248 217 186- 155 124- 93 62- 31

Q: d 2. Given that g(x)= 1 dx 1+3x 3 (1+3x)² term-by-term. 3 (1+3x)²' find a power series…

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Q: Use Stokes's Theorem to evaluate F(x, y, z) = yzi + (2 − 6y)j + (x² + y²)k, x² + y² ≤ 49 S: the…

A: Let's solve part 2.

Q: Evaluate the indefinite integral: S √4x + 9 dx

A: Given.

Q: Find the nth term of a sequence whose first several terms are given. 3, 5, 3, 5, 3, 5, ... an =

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Q: If the point (4,-7) is on the terminal side of the angle in standard position, sin (0) = cos(0) tan…

A: Here we have to find the value of trignometric functions.

Q: solve each of the following nonhomogeneous differential equations. 6. (D²-1)y=2(1-e-²x)-1/2

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Q: Let f(x) = Then f'(x) = m = b = 3 sin x 6 sin x + 2 cos x The equation of the tangent line to y =…

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Q: Evaluate the following integral using trigonometric substitution. dx 2 x - 289 " || X> 17 dx 2 x² -…

A: The objective is to evaluate the integral using trigonometric substitution.

Q: (1) [(x³ + +7) dx x

A: Multiple questionSince this is a multiple question, according to the Bartleby answering rule, only…

Q: Determine the area bounded by y²=x+4 and x-2y+1=0 A B E 27 - 2 32 - 3 27 - 5 sq. u. 34 5 sq.u. sq.u.…

A: y2 = x +4  x- 2y +1 = 0 for find the area bound by this curve  we have to find common point of curve…

Q: Determine whether the telescoping series converges or diverges. 5 5 Σn=1 (√2+2 -√2+3) /n+2 a) The…

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Q: A sequence is defined recursively by the given formulas. Find the first five terms of the sequence.…

A: Given that a sequence which is defined recursively by the formula given below:-an=an-1+an-2-(i)…

Q: The circle with center B is a dilation of the circle with center A using scale factor 2. Select all…

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Q: Problem #3: Consider the following statements. (1) Σ n=0 (-1)" 2n+1 X² (2n + 1)! = X- ∞ (iii) The…

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Q: Problem 12. Find the absolute maximum and absolute minimum values of the function over each of the…

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Q: is dropped s(t) = -16t² + vot + so (a) Determine the position and velocity functions for the coin.…

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Q: At any time t, the rate of growth of the population / of deer in a state park is proportional to the…

A: Solution of given question is written in below steps.

Q: A rancher plans to fence-in a rectangular corral adjacent to a river for a herd of cattle. The…

A: We have to find the length of sides and area.

Q: State the equation of a relation whose vertex would be lower than the origin and to the left of the…

A: We have to find the equation of the relation whose vertex is lower than the origin and left to the y…

Q: 2cosx cos2x+1 3. Prove that secx. Which double angle identity of cos2x did you use and why?

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Q: A farmer wants to fence in 6000 m² of land in a rectangular field along a straight road. The fencing…

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Q: 24. Differentiate each of the following with respect to x. Simplify fully when indicated 1 (a)_y=x²³…

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Q: Let R be the region in the plane bounded below by the parabola y = x² above by the line y = 2x. Then…

A: Use application of integral for finding the area of curve between two curves.

Q: Find the volume of a pyramid with height 29 and rectangular base with dimensions 6 and 9 using…

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Q: For the acute angle with cot0 = 1, find (give exact answers, NO DECIMALS. If the answer involves a…

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Q: 1. Write a list of angle degree measurements between 0° and 180° whose sin value can most easily be…

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Q: The integral sin(x - 2) dx is transformed into fg(t)dt by applying an appropriate change of…

A: Given :- ∫02sinx-2dt  is transformed  into ∫-11g(t) dt

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Consider the basis S = {V₁, V₂} for R2, where v₁ = (1, 1) and v₂ = (1, 0), and let T:R2 R2 be the…

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Q: Determine whether or not the relation is a function and then give its domain and range in interval…

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Q: Let g(x) = 4x³ + 9x² - 12x + 7. What is the absolute minimum of g(x) in the interval [-3, 3]?…

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Q: 2. Find the area enclosed by T = @ cos 30-

A: We need to find area.

Q: Consider the following. f(x) = tan(x), (-1) (a) Find an equation of the tangent line to the graph of…

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Q: Evaluate: L Blank 1 5 {}} 5 Blank 1 Add your answer

A: As we know from the inverse Laplace property; L-1a·fs=a·L-1fs  ; where a is constant And…

Q: lim X→∞0 lim x118 √11+4x² 2 + 11x √11+ 4x² 2 + 11x = =

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Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

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Q: If f(t) = 2 - 9t cos t find f'(0).

A: Given :ft=2-9tcost

Q: Find an equation of the plane with the given characteristics. The plane passes through the point…

A: Given that , Point =14,-12 ,7 and line x2=y-4-1=z Find the equation of the plane.

Q: Find the directional derivative of the function at P in the direction of v. √2 2 f(x, y) = x³ - y³,…

A: Given problem:- Find the directional derivative of fx,y=x3-y3 at point P8,3 in the direction of…

Q: Which of the following series should be used to determine the divergence of the series Σ, V5n2+2n+4…

A: Given :- ∑n=1∞5n2+2n+4n

Q: (1) f(x+4)² dx (3) ſ. x² dx x² - 4 (2) √ x²(x³ + 1)² dx (4) √x²0 x² cos 3x dx

A: The given integrals are;  1) (x+4)2 2)x2(x3+7)7 3)x2/(x2-4). Repost the 4th question.

Q: Prob. 3 (a) (2) Compute the derivative of the function y = (b) ( sin x 1-x² ) Find the second…

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Q: Use integration by parts to evaluate [x²mx In x dx

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Q: According to a study, 36% of experienced file-sharers with broadband access had decreased their…

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Q: Let h(x) a) On what intervals is h(x) increasing? b) On what intervals is h(x) decreasing? c) For…

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Q: Evaluate f(x, y, z) ds. f(x, y, z) = x² + y² + z² S: z = x + y, x² + y² ≤ 1

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Q: Determine the instantaneous rate of change at x = 3 for g(x) = x² − 2x+5. A. 2 B. 4 C. 6 D. 8

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Q: It is a fact that the function  f(x) =  (9x2 − 2) (4x2 + 4)  has a limiting value. Use a table of…

A: We need to find limiting value.

Q: Suppose that f is a linear function with slope -2 and that f(1) = 6. Find the equation for f. (Use x…

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Q: Let R be the region in the fourth quadrant bounded below by the parabola y=x²-3 and above by the…

A: Use double integral