In reference to the following function:  f (θ) = (θ − 3) cos(θ) Write down an expression, involving a definite integral, that gives the area between the graph of f and the θ-axis, from θ = 3π/2 to θ = 5π/2

Q: Find the indicated limit by using the limits 3f(x, y) lim (x,y) → (a, b) g(x, y) lim (x, y) → (a, b)…

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A: topic- indefinite integral

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Q: Integrate O √25 - 2² 2 ▶ X 25 - x² O. + C V6-ਏ 25 - x² 2 dx. +C 25 - x² + C 25 - x² + C

A: topic- indefinite integral ∫xn dx=xn+1n+1+C

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A: Note: As all are different questions, as per our company guidelines we are supposed the answer the…

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A: As per the guidelines we are supposed to answer only first question and rest can be reposted..

Q: 6 (2) Find and draw the Fourier transform of f(t) = 9+t²

A: Find and draw the Fourier transform of f(t)= 6/(9+t^2)

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A: Given: f(x)=x+12x+9

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A: This question is based on gradient of function at a point.

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A: Solution is given below:

Q: PART I. DIFFERENTIALS 1. √101

A: We can find the approximate answer as below.

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Q: Question 25 For f(x, y), find all values of x and y such that f(x, y) = 0 and f(x, y) = 0…

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Q: Find all relative extrema. Use the Second Derivative Test where applicable. (If an answer does not…

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Q: 7. Use the graph to determine the intervals on which the function is increasing, decreasing, or…

A: 7)  from given grap  (oo ,-2] decreasing and [-2,oo) increasing Minimum at x=2 value is -2 8)(oo…

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A: (9)

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Q: f x 5 1x² =9) ² du for (x73)

A: This question is based on solution of indefinite integral by substitution method.

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Q: To evaluate the integral 1. 7 64 + x² -dx,

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Q: Which of the rectangles below are right rectangles? 25-4 20 15 10 63 BODEX 0 5 10 15 20 25 Select…

A: This question can be solved using the concept of estimating the area under curve using left and…

Q: Find the general solution of the differential equation. y (4) + 2y" + y = 9+ cos(4t). NOTE: Use C₁,…

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Q: Find the points of inflection of the graph of the function. (Round your answers to three decimal…

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Q: Find the general solution of the differential equation. y(4) + 2y″ + y = 7 + cos(2t). NOTE: Use C₁,…

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

Q: If ` f(x) = x^4 + 7, g(x) = x - 1 and h(x) = \sqrt(x) `, then ` f(g(h(x))) `= __________________

A: If , f(x)= x4 +7 , g(x)= x-1 , and h(x)= √x  find , f(g(h(x)))

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A: Given :-4x3y-16dy=6x2y2-10dx

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Q: x = 6 sin 0 is an appropriate trigonometric substitution for the integral Select one: True O False √…

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A: Given problem:- Population of a certain country is growing exponentially at a rate of 1.5% per year.…

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Q: integral of cos x sin^3 2 x dx

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Q: w = sqrt(25-4x2- 4y2) ,  x=r cos(theta) ,  y=r sin(theta) (b) Find del w / del r and del w / del ?…

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