If f(x) = 5 cot 'z + 10, then find the value of f'(-8) is, -8 65 65 -10 V65 65 O o

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Q: Which of the following is the general solution to the differential equation 4xy -x2-y" dx for x 0?

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Q: 1a)Evaluate the double integral over the rectangular region R: ∫∫R 4xy^3 dA;R=(x,y) :−10≤ x ≤10,−8 ≤...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

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Q: Solve the following incqualities - 21 < 4 •

A: The given inequality is: 1x-2&lt;4

Q: S(-P +2u + uP)du No appropriate Match Scot*(x)csc°(x)dx o f-u-2u7 -)du

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A: The given curves are: x2+y2-2y=0 y=2-x

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Q: Read, understand, and solve the given item. Write your solutions on a separate sheet of paper. Sx², ...

A: To find out the continuity of the function at x=0 

Q: A $25, 000 vehicle depreciates $1500 a year as it ages. Repair costs are $1500 per year. (a) Write f...

A: solution

Q: Pind the total area between y = x/3- x and the x- axis for -1 <xs8. %3D

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Q: "/2 sin x dx Jn/a V1-2 cos x 4.

A: As per the guidelines  we can answer only one question at a time. If you want to get the answers  of...

Q: Evaluate the Integral / tanh (u) du .

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Q: 1. Evaluate the limit. Do not use L'Hopital's Rule a. lim e7x+2 X→-00 b. lim tan(Ttx) 1 4

A: Just take the limit and calculate them.

Q: Find the moment with respect to x 2a the area bounded by x y and x2 = 2ay.

A: Given area is bounded by x=y and x2=2ay.  To find: Moment with respect to x=2a.   From x=y We get th...

Q: Given the differential equation In(2x – 2)dy + ydx x-1 = 0 then what is = ? 8x y y Зху? + х х-1 O A ...

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Q: Problem 9. Use the following propositions to draw the corresponding Venn diagram. а. (Gray area is t...

A: The following is the Venn diagram.  

Q: d?s sin 3t + cos 3t dt2

A: Explanation of the answer is as follows

Q: Select the basic integration formula you can use to find the indefinite integral. | (9cos(20x))esin(...

A: To select the basic integration formuala you can use to find the indefinite integral.∫9 cos20xesin20...

Q: A closed right circular cylindrical tank made of s inch thick metal has an outer radius of 2 ft and ...

A: solution:-(1)outer radius, r=2 ftheight, h=6 ftouter surface area of cylinder= 2πrh+2πr2            ...

Q: 4Vx + 2xVxdx X

A: ∫xn dx = xn+1n+1+C ∫af(x) dx = a∫f(x) dx

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Q: S(-P +2u + uP)du cot (x)csc®(x)dx Choose a match o J-2u7 + u)du No appropriate Match o S-uP-2u7 - u)...

A: Topic = Integration

Q: Given two planes: 3x + 9y-4z = 0 and x + y- 5z = 8, determine the value of the angle between these t...

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Q: Evaluate: " sin" () cos* () .4 CoS 2, dx .2.

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Q: Amy raises ducks, and she takes their eggs to the farmers' market to sell. Today she collected 19 do...

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Q: A company rents cars at $45 a day and 12 cents a mile. A second rental company's cars are $60 a day ...

A: This question is based on straight line.

Q: Integrate Intergrate 21x/ with recpect to X mtegrate X- 28 with respect to X

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Q: Express the function as the sum of a power series by first using partial fractions. (Give your power...

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Q: 1. Evaluate the definite integral S ,2 C (9x² + 5)dx by the limit definition.

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Q: 5 (23 — 2) (2а? — аг)* dar

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Q: Consider the following equations. f(y) = y2 g(y) = y + 2 Sketch and shade the region bounded by the ...

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Q: rotated about the x- axis

A: Solution is here 

Q: 1 1 + e6x xp

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Q: The cost C, in dollars, of renting a moving truck for a day is given by the function C(x) = 0.20x + ...

A: As per Bartleby guidelines rule I am answering only top 3 questions.

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

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Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A: Solution is written in below steps.

Q: 0. Find the area enehred by the following curves: * =y-2 and X =y.

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Q: A trucking company transports goods between two cities that are 960 miles apart. The company charges...

A: Let's find. 

Q: Question 1 Find the indefinite integral of F (1) = / te*dr. A 28 e to the power of 4 t squared end e...

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Q: Find the area between the curves y = x² + 1 and y = x + 1.

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Q: Find the function that is finally graphed after the following transformations are applied to the gra...

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Q: For every 100 ticket buyers at a concert, the band expects to sell 27 T-shirts.

A: Given: For every 100 ticket buyers at a concert, The band expects to sell 27 T-shirts.

Q: Let ft)=F(t), where F (t) = 412– 5t²+ 5t¸ Evaluate the following integral using the Fundamental Theo...

A: As we know from the fundamental theorem of calculus; If F't=ft then, ∫abftdt=Ftab=Fb-Fa   From the g...

Q: 5x² +1 dx2

A:     d2ydx2=5x2+1Substitute d2ydx2 with y'' ⇒y'' =5x2+1Integrating once we get,⇒y'=53x3+x+c1Integrati...

Q: A hot air balloon rising straight up from a level field is tracked by a range finder 500 ft from the...

A: This question is based on application of derivative.