Evaluate the integral: · √2 9 1 + x² -dx

Q: Give two sets of polar coordinates for each of the points A-F in the figure. D E A 0 B F 3 G= T 4…

A: A graph of the polar coordinates of each points A-F are given.The aim is to find the polar…

Q: Tutorial Exercise If fis integrable on [a, b], the following equation is correct. [" f(x) dr = limf…

A: We have to find the value of the limit to evaluate the integral.

Q: Using the graph of 5 + cos(7x), for 0 ≤ x ≤ 3³7, list the following quantities in increasing order:…

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Q: Find the average value of the function g (t) = e' over the interval [0, 10].

A: g(t)=et over the interval [0,10]Average value of f(x)=1b−a∫abf(x)dx

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Q: Evaluate the following integral. 498. (e+e-ª) dx

A: The given integral is ex.

Q: 7. Point (4, 6, -7) Perpendicular to n = j

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Q: n 17 years, Anthony Beechwood is to receive $100,000 under the terms of a trust established by his…

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Q: 1 S² F(x) '9 +6² f(x) dx = 37 and g(x) dx= 18, find I' [3f(x) + 5g(x)] dx.

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Q: Use the information given below to find sin(a-B). tan a = with a in quadrant 1 12 5' sinB =15, with…

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Q: tan x dx

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Q: A 15 inches candle is lit and burn at a constant rate of 1 inches per hour. Let T represent of hours…

A: Given that a 15-inch candle is lit and burns at a constant rate of 1 inch per hour.Let T represent…

Q: Find the slope of the tangent line to the parametric curve 3 cos (t) (y = 2 sin(t) X = at the point…

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Q: Find the radius of convergence and the interval of convergence of the series: Σ=1(−1)n+1 +1 (x-2)…

A: The given power series .The aim is to find the radius of convergence and the interval of convergence…

Q: Find the radius of convergence, R, and the interval, I, of the convergence of the series. n=1 (x -…

A: The given series is; Summation of (x-2) n sqrt(n)]

Q: Use the figures to calculate the left and right Riemann sums for f on the given interval and for the…

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Q: The vector field F(x, y) = (-y sin(xy), -x sin(xy)) is the gradient vector field of the function…

A: find r(t) at t=2,t=0

Q: An aluminum can is to be constructed to contain 2600 cm³ of liquid. Let r and h be the radius of the…

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Q: Find the value of k that makes the antidifferentation formula true [ (4x +1) 7 dx 4x + 1) ² dx = k (…

A: Integration helps to find the value of k.

Q: tan ¹ (sin x) √√x D) lim-

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Q: A company determines that its marginal revenue per day is given by R'(t), where R(t) is the total…

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Q: The table gives the values of a function from an experiment. Use the table to estimate So f(x)dx…

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Q: The amount of carbon-14 present in animal bones t years after the animal's death is given by P(t) =…

A: The amount of carbon-14 present in animal bones t years after the animal's death is given…

Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

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Q: The total cost in dollars to produce q units of a product is C(q). Fixed costs are $14,000. The…

A: The total cost in dollars to produce q units of a product is C(q)Fixed costs are $14,000

Q: When a circular plate of metal is heated in an oven, it’s radius increases at a rate of 0.05 cm/min.…

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Q: Find the distance d (in the complex plane) between z = 2 + 7i and w = 11 - 10 i. d = √ (1)² + (9)² X

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Q: Let P(t) represent the number of grizzly bears in a population at time t years, when t ≥ 0. The…

A: P(t) is increasing at a rate directly proportional to 600-P(t)P(0)=400

Q: Each of the regions A, B, and C bounded by the graph off and the x-axis has area 3. Find the value…

A: Each of the regions A, B, and C bounded by the graph of and the x-axis has area 3.To find the value…

Q: Determine wheter the series diverges. if it converges, find its sum. n=1 4" +5" 6h Converges or

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Q: ∫ 0↓20^ ​8e^0.1t dt (a) intervals of width Δt=10 and left-hand endpoints (b) intervals of width…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: K A bakery works out a demand function for its chocolate chip cookies and finds it to be d =…

A: The responsiveness of demand when the price changes is called the elasticity of demand is defined as…

Q: dx Assume that x = x(t) and y = y(t). Let y = x + 2 and dt dy Find when x = 3. dt dy dt (Simplify…

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Q: y = In (14)

A: Given that expression we have to find the derivative of y with respect to t

Q: Tutorial Exercise Express the limit as a definite integral on the given interval. lim Σvil (2 + x)…

A: The definite integral  can be written in the limit form on the interval [a,b] as

Q: Let z = 9.8 - 5i. Write z in the form a + b*i: Z = 9.8+5*i Let u = 5 - 2i and v= - 8 + 6i. Write u +…

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Q: Determine whether Σ(-1)^-1 is convergent. 1 √n +3 n=1 rk in order to roccio full in utiol onadit

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Q: * Find the general Solution of :- - dy хе dxx New 1=Y, NOVIR VO

A: The given equation is; dy/dx = xex

Q: Let f" (x) = 6x - sin x. ƒ' (0) = 1, f(0) = 2. Find f(x) ○ x³ O x³ + sin x + 2 ○ x³ – sin x + 2 ○ x³…

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Q: If f(x)- 3 cos 4x- - {).₁ 0 -3 -12 4 find f'

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Q: State the location of the vertical asymptote of f(x) and use limits to describe the behavior of the…

A: The given function isThe first derivative is given as,The second derivative of the function is given…

Q: Find the Maclaurin series of the function f(x) = (4x²)e-³x ∞ (f(x) = Σ cnan) n=0 C1 C3 C4 C5

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Q: tx" + (t − 2)x' + x = 0

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Q: The function f determine the cost of a new Honda accord in term of the number of years T since 2000.…

A: The function f determine the cost of a new Honda accord in term of the number of years T since 2000.…

Q: I If y = 2 cos x + sin 2x, find y" at x = - x=27/17-

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Q: a 10, b = 8, c = 7

A: To solve the following triangle.

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Q: f(x) = f(t-sint) ³dt

A: f(x)=∫1x(t−sin⁡t)3dtProperty of definite integral∫abf(x)dx=−∫baf(x)dx

Q: Show that the curve r= sin(0) tan() (called a cissoid of Diocles) has the line x = 1 as a vertical…

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