Find the length of one arc of a cycloid generated by a circle of radius R = 6. Hint: Use the identity 1-cos(t) 2 sin² ( 5 ). (Use symbolic notation and fractions where needed.) s =

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A: SOLUTION GIVEN BELOW

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Q: Find all the zeros of the function and write the polynomial as a product of linear factors. х4 +…

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Q: 9. Given that u = (1,5) and v = (-2,3), determine the following %3D -3u – 4v =

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Q: On a hot summer afternoon, a city's electricity consumption is  −3t2 + 12t + 10  units per hour,…

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Q: x2 V1-x2 dx Use trigonometric substitution

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Q: evaluate lim f (x) and lim f(x). X--00 -5 + 2e-* f(x) = %3D 5e-+6

A: f(x)=-5+2e-x5e-x+6limx→∞f(x)=limx→∞-5+2e-x5e-x+6             =limx→∞-5+2ex5ex+6…

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Q: The total revenue R earned per day (in dollars) from a pet-sitting service is given by R(p)= –…

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Q: Fnd the gradent vector feld o S(2,9) = VEz+ y. Provide your answer below

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Q: 17 i

A: Explanation of the answer is as follows

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Q: f(x) Let lim = 2. Find limits below. f(x) + 6x (a) lim 2.x f(3x) (b) lim I+0 5x

A: Use the limit given above and simplify limit for a and b .

Q: Find the absolute maximum and absolute minimum of 9(t) = t/4– t on the interval [0.8, 2.8]. Enter…

A: topic - application of derivatives

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Q: | 10re", | 2:r3 + 3x² – 12x, r>0 * <0 Given: f(r) = (a) Identify all critical numbers of f. (b)…

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Q: 2) Find the equation of the tangent line to the curve y = cos(2x+ at x =

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Q: 5) The hypotenuse of a right triangle is 12 cm in length. Calculate the measures of the unknown…

A: To find the dimensions of given triangle such that it has maximum area.

Q: 3.12 Еxpress lim n00 n k3D cos 1+ as an integral. (Be sure to include the lower and upper limits|of…

A: Given: limn→∞ 2n∑k=1ncos1+2kn To convert this into the integral , use the following method

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Q: S x²+x+1 3. Use partial fractions. 2r²+2+x³+x

A: We have to solve the integral using partial fraction method.

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. p5-y y dx dy 3y

A: the solution is as follow

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Q: 4.x 2x 7e lim 1- e4x

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A: Given functionf(x)=xx-4

Q: Choose the graph of y= 2 arcsin x, - T S YS T 27

A: when x=0, y=0 at x=1 then y=π at x=-1 ; y=-π

Q: Solve the differential equation y tana+y = 3 sin r. %3D sin I A sin a B sin r + C Cos a c - sin I +…

A: We have to solve the differential equation: y'tanx+y=3sinx

Q: 14. The set of all critical numbers of f(x) = 2 cos x + sin 2x on (0, 2n) is B. {등, 똥) 5T A. . В. c.…

A: f(x) = 2cosx +sin2x for critical point derivative of function is 0 f'(x) = -2sinx + 2cos2x -2sinx +…

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Q: Solve the system by using Gaussian elimination or Gauss-Jordan elimination. 2x+7y = -13 3x+18y = -42…

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Q: Find all intercepts of the following function. 1 g(x)= - x-4 y-intercept: |0. x-intercept: and…

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Q: 2. Evaluate the integral where R is the trapezoidal region with vertices (1,0), (2,0), (0,-2), and…

A: A detailed solution is given below.

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Q: Given f''(x) 25 sin(5x) and f'(0) = - 1 and f(0) = 2. | Find f() 6.

A: Given query is to solve the differential equation and find the valu of indicated function.

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Q: Express the polar coordinates (-2, -7) as Cartesian coordinates. (2, 0) (0, -2) O (0, 2)

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Q: I 2 3 To find the blue shaded area above, we would calculate: | f(x)dx = area Where: a = b = f(x) =…

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Q: 1. | (In x)² dx_ Use integration by parts.

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Q: Given f'"(x) and f'(0) = 2 and f(0) 2x – 4 - 2. Find f'(x) = and find f(4) : =

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Q: 1.) Í 9r*dr/V1- r 2.) csc c²20cot20d0

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Q: Evaluate the integral. 5 | 8x?dx xp. 1

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of F(2) = | sin(t*)dt F'(x)…

A: Given query is to find the derivative.

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Q: 1. Vectors v and w are given on the grid. It can be calculated that 2v + w = . Make a drawing on the…

A: First take the origin and find v &amp; w vectors then solve each part.

Q: Determine the series' radius of convergence and interval of convergence: n-1 n | 1) n5" n=1 00 2n 2)…

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Q: Find the area between y = 3 sin a and y = 7 cos a over the interval [0, 7]. Sketch the curves if…

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