sin $3xcos 3x dx

Q: Determine whether the series is convergent or divergent. If convergent, find the sum; if divergent,…

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Q: 3.x√x² + 1dx

A: Given query is to find the value of the integral.

Q: Find the arc length of the graph of NOTE: Enter the exact answer. L || r(t) = √²ti + e-√²tj + 2tk,…

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Q: 2ydx+x(x² In y-1)dy=0

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Q: Determine whether the infinite geometric series is convergent or divergent. If it is convergent,…

A: The given geometric series :35+925+27125+...The geometric series can be written as:an=3535n-1 where…

Q: 21. SHOW YOUR WORK Solve the system of equations in three variables: x - 3y + 2z == 10 2xy + 3z =- 9…

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Q: Find all solutions to the equation. cos 2x+1=0 Write your answer in radians in terms of , and use…

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Q: f(x,y)=6-3x3-2y2+81x-8y   Find the stationary point(s) of this function.  Determine whether the…

A: We need to partial derivate the f(x,y) to find stationary points.

Q: Find the (a) horizontal and (b) vertical asymptotes, and (c) graph the rational function. f(x) = 7x…

A: Given function f(x)=7xx2-16

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A: Assume u=sinx then du=cosxdx. Substitute sinx=u and cosxdx=du in the given integral.…

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Q: [ sin³(2x) dx

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Q: e the polynomial equation by using the root method, and check the solutions graphically. 3x³-192=0…

A: Given query is to find solution of the polynomial.

Q: Find f'(x) from f(x)= = 2x³x²x+ 2 using the definition of a derivative. (Do not include "f'(x) =" in…

A: Use simple differentiation formula.

Q: Factor and find the zeros of the following polynomial and write its behavior

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Q: If administrative assistants at Bookworm Publications make phone follow-ups after textbook reviews,…

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Q: Find a) any critical values and b) any relative extrema. f(x)=x² - 8x + 19 (...) a) Select the…

A: To find the critical values and relative maximum and relative minimum of the given function.

Q: d [r1(t) · r2(t)] dt d [ri(t) x r₂(t)] dt = =

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Q: Let the function f be continuous and differentiable for all x. Suppose you are given that f(-1) =…

A: Given that f(-1)=-3  , f'(x)≤4 we want to find the largest possible value of f(5)

Q: Solve the following differential equations of ẻ dx+2(xe - y)dy=0;

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Q: Find all values of x For w/c the graph of f lies above the graph g. f(x) = 49* ; g(x) = 2/1/1/1

A: First graph both function÷ y=49x

Q: A rectangular box is designed to have a square base and an open top. The volume is to be 1372 cm³.…

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Q: Find the area of the region bounded by the given curves. Decide whether integrate with respect to x…

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Q: dy 1. = e3x+2y dx X = 8; y = 1

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Q: Find a power series representation for f. (Give your power series representation centered at x = 0.)…

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Q: Determine the area of the shaded region bounded by y=-x² + 6x and y=x² - 4x. The area of the region…

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Q: Let f(x) = √√√x – 2. a) Find f(x + h): b) Find f(x + h) - f(x): c) Find_f(x+h)-f(x). h d) Find…

A: We have to solve multiple part

Q: For a certain model of car the distance of required to stop the vehicle if it is traveling at v milh…

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Q: A first order Bernoum's differential equation is in the form 2. The Bernoulli's form of the…

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Q: a.) Get an expression for an b.) Evaluate S50 c.) Find n such that Sn = -950 -2, -5, -8, -11,.

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Q: Calculate the first five derivatives of f(x) = sin(x). Then determine f(24) and f(25). (Use symbolic…

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Q: etes the stateme I all the intervals w

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Q: Evaluate the definite integral. [² (e¹³¹² i + e ²¹ j + ¹ k) dt O els els - 1 015¹1- - · i − (e¯¹ −…

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Q: If x is the modified divisor used for Jefferson’s method, then x is always greater than standard…

A: If x is the modified divisor used for Jefferson’s method, then x is always greater than…

Q: A 6 inch by 6 inch piece of cardboard has square cut out of its corners so that it can be folded up…

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Q: d d alculate ——[r₁(t) · r₂(t)] and [r₁(t) × r₂(t)] first by differentiating dt dt he product…

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Q: 46. yz = ln(x + z)

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Q: A sample of a newly discovered element, West Virginium, has a half-life of 295 years. How long will…

A: We have to find out t

Q: Solve the following X 1.0[₁-2x] i. D ii. D[xln (2x)] iii. D[cosx - 3 sin (2 x) ]

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Q: From November to December of 2015, the price per share of BP Oil dropped from $95.25 to $62.25.…

A: We can solve as follows

Q: A company determines a cost function of C = 6x² - 180x+2000, where is the cost (in dollars) of…

A: Given: We need to find the value of x for which c is having minimizes the cost. So,…

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Q: Compute the flux of the vector field F = 2xi + 2yj through the surface S, which is the part of the…

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Q: Use the formula k(t) 286 +⁹ k(t) = (4 + 169 +¹2) ² = ¸ ||r'(t) × r"(t)|| ||r' (t)||³ = r(t) =…

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Q: For the graph shown, identify a) the point(s) of inflection and b) the intervals where the function…

A: From the graph,(a) Inflection point is at which function changes it s concavityInflection point =…

Q: Consider the Solid Q in the first octant, formed by the surfaces y=(x-3)²+1, 4z + 3y = 15, x = 1, y…

A: Solution: The mass of solid =∬∫ρdv where ρ is the density function and ∬∫dv is the volume of…

Q: Let f(x) = x² - 1 on [-2, 3], Part A: What is the slope of the secant line connecting the function…

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Q: 13. What is 2sinx cos x dx? TRONG A. +C In 2 C. 2 cos.x B. +C 2sinx In 2 D. In 2 14. Which of the…

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Q: S 7 tan (2x) dx 2 Hint: tan²x = sec ² x - 1

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