Make an ORIGINAL EXAMPLE OF "Variable Separable" A) GIVEN B)SOLUTION C) ANSWER D) WITH EXPLANATION I WILL UPVOTE IF IT IS ORIGINAL, TYPEWRITTEN, AND MADE WELL.

Q: 618 x 99 6182

A: using simple multiplication

Q: 89. y √3+ Vy 1- √5 3 √r + √2 5 95. Vx² + 1 - x 91. 91-96 Rationalize Numerator Rationalize the…

A: 94) [sqrt(x)-sqrt(x+h)]/[h sqrt(x) sqrt(x+h)].   95) sqrt(x2+1) -x 96) sqrt(x+1) - sqrt(x).

Q: 1. Solve the following IVP and find the interval of validity for the solution. y = 5y +e-2xy-2, y(0)…

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Q: What is the final answer here. Please write the letter.

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Q: For the constant numbers a and b, use the substitution a = a cos² u + b sin² u, for 0 <u<, to show…

A: Given data:- x=acos2u+bsin2u ∫dxx-ab-x=2arctanx-ab-x+c

Q: Find the limit times x-6- (x-6) 2

A: Given problem:- limx→6-1x-62

Q: Solutions

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) =…

A: Understanding of function and how to calculate its derivative is required in order to solve this…

Q: Suppose f'(x)=√√/1 + 2x¹. d da -f(8x): d dx f(2x¹) = [

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Q: (-7)=|

A: Topic:- derivatives

Q: y (8x² + 11x-4) 1¹0

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Q: Solve (x5 + 3y) dx - xdy = 0. O 2y = x^5 + cx^3 O 2y = -x^5 + cx^3 O 2x = y^5 + cx^3 O 2x = -y^5 +…

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Q: Find the average rate of change of the function over the given interval. P(0)=03-202 +40; [3,4] ΔΡ…

A: Given query is to find the average rate of change.

Q: A business buys a computer system for $12000. The value of the system is depreciating and decreases…

A: We need to find out the value at the end of 3 years.

Q: (d) The area of the triangle AKMN is A=25-√√3 in². If <MKN = 30°, find |KN|=|MN|= ?

A: Given , A(∆KMN)=253.|KN|=|MN|∠MKN=30°

Q: Find dx 1 (a) COS (b) (c) when y = sin(loga (bx + c)), where a, b, and c are constants. b In a (bx +…

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Q: (2xy-3x²) dx + (x² + 2y) dy = 0 2

A: Given differential equation:- 2xy-3x2dx+x2+2ydy=0

Q: II. Find the equation of the normal line to the curves at the point of tangency, if given. 2. y x²-4…

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Q: Evaluate the following integrals 16 ³√/1+√√/x dx √x a) 16 b) S dx x+Vxn-m where m and n are natural…

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Q: f(x)=x^3(x+3) *differentiate the function

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

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Q: y = ln(5x² + 7x + 4)

A: Given y=ln5x2+7x+4

Q: Using the limit-ratio test, showt that a) 3n+2 lg n+1 = 0(2¹gn) b) 2 = (n² + 2n)

A: The following results will be used for the given asymptotic relations will be used: Consider two…

Q: Use this table about differentiable functions f and g to answer the following. x f(x) | f'(x) g(x)…

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Q: Based on the given table of data, compute each of the following derivatives (fog)'(2) (gof)(4) = X 2…

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Q: Acceleration of a Car The distance s (in feet) covered by a car t seconds after starting is given by…

A: Given that the distance s (in feet) covered by a car t seconds after startingis given by the…

Q: Find the scalar equation of the line = (-3,4)+1(4,-1)

A: Given query is to find the scalar equation of the line.

Q: A tank initially holds 200 gal of brine solution containing 3 lb of salt. At t=0, another brine…

A: Let's solve given problem. Solve for time t = ?.

Q: A certain bacteria culture is known to grown at a rate proportional to the number of bacteria…

A: Let Persent number of bacteria =x Rate of grown number of bacteria=dxdt

Q: 1. Find the equation of the tangent line to the given curves at point of tangency, if given. 2. y =…

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Q: 2. Sketch a graph of f(x) = -2(x+1) ³-6 by using a sequence of transformations of a well-known…

A: NOTE: Refresh your page if you can't see any equations. . the given function is a cubic function…

Q: 2. Find the following limits without using a graphing calculator or tables. x-5 a)lim x-5 2x²-9x-5 -…

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Q: D Question 8 In the Four-Step Rule, why is the cancellation of the Ax terms allowed even if Ax→ 0 is…

A: Solution

Q: F(x)= x³-2x² 3 2x Manipulate the function algebraically and differentiate without using the quotient…

A: Topic = Derivative

Q: A radioactive material decays at a rate proportional to its amount. if the material has a half-life…

A: Given:If the material hs a half-life of 30 minutes To find what percent of the original msss is…

Q: > Question 4 Which of the following statements is true? The slope of the tangent line to the curve y…

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Q: 5. y = (2+ x)²(1-x)'

A: We need to find out the derivative of the function.

Q: Find an integrating factor for the D.E. (2xy³ – 2x ³y ³ − 4xy² + 2x) dx + ( 3x²y² + 4y) dy = 0

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Q: A free-falling object falls from rest and has a weight of 89 N. The force due to air resistance (in…

A: Option A is correct the detailed explanation is given below

Q: Find 원 when ax + cos(by) = c, where a, b and c are constants. b (a) —-cscy (c)csc(by) b (b) -…

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Q: How does the x^4 and the 3x^3 become to 4x^3 + 9x^2. I understand how you got 4x^3 but not the 9x^2.…

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

Q: tal derivatives of the following function dz: z = 4x² - 3xy + 2y², where x = (CW P.193, Exercise…

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Q: Given the demand equation x = 9+ 21 p' Elasticity of Demand = Therefore, demand is where p…

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Q: d²y dx² x = csc² (at) and y = cot(at), Find given the set of parametric equations (a) -tan² (at)…

A: Solution )

Q: Sketch two periods of the graph for the following function. x + π) TU m(x) = 2 csc -X 3

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Q: The weekly demand for Math Wars - The Force Multiplies video games is given by Р 420 x - 6 +4000…

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Q: DERIVATIVE AS VELOCITY AND ACCELERATION Solve for the unknown/s 3. A particle moves horizontally…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the following derivatives. Express your answer in terms of the independent variables. 3x-3z 2y…

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Q: 3 dx - (3xsiny + 2ysiny-2) dy=

A: Let's solve given differential equation.

Q: 4. An object is moved along the line from the point (1, 2, 1) into the origin (distance is in…

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