+ 5x + 6 cos x + 2)dx = e – x + cos a + 2 + c - O 3e* + x³ + 6 cos x + 2x + c 3et + x + 6 sin x + 2x + c et + x5 – 6 sin x + 2x + c - 3e* + x5 – 6 sin x + 2 + c

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A: We have to find cylindrical form of the given equation.

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A: Solve the following

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A: answer is in next step

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A: The given equation is  ln(x+y)=x3y3+ln(x2+2)-8, (1,2).

Q: Question 2 Let us calculate the definite integral | (2 + a? + 1)°(6æ² + 4x) da

A: Given,            ∫x3+x2+156x2+4xdx

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A:

Q: Exercise 3:a Express an inequality statement that relates mz1 and m2. В 6 D A, 18 12, 18

A:

Q: In Exercises 31 and 32, find the unit vector having the same direction as V(P,P,). 31. P;(4,–1,–6);…

A: To find the unit vector that lies in the same direction as V.

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A: I have stated the used formulas in the solution.

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A:

Q: 1 dz . =5.0 (2 – 3.0)*(z2 + 36)? Evaluate

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Q: The half-life of caffeine in the body is approximately 5 hours (Brachtel and Richter, 1992). If you…

A: Here, given that the half-life of the caffeine in the body is 5 hours and P0=50 mg. Now, we have:…

Q: x2 dx (3x3-4)5

A: We need to evaluate integral.

Q: Given the function f(x) =

A:

Q: Given that s(x)=(−1)/ (x+8) +(9)/(x−4), what is the antiderivative of s(x)? (Do not include the…

A: sx=-1x+8+9x-4

Q: 2/3 ; 1 <x < 8 3 Problem #2: y =–x 2

A:

Q: Verify that the function f(x) = In(5x) satisfies the three hypotheses of the Mean Value Theorem on…

A: Given: f(x)=ln(5x) Notice that the function f(x) is continuous in the interval [1, 8] and…

Q: (会 lim 4x - 1 Find a. 2x + 5 lim 3x + 5 - 6x - 8 2x lim b. Evaluate + x - 12

A: a) limx→-∞4x-12x+52b) limx→-22x-6x2+x-12+limx→∞3x+56x-8

Q: 2 3x-x² lim х>-2 \x-х-6. х2 —х-6

A: A detailed solution is given below

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A:

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

A: To findL = limx→∞ln(x)x4

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

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Q: х—1 dx х4—1

A:

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: Answer the following True or False. Let f(x) be a continuous increasing nonnegative function. Then…

A: Let f(x) be a continuous increasing nonnegative function.Then the left endpoint Riemann sum…

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = x2 + y2 + z2 (4,…

A:

Q: S(x + e*)²dx

A: Solution of question is written in below steps. Note: (a + b)2 = a2 + b2 + 2ab

Q: The position of a baseball (in ft) is represented by r(t) = 55/2ti + (4 + 55/2t- 16t2)j. Find the…

A: This is a problem related to vector. Based on the general formula we will answer the question.

Q: For each function, determine the long run behavi x2 + 1 has | Select an answer x3 + 2 x° + 1 has…

A:

Q: The graph of the derivative f' of a function f is shown. y = f'(x) 2 4 6 (a) On what intervals is f…

A: Let's find.

Q: Find the equation of the tangent line at the given value of x on the curve. 2y (x-4) +x/y = 8; x=4 y…

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Q: X- Sin Find d2y/dx2 without eliminating the parameter. 16) x = 1 - 10 sin t, y = 1 + 9 cos t, t n7…

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Q: -dz 4.

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A: Here is the solution

Q: The value C for the solution of the initial value problem f'(x) = x² – 6x + 2, given that f(0) = 0.…

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A: To evaluate the given integral.

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A:

Q: 9! Calculate 7. 4! 5! 3024 15120 1814400 126

A:

Q: Needed

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Q: . A-line perpendicular to the plane 3x-4y+z=1 passes through the point A(-1,3,2). Find the…

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Q: The value C for the solution of the initial value problem f'(x) = x* – 8x + 4, given that f(0) = 0.…

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Q: Find the inverses of the following matrices. You can use any method you like, and check your answer…

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Q: x sec (3x) tan (3x)dx

A: ∫ xsec3xtan3xdx

Q: Question 9 Calculate the average of the function g(x) = sin 3x over the interval [pi/2, pi] 5/pi a O…

A:

Q: Find the most general antiderivative or indefinite integral. Use a capital letter C to ote an…

A: ∫ -2x1-x2dx

Q: The average annual price of single-family homes in a county between 2000 and 2010 is approximated by…

A:

Q: 3 5 dx

A: To calculate the value of the given integral.