5. Which of the following functions grows the slowest as x goes to infinity?

Q: √√√x- S: z 12, x² + y² ≤ 1 Evaluate (x - 2y + z) ds.

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Q: 1. Simplify the following: a) b) 8 45x X 3 15y 20y 18x 2 (x² − 9) 5 2 x+5x +6

A: Recall: a2-b2=(a+b)(a-b)

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

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Q: 5 (x²-4)

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Q: 3. Evaluate f(x) = 15 – ½ (x) for f (4). a) 16 b) 14 c) 13 d) none of the above

A: 3.  This is a problem of polynomial.  Here given a polynomial f(x) and find f(4).

Q: Use series to evaluate lim X→0 ex-(1+x) 4x² lim X→0 (Type a simplified fraction.) ex-(1+x) 2 4x²

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Q: The shaded region between the graphs of y x I I - 2x² + 20 and y = 3x - 15 is displayed below in 25…

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Q: 2. Which expression represents the volume of the rectangular prism shown? 2x - 3 a) (2x - 3) + (3x +…

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Q: Find the indefinite integral on the domain of positive real numbers. Enter an exact answer. Remember…

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Q: 4. Consider the vector a=(-2,3,-1). [ [K/U] Find the magnitude of the vector ä. b) Find an unit…

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Q: Find a unit vector that is orthogonal to both = (1, 1, 9) and v = Enter vector brackets using the…

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Q: f(x) 3. What does lim = 0 show? X→∞ g(x) O g(x) grows faster than f(x) as x goes to infinity. Of(x)…

A: The given limit is limx→∞fxgx=0

Q: · (b + c) = ² 7. Prove that à. = a · b + ac for all a, b, c € R³.

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Q: 5 ΣΕ j=1

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Q: Solve the differential equation dy dx y²+7xy+16x² x² O a. x - y = O b. x + y 5 (y + 4x) In y O C. X…

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Q: What are the associated roots forR (x) in the differential equationy''- y = R(x) where R(x) = 4cosx?…

A: Given differential equation:- y"-y = R(x) Where R(x) = 4 cosx

Q: Pls answer fast 2+2

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Q: 5) Show that to order O(h²), the central difference formula for the partial derivative მ3u(x,t) əx3…

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Q: 4. 5⁰ -x² xe dx

A: Given Problem:- ∫0∞xe-x2dx

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y=6√x + 7 x dy

A: To find the differential dy of the given function.y=6x+7x

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Q: The regions A, B, C, and D in the figure below are bounded by the graph of the function f and the…

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Q: Find the gradient vector field (F(x, y, z)) of f(x, y, z) = ln(x + 5y + 6z). F(x, y, z) = =

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Q: 1,-1, 3), 6 = 2-(0, 5, -2) Find 52 +22-46 C a Let a = O (5, 1, 1) *(5, 7, -1) O(18, 35, 12) O(-14,…

A: Topic:- application of algebra

Q: Introduction to Calculus in Economics (continued): In the previous Problem Set question, we started…

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Q: Convert x2+y2= 26 to an equation in polar coordinates in terms of ? and ?.

A: The given equation is x2+y2=26 we have to convert this equation into polar coordinate in terms of r…

Q: Let à = (-5, 4, Find the projection proja b =< 4) and b = (-4, 0, -1). of b onto a. -

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Q: Consider the vector whose initial point is P(-6, 1) and terminal point is Q(-5, -3). Find the…

A: Recall: Position vector v→=a, b where a=x2-x1 , b=y2-y1 We have (x1, y1)=(-6, 1) and (x2, y2)=(-5,…

Q: Evaluate the definite Integral. Use a graphing utility to verify your result. [² (u - ) du

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Q: = Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: Set up the definite integral required to find the area of the region between the graph of y = 17 -…

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Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. (2423-4x) dx = [

A: Here we will solve the indefinite integral,

Q: d) f(a) = (2a-1)² 2a + 5a

A: Solution ) f (a) = ( 2a - 1 )2/2a  + 5a  We know that  ( a - b )2 = a2 - 2ab + b2 f(a) = (4a2 - 4a +…

Q: 2022" + n 2022 (d) lim sin 2022! + n!

A: Apply the limits to solve

Q: Solve the differential equation xdy]=0 xdx +sin? (%) [yde 4x ln || - 2y + x sin ( ² ) = 0 2x a. 2y…

A: Given :   xdx+sin2yxydx-xdy=0

Q: 8. Evaluate F. dr using Stoke's theorem when F = (2xy — x²)ī — x² − y² )ī and C is the boundary of…

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Q: Find the area of the shaded region

A: The objective is to find the area of the shaded region.

Q: The function f is shown below. What is the value of answer in simplest form. -10 -9 -8 -7 -6 -5 4 3…

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Q: SEND IN 20 MINUTES PLEASE !!!! Find all extreme points (maxima, minima, saddle points) of…

A: Extreme points of the function fx, y=2x3 + 2y3 - 9x2 +3y2 - 12y

Q: e) fx³ √2x² +1 dx wil(-) {. ub f CP

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Q: What is the general solution to the the differential equation 3y''-y' - 2y=0? (2/2)

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