Instructions: Show all work and clearly identify your answer. Each question is worth 5 points. 1. Use right-hand endpoints and n = 4 subintervals to approximate the area under the curve of f(x) = 512 - over the interval [0, 8].

Q: Зх + 4 f (x) x2 (x + 4)(x – 1) a) Decompose into simple elements the function ƒ (x) and evaluate the...

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Q: For Exercises 12–14, simplify the expression. -3(4y (4x'y 4y-6\1/2 12. -2 Z. -12 13. V250z xy 1 1 2....

A: Simplify: 4x3y-5z-24y-6x-1212. Apply exponential law: a-m=1am. 4x3y-5z-24y-6x-1212=4x3z2y54x12y612  

Q: Use the comparison test or the limit comparison test to determine whether the series is convergent o...

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Q: The graph of y=tanx is symmetric with respect to the .............and has vertical asymptotes at.......

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Q: Coasider the fuiction f(x) = 9(1 – 4)1. For this function there are two important intervalsa NH AN a...

A: When f'>0 then function increasing when f'<0 then function decreasing when f''<0 then funct...

Q: Evaluate the integral ∫C xy2ds, where C is the part of the unit circle x2+y2=4 in the first quadrant...

A: Use parametric to solve this

Q: -2 2. 1 -3 4. Determine the value of a"33? Select one: O A 5 О в.5 В.5 C. -10 O D. 10

A: Expand determinant 

Q: Someone told me to post the three other question  c) Show that the sequence (an) is bounded by 4 d) ...

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

Q: Evaluate the integral. 10 z/2 z/2 ITT I sin ² do dộ dp 8 0 244 O A. OB. 61 OC. * 244 OD.

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Q: A baseball diamond is a square with sides of 90 feet. Home Base 90 ft 90 ft. 1st Base 3rd Base 90 ft...

A: Given that  a baseball diamond is a square with side of 90 feet. A batter at home base hits the ball...

Q: Slicing bread Did you know that if you cut a spherical loaf of bread into slices of equal width, eac...

A: Given: y=r2-x2 AB be an arc of above semicircle that lies above an interval [a, a+h] of length h on ...

Q: af Given f(x,y) = x²- y and x=r+2s , y=2r-s then %3D %3D ds Select one: a. 4r+8s+ 12r2- 12rs+3s? O b...

A: Given that: f(x,y)=x2-y3             and x=r+2s, y=2r-s

Q: 1) Use integration by parts to find 1. Sxe'dx 2. Ssin" xdx 2) Determine the following trigonometric ...

A: Topic-integration

Q: A point C with z-coordinate 8 lies on the line segment joining the points A(2, -3, 4) and B(8, 0, 10...

A: We have to find the co-ordinates of point C on the line segment joining A and B.

Q: Evaluate the integral

A: Evaluate the integral

Q: 1) Evaluate y)dA over a region bounded by curves xy = 6 and x + y =7. Sketch a diagram of the region...

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Q: . Given two functions f and g, the___________ ____________ , denotedf ∘ g, is defined by (f ∘ g)(x) ...

A: The step-by-step solution of the given question is ................  

Q: Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the coordin...

A: To find the volume

Q: In Exercises 1-4, determine whether the given ordered pair is a solution of the system. 1. (2,3) Jx ...

A: An ordered pair is the coordinates of a point that contains both the x-coordinate and the y-coordina...

Q: Determine whether the following statement is true or false, and explain why. Total revenue is maximi...

A: Explanation: Given a statement: Total revenue is maximized at the price where demand has unit elasti...

Q: How long (in years) would $200 have to be invested at 9%, compounded continuously, to amount to $980...

A: Future Value(FV) is the anticipated value of any Current Amount in the future time period. It is com...

Q: 1. Determine the relative extrema of the function y = 2 cos x + sin 2x on the interval (0, 2Tt). %3D

A: To find the extrema of the function

Q: In a manufacturing process involving several machines, the average down time t (in hours) for a mach...

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Q: Let n represent the number of years it will take for a population to double. Consider a population t...

A: Doubling time is the time needed for the quantity to double in value for a specified constant growth...

Q: Calculate . (x² + x²)e²as, where S is the cylinder with equation x² + y² = 9 for 0 < z < 10.

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Q: Find all planes in R^3 whose intersection with the xz-plane is the line with equation 3x + 2z = 5.

A: To find all planes in ℝ3 whose intersection with the xz-plane is the line with equation 3x + 2z = 5....

Q: A spherical party balloon is being inflated with helium pumped in at a rate of 6 cubic feet per minu...

A: Differentiate volume of sphere wrt t

Q: D: (-00, 3) U (3, o0), R: (-00, 0) U (0, 0)

A: Given; -∞, 3∪3, ∞     and -∞, 0∪0, ∞       = -∞, 3∪3, ∞=-∞, ∞-3=R-3

Q: Differentiate: (Do not simplify or plug in any numbers); You must use the chain rule where required....

A: Our Aim is to find the derivative of 14x3+1-(i)

Q: Choose the expression equivalent to 2x.(a) e2x(b) ex ln 2(c) e log 2 x(d) e2 ln x

A: To find the equivalent expression

Q: Determine whether the series is convergent or divergent. 00 n(n + 1) O convergent tis convergent, fi...

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Q: I need help this question

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Q: Determine whether the series is convergent or divergent. 1,2 1 27 2 3. 81 243 729 convergent O diver...

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Q: A kite 50 ft above the ground is moving horizontally at a rate of4 ft/s. At what rate is the string ...

A: Assume  horizontal distance from original position is x diagram according to problem

Q: Show that f (x) = 2x − 18 is invertible. What are the domain and range of f−1?

A: Given: f(x)=2x-18

Q: Without using a calculator, compute the sine, cosine, and tangent of 5π/4 by using the reference ang...

A: Topic- Trigonometry 

Q: Use the comparison test or the limit comparison test to determine whether the series is convergent o...

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Q: Briefly describe the concept of double taxation.  Particularly explain how corporations are subject ...

A: To explain the given problem

Q: solve each equation. Give a general formula for all the solutions. List six solutions.

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Q: Write the derivative of 9ln(x)

A: We can solve this problem using differentiation.

Q: Afarmer finds that if she plants 100 trees per acre,, each tree will yield 40 bushels of fruit. She ...

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Q: 3 Find f(x) if f(1) = 1 and the tangent line at (x, f(x)) has slope f(x) =

A: on solving this we get the

Q: Find the exact value of each expression.Do not use a calculator. sin 30° - cos 45°

A: here given  sin 30°-cos 45°

Q: differentiate y =(x + 1)3/(x - 5)2

A: Differentiate: y=x+13x-52. Apply product rule of differentiation: fx/gx'=gxf'x-fxg'xgx2. Let fx=x+13...

Q: Find a positive number for which the sum of it and its reciprocal isthe smallest (least) possible.

A: Given: Let x&gt;0 be the number. The sum of the number and its reciprocal is the smallest (least) po...

Q: determine where f is increasing.49. f (x) = |x + 1| 50. f (x) = x351. f (x) = x4 52. f (x) = 1x4 + x...

A: fx=x+1

Q: z -7 2. prove that: Im(z)= 2i

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Q: 33. Cost of Trans-Atlantic Travel A Boeing 747 crosses the Atlantic Ocean (3000 miles) with an airsp...

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Q: Looking ahead: Integrals of sec x and csc x a. Multiply the numerator and denominator of sec x by se...

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Q: Differentiate: (Do not simplify or plug in any numbers); You must use the chain rule where required....

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