Simplify the expression by first getting common denominator, then pulling out any common factors in the numerator, and finally expanding and/or combining like terms from the remaining factor. 8(4x + 1)²³²1/x²+x+(4x + 1)5

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A: Let's find angle between two plane.

Q: 3. A function f(x) satisfies the inequality 1-<f(x) < 1 + tan² x, when x →0. Using the Sandwich…

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Q: Find the area of the segment cut off from the curve y = sinx, 0≤x≤nt by the line y = 1/√2. HT 1/2 y…

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Q: Q2: Find dy/dx for the following functions:- (1) y = x³ Inx (2) y=√sinh √tan x (4) y=u=3x²-2 (3) 4x²…

A: As per guidelines we can answer only three subpart questions at a time, so if you need more answers…

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A: Topic = Differential equation

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Q: 8. (a) Compute the roots of the quadratic polynomial s² + 2s + 5. (b) Is the polynomial s2 + 2s +5…

A: Given quadratic polynomials2+2s+5a.Discriminant,D=b2-4acD=22-4×1×5D=-16D&lt;0so, this quadratic…

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A: we have f(x,y) = xlnx -ylny

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A: Note :- “Since you have posted a question with multiple sub-parts, we will solve first three…

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Q: 2. y' ysecx

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Q: Find the values of m and n that make f(x) continuous over (-∞, ∞): f(x) = m= n= 4 x-2 mx² - nx 2x -…

A: Topic- Limits and continuity

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Q: Prove the identity. sin (x-y) = tanx-tany cosx cosy Note that each Statement must be based on a Rule…

A: To prove the identity.

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Q: Please

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Q: Show the complete solutions. Family of horizontal parabolas whose h to k ratio is 2.

A: Let's find differential equation.

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A: Note- since you have asked multiple question but according to bartleby guideline i only have to…

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Q: Find f(x) + g(x), f(x) g(x), f(x) · g(x),. F(x) ,f(g(x)), and g(f(x)), if defined. See Example 5.…

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Q: Evaluate the integral by interpreting it in terms of areas: [*(5-32) dx =

A: Lets sketch the graph of  f(x) = 5-3x and add the vertical lines x=0 and x=4  we get

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Q: Determine r'(x) if r(x) = (4*)6. Select the correct answer below: Or'(x) = 6(4*) 5 Or'(x) = 46x (4ln…

A: Solve the following

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A: Let f be a differentiable function with f1=3. The graph of f', the derivative of f, is shown below.…

Q: d'y 2) Find the dr for the function y = secx. Reminder: combine all similar terms.

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Q: Prove the following mathematical ?x аф -у, ӘӨ дz relationships: f sin 0 r

A: According to the Bartleby guidelines, I'm solving the first one, please repost the other question…

Q: Determine which is the pure time differential equation, which is the autonomous differential and…

A: Given equations:  dfdt=e-t2                 ............................(1) y'=3y+y2…

Q: 1. f(x) = (x (x+1 if x ≤ 0 if x>0

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Q: 6. Let f(x) = -5x¹ and g(x) = 2x + x. If h is the function defined by h(x) = f(g(x)), which of the…

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Q: Eliminate C from the equation y=3x²+ Ce=2x. Ay'-2y-6x²+6x=0 B) y'- 2y + 6x² - 6x=0 Ⓒ2y+y'+3x²+6x=0…

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Q: Solve the Differential Equations. 4. f(x,y) x² + 3xy x-2y

A: Let's find function homogeneity.

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A: The Solution is given below

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Q: Which of the following is true in solving the initial value problem=x³—4—3e³¹,y=1whenx=0 ? A --4x-e³…

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Q: Which differential equation follows the form A (x) dx +B(y) dy=0? ysinxdx-2xcosydy=0 B There is no…

A: Check for all the options.

Q: Help with problem C please.

A: Topic:- function and derivatives

Q: lim x→2 f(x), where f(x) =    10  −  2x    if x < 2 x2  −  x    if x ≥ 2

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Q: By using the iterative formula Xn+1 and xo = O O 0.3652 O 1.3652 O2.6352 = 1.5, then the value of x5…

A: Find the value

Q: Let h(x) = f(x) + g(x). If f(x) = 2x² and g(x) = 8x5, what is h'(x)? Do not include "h' (x) =" in…

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