6. S COSX dx sin2x

Q: Suppose that a particular function f satisfies f" (x) = 12x? + 6x + 8, ƒ(0) = 1, f' (0) = –1. Then…

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Q: Determine the maximum value of f (x) = 5x – e5x [T:3] on the interval [-1,1] %3D

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Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the…

A: The given question has been solved in detail

Q: Evaluate the definite integral: I Va de

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Q: In Exercises 19 through 22, find the direction cosines of the vector V(P,P2) and check the answers b…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Let yu + 3v+7 =2. Complete parts (a) through (c) below. du (a) Find the derivative dv du dy

A: Note: As part (a) is only attached solved that for you.

Q: Show by integration that the volume of a sphere of radius r is V=4/3 πr³

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Q: - 1)°dx X

A: To evaluate the given integral.

Q: 25. Let OP be the position representation of vector A, 0Q be the position representation of vector…

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Q: Apply some trigonometric identities, then integration by

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Q: answer all for an upvote

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Q: Use the shell Method to find the volume of the solid generated by revolving the area bounded by the…

A: Given: x=4y-y2 ; y=x   Now find the point of the intersection between the given curve and line.…

Q: х—1 dx c4 –1

A: Basic integration is done.

Q: -............... ...................... ..…

A: Solution is here

Q: Find the limit. Use l'Hospital's Rule if it is appropriate. If there is a more elementary method,…

A: Find your answer below

Q: S(x + e*)²dx

A: We have to find value of given Integral.

Q: The piecewise function f(x) is graphed below. Use geometric formulas to evaluate the following…

A: From the given graph;

Q: A 60 cm piece of wire is used to create a circle and an equilateral triangle. How should the wire be…

A: Let the perimeter of equilateral triangle be P of side a.Let the circumference of circle be C with…

Q: For each sign chart for f'. Carefully sketch the graph of both functions f and f'. Upload your work…

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Q: Given the function f(x)%3D 2x2 f(x + h) - f(x) Find the difference quotient h f(r + h) – f(x) Find…

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Q: Find the derivative of the function - (tan(æ)). Y = y'

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Q: 3 dx x²+4x+29

A: We have to find value of given Integral.

Q: Evaluate the definite integral: 7/4 1+5 cos2 (t) dt cos? (t)

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Q: Use an appropriate substitution and then a trigonometric substitution to evaluate the integral. dx…

A: Given query is to find the integral.

Q: show that ī =3i+ 6j. %3D have Re sa we divein?

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Q: Ex : Express the Sum o+ 2+4+6+8 in Sigma nata tion. -2

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Q: A radioactive substance decays at a continuous rate of 17% per day.  After 8 days, what amount of…

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Q: The demand equation for a certain product is 2p+3q = 1500, where p is the price per unit in dollars…

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Q: Please explain briefly. Thanku!

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Q: 16 A scientist found the number of bacteria (y) after (t) minutes can be estimated by the following…

A: We can solve as follows

Q: Consider the following. x - 2 f(x) = x2 - 4 (a) State the domain of the function. O all real numbers…

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Q: Find the average value of the function J (1) = VI +1 from x =0 to x = 3.

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Q: Evaluate the integral using any appropriate algebraic method or trigonometric identity. 5 dx sec x-1…

A: Here we have to evaluate the given integral.

Q: Evaluate x +1)?dx = [{(x+ 1}dx+ f{(x+ 1}°dx %3D

A: ∫13x+12dx=∫12x+12dx+∫23x+12dx⇒563=∫12x+12dx+∫23x+12dx⇒563=193+∫23x+12dx⇒563=193+373

Q: f(x)

A: We will find the equation of tangent.

Q: 23. Suppose f(x) ={9 (бх + 5, хSо (2x+ 5, x> 0 Which of the following statements is NOT true? i.fis…

A: 23.fx=6x2+5,x≤02x+5,x>0 Note:     Multiple questions are given, we are answer with only one…

Q: (ポ-2) X1 X

A: ∫12(x2 -2x)dx/x here now diivide by x ∫12 (x -2)dx [x2/2 - 2x]12 (2)2/2 - 2*2 - 1/2 + 2 2 -4 -1/2+2…

Q: Evaluate

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Q: Use the quotient rule to prove the derivative of: [Hint: change into sin x and cos x and then take…

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Q: area of the region enclosed by y = 4 – x and y = -x+2, identit X'

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Q: Let f(x) be the function 2x – 11x + 5. Then the quotient f(5 + h) – f(5) can be simplified to ah + b…

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Q: Sxsin?xdx 2

A: ∫xsin2xdx sin2x = (1 -cos2x)/2 put this in equation ∫ x(1 -cos2x)dx/2 ∫ x/2dx - ∫ xcos2xdx/2 x2/4 -…

Q: Choose the correct Sympy expression to cal Select one: a. diff(f, x, x) b. deriv(f,x) c. diff(f, x)…

A: 1).   To compute this definite integral, pass this argument >> Integrate ( f, (x, 0, π/3))…

Q: - 5 2x +1 Calculate the derivative function of g(x) Write your result as a single fraction. g'(x) ||

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Q: Find an equation of the plane with the given characteristics. The plane contains the y-axis and…

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Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the…

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Q: For each item, find an equation of the line with the given propert (a) containing the points P(-1,…

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Q: Find the dimensions of the cone of maximum volume inscribed in a sphere of radius 8 cm. [Note:…

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Q: For numbers 17– 20, use the given function. (5 + 2x, x <- 6 f(x) = } x + 5, x 2– 6 17. What is the…

A: From given function we have to find out  f ( - 6 ) &amp; value of  right hand limit at x = - 6 to…

Q: Consider f(x,y) =x'+y* +2ry-x+5. Find its critical points and use the second partials test to…

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