1 Draw the region over which we are integrating, change the order of integration (that is, write this integral as an integral first after dx, then after dy), and compute the integral: 4-x (x +y)²dy dx,

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Q: 000 A В 010 110) 100 111 101 011 001

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A: Note : As per our guidelines we are supposed to answer only one question if there are multiple quest...

Q: Determine the coefficient of the 5th term of the Maclaurin series expansion of f (x) = 2 e 4! 51

A: f(x) = x2 e-x f0(x) = x2 e-x f0(0) = 0 f1(x) = -x2 e-x+ 2x e-x f1(0) = 0 f2(x) =(x2 -4x+2) e-x f2(0)...

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A: Continuity

Q: Activity 1. In this ULO, we have leamed how to use critical points, first derivative test and second...

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Q: The equation of the tangent line to the curve y at the point (2, 5. written in point-slope form is:

A: find equation of tangent line

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A: We have to solve the integration

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Q: 5xdx 4+3x2 3dx 7-6х+3x2 5xdx V7- x2

A: We put 4+3x2=t and defferentiate both sides with respect to t and solve the integral. For 1st follow...

Q: 5. lim f(x) = +0, lim f(x) = 0 and f(-1) = 0 6. lim f(x) = +00, lim f(x) = 0 and f(-1) = -1 %3D -1+ ...

A: Note: As per our company's guidelines we are supposed to answer three sub-parts of the question. Kin...

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

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Q: 2x2+4x+4 Estimate the area of the curve y = 2 from x = 1 to x = 3 by using 5 rectangles and right en...

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Q: solutions using Integrating Factors Found by Inspection a. ydx + 2(y^4 − x)dy = 0 b. y(x^3 e^xy − ...

A: A detailed solution is given below

Q: Activity 2. Evaluate the following limits by applying the different Limit Theorems discussed. 1. lim...

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Q: - Solve each equation and identify the non-permissible values. Record the answers as exact val x 7 a...

A: a.x4-7x=3x2-284x=3x2-28=12xx2-12x-28=0x2-14x+2x-28=0x(x-14)+2(x-14)=0(x+2)(x-14)=0x+2=0 ⇒ x=-2x-14=0...

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Q: 2. Will the limit of all polynomial functions / (x) as x approaches a be always equal to the value o...

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Q: Which of the following integration expression can be transformed into integral of power (Ju"du). (c ...

A: A

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Q: Find the slope of the curve r = at 0 2+cos 0 O -1.155 O None of these O-1.551 O -1.515 2.

A: I am attaching image so that you understand each and every step.

Q: Obtain the solution using Integrating Factors Found by Formulas 1. 2(2y2 + 5xy – 2y + 4)dx + x(2x + ...

A: A detailed solution is given below.   (As per our guidelines, we have to solve only 1st question)

Q: e6x _4e' —6х lim x→-0o 2e3x-5e-9x+e-3x

A: Topic:- calculus

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Q: Show that (sec x) = sec x tan x. dx Note: You may assume it is known that (sin x) = cos x and :(cos ...

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Q: Q1) A- solve the following function and show type of interval: 1) 3X < 5X –8 2) 2X2 + 9X + 4 20

A: We can solve these kind of inequalities by using direct simplification and wavy curve method.

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(r) = V9r + ...

A: Given:       fx=9x+5 at x=1  Instantaneous rate of change :    If y=fx, the instantaneous rate of ch...

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Q: gles WS1 (9.6A) Use the information given about the angle 6, 0ses 2n, to find the exact value of: a....

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Q: A. Find the derivative of each function. 1. f(2) = 5x(3x - 6) 2. f(x) = (3x + 4)(2x² – 6) 3. g(x) = ...

A: As per the guidelines I am supposed to do the first three subparts of a multipart question. To get t...

Q: Let f(x) = 62? – 9. f(x) – f(a) Using the definition of derivative at a point, f'(a) = lim x - a ent...

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Q: 1.) f(x) = 2x³ + 3x² – 12x – 7 %3D |

A: We can sketch the curve  of a function by using the first derivative and second  derivative .