Find the Taylor series expansion of f(x) = x – x³ at a = -2 Select the correct response: 6 – 11(x + 2) + 12(x+ 2)² – 6(x + 2)3 6+ 11(x+ 2) + 6(x+2)² + (x + 2)³ 6 + 11(x+ 2) + 12(x+ 2)² + 6(x+2)3 6 – 11(x+ 2) +6(x+2)² – (x + 2)³

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A: Part A,             rt=cos5t,sin5tTo find : r'π4  

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A: Given: A conical water tank has a radius of 5 cm at the top and 20 cm high.  Water flows into a tank...

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Q: Question 19 Find the focus of the parabola 4x +24=8y-y?. A (-1,– 2) B (-3, 4) (-음4) D (-6, - 2)

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Q: Q2: z = cos3xsin4y+2x²y az az azz a²z a2z Find : дх' ду' дх ду 'дхду

A: Given  z=cos3x sin4y+2x2y Differentiating partially with respect to x and y , we get ∂z∂x=(-3sin 3x)...

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Q: Homogeneous Differential Equations (11) (x – y)dx + xdy = 0 (12) (x sin- y cos) dx + x cos 2 dy = 0 ...

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A: FOLLOW THE PROCEDURE GIVEN BELOW.

Q: Section 2.2 p. 150/152 # 58 58 Derive the formula for the volume of a sphere using the slicing metho...

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Q: operty. -7(4y - 9) - 7(4y - 9) = (Simplify your answer.)

A: SOLUTION-

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Q: 4

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Q: Solve the differential equation (y¯+ y)dx - (y¯+ 2xy + x) dy = 0. If y = 1 when x = 3, determine x w...

A: Topic:- differential equations

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A: Here we have to use the completing square method

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Q: 7. Evaluate the integral I | sin(9.r² + 4y²)dA by hand, using an appropriate change of variables, wh...

A: The given question can be solved as shown in step2

Q: e' sin 0 dy 8. de 7.3:8 Solve the differential equation y sec 0

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Q: A population of bacteria grows at a rate proportional to the number of bacteria at the time. There w...

A: Given that:                      Bacteria growth rate is proportional to the number of bacteria at t...

Q: 5. Consider the graph of f (x) shown. Does the lim f (x) exist? Is the function continuous at x=3? E...

A: This question is related to limit and continuity,  we will solve it using given information. 

Q: find the average value of the function on the given interval 7T 5. COS on 0, 6. sin x on (0, 7)

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Q: Find the general solution of * yV - 2y" + 10y" = 0

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question.Please r...

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Q: Solve the following second-order differential equation: y" + 4y/ + 5y = 8x sin x

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Q: Activity 5: Read and answer each item carefully. Show your answ heet. 1. Use table of values to find...

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Q: Consider the function f(x) = -6x2 + 4x – 6. (a) Find all critical numbers c of f. c= (b) The local m...

A: topic - application of derivatives

Q: 6. On the corresponding grids, draw any curve that satisfies the given conditions. A function where ...

A: Solution is given below:

Q: Find the derivative of the vector function r(t)=ta×(b+tc), where a=⟨3,−2,−3⟩, b=⟨1,3,−2⟩, and c=⟨−2,...

A: To find the derivative of the vector function, rt=ta×b+tcWhere, a=3, -2, -3, b=1, 3, -2, and, c=-2, ...

Q: Question 9 = sin20 +C, then f (0) =-cos20. 2 A True B) False

A: topic - derivative

Q: 3. Calculate the area of the region R enclosed within the following boundaries: (x² + (y – 1)² < 1 y...

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Q: t f(x) = 2x - 3 and g(x) = x + 5. %3D a. 2. g(x) = 2( x + 5) = 2x + %3D b. 5 g(x) = 5(_) = 5x +, %3D...

A: Given f(x) = 2x-3 and g(x) = x+5                a)     2.g(x)=2(x+5)                    = 2x+10 b)  ...

Q: Variable Separable (8) dx dy e 3x+2y; Provide the explicit solution (9) secx dy = sec 2ydx

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Q: Consider the triangle formed by joining the points (0, 0), (A, B) and (C, 0) as depicted below. (A, ...

A: NOTE: Refresh your page if you can't see any equations. .

Q: Compute the resulting error in the function f (x) = x³ for value x = 2.38 with an error Ax = 0.005.

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Q: Find the general solution of y" - 3y' + 2y = 2e*

A: y"-3y'+2y=2exAuxillary equation is D2-3D+2=0m2-3m+2=0m2-2m-m+2=0m(m-2)-1(m-2)=0(m-1)(m-2)=0⇒ m=1,2co...

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Q: 69x420

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Q: Find y''' (3rd derivative) of y = sin^2 (tan(6e^x))

A: Here,              We have given a function and we have to find its 3rd derivative.         So , the...