Find the length of the curve of the graph of the indicated function. y = (x + 3)3/2, between points (0,5.19) and (4,18.52)

Q: Find the area of the region that is enclosed by the cardiod r = 14+ 14 sin 0. NOTE: Enter the exact…

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Q: Consider the following algebraic functions. F(x) = -x2 + 6x + 5 g(x) = x+ 5 Sketch and shade the…

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Q: Use the properties of the derivative to find the following. r(t) = ti + 4tj + t?k, u(t) = 4ti + t²j…

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Q: Current Attempt in Progress Express the iterated integral as an equivalent integr with the order of…

A: we have to change the order of integration.

Q: Which of the following angle measure (in degrees) is coterminal to an angle of measure 660 degrees?…

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Q: SAQ 4.1 Taylor's Theorem Name: Year & Course: Date: Instructor: 1. Find a Maclaurin series expansion…

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Q: Use Green's Theorem to evaluate the line integral. 2xy dx + (x + y) dy C: boundary of the region…

A: We need to evaluate integral using Green's theorem.

Q: Find the linear approximation at x = 0 to each of f(x) = (x + 1)², g(x) =1+ sin(2x) and h(x) = e2*.…

A: To find the linear approximation at x=0 to the given functions using the formula:…

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

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Q: Sketch the region in the plane consisting of points whose polar coordinates satisfy the given…

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Q: Each unit of a product can be made on either machine A or machine B. The nature of the machines…

A: Here, from the given details, C(x,y)=30+x26+260+y39 That should be minimized using…

Q: Determine the surface area of the solid obtained by rotating y=v9-x from -2sxs2 about the x -axis.

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Q: Question Determine the interval(s) for which the function shown below is decreasing. 2 6-6 2 3…

A: We have to find  interval in which function is decreasing.

Q: 5. Find a Taylor series expansion around x = 1 for f(x) = 6. Without solving the exact answer,…

A: 5) The Taylor series formula around x=1 is:…

Q: Calculate the derivative of 2t – 1 > t + 2 r(t) =< 3t – 5, 2t2 + 5t + 7,

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Q: (b) A spring exerts a force of 4.2N when stretched 0.7m beyond its natural length. How far beyond…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

A: Here, to maximize the function f(x,y,z)=xyz using the constraint g(x,y,z)=x+y+z-6=0...(1)

Q: Use double integration to find the volume of the solid. ... 3x + 2y + 4z = 12

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Q: rl+ 4sino

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Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

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Q: Use the Laws of Logarithms to rewrite the expression below in a form with no logarithm of a product,…

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Q: 33. The expression for the horsepower of an engine is P-0.4 n x^2 where n is the number of cylinders…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: please

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Q: 3.1 If the Laplace transform of coswt is then find the Laplace Transform of the s2+w? following…

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Q: Question 9 1 2 1 Evaluate the iterated integral. J, J. J. (x²+ y2 + z?) dx dy dz -1°0 0, А) 5 В) з 8…

A: The solution is given in the next step.

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

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Q: Use spherical coordinates to find the volume of the solid. The solid enclosed by the sphere X + y +…

A: Here, to find the volume if the solid enclosed by: x2+y2+z2=4a2 The cartesian to spherical…

Q: Find the centroid of the region. NOTE: Enter the exact answers. (ë, g) = | (?,?) y = z

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Q: pproximate using differentation:  e0.99 Please show step by step solution.

A: This question can be solved using the concept of approximation using derivatives.

Q: In exercises 11–30, find all critical numbers by hand. If avail- able, use graphing technology to…

A: 13)f(x)=x34-4x14f'(x)=34 x-14 -414 x-34f'(x)=34 x-14 -x-34 f'(x)=034 x-14 -x-34 =03 x-14 =4x-34 34…

Q: Express the area of the given surface as an iterated double integral, and then find the surface…

A: We have to find the surface area.

Q: Find the exact sülution fur ylz Xtzy

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Q: ... 3x+ 2y + 4z = 12 12 15

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Q: Use a double integral to find the volume of the region under the graph of f(x, y) = xy and above the…

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Q: Using appropriate substitution dx 4 (x+ 1)2 - is equal to -/4-(x+1)2 – sin- (*) + C the above…

A: Given problem:-

Q: Find the equation of line: A. Line passing through (5,-11) parallel to x axis. B. Line passing…

A: Equation of a line passing through (x1,y1) is given by, y-y1=m(x-x1) , where m is the slope of this…

Q: Solve y" +3y'+2y =

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Q: Find the area (to three decimal places) bounded byf(x)=x^2e^x and q(x)=4-x^2

A: Given problem:- Find the area (to three decimal places) bounded byf(x)=x2 ex and q(x)=4-x2

Q: Let fa function such that f and f' are continuous in all their domain , If f(-1) = 2 and f'(-1) = 5…

A: limx-0[f(-1+3x)-f(-1-4x) ]/x.

Q: Find the area of the region inside the circle r = 12sinθ and outside the cardioid r = 4 + 4 sinθ.

A: Area

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. yz dx dz dy = -72

A: To evaluate: ∫02∫-72y2∫-48zyz dx dz dy

Q: Find the center of mass of the given system of point masses lying on the x-axis. m = 8, m, = 3, m, =…

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Q: uni vectors that stâtêd coi satisly th st cônditi NOTE: Enter the exact answers in terms of i,j and…

A: Given: u=-2i+7j

Q: 1009 1010 Suppose R= E (2k) = 2 + 4 +6+.+2018 and S= D (2k-1) =1+3+ 5+.. + 2019 What is the value of…

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Q: Sketch the region of integration. (Select the correct graph.) rIn 6 6 dy dx In y y y 61 6 4 3 2 1 4…

A: Area

Q: Verify Green's Theorem by evaluating both integrals v? dx + x2 dy dA ax for the given path. C:…

A: 9

Q: Evaluate the iterated integral. 1 2r y 8ry: dz dy dx

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Q: d d Calculate r:(t) · r2(t)] and r:(t) × r2(t)] first by differentiating dt dt the product directly…

A: r1(t)=cos(t)i+sin(t)j+3t kr2(t)=2 i+t k

Q: Find the area of the region inside the circle r = 12 sin 0 and outside the cardioid r = 4+4 sin 0.…

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Q: Question 13 2 Evaluate the iterated integral. yz dx dz dy

A: Evaluate the iterated integral .