Let f(x) = x² + Vx & g(x) = x2 determine (fog)(x) & (gof)(x) and its domain

Q: Use the properties of logarithms and the fact that In(2) z 0.6931 and In(3) x 1.0986, to approximate...

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Q: Suppose the vector t has magnitude 21 and makes an angle of 228° with the positive x-axis (measured ...

A: Given,  Magnitude=21, angle=228°   Recall:  Formula:     a=(magnitude)(cos(angle)), b=(magnitude)(si...

Q: dy Given the equation below, find da 18a8 + 4a30y+ y? = 23 dy dx Now, find the equation of the tange...

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the s...

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Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer.

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Q: A lithotripter is used to disintegrate kidney stones. The patient is placed within an elliptical dev...

A: We have to find the distance between the electrode and the kidney stone in order to shatter the ston...

Q: A courier service will deliver a package only if the length plus girth does not exceed 96 inches. Fi...

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Q: Answer each question appropriately. Find a curve y f(x) with the following properties: %3D i. = 9x %...

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Q: Evaluate the line integral, where C is the given curve. 1 ,C:x =t*, y = t", sis1

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Q: e. (1+ x²)dy + (1 + x²)²ydx = xe¯*dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) 8 dz zV 49z2 - 25

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Q: Differentiate y = 1 - 8z VI

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: -4x dx | xe

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Q: Find the limit, if it exist

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Q: Consider the function f(x) = 4x – 6x + 11, 0 < x < 6. - The absolute maximum of f (x) (on the given ...

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Q: 4 A hyperbola has asymptotes of y = 4 x+ 9. The vertices are 14 units apart 4and y T- %3D and lie on...

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Q: Let f(x) = 4.x³+ 2x 10 and g(x) = x3. (a) Prove that f(x) is O(g(r)). (b) Prove that 9(x) is O(f(x))...

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Q: An engineer erects a 120 foot cellular telephone tower. Find the angle of the elevation to the top o...

A: NOTE: Refresh your page if you can't see any equations. . here we have AB=120 feet (height of the t...

Q: Evaluate the line integral, where C is the given curve. Sc zdx + xdy + ydz C: x = t?, y = t^, z = t?...

A: Solve the given integral.

Q: lim x1/x X→00 lim x→1+ [ln x х-1] lim (x + 1)cotx X→0+

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

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Q: Find the componet form of v given its magnitude and the angle it makes with the positive x-axis. ma...

A: Given query is to find compounded of the v.

Q: 2. Using the ratio test, determine whether the following series are convergent or divergent: 1 1 1 (...

A: Explanation of the solution is given below....

Q: Write the exponential equation as a logarithmic equation. (Do not use "..." in your answer.) e0.25 =...

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Q: 2a? Find lim а->-га* — а — 2 a→-1¯ a

A: Here we have to find lima→-1-2a2a2-a-2

Q: For which of the following functions is the chain rule an appropriate method to find the derivative ...

A: We have to find out   

Q: n=1

A: Calculate radius of convergence and interval of convergence in the following way:-

Q: The population P (in thousands) of Charlotte, North Carolina from 1980 through 2013 can be modeled b...

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Q: Q Evaluate the double integral /| -3(xe-*") dA, J. R = [0, 1] × [0, 2] %3D

A: The given double integral is: I=∫∫R-3xe-xydA            over the region  R=0,1×0,2

Q: 14.2 Limits A fxn is continvous if

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Q: What is the derivative of e^-x

A: Given query is to find derivative of e-x 

Q: Find an equation of the tangent line to the curve y=3 arccos(x/2) at the point (1, pi

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Q: 3) Write the first four terms in the expansion of the binomial series for f(x) = and simplify V(1+x)...

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Q: Reduce each of the following equations to standard form then sketch the graph of each. If the equati...

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Q: Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x. %3D y = co...

A: This question is related to differentiation, We will solve it using given information.

Q: 2y(x +y+ 2)dx + (y² – x² – 4x – 1)dy = 0; when x = 0, y = 1

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here we h...

Q: the terminal side of angle θ in standard position passes through the point (−24‚11), then the value ...

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Q: Find f such that the given conditions are satisfied. f'(x) = x - , f(0) = 8 f(x) = =x3/2 - 2x + 8 %3...

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Q: If y = 3e-2* , then dy dx 3 (A -24e-2r B -6e-2r C) 48e-2r (D) -216e-6x ||

A: Given, y =3e-2x We have to find d3ydx3

Q: lim xex メ→0 2x + x²+3x-4

A: Topic = Limits

Q: An arrow is shot from 5 ft above the top of a hill with a vertical upward velocity of 108 ft/s. If i...

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Q: d'y If y = 3e-2a, then dæ3 (A) -24e-2x B -6e-2x (C 48e-2x D -216e-6x ||

A: The given equation is: y=3e-2x...(1)

Q: Find a formula for the inverse of the function: f(x)=x^2+x, x>=-1/2

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Q: Simplify the right side. sin? 60 V cos 6e sin 68 de = cos/2 60 - COS 60 sin 68 de

A: We have the integral: ∫sin26θcos6θ sin6θdθ

Q: 11. Prove that cos(sin^-1x)=sqrt(1-x^2) for -1<=x<=1.

A: Since you have asked multiple question, we will solve the first question for you. If youwant any spe...

Q: Find the following anti-derivatives. Round all definite integrals to four decimal places. 5. dx 2.

A: Given query is to find the value of the integral.

Q: In n 2 n n=1

A: Given the series

Q: (9- Evaluate: 3 SV 9–x² x² + y² + z² dz dx dy using spherical coordinates. 9–x² O 817

A: In Spherical coordinate system, ∫∫∫ f(x,y,z)dV = ∫θ1θ2∫φ1φ2∫ρ1ρ2fρsinφ cosθ, ρsinφ sinθ, ρcosφ ρ2sin...

Q: Зх -5 S(x) = 2x? — х —3 х-3

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Q: Use variation of parameters method to solve b. y" + y = tan x

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