Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate that using the checkbox. 216 [² x dx = The integral diverges

Q: 3. tan(xy) + xy -0

A: Question number 3,Given,           tanxy+xy=0To find : The second derivative, y'' of the given funct...

Q: 1. Consider the curve of the function f (x) = 2x² a. Find an expression for the slope of the curve a...

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Q: A solution to the trigonometric equation 2 sin² x = 2 – - V3 cos x i. 90° ii. O° iii. 30° i only i a...

A: Given: 2sin2x=2-3cosx   As we know that; The Pythagorean identity; sin2θ+cos2θ=1    

Q: find the second derivative of y=[(tane^2x)+(e^tan3x)]

A: The guven function, y=tane2x+etan(3x)

Q: Write an equation for the function graphed below -7 -6

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Q: True or False: To evaluate the integral dr, 9. we use substitution withz= 3 sec 0, where Select one:...

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Q: 2020, the population of Ethiopia was 1.65 times as large as the population of Thailand. We can also ...

A: Given query is to find the population of Ethiopia in terms of percentage of population of Thailand.

Q: Consider the function f(x) (-00, A, A, B), (B, C, and C, ) where A, and C are the critical numbers a...

A: Topic = Functions

Q: Express the definite integral as a limit of Riemann sums. Do not evaluate! Csc da 3

A: a=3, b=6For each  n (number of sub-intervals) , we get∆x=b-an=6-3n∆x=3nAnd for  i = 1 , 2 , 3 , . . ...

Q: -5 -4 -3 -2 3 4 3 -4+ 18x For the above rational function f( x) = identify its three inflection poin...

A: It can be solved using differentiation.

Q: True or False: To evaluate the integral tan a sec" zdx, we save one sec z factor and use sec z = 1+ ...

A: Answer: TRUE

Q: Solve the following. 1. Consider the curve of the function f (x) = 2x2 a. Find an expression for the...

A: I am attaching image so that you understand each and every step.

Q: s, if any, of the given functions. De ion is increasing or decreasing. y = = x' - x

A: We will find the maximum and minimum value. 

Q: Find f'(x) if f(x)= 5sin^2(4x^2-5x+1)

A: Question- Find f'(x) if f(x)= 5sin^2(4x^2-5x+1)

Q: dx

A: Topic = Integration

Q: 1 n > 3. Let an n Vln n Use the Integral Test to determine if the series > an converges or diverges....

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Q: dr ei+ 3t'j dt 9. Solve the following vector initial value problems: r(0) = 2i – 8j

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Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

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Q: Consider the function f(x) 2x + 6x2 18x 54. a. Find the first derivative. f'(x) b. List any critical...

A: Given problem:- Consider the function f(x) = 2x³ + 6x² -18x-54   a. Find the first derivative. f'(x)...

Q: What is the particular solution to the differential equation with the initial dx condition y(-2) = 3...

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Q: The integral is equal to 2e + C. Select one O True O False

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Q: explanations

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Q: ritical value at A = r) is Select an answer v Select an answer

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Q: 3. tan(xy) +xy 0

A: This is a problem of differentiation. Based on the general formula of derivative we will calculate t...

Q: c) : Evaluate the integral xp- x2-4x-5

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Q: Q2) For the following problems, find the directional derivative of the given function at the given p...

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Q: $ Solve and convert to rectangular form. ti sin sin )

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: A soccer ball manufacturer is planning to expand its vorkforce. It estimates that the number of socc...

A: Solution is here

Q: » fee'a

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: 2 Consider the function f(x) - A. 6x + 4x8. f(z) has a critical point at z = Find the value of A: A ...

A: The given function is f(x)=-6x2+4x-8 .............................. (1)  Differentiate with respect ...

Q: Determine the values of a, b, and c such that the cubic function f(x)=ax^3+ bx^2+ cx satisfies all o...

A: Given problem:- Determine the values of a, b, and c such that the cubic function f(x)=ax3 + bx2 + cx...

Q: Find the volume V of the described solid S. The base of S is the region enclosed by the parabola  y...

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Q: Determine the value of the given integral given the equation presented below. Answers should be expr...

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Q: A pendulum consists of a 3.5 kg stone swinging on a 4.1 m string of negligible mass. The stone has a...

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Q: Use the Comparison Test to determine if the series 5n Cos 2n - n³ + n² + 1 n=1

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Q: (1.5,2) 1.5 (0,7, 0.2Y f0.7,0.2) O.5 to - O.5 -0.57 ー15 0.5 1.5 (-1,2,-1) - 15 -2 does f have the ab...

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Q: 2. Find an expression for the amount of work required to lift a thin 10 ft by 10 ft slab whose densi...

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Q: 88. Let f be a twice-differentiable function such that f"(x) < 0 for all x. The graph of y = S(x) is...

A: The graph of y=T(x) is the line tangent to the graph of f at x=4

Q: The expression below is an evaluation of which integral? * 1 6 2æ + 2 In|æ| 2 In|æ – 3|+c | 523 + 62...

A: Using partial fraction. 

Q: 2sim x-1 -y = COST+2

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Q: The table below gives selected values for the differentiable and decreasing function f and its deriv...

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Q: 6. A vertical tank shaped like a truncated square pyramid is filled with water. Find the work requir...

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Q: J, sin a sin? cos" ,dx COS 2 2 2.

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Q: 2. Evaluate lim x-4x+1 X-1 x-1

A: I am attaching image so that you understand each and every step.

Q: Verify that the series Σ n +1 n=1 satisfies the conditions of the Integral Test, then use the Integr...

A: The given series ∑n=1∞nn4+1

Q: where A and C are eritical nummb ers /- intervals (-0,A) (AB), (B.C) and (C) where A and c are eriti...

A: This question is based on application of derivative.

Q: Anote card company has found that the marginal cost per card of producing x note cards is given by t...

A: Given query is to find the cost of prducing x cards.

Q: Write the general antiderivative. (Use C for the constant of integration. Remember to use abs 1 3x d...

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Q: (1.5,2) 1.5 (0,7, 0. 2) f0.7,02) O5 ー15 -05 O.5 0.5 1.5 1 -0.57 (ーム2,-) -15: -2 Where does f have lo...

A: From the given graph we can see that- f has local minimum at x = 0 and x = 1

Q: 3. Given the graph of s(t): a) Sketch and label a possible plot for v(t) and a(t). (hint: Label the ...

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