find the equation for x in y=3x-x^3

Q: If 0 =. then sec(8) =1 (Write your answer in the simplest form, use fractions whenever applicable

A: Explanation of the answer is as follows

Q: Find the area between the curve y=2 and the chord joining the points (0,1) and (2,4). O 0.5608 O…

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Q: Determine the area of the region bounded by y=2x^2+10 and y = 4x+16

A: Given:          Curve y=2x2+10                     y=4x+16

Q: The position vector r describes the path of an object moving in the xy-plane. Position Vector Point…

A: Let's find.

Q: Use double integration to find the volume of the solid bounded by the paraboloid Z = 9x + y, below…

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Q: n-1 1. b) Determine whether the series is convergent or divergent. If it's convergent, 4" n=1 find…

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Q: 1-sin8 Evaluate the iterated integrals r2 cose dr de A 1 B) 2 D) 3

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Q: Express the iterated integral as an equivalent integral with the order of integration reversed. 30…

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Q: 3. The speed of traffic through the Lincoln Tunnel depends on the density of the traffic. Let S be…

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Q: Directions: Evaluate the derivatives of the following functions with respect to x and simplify the…

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Q: Find the curvature and the radius of curvature at the point t = 0. %3D = e' cos(t), y = e' sin(t), z…

A: Given

Q: Point Func tion h(x.y)-7ycos (x-y) Co,Ti/3) Dn(o,1/3) = %3D

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Q: Find the directional derivative of the function at P in the direction of v. g(x, y) = V x2 + y2,…

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Q: Question 4 Find the approximate area under the curve of f (x) = x< +1 from x = 0 to x = 2, using 4…

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Q: 1- Show that the following subset is a subgroup. H = {o e S, l0(n) = n}cS,

A: We have to show given subset is a subgroup.

Q: The graph of the first derivative f' of a function f is shown. (Assume the function is defined only…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Find the area of the region(s) enclosed by the curve y = |2x - 6|, the x-axis, and the lines x = 0…

A: Given: y=2x-6x=0 and x=4

Q: dx dy =

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Q: Determine the volume generated when the area bounded by the curves y = sin x and y = cos x from x =…

A: Given problem:- Determine the volume generated when the area bounded by the curves y = sin x and y =…

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: 1- sine Evaluate the iterated integrals J. J. r2 cose dr de̟ A ) 1 В 2 (c) o D 3

A: The integration of the double integral is r2Cos(theta).

Q: V4-x² c 3-x2-y² Evaluate the iterated integral. x dz dy dx -5+x²+y² A 128/15 в) 16/89 c) 23/6 6.

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Q: Sketch the region enclosed by the curves and find its area. y = cos 4.x, y = 0, x 8' 4 NOTE: Enter…

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Q: Describe the graph of the equation: r = 5ti – 8j + (1 + 5t)k. [Choose the correct answer.] O The…

A: Given, r= 5ti -8j +(1+5t)k Therefore, The equation is given by, r= &lt;0,-8,1&gt;+t&lt;5,0,5&gt;

Q: Represent the line segment from P to Q by a vector-valued function. (P corresponds to t = 0. Q…

A: Given

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: Find the area of the surface that is generated by revolving the portion of the curve y= x² between x…

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Q: Find the approximate area under the curve of f (x) =cos (5) from x = 0 to x = T, using 4 trapezoids.…

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Q: Find T(t) and N(t) at the given point. x = e' cos t, y = e' sin t, z = t = 0 T(0) = N(0) =

A: Unit tangent and normal vector

Q: Use a triple integral to find the volume of the solid. The solid bounded by the surface y = x and…

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Q: A spring has a natural length of 22in. A force of 16001b stretches the spring to 32 in. How far…

A: We will use rules of spring stretch to solve it.

Q: xe*y dy dx

A:

Q: Question 15 1-sine Evaluate the iterated integrals J. J. p2 cose dr de̟ A 1 В) 2

A: ddθ(sinθ)=cosθ ∫rndr=rn+1n+1, for any real number n.

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

A: Evaluate the iterated integral .

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x3 - y³, P(4,…

A: Given :f=x3-y3

Q: Using the substitution u = sin (x), or otherwise, find the exact value of %3D J sin° (x) cos (x) dx.…

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Q: Evaluate the integral. NOTE: Enter the exact answer. xe* dy dr =

A: the integration of the double integral is xexy.

Q: Evaluate the definite integral that represents the volume of the solid formed by revolving the…

A: Explanation of the answer is as follows

Q: 10. y = 1 11. x' +xsin y = ye" 12. In(x+ y) = tan (xy) sin

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Q: Evaluate the triple integral. xy sin(yz) dV, where G is the rectangular box defined by the…

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Q: first octant 2 4- x+y dy dx -

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Q: Find div F and curl F if F(x, y, z) = 10e"Y i – cos yj+ 8 sin? z k. div F= curl F=

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Q: Consider the following functions. f(x) = 4 sin x g(x) = 4 cos 2x Sketch the region bounded by the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find div F and curl F if F(x, Y, z) = xz°i+ 2y°x²j+ 2z²yk. 6 div F= curl F =

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Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) : = 6ti –…

A: Solution is done in step 2

Q: Find V. (V × F), if F(x, y, z) = e²i+ 3xe"j – 7ev*k. - V · (V × F)

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Q: Question 14 1. 2 Evaluate the iterated integral. J, J. J. (x²+ y² + z?) dx dy dz -1°0 (А) 5 (в) з D)…

A: To find following integral valueI=∫-11∫02∫01(x2+y2+z2)dx.dy.dz

Q: bounded by the graphs of the equat y

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

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Q: Determine the work done by the constant force. The locomotive of a freight train pulls its cars with…

A: Given data÷