If  f(x) = 3x + 4 and g(x) = 5 x,  find f(g(x)) and g(f(x)). f(g(x)) =        g(f(x)) =

Q: Suppose at 10n and n(1) = -2. Answer the following. 8) Separate the differential equation, then…

A: Topic:- application of integration and differential equations     Note:- as per our guideline if…

Q: £f*. S: z = 18, x² + y² ≤ 1 Evaluate (x - 2y + z) ds.

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Q: Given the vector field F(x,y) = [x/((x^+y^2)^(3/2)), y/((x^+y^2)^(3/2))], Find a fucntion f(x,y)…

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Q: volume is described as follows: 1.  the base is the region bounded by y=4−4x^2 and y=0 2.  every…

A: answer is in next step.

Q: Evaluate the following limit using L'Hospital's rule. lim (e5z - 2.x) (+) I+0+

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Q: Find a power series representation for the function. (Give your power series representation centered…

A: answer is in next step.

Q: Use either integration by substitution or integration by parts as needed to evaluate S³= A B x²+1…

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Q: 2x + 5 Consider the function f(x) 52+1 For this function there are two important intervals: (-∞, A)…

A: A function f is increasing on the interval I if f'(x)>0 for every x in I A function f is…

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

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Q: Q2. A circle with centre C has equation x² + y² 10y + 20 = 0. (a) By completing the square, express…

A: The objective of the question is determine the general circle equation ,centre and radius.

Q: -5 -4 -3 -2 15 -30- -45 -60- -75 -90 -105- -120- -135- J 2 For the above quartic polynomial f(x):…

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Q: Let x = 6.99999.... (a) Is x 7 X = 7 O x < 7 and x = 7 O It cannot be determined. (b) Sum a…

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Q: Find the volume of a pyramid with height 29 and rectangular base with dimensions 6 and 9 using…

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Q: Suppose de cos 0 sin³0. Answer the following. 6) Separate the differential equation, then integrate…

A: answer is in next step.

Q: A cylindrical can is being filled at the rate of dh = 3t², h(t) describes the height of the…

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Q: 1. Testing convergence for an alternating series. (a) Carefully determine the convergence of the…

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Q: Let R be the region bounded by y=x², x=1, and y = 0. Use the shell method to find the volume of the…

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Q: Use the Integral Test to determine the convergence or divergence of the following series, or state…

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Q: Find the solution of the initial-value problem of xy ³ √1+x²¹ y' = - y(0) = = -1

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Q: Find an explicit formula for the sequence defined recursively such that a₁ -4 and an = an-1 + 6.

A: We have to find the explicit formula

Q: 2. If y = C₁ cos2x+C₂ sin 2x+2sin x is the general solution of a certain nonhomogeneous LDE, which…

A: The given general solution of non-homogeenous  LDE.  y= c1cos2x +c2sin2x +2sinx   We have to find…

Q: For the function, locate any absolute extreme points over the given interval. g(x) = −3x2 + 14.9x −…

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Q: 13. g(x) = x¹nx

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Q: Find all numbers c that satisfy the conclusion of the mean value theorem. f(x) = 2x2 - 5x + 1, [0,2

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Q: Given the function f(x) = 4x² - 8x + 11, determine the inverse relation.

A: To find the inverse relation of the given function.

Q: Find the standard form of the equation of the ellipse and give the location of its foci. Ay 6 G Type…

A: Standard form of an ellipse : (x-h)2a2+(y-k)2b2=1 ; where , (h,k) is the center and a&gt;b .

Q: 3x + 8 Consider the function f(x) = . For this function there are two important intervals: (-∞, A)…

A: Find out the value of A at which the function is not defined.

Q: Find the solution to the differential equation =(2x + y cos xy) dx + x cosxydy = 0

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Q: 5″ Use the limit comparison test to determine whether the series converges or diverges.

A: We have to check  the seris convergence or divergence

Q: Rewrite the following as a sum of trigonometric functions with no powers greater than 1. cos² (2x) =…

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Q: Work Problem 3 (.. : b) Using the Lagrange multipliers method find the extreme value(s) (if it…

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Q: Rewrite the following equation with the variables separated. y' + x + xy = yex + ex FA Rewrite the…

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Q: If you are given the rate of change of a function f, and an interval, what is the total change over…

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Q: The graph of the derivative f' of a function f is shown. y = f'(x) y. 0 2 4 6 X

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Q: Question 3 dz Find the partial derivative for the function z = 20y²√x. dy C ay az ay N GE - 201 az =…

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Q: 7. xcos2y dx + tan y dy = 0

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Q: cos xdx 54-sin²x

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Q: 5. Evaluate each of the following inte x² (53+1)3 (5 (a) da

A: We have to find the solution As per guidelines we have to solve one question Please repost other…

Q: Use integration by parts to evaluate [x²mx In x dx

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Q: Suppose a population of P(t) satisfies dP dt 0.4P - 0.001P² P(0) = 50 a What is the carrying…

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Q: Which of the following direction field will represent the differentia equation y = y + 1

A: To find which direction field will represent the given differential equation.

Q: Find the derivative of f(x, y) = e- x ln(y² + 1) at the point R(4,0) in the direction of w = (2, 1).

A: NOTE: Refresh your page if you can't see any equations. . the given vector is find the unit vector

Q: lim X→∞0 lim x118 √11+4x² 2 + 11x √11+ 4x² 2 + 11x = =

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Q: Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute…

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Q: Determine whether the following series converges. 8 5(-1)k Σ 5k+6 k=0 Let ak 20 represent the…

A: The given series is ∑k=0∞5-1k5k+6

Q: For the function, locate any absolute extreme points over the given interval. (Round your answers to…

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Q: cit ++ -3 it -15- -30 -45 -60 -75- -90 -105 -120- -135- <x< N ton For the above quartic polynomial…

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Q: Consider the function f(x) = 2√x+1 on the interval [4, 7]. Find the average or mean slope o the…

A: We will find the required.

Q: Use the Laplace transform to solve the following initial value problem: y' + 7y - 18y=0 y(0) = 1,…

A: As per guidelines, I can answer maximum three sub parts of a question. Since you have asked for…

Q: Find the intercepts and the vertical asymptote of   f(x)=x2−4x−5/x−6 Enter the intercepts as…

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