Find the integral. J 3 x√9 - (In x)² + C dx

Q: Use the Ratio Test to determine if the series converges. 10k Σ k=1 Select the correct choice below…

A: The given series is ∑k=1∞10kkk

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: 11. A rubber ball is dropped from a height of 5 feet and bounces to 1/3 of its height after each…

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Q: Evaluate the line integral F. dr, where C is given by the vector function r(t). C F(x, y, z) = 6zi +…

A: Let's evaluate given integral.

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: At which of the marked values of x is A. f(x) greatest? x = B. f(x) least? x = c. f'(x) greatest? x…

A: Note:- According to company guideline we can do maximum 3 sub parts so i am solving here first 3

Q: Determine is the given alternating series converges or diverges using the Alternating Series Test.…

A: Solution is given below:

Q: 4. The height h in centimeters of Shuntaro's pogo stick from the ground as he jumps on it since s…

A: We have to find the height at given times.

Q: 5. The height of a chair on a Ferris wheel is described by the function h(t) 15cos(t − 4) + 18 where…

A: Let's find possible height of ferris wheel.

Q: Evaluate the limits. Enter DNE if the limit does not exist. a) lim g(x) = x-9 b) lim g(x) = X-9+ c)…

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Q: Evaluate the following. [[ f (x, y) ds S f(x, y) = x + y S: r(u, v) = 4 cos(u) i + 4 sin(u) j + v k,…

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Q: Explain why a circle of radius 4 cm and a circle of radius 13 m have the same number of radians?

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Q: Differentiate parametrically to find x=3t², y=6t dy dx in terms of t:

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Q: Let x = 6.99999.... (a) Is x 7 X = 7 O x < 7 and x = 7 O It cannot be determined. (b) Sum a…

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Q: 3. Find the general solution of the differential equation y(4) — 4y" = t² +et.

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Q: ENAS X dx 1+419x

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Q: A line drawn from the origin and forming the angle t with the x-axis intersects the unit circle at…

A: As we know that, cosθ=basehypotenusesinθ=perepndicularhypotenusetanθ=perepndicularbase

Q: Use integration by substitution or integration by parts as appropriate to evaluate S given that A-4…

A: Given: A = 4 and B = 3.      ∫0π24xsin3xdx=4·∫0π2xsin3xdx=413-xcos3x-3·∫…

Q: 3. KIN 2 13² cos x V1+sin x dx

A: The given integral, ∫0π2cos x1+sinxdx

Q: Evaluate: L{cos8t} = Blank 1 Blank 1 Add your answer

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Q: DETAILS ▪. [1.05/2 Points] PREVIOUS AN Cost of Producing Calculators A subsidiary of Elektra…

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Q: Consider the following planes. 3x + 6y-z = 126 x 12y + 2z = 0 (a) Find the angle between the two…

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Q: sin 125Cos 65- cos 125sin 65 find exact value

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Q: 2 y = In (x-√x²-1), for 1 ≤ x ≤ √/485 (Hint: The length of the curve is (Simplify your answer)

A: Topic:- application of derivatives and integration

Q: Apply the divergence test for the given series. ∞ n=1 - (n-4)² Select the answer that best fits the…

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Q: 2. Demonstrate that the double angle formula for sin2x is derived from the compound angle formula…

A: Double angle formula for sin2x is sin2x=2sinxcosx. and compound angle formula for sin(a+b) is…

Q: Solve: -95A + 20B = 40 -20A- 95B = -190

A: given that  solve, -95A+20B=40 -20A-95B=-190

Q: Determine whether the lines intersect. If they do, find the coordinates of the point of…

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Q: -8 -4 Challenge #4 24 160 -8 0 -8 4 Plot four exponential functions. Each one should pass through…

A: we have to find the exponential functions passing through the blue point and the black point

Q: 4. Let g(x) = f(t)dt, where f is the function whose graph is shown. (a) At what values of a do the…

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Q: Draw the directional field for the differential equation. y' = y2 − 1   What can you say about the…

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Q: It is a fact that the function  f(x) =    25x2 + x − 5x  has a limiting value. Use a table of…

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Q: is there no numerical answer to this question?

A: Let's evaluate given integral.

Q: 790+ 711 632 553 474- 395 316- 237 158 79 concave up. 1 2 6 For the above quartic polynomial f(x) =…

A: To find the critical points of a function f(x) we find the first derivative of f(x) and equate it to…

Q: s²+1 Find the inverse of Laplace transform of log (² (s−1)²,

A: =L^-1[log(s^2+1/((s-1)^2) =2(e^t-cos(t))/t

Q: Find an approximation of the area of the region R under the graph of the function f on the interval…

A: Given problem:- Find an approximation of the area of the region R under the graph of the function f…

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

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Q: 5 1 1o ( 125 + 25x + 8) dx 6 1 X So (1 + x²)³dx 3 1 √ dx 1+x²

A: Given :∫05x2125+125x+e6dx∫01x1+x23dx∫11+x2dx

Q: 4(2¹ – 9) - O a) The sequence isbounded Ob) The sequence is unbounded an

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Q: Evaluate the geometric series or state that it diverges. Το 198 Σ k = 0 56 k Select the correct…

A: topic - geometric progreesion

Q: Directions: Find the inverse functions of the following one-to-one functions. Show the graph of each…

A: Given data:- The given one-to-one functions are, (1); fx=x+33 (2); fx=3x-4 (3); fx=2x+14x-1

Q: Find an explicit formula for the sequence defined recursively such that a₁ -4 and an = an-1 + 6.

A: We have to find the explicit formula

Q: The flu is considered dangerous when the number of people getting sick is growing at a rate…

A: We have to find the general equation of F(t).

Q: Find the exact sum of the following series O. In 3 2 1 In(3) --- / 2 In ( ²2 ) 32 3 In (²2) - ○…

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Q: 2).  Consider the logistic equation in the form P'(t) = CP − P2. Solve the logistic equation for C =…

A: Given problem:- Consider the logistic equation in the form P'(t) = CP − P2. Solve the logistic…

Q: che Root Test to determine whether the following series converges absolutely or diverges. 3k5 +k…

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Q: Find the nth term of a sequence whose first several terms are given. 11 17 23 29 4 9 16' 25' an = II…

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Q: O Graph the function f(x): ²x+4,-3 -6 -4 -22 7 6- 4- 2- 2 -2

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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: question 15 please

A: Topic:- integration