1) 3) (x-3)² (v-4)² + 16 196 (x + 1)² (y-8)² + 9 81 = 1 = 1

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A: As equation is an homogeneous differential equation then put y =vx and solve.

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A: Given :∫012aya2-y232dy

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Q: 6. Evaluate In (x - In (r-...))dr in terms of some new variable t (do not simplify).

A: Given :- ∫ ln(x-ln(x-.....) dx in terms of some new variable t

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A: Given,  y=u2-1u2+1

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Q: Let f(u) = ³√u and g(x) = u = 2 + 12x². Find (fog)(1). (fog)'(1) = (Type an exact answer.)

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A: Given query is to find the area under the curve.

Q: IF y = u* + 3u² & u = 3x Find dy dX

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Q: 8) Maximize the function f(x, y) = 16-r² - y² subject to the constraint x + y = 6

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Q: y=x²

A: I have stated the used formula in the solution

Q: dy II. Use the Inverse Function Rule to find (show your complete solution) dx 1. x = y + y² + y³

A: Given

Q: Which of the following equations does not represent an ellipse? * x² + 2y² - 16 = 0 Option 1 x² +…

A: topic - equation of ellipse

Q: C. Find y for the following: 1) y = x¹e³x tanx e4x 2) y = x³ cos2x 3) y = xx.sinx

A: Given: (1)  y = x4e3xtanx (2)  y = e4xx3cos2x (3)   y = xx· sinx

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A: We need to fill answers.

Q: S x dx √16-9x4

A: Topic = Integration

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A: Please see the below picture for detailed solution.

Q: Consider the following function: Step 2 of 3: Find f Answer f(x, y) = (4x + 3y)

A: I have stated the used formula and the property in the solution

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Q: Compute the directional derivative and gradient of at (2,-1,0) in the direction of the unit vector…

A: Dot product of A.B is ad+be+cf where A=<a,b,c> and B=<d,e,f>.

Q: 1–2 = For each of the following functions given by power series, find f'(x) and f f(x) dx. Do not…

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Q: Find the equation of a tangent line to the curve y= 2x3 - 3x² - 10x + 1 which is perpendicular to…

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Q: Find the first three terms of Maclaurin series for F(x) = In (x+3)(x+3)²

A: A Maclaurin series is a special case of a Taylor series, obtained by putting x = 0 i.e.,

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Q: 6x-1 b) f(x) = (3x+5)*

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Q: Evaluate. Then interpret the result in terms of the area above and/or below the x-axis. 을 √(x²-3x)…

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Q: Suppose x² y² = x + 17y x = y Find 17 x + y x² + y² + 1

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Q: The best method applicable to find the volume of the region bounded by .x = -y² and x=y-6 revolved…

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Q: i. Using Desmos graphing software or Desmos graphing mobile, create the graph of the following limit…

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Q: Finding the rate of change of the function defined by y = x³ and evaluating it at x=9 units yields…

A: topic - rate of change of function

Q: 2. √√√x + y + xy = 21

A: We have to find out derivative

Q: 2. On the wall of Mr. Piamonte's house, a 6 meter picture was hung so that its location is 5 meters…

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Q: Let y = f(x). Which of the following statement is TRUE? O None of the above O Let f(x) = -2x + 4. If…

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Q: of Taylor series for F(x) = Sin(pnx) + ex-p, about

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Q: Find y = x-6 dx dx

A: Given,y=x-6                                                             (1)…

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A: The given function is f(x)=xx2+30.................................................. (1)…

Q: x + y + z = 1 2 + 2 + 2 = 2 3 + 13 + 23 = 3 = 7 5 + + 5 + 2 9 = ? =

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Q: IF y = u+ + 3u2 & u = 2x Find dx

A: Chain Rule of differentiation : If y=f(u) and u= g(x) , then         dydx =dydu.dudx

Q: In Problems 1-4, find the Laplace transform of the given function. Determine a condition on s that…

A: To find the laplace transform of the given function.

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Q: Determine the intervals on which the function is concave up or down and find the points of…

A: solution:-f(x)=6x3-11x2+1f'(x)=ddx6x3-11x2+1=18x2-22xf''(x)=d2dx26x3-11x2+1=36x-22

Q: y = ecos x tan x

A: Given:       y = ecosx tanx

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Q: Which of the following is not true? C 4dx 4dx A So √X(X+6) = lim So c+∞ ¹0 √x(x+6) 5 dx dx B S = lim…

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