The slope of the tangent line at any point (x, y) on a curve is 2vx. If the point (9, 3) is on the curve, find an equation of the curve.

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A: Function is said to be increasing if slope of graph in that range is positive and for decreasing fun...

Q: dy Find dx y=4(sec x + tan x)( sec x- tan x).

A: Here, the given function is: y=4(sec x+tan x)(sec x-tan x)  =4(sec2x-tan2x)  =4(1)             (beca...

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A: Given query is to find the indicated derivative.

Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x. ...

A: This question can be solved using the derivative of function of function.

Q: Section 3.7 p. 343/345 # 364 Determine whether the improper integrals converge or diverge. If possib...

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Q: these equations have complex characteristic roots. Find the general solution in each case.  a.y'' +...

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliary...

Q: If the brakes on a car can give the car a constant negative acceleration of 2k m/s2 , where k is a p...

A: Here is the solution

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Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x = 2, ...

A: We have to find volume of revolution about x ax

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Q: d?y =6- 9x and which passes through the points (0, – 1) and (2, 3) - Find the equation of the curve ...

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

A: Given:   ∫17x-1x2+16 dx

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Q: t 9dz 9dz The infinity in the can be eliminated by lim (1– 3z)4 (1- 3z)4

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Q: Consider a particle moving along the x-axis where x(t) is the position of the particle at time t, x'...

A: According to the problem, we have

Q: True or False; In the partial fraction decomposition, x + 8 A В D + x(x – 1)(x + 3) х — 1 x + 3 - we...

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Q: Find the area c

A: Here we used the integration for finding the area

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Q: 2sin x -1 y = cosx +2

A: Basic identities of trigonometry and differentiation are used

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Q: 4. Consider the surface S parametrized by R(u, v) = (uv, sin u, cos v). Find an equation for %3D the...

A: The given curve S is parametrized by: R→(u,v)=uv,sin u,cos v Now, to find the equation of the tangen...

Q: What is the integrable form of et dx? e-e-X

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Q: For each part, use a short sentence to explain why the expression does not make sense. S, So e* cos(...

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Q: of dr? e-ex

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Q: dx J V3 – 2x – x2

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Q: TC If f(x) =, then f tan x II

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Q: 00 sinn Does the series (- 1)" : 2 converge absolutely, converge conditionally, or diverge? n= 1

A: First I have written the definition of Absolutely CONVERGENT series and then show that given series ...

Q: What is the additive inverse of the complex number 3-7?

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Q: Vhich of the following integrals is equal to the integral f(3x - 5) dr?

A: Use simple integration concept.

Q: dx 1. S- x Vx2 -9

A: According to the guidelines in case of multiple questions, We are only supposed to solve first quest...

Q: 2+x 9 y = Arctan(- 1-2x

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Q: Find the volume of the solid formed by rotating the region enclosed by x = 0, x = 1, y = 0, y = 7+ x...

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Q: 5. y = xArctanx - In V1+x 6. y = In (e* + e*)

A: topic-second derivative of a function

Q: The planes I. and II, have equations IL : 6y+5z =-19, 5 II,: -x -4y+7z =1. State the normal vector o...

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Q: A company produces computers. The demand equation for this computer is given by p(g) = - 5g + 6500. ...

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Q: Raggs, Ltd a clothing firm, determines that in order to sell x suits, the price per suit must be p= ...

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Q: A pine tree growing on a hillside makes a 76°angle with the hill. From a point 83 feet up the​ hill,...

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Q: A particle is moving with the given data. Find the position of the particle. a(t) = 2t + 3, s(0) = 2...

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Q: Find the area of the region bounded by the curve y= 1--x² and the x-axis. 9. A 6 square units B) 0 c...

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Q: C(x) = 1500 + 13x – 0.1x2 + 0.0005x3. - %3D Find the marginal inal cost finctien?

A: Given query is to find the marginal cost function.

Q: I ind the second derivative(y") of the following functions and simplify the final results. 1. y = x3...

A: Given y=tan-12+x1-2x To find y'':

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Q: 10t2 Suppose the height of an object is given by h(t) = experiment begins. 8t + 3 meters, t seconds ...

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Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x = 2, ...

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Q: To evaluate the integral 2х — 1 dx x2 – 16 we use the partial fraction decomposition of the integran...

A: Need to find the partial fraction that will use to evaluate the integral ∫2x-1x2-16 dx.

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Q: 1. The velocity of a plane is modeled by v(t) = –1+ cos (+ 3 sin (), measured in miles per minute, f...

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Q: any method to determine if the series converges or diverges. Give reasons for your answer. 00 3 3 Σ ...

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