4. S (e² + 1)2² dx ex

Q: Use a graphing utility to graph the polar equation. Between the loops of r = 3(1 + 2 sin(0)) 4 6 4 0…

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Q: 1. The value of A. sin-¹(²*²+¹) + C 5 sin-¹(²*x+¹)+C B. C. sin-¹(+¹) + C D. sin-¹ (¹) + C 2x

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Q: Given the integral below, find the best lower and upper bounds for F that the comparison theorem can…

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Q: A model rocket is launched vertically upward from the ground with an initial velocity of 14 ft/s.…

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Q: Find the indicated value of the function f(x,y,z)=2x-7y + 4z³ -7. f(6, -5,3) f(6, -5,3)=

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Q: Find a center of mass of a thin plate of density 8 = 6 bounded by the lines y=x and x = 0 and the…

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Q: Evaluate the definite integral given below. 2 [ ²³ ( -5x ² + 2x² ) dx

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Q: Use the Green's Theorem area formula, shown below, to find the area of the region enclosed by the…

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Q: 10. Find the limit (if it exists) of the sequence (x_n) where x_n= cos(n)/n.

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Identify the symmetries of the curve r=7+7 cos 8. Then sketch the curve. Is the curve symmetric…

A: see below the figure and answers

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A: Here we have to find the loudness.

Q: A share valued at $263.75 pays quarterly dividends in perpetuity at a rate of return of 5.50%…

A: calculate the end of quarter

Q: try again, answer is incorrect

A: Let's find minimum distance between point and plane.

Q: A pen manufacturer determined that the total cost in dollars of producing x dozen pens in one day is…

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Q: Find of 3-(-1)" the Set of sequential limits

A: Given;  3-(-1)n.

Q: Examine the graph of (a) below, and find the values given below. If the limit does not exist write…

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Q: Two hours after the start of a 100-kilometer bicycle race, a cyclist passes the 82-kilometer mark…

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Q: 1. Find the numbers for x where the function below is not continuous. Explain what type of…

A: We can find discontinuity of the function .

Q: 2 the integra 5.° 0 2e sin 0 de using

A: The given integral is 2e-thetasin(theta) , mlimit from 0 to infinity.

Q: 15 Find the Equation of the tangent at (); 4 2 'V or to armist mi Y sin (127) = x cos (24) 7 ition]…

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Q: Question 1 lim xe-* X→∞ A. 0 = B. Co C. e-1 D. e E. 1 F. None of these.

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Q: a

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Q: Q[1]: Given the function shown below, evaluate the following: (a) lim f(x) x-2' (b) lim f(x) x-0 (c)…

A: Graph of the function f(x) is given, we have to find the limit at x=-2, x=0 and x=2

Q: x= 4+² +7, y=t, t = -1 Write the equation of the tangent line. What is the value of dx² d²y dx² at…

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Q: Complete detailed solution. What is the derivative of 6 f(x)=(√2-1)(3√x+1)

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Q: Consider a horizontal parabola of the form ay² + by + c = x where a 0, and whose graph contains the…

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Q: Evaluate the integral. Select the correct answer. none of these 2xcos(2x) 4x²-2 4 8 2xcos(2x) 2 +…

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Q: Opens left or right Vertex: (-7, 9) Passes through: (-4, 8)

A: Given:   Vertex: (-7, 9)   Passes through: (-4, 8)

Q: Use any method to determine if the series converges or diverges. Give reasons for you! M8 n=1 Select…

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Q: To evaluate the integral 3 100 + x² -dx, which of the following substitution shou be used? Select…

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Q: Question vector equation Let C be a curve defined by the r(t)=. Show that the point P(-5, 11, ½)…

A: Solve the following

Q: To receive credit, all work must be completed and shown on the assignment paper. 1) A rocket will…

A: Given:

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

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Q: 6. The value of f A. + C B. C. D. (4-x² +C 4√4-x² 4√4-x² dx (4-x²) 1.5 +C +C

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Q: Let u =(3,-4) and v= (-1,-4). Express u+v in the form (a,b). u+v= (Simplify your answers.)

A: The objective of the question is evaluate the sum of given vectors .

Q: lim x→0 x⁹⁹ sin (7x) (sin x) 100

A:

Q: lim (x,y)→(0,0) lim (x,y)→(0,0) 7x²+4y 4y 49x²-98xy+49y² 7x-7y

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Q: Determine the domain of the function of two variables f(x,y)=√√y + 3x. The domain is {(x,y). (Type…

A: To determine the domain of the function of two variables fx, y=y+3x.

Q: A rectangular area adjacent to a river is fenced in; no fence is needed on the river side. The…

A: To find out the dimensions.

Q: Solve given differential equation. ydx-xdy+2dx=0 

A: The objective of the question is solve the differential equation.

Q: Find a formula for the nth term of the sequence. 1, 4, 9, 16, 25,... Determine the sequence's…

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Q: Consider the following. y = x² y = 12 - x K 16 14 12 -2 10 B 6 4 2 2 8 10 12 (a) Find the area of…

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Q: Find the limit (if it exists) of the sequence (x_n) where x_n = sqrt(3n+2)-sqrt(n).

A: Here, the given sequence is: {xn} where xn=3n+2-n

Q: tim п-х 2 (n-3₂²)

A: Given;  limn-infinity (n-3n2).

Q: Which equation represents a tangent function with a domain of all Real numbers such that x 2…

A: We know that the domain of the tangent function tan x is: all real number x except x≠π2+nπ , n∈ℤ

Q: -21x Use substitution to find the Taylor series at x = 0 of the function e What is the general…

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Q: Select the correct answer. dg(x) dx dg(x) dx dg(x) dx = casi(v) 4 = 4x sin(x) 5 = x sin(x) g(x) = ft…

A: using fundamental thereom of calculs,

Q: Graph the line with slope - 3 passing through the point (-2,-2). 4 D X 5 Ø ?

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Q: The integral is improper. Select one: O True O False S 1 x - 1 dx

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Q: Find f'(x) if f(x) = 9x x7/5 – 5x2 + 10000. O A. f'(x) = 632/5 - 10x 5 OB. f'(x) = 63, 6/5 - 10x 5 O…

A: The objective of the question is determine the derivative of the given function and choose the…