ist √1-sin² 2x 8 sin 2x dx

Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F = (9x…

A: Given that,

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A:

Q: 3. Solve each problem a) 39 = 2y+1 b) 9e²y = x² c) ln(y - 1) = x + ln y

A: Explaination of the answer is as follows

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A: we have given sequence

Q: Find the indefinite integral. Check your result by differentiating.       8x dx

A: The objective of this question is to find the indefinite integral of the function 8x with respect to…

Q: Let f(x) = 3x + 3 and g(x) = −3x - 3. Compute the following. (a) (fog)(x) (b) (c) (d) (fog)(8)…

A: Let .To compute the following:

Q: If what does the following integral equal? 1 [²₁ q (u)du = -6 1 5 5 q(u)du = 5 and q(u)du = 10.3 -6

A: As we know that

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

A:

Q: Find all holes of the following function. If a hole exists, write your answer as a coordinate point…

A: The given function is

Q: Parametrize the given circle. c(t) = the circle with radius 5 and center (7,4)

A: Given that the circle with radius  and center

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A: The line segment passes through the points  to .The aim is to find the function  that describes the…

Q: Find all vertical asymptotes of the following function. f(x) = 2x + 10 x² - 16

A: To find all vertical asymptotes of the following function.

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A: According to our guidelines, we are supposed to answer only one question if multiple questions are…

Q: evaluate the integral dx 8+2x-X² S

A: The given integral is 1/sqrt(8+2x-x2)

Q: A company has total profit function P(x) = -x² +300x - 22331, where is the number of items (or…

A: A company has total profit function ,  where x is the number of items  (or production level).(B) To…

Q: 3 Let f(x)= x³ - 2x+: Calculate by definition f'(1). X

A: given function to find the derivative

Q: Using only the root test, determine if the following series converges or diverges: Σ( n=1 n

A:

Q: Given that β is in Quadrant 4 and tan(β)=−7/4, give an exact answer for the following: sin(2β)=?…

A: The objective of this question is to find the exact values of sin(2β), cos(2β), and tan(2β) given…

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Q: Find the area of the triangle with vertices A=(2,3,1), B=(2,3,3) and C=(5,4,2).

A:

Q: The top and bottom margins of a poster are 2 cm and the side margins are each 8 cm. If the area of…

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Q: EVALUATE THE FF: -dx 5x 4.) x2 + 3x-4 C2x+3

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

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A:

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A:

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

A:

Q: (d) k=1 5k 8k+6

A:

Q: Carry out the indicated operations. Express your results in rectangular form for those cases in…

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Q: 10) Find (ƒ^¯') (-5) if ƒ(x)= x³ +3x−1.

A:

Q: Pls help ASAP and pls provide all steps and calculations

A: Consider the graph

Q: Solve the integral: § sec2(x) tan(x) dx two different ways: By letting u = sec(x), and by letting u…

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Q: Function? (Yes or 3. Is the relation a Report domain and range. No) SQ yo

A: If the vertical line intersects the graph at only one point, then the relation is a function.As we…

Q: Use partial fractions to find L-1. 26-5² s(s² + 4s +13)

A: given

Q: Given the graph of f(t), let A₁ = 0.75, A2 = 5, and A3 = 2. Let F'(t) = f(t). A₁ -2 -1 A. Evaluate…

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Q: sin x lim x 0 9x³

A:

Q: 4. Set up, but do not evaluate, an integral representing the volume of the solid in R3 bounded by…

A: The given equation of plane is

Q: Find all holes of the following function. If a hole exists, write your answer as a coordinate point…

A: The given function .The aim is to find the holes in the function.

Q: Find the derivative of y with respect to z. y = In (cosh 3z) y' =

A:

Q: Given the series: k=1 8 k does this series converge or diverge? O diverges converges If the series…

A: We have to find whether the series converges or diverges.

Q: Use partial-fractions to find the integral: A.) integral (2x+1)/(x^(2)+x)dx B.) integral…

A: A). B). C).

Q: Compute r''(t) and r'''(t) for the following function. -e-² r(t) = √t+6i+ r'' (t) = (i+j+ r''' (t) =…

A: We compute r''(t) and r'''(t) for the following functionr(t)= +-

Q: Find the Taylor series for f(x) = x³ + x² + x + 1 about a = 1. Show all your work clearly.

A: We find the Taylor series for f(x) = x3 + x2 + x + 1 about a = 1.

Q: EVALUATE THE INTEGRAL 5² .dx e'x 2 x² 00

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

A: Solution:Given function,f(x)= 3/x + 1 ,[1,5]n =4

Q: A rectangular aquarium having a length of 4 meters, a width of 2 meters, and a height of 3 meters is…

A:

Q: The pollution level near a dump site has been modeled by the equation P(t) = 0.05 +0.11e0.34, where…

A: Given: The pollution level is modeled by, where P is the volume of pollutants (in cubic meters) and…

Q: What is the inverse Laplace transform of the function: S-3 s²-2s+10 O O 5 2e cos3t+-e'sin3t e'sin 31…

A: To find the inverse Laplace transform of the following function.

Q: Find the area between y = 1 and y = (x − 1)² – 3 with x ≥ 0 - Q The area between the curves is…

A: Consider the graph

Q: Find all horizontal asymptotes of the following function.

A: