx dy dx dy dx dy then = dx −5x2 — 20 (x² - 4)² 5x2 – 20 (x²-4)² −5x2 +20…

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Q: Given the curve r(t) = (cos 3t, sin 3t, 2t) Find the following unit vectors and simplify your final…

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Q: Evaluate the integral using the indicated trigonometric substitution. Note: Use an upper-case "C"…

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Q: of Touch up dx (3x-2)√√9x² - 12.x

A: Given ∫dx3x-29x2-12x

Q: Directions: Determine whether the given first expression is the solution of the succeeding given…

A: Since, you have posted multiple questions. As per guidelines, we'll solve only first question. If…

Q: Use the formula below to find the instantaneous rate of change of the function at the given x-value.…

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Q: Find the slope of the normal line to the curve f(x) = √x+1 at (3,2). B-1/4 1/4 ***

A: Topic- slope of the normal line for function y=f(x) ,slope of the normal line to f(x) at x=c is…

Q: The domain of the function is the interval (Number Number f(x)= √₁-

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Q: The accompanying figure shows a network of one-way streets with traffic flowing in the directions…

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Q: Find the equation of the line tangent to the graph of f(x) = -3x² + 4x +3 at x = 2. Provide your…

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Q: Find the derivative and simplify. dy dx y = (4x7 + 2) (9x6-9x4 -8)

A: differentiate by using by part formula

Q: (1) (A × B) U (B × C) (2) AX (BUC) C = {9,10}, B = {7,8} , A = {4,5}

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Q: If y=In (2-3x²) + 4e - 3x +9x, then f'(x) = 6x 2-3x² - 12 3.x e +9

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Q: et f(x) = 2x³ 4x² + x - 1 23 a) Use division to rewrite the function as individual terms with…

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Q: Find the indicated derivative. f'(8) = If f(x) = 122. Need Help? X Read It 48 F find f'(8).

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Q: 1. Obtain the general solution of the given DE: (t² + 7st + 16s²)ds = −s²dt. The DE is homogenous…

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Q: Suppose f(7/6) = 8 and f'(π/6)= -2, sin x f(x) and let g(x) = f(x) cosx and h(x) = = g'(π/6)= = and…

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Q: Let f(x) = 2x³ + 5x+3. Find x if. f-¹(x) = 1.

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Q: The spread of a virus is modeled by V (t) = −t3 + t2 + 12t, where V (t) is the number of people (in…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3.Please resubmit the question and…

Q: Let ƒ(x) = tan(x)and g(x) = sec(x). Find [ƒ(x) + g(x)]. da d dx −[ƒ(x) + g(x)] = d dx d dx [ƒ(x) +…

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Q: Find the average value gave of the function g on the given interval. gave = 8 g(t) = 1 + 2² [0, 3]

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Q: choose the correct answer Which recursive rule best describes the sequence  -3, -1, 5, 23, 77 … ?…

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Q: The volume of 425 mL of a certain liquid has mass 390 g. Find the mass of this liquid that has…

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Q: 2.) The daily total cost for producing x portable DVD players is given by C(x)=0.0001x³ -0.08x²…

A: NOTE: Refresh your page if you can't see any equations. . the total cost function is the average…

Q: Let The the domain of f is the set of all real numbers except Number Moreover, f (2) f(t+1) = Number…

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Q: 3. Find a model for the set of values. x-5-4 y 25 10 4 5 16 2 16 25

A: We have to find the graph for given set of values

Q: If the cost function for a commodity is 1 3 -13. 90 C(x) = +6x² + 6x + 14 dollars find the marginal…

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Q: Consider the function ƒ(t) = −t² + 3t. Find the average rate of change of f over the interval [4, 4…

A: Here we have to find the average rate of change of function.

Q: Problem 4: Find the set on which the function is continuous. 1 a. f(x) = 2-¹ e b. f(x)=√4x²

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Q: 2. Find the general solution. a) a' = -(2/t)x+t. b) y'+y=e². c) x² + 2tx=e-t² 1. First-Order…

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Q: choose the correct answer For a sequence with recursive rule given below, what value represents the…

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Q: op Graph the equation 2x - 4y = 8. Provide your answer below: -8 -7 -6 -5 -4 -3 -2 2 -1 7 -6 -5- 3 4…

A: Solution

Q: Which of the following is equivalent to S after appropriate half-angle substitution is used? Hide…

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Q: Solve the initial value problems. 15. dy dx = 3ex,y 6 when x = 0

A: The objective of the question is solving the given differential equations.

Q: Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total…

A: Cost, revenue, and profit are in dollars and x is the number of units.Suppose that the total revenue…

Q: An epidemic is growing in a region according to the rate N' (t) = 88t ", where N(t) is the number of…

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Q: 4. L y = e y 3y + y = 2e x + xe-x; y" + 2y' + y = 0 d³y d²y d

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Q: the domain of F is the set of all real numbers except _____, and its range is the set of all he real…

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Q: 4.) Lynbrook West, an apartment complex, has 100 two-bedroom units. The monthly profit (in dollars)…

A: Topic -Application of derivatives Marginal profit function=ddxP(x) we are given,…

Q: Given a table of values for polynomial function f(x), now many real zeros are certain to be found? X…

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Q: 2. Polar Coordinates. Plot the points whose polar coordinates are given by: (2) • (-2) (2-) •(-2-4)

A: Given information Plot the points whose polar coordinates are given by : ∘   2, π3∘   2, -π3∘    -2,…

Q: Question How much work does it take to pump all the water over the top edge of a cylindrical tank of…

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Q: Find the limit: (-3 Note: You 0 this problem lim t-0 -3t t -1 4.6 t7t6 7 8+ t

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Q: 1.) The total cost (in dollars) incurred each week to produce x Bluetooth Speakers is given by…

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