Va – V22 lim x → 22 х — 22 - (Use

Q: 4. y" +y = 2xsinx

A: The given differential equation is  y''+y=2xsin(x)

Q: 5. Find the differential equation of the family of straight lines with slope 1. с. у -130 d. y' +1=0...

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Q: Decide whether the limit exists. If it exists, find its value. O A. 1 Find lim f(x). О в. О OC. 21 A...

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Q: Classify: The weight of a professional boxer. O Dicreet Continuous

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Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to t...

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Q: Determine whether the series converges using the limit comparison test. 6k2 – 2k + 7 Σ 30k6 + k – 30...

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Q: 12 ( In xdx 5 a) Find the smallest K such that | f4) (x)| <K for 5 <x< 12. b) Use the part (a) answe...

A: We have to find smallest valur of k and value of n. 

Q: Let the function f be defined by tan(x) – 1 f(x) = sec(x) (a) Use the Quotient Rule to differentiate...

A: I have stated the used formulas in the solution.

Q: 5. Find the volume of the solids generated by revolving the regions bounded by the curve y = secx ‚y...

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Q: e2a d.x et + 3

A: Given ∫e2xex+3dxSubstitute u=ex+3→dudx=ex→dx=e-xdu= ∫u-3udu= ∫1-3udu= ∫1 du-3 ∫1udu

Q: Given the ellipse x^2/16+ y^2/4=1. What is the area of the largest rectangle that can be cut from th...

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Q: dy = ay + b whose dt Write down a differential equation of the form 17 as t→ oo. 18 solutions all ap...

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Q: A certain drug is being administered intravenously to a hospital patient, Fluid containing 1 mg of t...

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Q: 3. 3, |(a - 1), >-1 The graph of f(r) is shown below. Evaluate lim f(x). y a. The limit does not exi...

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Q: SV-z-2+1, z-2 below, evaluate its limit as z Given the graph of g(z) = approaches -2. 2 3 a. 3 b. 1 ...

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Q: Evaluate the integral. Show all your work. -1 tan (5x)dx

A: Our Aim is to evaluate the integral given below:-∫tan-1 (5x) dx -(i)

Q: A large tank filled with 500 gallons of pure water. Brine containing 2 pounds of salt per gallon i...

A: Let A(t) is pounds of salt in the tank at time t.We know that dAdt=Rin-Rout

Q: Determine whether the alternating series converges. k + 1 | 10k + 1 k=1 O The series converges. O Th...

A: In this question we have to find whether the series is convergent or not.

Q: Evaluate the integral. Show all your work. ( tan-(5r)dr

A: Our Aim is to evaluate the integral given below:-∫tan-1 (5x) dx  -(i)

Q: 4. y" +y = 2xsinx

A: First we will find complimentary function and the perticular function.

Q: Combine the sum of the two iterated integrals into a single iterated integral by converting to polar...

A: Given problem:-

Q: 8. What is the particular solution of 2xyy' =1+y?, when x = 2, y = 3 ? a. y=V5x –1 c. y =V5x +2 b. y...

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Q: What is the integrating factor of the differential equation y' =cscx-ycotx ?

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Q: Evaluate the integral. Show all your work. -1 tan (5x)dx

A: This question is based on integral by parts.

Q: 1 Consider the sequence defined implicitly by a1 = 1 and a, = 1+ an-1 (a) Write out the first four t...

A: We will find the first fours terms by the given function and limit.

Q: An angle measures 2.1 radians and the initial ray of the angle points in the 3-o'clock direction. A ...

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Q: Find the solution of the given initial value problem. ty' + 3y = t – t+ 5, y(1) = 3, t > 0 y =

A: ty' +3y=t2-t+5  

Q: cos (In4x2) dx

A: Topic:- integration

Q: Find the point of minimum values of the function f(x,y) = 2x^(2) + 3y^(2) − 4x − 5 on the domain x^(...

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Q: 10. The following equations are exact except a. (2xy – y)dx + (x² – x)dy = 0 b. 2xydx + (y? +x² )dy ...

A: The differential equation of the form Mdx + Ndy=0   is exact  when ∂M∂y=∂N∂x

Q: 2.(D³ – 2D³ 2D² – 3D – 2) y = 0

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Q: Activity 2: Determine the equations of the normal at each of the points indicated 1. f(x) = x² + 3x ...

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Q: integral (7+ sin t)l cos t dt Evaluate the 21 using the substitution u = 7+ sin t. | (7+ sin t) Cos ...

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Q: 2x+10 dr 1²(x – 4) Evaluate

A: Indefinite integral

Q: Question 2 ( sin (x) + sin(x) cos²(x) To evaluate the -dx using basic formula of integration (withou...

A: Topic  -  integration Ans   1.496 

Q: Use the double integral to find the volume of the tetrahedron bounded by the planes x + y + z = 3, x...

A: x + y+ z =3 z = 3 - x - y   The base of the tetrahedron (X-Y plane)is bounded by, x=3y, x + y = 3, x...

Q: INTEGRATE THE FOLLOWING FUNCTIC PROBLEM 1: int. sin^3 y cos y dy

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Q: Find the area of the region bounded by the graphs of the equation y = x and y= x².

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Q: Solve the given differential eqnation. All solutions should be found. dy 3z- 7y-y da 72+3zy² NOTE: D...

A: This question is based on solution of exact differential equation.

Q: Identify and draw a sketch of the surface having the equation z = 3x^2.       parabola       parabol...

A: Find your answer below 

Q: 14. What is the particular solution of the linear differential equation y' = x° - 2xy; when x = 1, y...

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

Q: The monthly total cost function for a product is C(X) = 500x + 0.1x + 17,590 dollars, and the monthl...

A: 1.)C(x) =500x+0.1x2+17590R(x) =1000x-0.01x2Break even point⇒ C(x) =R(x)Units = 35 , 4510  

Q: Find a set of parametric equations of the line through the point (1,-2, 3) and perpendicular to the ...

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Q: the ratio test to determine whether the series converges. If the test is inconclusive, then say so. ...

A: Please refer to the image below 

Q: 3. y/" + 6y + 8y 3e-2 + 2x

A: To find out the solution of the given differential equation. 

Q: The value of k so that (y³ +kxy* – 2x)dx + (3xy? +20x?y³ )dy = 0is an exact equa is: а. 10 С. -5 b. ...

A: A differential equation of the form Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 00 (-1)*+1 Σ 7...

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Q: Which one of the given differential equations is not separable? O y' = f(x)g(y) f(y) y' g(æ) f(x) y'...

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Q: Solve the given differential equati1on. All solutions should be found. dy 25 – 2y dx NOTE: Use c for...

A: The given differential equation is; dy/dx=(x5-2y)/x2.

Q: x4 4x3 – 4 4 f(x) a) Determine the intervals on which f is concave up and concave down. f is concave...

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