Find the absolute extrema of the function on the closed interval. f(x)=8-x, [-2, 2] minimum (x, y) = maximum (x, y) =

Q: 1) Find all intercepts and test for symmetry. y = 3√9-x

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Q: Tutorial Exercise Find the slope of the tangent line to the graph of the function at the given…

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Q: ENAS X dx 1+419x

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Q: verges. 8 (-1)"6" n=1 5n lect the correct answer below: a) The series converges absolutely O b) The…

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Q: Consider the following given function and given interval. f(x) = 10 sin(x) - 5 sin(2x), [0, π] (a)…

A: Given data÷ fx=10sinx-5sin2x Interval : 0,π   From part a) the value of favg=20π   fc is given by…

Q: 1 ) [ x (x ² − ² + + + + ) dx i) - x

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Using De Moivre's formula demonstrate that sin(3x) = 3sinx − 4sin3x

A: Given that sin3x=3sinx-4sin^3x De moivres formula is (cos x+ i * sin x) ^ n = cos n*x+ i * sin n*x -…

Q: lim x 1 lim -x 1-x

A: topic:- calculus

Q: s²+1 Find the inverse of Laplace transform of log (² (s−1)²,

A: =L^-1[log(s^2+1/((s-1)^2) =2(e^t-cos(t))/t

Q: 2 3. Prove: sinx + sinxcot x = cscx.

A: I have stated the used formulas in the solution

Q: 5. The height of a chair on a Ferris wheel is described by the function h(t) 15cos(t − 4) + 18 where…

A: Let's find possible height of ferris wheel.

Q: question 1 please

A: Topic:- calculus

Q: Question 3 Given the following, complete the questions below: A= B= 2 a. Perform the transposition…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Question 1 Given: 2y" + 5y¹ - 3y = 0; y(0)-4, y'(0)=9. Evaluate f(1).

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = 1 + est L{f(t)}

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Q: Determine whether the lines intersect. If they do, find the coordinates of the point of…

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Q: 2 3 [²³x²³ ln(x¹) dr Sº x exp(-x) dx 1 X Jo 2x² +1 dx

A: Solve the integral

Q: dw A goat that weighs 6 pounds at birth gains weight at the rate dt (a) Find the particular solution…

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Q: Which of the following series should be used to determine the divergence of the series Σ, V5n2+2n+4…

A: Given :- ∑n=1∞5n2+2n+4n

Q: Please TYPE this out.  I do not want it handwritten.

A: The given function is y=xx4+4

Q: A soccer ball is kicked into the air, and its height (h) in feet after t seconds is given by h( t )…

A: A soccer ball is kicked into the air, and its height (h) in feet after t seconds is given by…

Q: first-order

A: Given : y' = x9y + sin(x) The standard form of first order differential equation is  y' + p(x)*y =…

Q: ds Find the particular solution of dt H|2 1 = cos-t

A: The given equation is;  ds/dt = cos (t/2).

Q: Evaluate the following integral: 2x 3xy SS²*13 (2y)dzdydx x

A: A detailed solution is given below       We know that ∫xn dx =  xn+1n+1

Q: Find a bound for the error when approximating the series Round your answer to six decimal places.…

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Q: If the rate of change of Q is inversely proportional to Q where Q > 0. If Q(0) = 250, and Q(2) =…

A: Given problem:- If the rate of change of Q is inversely proportional to Q where Q > 0. If Q(0) =…

Q: Consider the following function. f(x) = |x-7| Find the derivative from the left at x = 7. If it does…

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Q: Find the nth term of a sequence whose first several terms are given. 11 17 23 29 4 9 16' 25' an = II…

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Q: Describe the x-values at which is differentiable. f (x) = { 3²-7 x²-3x≤0 3-x²x>0 T -2 2 -2 The…

A: Let's find function is differential or not.

Q: Express the function in the form f o g. f(x) = g(x) = F(x) = sin(x)

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Q: According to a study, 36% of experienced file-sharers with broadband access had decreased their…

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Q: is dropped s(t) = -16t² + vot + so (a) Determine the position and velocity functions for the coin.…

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Q: Determine whether the telescoping series converges or diverges. 5 5 Σn=1 (√2+2 -√2+3) /n+2 a) The…

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Q: Find the sum. 6 Σ k k = 2

A: Here we have to find the sum.

Q: here are two regions bounded by the line y=x and the curve y=x^3, one in the first quadrant and…

A: Given problem:- There are two regions bounded by the line y=x and the curve y=x^3, one in the first…

Q: Determine the total number of arrangements of the digits 173174561737 so that no 7s occur next to…

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Q: 1 C 16 A 3 2 -1 -2- -3 -4 -5 1 V = 2 The graph above shows the base of an object. Compute the value…

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = -5…

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Q: 1. (a) First find the following indefinite integral A. e666 B. 2e667 (e - 1) e√x+666 [= √x dx = (b)…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Determine the limit of the given sequence: sin (159) an = If the limit does not exist, enter Ø. If…

A: Use limit

Q: 1- Find the inverse of Laplace transform of log (²+12)

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Q: Find an explicit formula for the sequence defined recursively such that a₁ -4 and an = an-1 + 6.

A: We have to find the explicit formula

Q: Euler found the sum of the p-series with p = 4: ζ(4) = Σ Σ n = 1 Use Euler's result to find the sum…

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Q: Problem 19. 78 ain Evaluate the definite integral. -5 √5x + 3 dx =

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Q: Use Stokes's Theorem to evaluate F(x, y, z) = yzi + (2 − 6y)j + (x² + y²)k, x² + y² ≤ 49 S: the…

A: Let's solve part 2.

Q: 1 x - x² 3 2√√√x -8 dx

A: The given integral, ∫-8-1x-x22x3 dx

Q: (b)(is) Verify that the function satisfies the hypotheses of Rolle's Theorem on the given interval.…

A: Explanation of the answer is as follows

Q: Find the equations of a line through the points (-5,5) and (10, -2) (slope-intercept form) passing

A: Recall: The equation of the line in slope intercept form is, y=mx+c, where m=slope, c=y-intercept.…

Q: The equation r(t) = (t + 7) i + (√3t) j+ (3t²) k is the position of a particle in space at time t.…

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