Find c> 0 such that the area of the region enclosed by the parabolas y = x² – c² and y = c² – x² is 470. C = Question Help: Video M Message instructor D Post to forum Submit Question Jump to Answer

Q: 3. Consider the parametric equations x = 1+ cos(t), y = -2+ sin(t), 0S <2M. 3.1. Find an equation…

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Q: Indicate a general rule for the nth term of the sequence when a, = 2 and r = a, = (/2)(5y* a, =…

A: Given query is to find the nth term of the sequence.

Q: A population of bacteria is growing according to the equation P(t) = 2000e0.05t. Estimate when the…

A: Given query is to find the Indicated time.

Q: Given that f (x) = x 2 - 5x + 6, evaluate the function f(6). 0 -12 12

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Q: Write the vector v in terms of i and j whose magnitude Iv] and direction angle 0 are given. Ivl - 7,…

A: This question can be solved using the concept of component form of vectors.

Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

A: We have to find r(t)

Q: a. Find the derivative function f' for the following function f. 5. Find an equation of the line…

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Q: Express the limit as a definite integral on the given interval. lim 2 x;)?+9 -ах, [1,4] (x;")² + 9'…

A: Use;∫abf(x) dx =limn→∞ ∑n=1n f(xi) ∆x                       over the given interval [a, b].

Q: cos(xy) + secy = 5

A: To solve the second derivative y'' of the following function and to simplify the final…

Q: - f(æ) = Where is %3D discontinuous? x2 + 3x – 18 - o f(x) is continuous everwhere O 3 O-3 and 6 O-6…

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Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent.…

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Q: b. In the interval (0,5), f is not differentiable at x = (Use a comma to separate answers as…

A: Function is not continuous at those point where the graph of the function has missing points in…

Q: On the circle x² + y² = r², find y". r2 A. y" C. y" = y - x3 E. None of these -x² - y2 В. у" D. y" :…

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Q: PRACTICE ANOTHER fence parallel to one of the sides of the rectangle. Let y represent the length (in…

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Q: Find the curve length of the function 1 1. f(x) = ;x² 0 < x < 3

A: We can find the curve length as below.

Q: Use the Squeeze Theorem to show that lim x* cos = 0. If If(x) < B| for all x in an interval…

A: Squeeze (Sandwich)Theorem The Sandwich Theorem, also known as the squeeze theorem, is used to find…

Q: Differentiate the following function. r(1) = (e!2e!-4e) %3D r(1)=

A: We can solve as follows

Q: Given the geometric sequence where a, = 2 and r = 2 Find a10-. 32 256/2 32/2 256 O O

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Q: If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) =…

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Q: The following telescoping series [c0s" () - cos 1 COS COS in. n + n=1

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Q: Test the series for convergence or divergence. (If the quantity diverges, enter DIVERGES.) (-1)"-1…

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Q: 2x2 ) 3x Evaluate the given limit of lim if it exists. 1 x +1 O 1 O limit does not exist 2

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Q: b) sin(xy) = sin(x) + sin(y)

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Q: Consider the differential equation (x- 1)y" + y' = 0. By using power series so- lution about the…

A: Please see the below picture for detailed solution.

Q: Find the equation of the tangent line at the given value of x on the curve. y + xy? - 5 =x+3y; x= 3…

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Q: The following series 08 2n Σ (-1)" 4n 3n+1 n=1 17 37 converges to converges to 20 the above O the…

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Q: 4 8. + 6. 16 Consider the following geometric series: 2+ + .... Identify a and r, find a formula for…

A: The given series is  2+4/3 +8/9 +16/27+...

Q: Solve the system by the method of substitution. (If there is no solution, enter NO SOLUTION.) [x² +…

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Q: Find the domain and range of y = log,(7 + 5x). The domain is: The range is : > Next Question

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Q: The solution of the ordinary differential equation -y(4) + 4y" = 0 is: O c_0+c_1 x+c_2 e^(3x)+c_3…

A: Given -y(4)+4y''=0To find solution of Ordinary Differential equation:

Q: The terms of a series are defined recursively by the equations az = 5 5n + 2. an. an+1 4n + 11…

A: Here, the given series has: a1=5, an+1=5n+24n+11an

Q: Find a series solution about the ordinary point 0 of the differential equation y"+8xy'-4y-0 O None…

A: Given

Q: Question 28 Write the first five terms of the geometric sequence. a1 - 3; r=- O 3. 74 03 3 3 4' 16…

A: A detailed solution is given below.

Q: 3y + 2y Solving by variation of parameter y" Wronskian W is: 3e*cosx, the value of |

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Q: Find the area of the parallelogram with vertices K(3, 3, 2), L(3, 5, 4), M(7, 11, 4), and N(7, 9,

A: We have to find the area of the parallelogram of given vertices.

Q: evail hupisuoɔ əui 8u the partial fraction decomposition for 5x² – 3 - f(x) (x³ – 4x²)(x² – 3x +…

A: We have to find out partial fraction

Q: Ion 14 Based on the graph, find the set of all x-values for which the points P(x, y) are on the…

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Q: Use the Integral Test to determine whether the series is convergent or divergent. -2n ne =1 Evaluate…

A: From integral test of a series we get,   If a function f(x) is continuous , positive and decreasing…

Q: Find the curvature of the space curve. r(t) = - 3i + (3+2t)j + (t +8)k %3D

A: The given curve    r(t)=-3i+3+2tj+t2+8k

Q: 1+x dx V1-x

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Q: To prove that 2 dx 2 In V1 + (In x)² + In x| + C X/1+ (In x)² we use the substitutions

A: Find your answer below

Q: Holly was supposed to pay Tiffany $5,600, 6 months ago, and $1,960, 5 months from now. If she wants…

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Q: If In a + In(x- 5) = In(2x), then x = Show your work on paper. Use the space below to upload a…

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Q: sin(x) 1- sin? (x) 3. Evaluate the integral O 2ln|1 - sin2(x)| + C O -csc(x) + C sec(x) + C O None…

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Q: 19. The region bounded by f(x) = -4sinx , x = n ,x = 2n, and y = 0 is rotated about the y-axis. Find…

A: This question can be solved using the concept of shell method.

Q: Evaluate the difference quotient fla +h) – fla) for the function Ar)= 4х-3 (h - 6)/9h 1/9 4/9

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Q: Speedometer readings for a vehicle (in motion) at 10-second intervals are given in the table. t…

A: Let's find.

Q: 9- Find the coordinates of the absolute maximum an d minimum points for f(x)=2x²-x* given x €[0,4] :

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Q: \n + 2, The following telescoping series ΣΗ 1 sin sin-1 n + 1 n + 2, n=1 TT converges to converges…

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Q: Q2: Determine the type of the two lines (parallel, perpendicular, intersecting, north) and give the…

A: here figure 1  is pependicular line because given that both intersect at 90 degree    in figure 2 is…