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Q: Ssin (x) + sin(x) cos²(x) To evaluate the dx using basic formula of integration (without using subst...

A: This question is based on indefinite integral.

Q: (p² –1)cos[cosh (In r)]dr

A: In this question, we need to find the integral.

Q: Let h(x) = f (X)g(x). If f (x) = In(3x² - - 4) and g(x) = 3x – 1, what is h' (x)? Select the correct...

A: Here, the given function is: h(x)=f(x)g(x)

Q: Evaluate the integral. [HINT: Use a shortcut.] 2 12(2x + 1)5 dx 12624

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Q: (c) Find the area of the region common to the interiors of the cardioids T = 1+'cos 0 and r = 1- cos...

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Q: The cost of recycling q tons of paper is given in the following table. q (tons) 1000 1600 2200 2800 ...

A: We have to find C' (2800)  Recycling the 2801st ton of paper will cost around $ The marginal cost ap...

Q: Calculate 121x dxdy where R is the parallelogram with vertices (0,0), (6,2), (7,6) R 1 -(v — Зи), у ...

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Q: 7) f) = Sx + 12x -7x at a point where x -1

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as th...

Q: The function k(x, y) = e cos(2x) has a critical point at (0,0). What is the value of D at this criti...

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Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum...

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Q: Find df / dx and ðf / ðy. f(x,y) = e(x +y + 2)

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Q: ,2 + 5х + 4 f(xæ) х — 1

A: For x-intercept substitute f(x)=0⇒x2+5x+4x-1=0⇒x2+5x+4=0⇒x2+4x+x+4=0⇒x(x+4)+1(x+4)-0⇒(x+4)(x+1)=0⇒⇒x...

Q: Arithmetic mean betwen A,B is9, And Arithmetic mean betwen 2A,4B is 61 So what is the value of a and...

A: Given query is to find the value of A and B

Q: (a) Each of the following functions is smooth in a simply connected region. Determine which of them ...

A: In order to find the scalar function we need to equate the respective partial differentiations and i...

Q: 81 lim an n→+o The soguonco

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Q: f(x+h)-f(x) Find and simplify the difference quotient h#0 for the given function. f(x) = - 2x2 -x+3 ...

A: solution:-f(x)=-2x2-x+3f(x+h)=-2x+h2-x+h+3            =-2x2+h2+2xh-x+h+3            =-2x2-2h2-4xh-x-...

Q: Find the average rate of change of the function f(x) = 7x from x, =0 to x = 3. %3D The average rate ...

A: Use the slope formula to find the average rate of change -  m = y2-y1x2-x1, where x1,y1 and x2,y2 ar...

Q: The number of wiretaps authorized each year by U.S. state courts from 1990 to 2015 can be approximat...

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Q: x³ – - 3x 2x² 5. lim X--5 x² - x

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth Taylo...

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Q: 身 x²+5x+8 Determine g' (x) if g(x) = ln x³+5x+8 %3D Select the correct answer below: 2x-5 3x²-5 x3+5...

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

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Q: 31. A function f is defined by f(x) = 1 + 2x + x² + 2x³ + x“ + ... that is, its coefficients are c2n...

A: In this question we have to find the interval of convergence of the series and explicit formula for ...

Q: 8.) C1-cose 1-05 do sin

A: Given that ∫1-cosθsinθdθSolution;∫1-cosθsinθdθ∫1sinθ-cosθsinθdθ∫cosecθ-cotθdθlncosecθ-cotθ-lnsinθ+c

Q: Ans. 15, 22, 30 6. In a triangle, the smallest angle is half of the largest angle and the other angl...

A: In a triangle, the smallest angle is half of the largest angle and the other angle is 8 degrees larg...

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b). (Select all tha...

A: The function is  f(x)=(x-2)(x-5)(x-7)

Q: 3e"dx 3x 1. 3x – 16 2. x 10 – 3x°dx 3. / In (cos®) an@ de 3.

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Q: Applications of Maxima and Minima A rectangular box with a square base and no top is to have a volu...

A: topic - application of derivatives

Q: Evaluate the integral. HINT: [Use a shortcut.] 7x dx lo x2 + 5

A: ∫037xx2+5 dx

Q: An investor put $2000 into the stock market. The investment grows by 5%?each each year. Find a formu...

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Q: of of and ду For the function f(x,y) = In (7x + 9y), find

A: The given function,     f(x,y)=ln7x+9y

Q: of find and of For the function f(x,y) = x+ 8y ду

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C f...

A: Given:  fx=24+x4 Anti derivative is also called Indefinite integral.   Thus,          ∫f(x) dx=∫24+x...

Q: 10 13 а) 16 (b) (ii)

A: Given question:- Rank the magnitude of directional derivative in the direction of vector a,b,c and d...

Q: 4x3 + 2x + x 4. lim X→-4 X - 3

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as...

Q: Suppose that {a, } is a monotone sequence such that a, 10 or increases- in this case we can't say w...

A: We need to choose correct options.

Q: Solve

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Q: Let f (x) and 8 (x) be antiderivative of h (x), The which of the following is true? A None of the gi...

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Q: an+1 n -to determine if the sequence An is strictly increasing or strictly decreasing. Use the ratio...

A: In this question, we need to check whether the given sequence is strictly increasing or strictly dec...

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (-1)k+l k ! (2...

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Q: dx Evaluate: Jo J1-x² ' V1-x2 O T/3 O none of the choices Ο 1/6 O T/2

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Write the correct u and du. 3edx -16 2.10-3rdr ...

A: We need to solve integrals.

Q: Determine f (x) given that f'(x)= 16x-9x-x.

A: Let's find. 

Q: When you evaluate: dx, The sum of the coefficient of X for any constant n is

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Q: In each part, find a formula for the general term of the the sequence, starting with n = 1. 1 1 1 (a...

A: A detailed solution is given below

Q: #24 and 26a

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Q: 0.08e* Determine p' (x) when p(x) = Select the correct answer below: 0.08e* %3D (x),d O (12)(x^)-( 1...

A: topic - derivative of a function

Q: 9. S e*(3 – 2e?)²dx

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Q: =wyx for w = In (3x+ 4y). ух

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Q: Answer 48. The vector cũ has the same direction as ū. 49. |l0 – ü|| is the length of the shorter of ...

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