Find the derivative of the following functions. Whenever possible, express answer in factored form. 4. y = x²(1+2x) 4

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: Solution

Q: F(x) = x³ - 2x² b) manipulate the function algebraically and differentiate without 2x2 alsolve with…

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A:

Q: 2. Find dx/dy if y = √√√1+√x -4√√√√1+√T 4√√√1+√I

A: Given: So,      dydx=1+x'        =121+x1+x'        =121+x·12x        =14x1+x

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A: Given that : The bookshelf takes one box of screws, two 2 ✕ 4's, and three sheets of plywood. The…

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A: Our Aim is to find the double derivativey" of the function given below:-y=x2x+13 -(i)

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Q: 3 2 Find the interval of convexity of the function f(x)= x + 3x - 4 D a.xEE-1, +00) b. x € (-1,-00)…

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Q: 3. xlny + ylnx = 1 a. y = y = x Y + x x² In x-y y² ln y - x y' = O b. xlny + y yylnx+x ( 21 x y = y…

A: Given,

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A: Given equation:- Gt=-72+t2

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Q: Q3. Differentiate f(x, y) = xy² + √√x+y² 2

A: f(x,y)=xy2+x+y2

Q: A دے 1. Graph the following pairs of functions. What is the domain of each? Where are the vertical…

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Q: =O 2. (6x+y²) dx + (2xy-3y²) dy

A: Given differential equation, (6x+y²)dx+(2xy-3y²)dy=0...(i) Comparing (i) with Mdx+Ndy=0 we get,…

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A: A function is called convex if its double derivative is positive OR any line formed by joining any…

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A: Given differential equation:- 6x+y2dx+y2x-3ydy=0

Q: Directions: Consider the following function f(x) at a = 4. f(x) = -2x - 10 Part 1 - Difference…

A: Here we have to solve the 3 parts

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A: We know, d/dx (m*xn)=mn(x)n-1 for any real numbers m,n

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Q: HW, on Tuesday, September 21, 2021 Ⓒ S Trigonometric Substitution dx 2 x² +9

A: Here we have to find the integration.

Q: General solution 1. y = cx+c²+1 2. y² = 4ax 3. y = 4 + ce³x dy dx Answer (ODE) y=xy' + (y)² +1…

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Q: 0 -2 ex+1 dx 7- ex+1

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

Q: Evaluate the following integral. S S e 5x e 5x 5x e +6 5x+6 -dx -dx = ***

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Q: Consider the curve defined by x² + xy + 2y² = 8 dy (a) Use the formula for implicit differentiation…

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Q: 4. y=x+c₁e* + C2e-* y" -y + x = 0

A: Since you have posted multiple question, I can do first question as per our company guidelines.…

Q: UPVOTE

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A: Given data:- The given angle,  ∠ABC=75°45'∠BAC=84°37' The distance between A to B is 5 m.

Q: Let f(x) = {ax² (2x + b differentiable (a) 1 at x = 1. x ≤ 1 x>1 (b)-1 . Find a so that f is (c) 2…

A: Here is the solution:

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Q: Directions: Consider the following function f(x). f(x) = 3x³ - 5x Part 1 - Difference Quotient If h…

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: y=3x5-4x3-5x2

Q: modeled by the following function. f(t)= 40t +100 220 -80t+860 60 a. 7 am if 0≤t≤3 if 3<t≤8 if…

A: Topic:- function

Q: y = sin (3x)

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A: given y=x+4

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Q: 1/2 4x³ 4x-3 5. S₁13 +2 -2 X - X dx

A: Let's solve given integration.

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: Given y=3x2+43

Q: a Ső 8 ea - e X a dx

A: ∫0aexa-e-xadx=∫0aexadx-∫0ae-xadx=ae-1-a1-1e=ea+-2e+1ea

Q: ply) = secly) + e ² Find p'ly)

A: Solve for the derivative

Q: Solve AABC subject to the given conditions, if possible. Round the lengths of the sides and measures…

A: We can find the answers in the below steps.