4. Sw-2 + 10w-5 - 8 dw

Q: Let f(x) = (2- . 2x) and g(x) = 8x + 1. %3D Find g(f(x)). 08(2³ 0 8(2° – 2x)' +1 O (8x + 1) - 2(8r +...

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Q: using the substitution u = cos(x). cos (x) sin(x) dx = +C

A: Topic:- integration

Q: z+2 dz cot (z²+4z-3)

A: To evaluate: I=∫z+2cot(z2+4z-3)dz⇒z=12∫2z+4cot(z2+4z-3)dz...(1)

Q: A company's revenue from car sales, C (in thousands of dollars), is a function of advertising expend...

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Q: Let g(x, y) = cos(x + 2y). (a) Evaluate g(4, −2).   g(4, −2) = (b) Find the domain of g. −2 ...

A: Let's find. 

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

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Q: c. Consider the function h(x) = 0.4 sin(0.8x) + 6. i. What is the period of h? radians Preview ii. W...

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Q: Use appropriate substitution to reduce the following equation to a variable separable and then Зх + ...

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Q: as neatly as possible. Show computations y equation.

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Q: 11. The value of k so that (y +kxy –- 2x)dx + (3xy? + 20x°y³ )dy = 0is an exact equation is: C. -5 d...

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want ...

Q: he integrating factor to the linear differential equation x(x² +1)y' +2y = (x² +1)° is:

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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: need

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Q: 4.Find the volume of solid generated by revolving the regions bounded by the curve y = cos(÷)y, -2< ...

A: Let's find. 

Q: b. Which, if any, of the above changes in population can be modeled by a linear function? Show all w...

A: Given:   

Q: The following integral will be evaluated using integration by parts with the indicated choices of u ...

A: The objective of the question is evaluate the indefinite integral by parts.

Q: 2 sin (t) cos (t)d J

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Q: 2. Which of the following is a correct classification of the differential equation xy" +2(y')* – y =...

A: We have to classify given differential equation.

Q: If 8x – 19 < f(x) < x² + 4x – 15 determine lim f(x) x→2 What theorem did you use to arrive at your a...

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Q: Draw a direction field for the given differential equation. Based on the direction field, determine ...

A: first we have to put y' = 0 to find the equilibrium solutions of the equation.  then we will get t =...

Q: dy Which of the following functions can be used as an integrating factor to transform the differenti...

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Q: What is the particular solution of the linear differential equatio y' = x° – 2xy; when x = 1, y = 1?...

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Q: Given sin(x?y²) + y³ = x + y , using implicit differentiation for partial derivative show dy that dx...

A: Implicit derivative dydx of sinx2y2+y3=x+y

Q: 1. The value of k so that (y +kxy -2x)dx +(3xy2 +20x°y )dy = 0is an exact equation is: С. -5 d. 15 а...

A: Given problem:- The value of k so that (y² +kxy - 2x)dx +(3xy² + 20x²y³ )dy = 0 is an exact equation

Q: Determine the form of a particular solution for each differential equation. No need to solve for the...

A: Given that the differential equation is      2y"'-3y"-3y'+2y = (ex+e-x)2 

Q: Identify (a) the point(s) of inflection and (b) the intervals where the function is concave up or co...

A: From the graph: the inflection point: (0,-1)  

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. – 1)k+1 Σ 5k k...

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Q: Which of the following is a correct classification of the differential equation: xyl" + 2(y')* – y =...

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Q: d) h(t) = sin ( arc(cos t))

A: The given problem is solved below in detail. Given h(t)=sin(arc(cost))

Q: Given the vectors ā = (2, – 1, 3), b = PQ where P(1, 1, 1) and Q(5, 1, – 1) and Ĉ = i + j + 3k. Find...

A: It is given that, a→=2,-1,3, b→=PQ→ where P(1,1,1) and Q(5,1,-1) and  c→= i→+ j→+3 k→ a) 7b→-3c→b) T...

Q: 18. What is the integrating factor of the differential equation y'=cscx-ycotx ? a. tan x c. sinx b. ...

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Q: If two coins are tossed, what is the probability of obtaining at least 1 head?

A: Given two coins are tossed let H denote the head on coin  and T  denote the tail

Q: y = tan In(x + sin x) %3D y = sin x + In sin e* %3D

A: y=tan ln(x+sinx) y=sinx+ln sinex

Q: Determine whether the alternating series converges. 00 k + 1 9k + 1 k=1 O The series diverges. O The...

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Q: INTEGRATE THE FOLLOWING FUNCTION. secvtanvdv PROBLEM I: 4 secv +3

A: Topic:- integration  Note :- as per our guideline if more than one question uploaded than only first...

Q: Compute gcd(2365, 7683).

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Q: Given the region bounded by y= x^3 ,x = 2, and the x-axis (in Quadrant I) is rotated about the line ...

A: Given problem:- Given the region bounded by y=x3 ,X = 2, and the x-axis (in Quadrant I) is rotated a...

Q: A point starts at (x, y) = (4.8, 0) and moves CCW along a circular path centered at (x, y) = (0, 0)....

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Q: Write the first five terms of the sequence: {Vn² + 10n Determine whether the sequence converges, and...

A: Given problem:-

Q: . In the linear differential equation of the form, P. (x)y(n) +Pp-1 (x)yln-) +...+P-1 (x)y' +P, (x)y...

A: Topic:- differential Equations  

Q: 1 in sigma notation, the Taylor series for about x = 3 is En =0(-1)"+(x- 3)". x+2 True False

A: This is a problem related to differentiation of the function. By using taylor series concept first w...

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: cos (In4x2) dx

A: Topic:- integration

Q: Find the solution of the given initial value problem in explicit form. 1 y/ = (1 – 5x)y² , y(0) %3D ...

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Q: the limit definition to find the slope of the tangent line to the graph of f at the given point. f(...

A: Given query is to find the slope of the tangent.

Q: What is the particular solution of the linear differential equation yl = x³ – 2xy; when x = 1, y =1?...

A: Let's find.

Q: i. List and classify critical points of f as relative maxima, minima, or neither. j. Find the volume...

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Q: B. Determine the intervals wherein the function is continuous and the values of x wherein there is d...

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Q: Calculate the following: a) -4 / j^9  and  4 / 2j^13

A: Topic:- complete number 

Q: egration * Messenger Jizzes/128846/take Upload Choose a File Question 4 4. Evaluate dx. Upload Choos...

A: Integrate it.