Use your calculator to estimate the arc length of y = x“ over the interval [1, 2]. -5 (2, 4) (1, 1) 3.1678 3.1476 3.1623

Q: A. Direction: Use the definition of continuity of a function at a number in determining whether f(x)…

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Q: The auxiliary equation of the homogeneous linear equation y" – 24y' – 16y = 0 is m? – 24m – 16 = 0…

A: Given differential equations y''-24y'-16y=0

Q: The space within a one mile racetrack consists of a rectangle with a semicircle at each end. To make…

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Q: Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (7t + 6)i + tj, 0st<1

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Q: 3. Supply the missing integrand and limits of integration. 61y drdy fip (b) 62y dydz =- dr

A: Solve it.

Q: p(x) = sin x cOs x Select the correct response. Otan x O cos? r - sin? r COS sin? x – cos? x 1

A: p(x) = sinx/cosx here i think question is sinx*cosx any of the answer is not possible so the…

Q: Solve the initial plem - 6v + 25y = 0. v(0) = 2.

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Q: A general equation of conic section is given as y + 4x? + 4(x – 2y) + k = 0. Determine the value/s…

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Q: Let f(x) = V31 – x. Compute f'(6) using the limit definitic f'(6) = %3D Find an equation of the…

A: Given: f(x)=31-x

Q: Consider the differential equation y" – - 1ly" + 28y = 0 %3D

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Q: Compute the composite functions f∘g and g∘f and discuss their domains, where f (x) =√x, g(x) = 1 –…

A: To compute the composite functions

Q: Find the intervals of concavity of the function g(x)=2x4+9x3

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Q: Write the radius of the circle x 2 + y 2 = 5 25 √5 5

A: General equation of circle is given by  (x-h)2+(y-k)2=r2  Where (h,k) is the circle and r is the…

Q: Find the area bounded by the curve y=x^2 − 4, the lines y = 0 and x = 4

A: The graph is shown below:

Q: Find thee inverse function. of fcas_ 2x+3 らメープ

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Q: 1. Find the area bounded by a curve y? = 9 - x and the y - axis. %3D

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: system. Include an appropriate title and leg # 2. Are the functions G (x)= and H(x)= x the same?…

A: The given functions are G(x)=x2 ......................................... (1)  and H(x)=x…

Q: Write the equation in general conic form of the circle that passes through the points (0,0), (0, 6),…

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Q: Write the equation in standard form of the circle whose diameter has endpoints of (-2, 4) and (8,…

A: Given,            The circle whose diameter has endpoints of -2,4 and 8,-6.To find : Write the…

Q: Express the integral as an equivalent integral in which the z-integration is performed first, the…

A: A detailed solution is given below.

Q: Tokio tracks the monthly balance of her investment in a newly opened bank in Palawan. Refer to the…

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Q: 2.x4 h(x) = 5x³ + 6 .

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Q: 1 Write step-by-step solutions and justify your answers. (1) Solve the initial-value problem 3"…

A: 1)y"+y'-6y=0Auxiliary equation is;D2+D-6=0(D+3)(D-2)=0D=-3, 2Roots are real and distinct.Hence, the…

Q: Solve the initial value problem y" – 6y' + 25y = 0, y(0) = 2, y'(0) = -3. %3D

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Q: For which values of t is the curve concave upward? x=cos(2t) y=cos(t)

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Q: Find a number whose difference from its square root is least

A: Explanation of the answer is as follows

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Q: 2 - 41 -y =0 /2

A: Area of curve = integration of ydx from x1 to x2

Q: Express the integral as an equivalent integral in which the z-integration is performed first, the…

A: corresponding limit after changing the order of integration  here y = z so only this limit is change…

Q: 12 cos ti + 7 sin tj – k It is an ellipse in the z = 1 plane, center at (0, 0, 1), major axis of…

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Q: The slope of the surface z = ry in the r-direction at the point (2,3) is slope of this surface in…

A: Follow the procedure given below.

Q: Identify the conic section -3x? – 12x - 5y = 37 Parabola Ellipse O Hyperbola What are the…

A: Given:         Conic section -3x2-12x-5y=37 This is in the form of standard equation 4py-k=x-h2…

Q: x +1 Evaluate the integral dx. Vx2 + 2x + 3

A: Note: for given integral none of the option is correct match.I have solved as per integration by…

Q: Verify Green's Theorem by evaluating both integrals an aM dA y² dx + x² dy = |/ əx ду for the given…

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Q: What is the largest value of x for which the series (x- 3)" n°87 is absolutely convergent? Yanıt:

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Q: 2 Determine f(x), given f'(x) = x´ – 3x + 1, and f(0) = 2.

A: As per the company guidelines we are supposed to answer only the first question.Kindly repost the…

Q: Describe the graph of the equation. r = 6 sin 9t i – 6 cos 9t j O Itis a circle of radius 6 in the…

A: Given curve  r= 6sin(9t)i-6cos(9t)j =xi+yj So, x=6sin(9t) , y= -6cos(9t)

Q: Use Implicit Differentiation to find dy/dx where 2xy + x = 1 1-2y a. y' = 2x -3-2y b. y': 2x -1-2y O…

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Q: Area bounded by the curves y=e*, y=e", x=0 and x=In2 (A) 604/9 B) 304/7 304/14 (D 502/9

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Q: 4) A particle is moving along the curve y = vx. As the particle passes through the point (4,2), its…

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Q: Find the general solution of the differential equation y" – 3y" + 2y' = 0.

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Q: 43 A and B are B,3 matrices where lAl = -3 and IBl =2. Giren this, what is |-2 AD-2|?

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Q: Find the radius of convergence of the series 2" n=1 O 1/2 O 2 O1 O infinity

A: Explanation of the answer is as follows

Q: Find the third order derivative of y = In(cos(2x))5. %3D A. y' = -40sec² (2x)tan(2x) %3D В. у' 3…

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Q: Write the general equation for the circle that passes through the points (- 5, 0), (0, 4), and (2,…

A: Given -5,0, 0,4, 2,4 To find general equation of circle:

Q: Write the general equation for the circle that passes through the points: (0, 0) (6, 0) (0, - 8) You…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of sin () h(2) = L, (cos…

A: Use part I of the Fundamental Theorem of Calculus to find the derivative of

Q: |r'(t) × r"(t)|| Use the formula k(t) to find k(t). r(t) = ti+ t°j к()

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Q: Write the center of the circle x 2 + y 2 - 6x + 10y - 2 = 0 (-3, 5) (3, -5) (6, -10)

A: Centre of circle

Q: Find the laplace transform of cosat using the formula L{f(t)} = e-stf(t)dt . Hence find the laplace…

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