Given the DE. 3dy + ydx = (1-2x)y4, Rewrite the DE into Linear Form at v O dx-v = 2x+1 dx-v=2x-1 x+v=2x+1 dv dx +v=2x-1

Q: 4. Find the following limits: (a) (b) 2 lim-3 x-3 - 2 4 3-x 12x - 4x² lim x3+x² - 6x +9 1

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Q: D. Solve the given differential equation by variations of parameters. 1. y" + y = cos² 2. y" + 2y +…

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Q: Find the derivative of the transcendental function. 6e* y' =

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Q: Find the total change of f(x) between x = 1 and x = 4, when 1.25 0.75 0.25 -0.75 df 1 dx x2 =

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Q: An object is moving along a linear path where v(t) = 4t - t². At time t = 1, the position of the…

A: Concept: We have given the velocity v(t)=4t-t2 And the relation between position and velocity is…

Q: VA Find the equation of the curve that passes through the point (1, 0) and has a slope of O = y = y…

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Q: |2x+4| lim x->-2+ √x+2

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Q: 4. 5. 6. I. lim f(x) does not exist. 2-3 II. f has a removable discontinuity at x = -3. I. f has a…

A: We need to determine discontinuity.

Q: 19. I. lim g(x) = 5. z-6 II. g(6) = 5. 20. I. g is continuous at x = 6. II. g has a removable…

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Q: (3) Theorem: The area between the curves y = f(x) and y g(x) and between x = a and y = b is A =…

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Q: (15) Complete the table: fcf(x) dx S[f(x) + g(x)]dx f[f(x) = g(x)]dx fkdx fx" dx f sin(x) dx f…

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Q: how

A: Please refer to the image below

Q: 7. y = tan³ (2³) (A) 3x² sec(2³) tan(x³) (B)-3x2 sec(³) tan(x³) 8. y = cos(5x) (A) sin(5x) (B)-5…

A: Topic = Derivative As per guidelines, At a time only three sub-parts of a question can be answered.

Q: Find the general solution of the following differential equation. (y+2)dx + (x-2)dy = 0 Send…

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

Q: Find f(x) given    f'(x)=(x2-2x+1)/x f(1)=6

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Q: Find the volume of the solid that results when the region enclosed by y = e²x, y=0, x=0, x= ln 5, is…

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Q: What is the average value of f(x) between x = 0 and x = 2 for f(x) = 1.609 0.805 0.693 O 0 2 2x+1 ?

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Q: Use a sum or difference identity to find the exact value. sin 125° cos 65° - cos 125° sin 65°

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Q: Which integral would represent the area shown? The function is f(x) = −(x − 1)³ + 2. 5 4 3- 21 1 2 3…

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Q: 10. Determine whether the following series converges. k 11k4 +1 Σ(-1)+1- k=1

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Q: Evaluate f(7) and f(7.1) and use the results to approximate f '(7). (Round your answer to one…

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Q: Example 3.6.2 Sketch the graph of y = f(x) = (2) Answer: A. The function is not defined at 3, so the…

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Q: . After one​ year,    ________​% of the information is remembered. ​(Round to one decimal place…

A: The function fx=80e-0.3x+20 describes the percentage of information, a particular person remembers x…

Q: (1) Find the area of the region bounded by the curves and draw an illustration y = x² and y = 6x-x².

A: The region bounded by the curves y=x2 and y=6x-x2 Note:    Multiple questions are given we are…

Q: Q1) A-Write an equations for the normal lines on the circle tangent at (x= 1) with (r=√10),c(0,0).…

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Q: (D² + D2)y=e-²x + 3e²x

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Q: Find the area of the region bounded above by y = −x² + 5 and below by y = 1.

A: Given, y=-x2+5 and y=1

Q: The minimum value of N such that the remainder estimate given in the text guarantees that SN…

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Q: f(a+h)-f(x) The expression h and simplify the difference quotient. Find and simplify the difference…

A: The given function is f(x)=6x2-3x+6

Q: Find anti derivative of    3cos(x)-7x4+2x5

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Q: Find the angle between the pair of vectors to the nearest tenth of a degree. (9, -1), (-4,-1) 79.8°…

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Q: Find the component form of the indicated vector. Let u = (3, 1), V =(4,-5). Find 2u + 3v. (14-8)…

A: The objective is to find 2u+3v.

Q: df Find the total change of f(x) between x = 0 and x = 3, when = dx 0.56 1.679 3.332 9.997 3 x+4

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Q: Use identities to write the expression as a single function of x or 0. cos (0+ 270°) cos 0 -sin 0…

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Q: *10 = If it is known that Soº f(x) dx 10 find so f(x) dx J8 17 and №o f(x) dx = 12

A: Given,  ∫010f(x) dx=17 and ∫08f(x) dx=12 To find, ∫810f(x) dx=?

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: A region bounded by f(y) √y + 1, y = 1, y = 4, and x = 1 is shown below. Find the volume of the…

A: The region is bounded by the curves fy=y+1, y=1, y=4 and x=1 we have to find the volume of the solid…

Q: Rewrite F(x) as F(u) using a substitution of variables. F(x) = [ x√√x² + 4dx

A: The given function is:Fx=∫xx2+4dxTo write the function for Fu

Q: JAJ 3 2 1 1 -2 4 A = 10 13 =3(4+6)-2(0+2)+1 = 3 라 = 30-5-25 1-2 = 3 3 4 soat w -21 4 0 -2 3 4 10 -21…

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Q: -1 'Cos'¹x { √(1-x²) } ]¹_dx og. { 1 + (sin (2x√(1-x²))} TT

A: Given data:- ∫cos-1x1-x2-1loge1+sin2x1-x2πdx

Q: f(x) = 3x^3 + 9x^2 + x + 3 Find all possible zeros

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Q: a) [² -da rlnr b) √ JI dr √1-² arcsin x c) / 1+ Leide [" 1+424

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Q: 20. Which of the following is always true about the graph of f(x) on (-1,2)? (A) f(x) has an…

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Q: Graph the function by setting the moving points correctly. Provide your answer below: -10 -5 (-3,0)…

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Q: The base of a three-dimensional figure is bound by the line y = -2x + 5 on the interval [-1, 2].…

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Q: Evaluate the integral: B A None of the given choices O E (3e) 2+1n3 (3e) 3+ sinh2x (3e) 2+ 21n3 3+…

A: Solution is given below:

Q: If the rate of change of Q is directly proportional to Q, and if Q(0) = 100 and Q(4) = 440, find k,…

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Q: Find the curl for the vector field at the given point. F(x, y, z)= 6xyzi+6yj+6zk (6, 7, 6) O…

A: We have to find the curl

Q: Use linear approximation to approximate cubrt(28)

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Q: Try this: sin y dy x dx = y y -sin- +1 x -

A: We use technique of homogeneous differential equation and then variable separable method to solve…