Exercises: Differentiate each function with respect to x. 1. y = (x³ + 3)5 2. y = (-3x5 + 1)3 3. y = (-5x³ – 3)3

Q: Polyno (-x6+ x5+7x2 -9) / (x4)

A: Devide each term

Q: Determine whether the series is convergent or divergent. Write the exact TEST that you use. 9. ens n...

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Q: tan x[cot x – cos x]dx |

A: Topic:- integration and trigonometry

Q: Find the first derivative of the given functions: 1.)  x=(Arcsinh(1-b))2   2.) y=e-xcosh ln(x)

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Q: dy given the equation a+y° = e. dz Use implicit differentiation to determine dy %3D dz > Next Questi...

A: dfx±gxdx = d(f(x))dx± dgxdx dxndx=n.xn-1 dexdx=ex

Q: Find the directional deriva tive OF the Function at the point P (!,) in the dlinection V= -i

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Q: I Eliminate the arbitrary constants -2x 2X Y = C,e cos 2× + Ge sin 3X

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Q: Question The position of a hummingbird flying along a straight line is given by the function s(t) = ...

A: Here, to find the interval when the hummingbird speeding up.  

Q: A boat is pulled toward a pier by means of a taut cable. If the boat is 20 ft below the level of the...

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Q: Is the differential equation linear? dy dx = x8y + sin(x)

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Q: Question 8 1 4n2 – 8n + 3 convergent divergent Question 9 WI

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Q: Watch help video Given the function f(x) = 3x – 18x², determine all intervals on which f is both inc...

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Q: Let o = IT Find the directional derivative Du t (x, y) OF f (Xiy) = 3x² y - 4xy3+ 3y²-4x at (3,4) in...

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Q: 2x = y + 2 2 2y = z + 2z = x + 2

A: Given that: 2x=y+2y   .............(1)2y=z+2z   .............(2)2z=x+2x   .............(3) We have t...

Q: The half-life of cesium-137 is 30 years. Suppose we have a 130 mg sample. (a) Find the mass (in mg) ...

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Q: 3. Let p = 31. Evaluate L3(24).

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Q: a. Find the derivative function f' for the function f. b. Find an equation of the line tangent to th...

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Q: Find the vertical asymptotes of the rational function. g(x) = 5x x +6 x = -6 x = 5 x = 6 none

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Q: +00 2 -1)"+1(3n)! 3n+1

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Q: Let f(x) = 9 cos(cos x) f'(x) =

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Q: Solve the following equation on the interval [0,2) a. V3cosecsce = 2cos0 11. b. 2 sin2 x - 7sinx + 3...

A: a) 3 cosθ cscθ=2 cosθb) 2sin2x-7sinx+3=0

Q: You want to build a 1000 square foot rectangular infinity pool. Three of the sides will have regular...

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Q: Find the following using the table below. 1 2 3 4 f(x) f'(x) g(x) 3 1 4 2 1 4 2 3 4 1 4 2 (x),6 3. 2...

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Q: dy Find where y = sec-' (V3x³). dx

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Q: Assume that all the given functions have continuous second-order partial derivatives. If z = f(x, y)...

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Q: Given g(x) = 3x-1 – 2 A) State the parent function f(x) = %3D B) Describe the transformations: Confi...

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Q: Question 6 P Consider a room in the shape of a 4 m cube, 4 meters on each side. A bug at point P wan...

A: Given problem:-

Q: graphing calculator is recommended. Find the following, rounded to two decimal places. (Enter your ...

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Q: Calculate the amount of money​ you'll have at the end of the indicated time period. You invest ​$400...

A: Given query is to find the amount after 8 years.

Q: maximize 2= 1.8x, t H,2X2 Subgect to: 2.8X + 3.4x2= 21 1.4x1 +2.2x2 s 11 w+し ×、=o,メ2 Mo what is the ...

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Q: I Find the second derivative(y") of the following functions and simplify the final results. 4. y = x...

A: 4 y = xcosx now fist derivative y' = x(cosx-1)cosx(-sinx) y' = (-1/2)sin2x x(cosx-1) now again diffe...

Q: x' +3x² +3x+1 (i) Find lim x→1 2x° +3x² – 1

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Q: Given the function f(x) = x – 15x², find all x-values where f has an inflection point.

A: Solution is written in below steps.

Q: Find any horizontal and vertical asymptotes for the function. (Enter your answers as a comma-separat...

A: Given y=x+1x2-16 We have to find horizontal and vertical asymptotes.

Q: Linear Approximation (Level 1) Mar 20, 10:00:24 PM Watch help video Let f be a differentiable functi...

A: Given query is to find the value of f(4.2).

Q: Let f be a differentiable function such that f (2) What is the approximation for f(1.8) found by usi...

A: Given query is to find the value of f(1.8).

Q: differential equation .2x 2

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Q: Change the Cartesian integral into an equivalent polar integral. 2 2 a -x 00 S SO dy dx = dr de 2 2 ...

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Q: How many items are demanded at a price of $30?

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and indica...

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Q: Given the triangle below, find sin(0). Enter the answer as a fraction. 17 15 0. 8

A: Find your answer below 

Q: Question Find an algebraic expression equal to sin(sec- (5x + 1)). (You may assume that -5 < sec- (5...

A: We are given expression . Now,                  sinarcsec5x+1Use the following identity: sinarcsecx=...

Q: Use the formula for S, to find the sum of the first four terms of the following geometric sequence. ...

A: Explained below 

Q: OFind the linearization L (1, y) of the function f (z, y) = /176 – 4,' - 16y at %3D L (z, y) = Note:...

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Q: (1-x+2x²-x³ -dx x(x²+1)²

A: NOTE: Refresh your page if you can't see any equations. . first, we need to use the partial fractio...

Q: The demand function for beer is given below, where p is the retail price and  D(p)  is the demand in...

A: The demand function for beer is given below, where p is the retail price and  D(p)  is the demand in...

Q: The figure shows the region of integration for the integral. P(x, y, z) dz dy dx Rewrite this integr...

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Q: 13 2 3 Find the exact value of sin20 given cos0 = and < e < 2n Find the eract value of cos?A givon c...

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Q: A particle moves along the x-axis, its position given by r(t) t> 0, where t is measured in seconds a...

A: Given

Q: Solve the differential equation by using integrating factors. (x + 2)y' = 6x + y y(x) =

A: Here, the given DE is: (x+2)y'=6x+y⇒y'=6x+yx+2⇒y'=6xx+2+yx+2⇒dydx-yx+2=6xx+2 which is a linear DE wi...