Make an ORIGINAL EXAMPLE OF "Variable Separable" A) GIVEN B) SOLUTION C) ANSWER D) WITH EXPLANATION

Q: (3y2+5x2) dx dx + 2xydy=0

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Q: Q3. Differentiate f(x,y) = xy² + √x+y² 2 1/1

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Q: (d). ANS: lim an an = sin() n = 1. (Use l'Hôpital's rule to show that limg-00 sin(1/2) 1/2 = 1.) =

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

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Q: allons/minute (gpm) into the tank. Water discharges through an outlet in the tank, but this only…

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Q: Do NOT use the difference quotient, find the derivatives via formula. f(x)= 4√x7

A: To be found :  the derivatives via formula. f(x)= 4√x7

Q: Consider the function f(x) = sinx near x = πt. Find the linear approximation error when using the…

A: Given data:- The given function, f(x)=Sinx     x=π

Q: iderivatives) Find the antiderivatives of the following functions: f(x)=x²-²/+³ f(x) = e-2x - e-…

A: Note:- According to the company policy we are supposed to solve only three subparts so please upload…

Q: x--5 3. lim_log₂ (x) x-15

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Q: List the first five terms of the sequence. n³ - 9 a₁ a2 a3 a4 a5 = = = = an = n OLL

A: Solve the given

Q: Solve and show all the steps in the Application of the Differential Equations 1.) Newton's Law of…

A: Given:   The DE for Newton's Law of cooling/Warming is         dTdt=kT-Tm        dTT-Tm=kdt…

Q: II. Find the equation of the normal line to the curves at the point of tangency, if given. 1. y…

A: Recall: The slope of tangent line to the curve y is, mT=y'x0,y0 The equation of the normal line is,…

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

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Q: 2. Find the equation of the curve whose slope at any point *-2 and 3-y passes through (-1, 1).

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Q: d Let Arctan² (3e) dx ke*Arctan(f(x)) g(x) Compute kf (0) - g (0) - 3

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

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Q: Solve for the unknown/s. 1. A particle moves horizontally according to the laws the laws--12r+1.…

A: Topic:- application of derivatives   Note:- as per our guideline if more than one question uploaded…

Q: General Direction: • Evaluate the limit of the following transcendental functions using TABLE OF…

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Q: Given the demand equation p + = 16, where p represents the price in dollars and x the number of…

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Q: Given the functions below, find the domain of (fog) (z). 1(z)- 27-29(x) - √5x+30 Select the correct…

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Q: A right circular cone with radius r and slant height / has surface area given by A = nr² + nrl. When…

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Q: Directions: Consider the following function f(x). Part 1 - Difference Quotient That is: If h = 0,…

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Q: f(0) =2, lim f(x) = 2, lim f(x)= lim f(x) = ∞o, lim f(x)= ∞o, and lim f(x) = -00 X4±8 x+37 x-3* X-3+…

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Q: Find(x(ax+b)), where a and b are constants (a) x(ax+b) ax(1 + ln x) (b) x(ax+b) (x + ax ln x + b)…

A: To find:ddxxax+b

Q: General Direction: • Evaluate the limit of the following transcendental functions using TABLE OF…

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

Q: y = sin (3x)

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Q: Cos X- cosy Jax-sinxsiny dy=2

A: A differential equation of the form Mdx+Ndy=0 called exact differential equation if ∂M∂y=∂N∂x and…

Q: Find an equation of the parabola with vertex (2,-4) and focus (2, -7). 5 믐

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Q: 3. (y²-2xy +6x) dx- (x²-2xy +2)dy=0

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Q: 2. A log is dragged along the ground using a 120N force on a rope attached to the log and making a…

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Q: Write an equation for line L in point-slope form and slope-intercept form. L is perpendicular to y =…

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

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

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

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

Q: Evaluate the derivative. y=x* y' = (Type an exact answer.)

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Q: Two functions f and g are given. Show that the growth rate of the linear function is constant and…

A: Given ; f(t)=40+8.5t g(t)=40et/8.

Q: Q3. hyperbola has vertices (-5,-1) and (3,-1) and foci (-6,-1) and (4,-1) Sketch the hyperbola a) b)…

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Q: Use the graph off to determine each of the following (a) the domain off (b) the range of f (c) the…

A: determine the following by using graph

Q: Kindly answer 6 and 7

A: Need to find out that the given differential equation is exact or not.

Q: Given: f(x) = 2x² O 0 (E) 2 1 3x + 1 and g(x)=√x+6. Find the limit: lim, 4 g (f (x)]

A: Given: fx=2x2-3x+1 and gx=x+63   To calculate the limit: limx→4gfx.

Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

A: See this solution in below.

Q: The point P(3, 20) lies on the curve y = x² + x + 8. If Q is the point (x, x² + x + 8), find the…

A: Given P(3,20)y=x2+x+8Q(x,x2+x+8)

Q: How much more does Karla earn than Bert? tA $ Package Delivery Driver Salaries Misha $39,731 Charles…

A: Given Data: Package delivery driver salaries Misha $ 39,731 Charles $ 41,189 Bert $ 42,098…

Q: Find the first partial derivatives of the function W = 5ze xyz 1. 2. 3. δω dx Iw მყ δω əz = =…

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Q: 2 Given tane = find csc0, cos0, sec, cot0, sinė if 0 is in Quadrant III. 3

A: Given  tan θ = 23.

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,

Q: Find the first partial derivatives of (Z). 4x f(x, y, z) = Caution: ay/bx and ay/(bx) are very…

A: Given partial derivative, zx,y,z=z.arctan-y4x

Q: Solve the equation xy dx - (x + lint: Homogeneous Equation

A: Given differential equation xydx-(x+2y)2dy=0 Which can be rewritten as  dydx=xy(x+2y)2 or…

Q: y = 3x³-2 5x243

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Q: 1. Solve the following first order ordinary differential equations: dy_2x+6y-1 (a) = dx x + 3y + 2

A: The given differential equation is; dy/dx=(2x+6y-1)/(x+3y+2). Repost the next questions.