Find the volume of the solid cut from the​ thick-walled cylinder 4≤x^2+y^2≤7 by the cones z=±(4x^2+4y^2)^1/2.

Q: Find My My, and (x, y) for the lamina of uniform density p bounded by the graphs of the equations. y…

A: My =ρ∫08x.x2/3dxMy=ρ288/3My=323ρIf region in the plane with constant density ρ is bounded by the…

Q: Using the methods of this article, determine the surface area A and volume V of the body formed by…

A: in this question  we determine area and volume of object.

Q: Find the derivative of the function. f(x) = (1 + x*)²/3

A: f(x) = 1 + x423 f'x = ?

Q: Find the x- and y-components of  R = 2A − B if A has components  Ax = 18.6 m and  Ay = 13.0 m…

A: Given Data: The equation for the component R is, R=2A-B The x component of A is, Ax=18.6 m The y…

Q: Find the mass of the block 0 <x< 4,0 < y< 8,0 < z< 1, whose density 8, is given by 8 = 2 – z for 0)…

A: The density is given by: ρ=2-z The mass of the block is calculated as:…

Q: Consider the curve described by the parametric equations E = 2 cos t, y = 3 sin t For which value of…

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Q: Find the gradient of o 5x°y + 2yʻz³ – 3x yz at the point (1, –1, 2) %3D

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Q: PROBLEMS 97 2-45. Describe how to determine whether an equilibrium is stable or unstable when…

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Q: The height varies from h to zero according to this function: y(x) = h ( -1). The constants h and e…

A: Given: y(x)=h(xl-1)2h=1 ml=3m

Q: Find the gradient of following scalar function: |5x+7y°+3z' r = V

A: SOlution: the gradiant is given by for the scalar funciton F(x,y,z) dF = i dF/dx +jdF/dy + kdF/dz

Q: Given the function D= 3x²y - y³z², find the gradient VQ. b. a. 6xyî+ (3x² - 3y²z²)ĵ- 2y³zk…

A: Given, Φ = 3x2y - y3z2

Q: determine the resultant of the following 8.0 N at 40°, 9.0 N at 120°, and 12.0 N at 200° all angles…

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Q: If vox= 7. 50, voy=12.99, tup=1.326, ttotal=2.651, range x=19.88 height =8.61 find the percentage…

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Q: The Duffing oscillator with mass m is described by the non-linear second order DE d? x de + ax + Bx°…

A: An oscillator is described by the non linear second order differential equation : d2xdt2 + αx + βx3…

Q: Find derivative of functions:

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Q: Find the directional derivative of the function f (x; y; z) = xy + yz + zx at M (2; 1; 3) in the…

A: Please see the answer in Step 2

Q: Evaluate the simplest SI unit of K, if K Ft2 m²x2

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Q: Vectar Á has x and y componants of -8.60 cm and 17.0 cm, respactively; vactor K has x and y…

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Q: Let f(x) = 4xe- sin(5x). Find the third derivative of this function. Note e* is denoted as e^x…

A: Derivative of two multiplicative function is given as  (fg)′=f′g+fg′

Q: Evaluate the integral. 5/t +² 2 dt

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Q: Consider the curve described by the parametric equations x = 3 cos t, y = 2 sin t. Compute the slope…

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Q: by I m. They found the girths to be 63 m (at eround level), 5.4 m, 4.6 m, 4.4 m, 4.8 m and 3.9 m,…

A: Solution: Given density of stone = 2800 kg/m3. Circumference of the square base section at ground…

Q: Solve the following system by graphing and verify that your solution satisfies the system. {2x + y…

A: Given : 2x+y=20 x+y=12 In this question we have to find the value of x and y by plotting a graph.

Q: Let C be the plane curve given parametrically by the equations : x(t) = t² - t and y(t) = t² + 2t -…

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Q: Step 1 Rewrite the original integral Therefore, Set دارد) + 16 t (12)2 + 42 (2) ot = (- dt as Step 2…

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Q: Consider the curve described by the parametric equations x = t – 1, y = t? + 3t + 2. For which value…

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Q: Find the unit perpendicular to each of the vectors 2i – j + k and 3i + 4j – k, where I, j, k are…

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Q: Find the simplest SI unit of z, if Z = Fr³r? m³v²

A: Write the given values of this problem.  Let, F=force (kg.m/s2)r=radius mt=time secm=mass…

Q: Find the x- and y-components of  R = 2A − B

A: Write the expression of R for x-component. Substitute the known values and solve as:

Q: If  vox= 7.50, voy= 12.99, tup= 1.326, ttotal=2.651, range x=19.88, height y =8.61  Find the…

A: Solution: Given that Vox= 7.50, Voy= 12.99, tup= 1.326s, ttotal=2.651s, range x=19.88, height y…

Q: P-1 Show the given set of function is orthogonal and find the Norm of the function in given set {cos…

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Q: Case a<r<b : your dA is πr^2 but when you rearrange for E your denominator is 2πε0r^2 where did…

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Q: 1. Compute the divergence and curl of the given vector function: xy2 ,4x² – 3z) 2z F(x, y, z) = (7x…

A: Bartleby's guidelines allowing answer only the first question

Q: Find the elongation of a rod made of aluminum and copper under a tension of 5.8×103 N. The…

A: Given information: Here, R is the radius of the rod, T is the tension, LAl and LCu are the length…

Q: derivative of the given function keeping E fixed in terms of E and T

A: We have a function n(E)=E2eE/T-1. We need to find its derivative with respect to (a) T keeping E…

Q: Find B and t for the space curve below. r(t) = = (4 sin 6t)i + (4 cos 6t)j + 10tk 12 cos 6t -i- 12…

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Q: Consider the curve described by the parametric equations x =t+ cos t, y = 2 – sin t. Compute the…

A: Slope or tangent to a curve in  X-Y plane is given as dY/dX.

Q: If a regular polygon has 18 sides, find the measure of each interior angleand the measure of each…

A: Each interior angle of a n sided polygon will be given by following formula: Take n = 18…

Q: 1- Prove the following relations: ag (1 – 2xt + t*) = (x -1) g(x, t) (1) ag (1 – 2xt + t2)=t g(x,t)…

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Q: . Using the differential length dl, find the length of each of the following segments/curves: a) 2 <…

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Q: Find the mass of the solid bounded by the ry-plane, yz-plane, xz-plane, and the plane (2/3) + (y/4)…

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