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Q: Question 8 Let f (x) and g(x) be antiderivative of h (x), The which of the following is true? d A -(...

A: Given problem:-

Q: Question 13 Evaluate: (6x2– 6x + 6) dx A 10 96 12 - 16 E None of the given choices

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Q: The following integral will be evaluated using integration by parts with the indicated choices of u ...

A: The objective of the question is evaluate the indefinite integral by parts.

Q: Determine whether the series converges using the limit comparison test. 6k2 – 2k + 7 Σ 30k6 + k – 30...

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Q: Solve the logarithmic equation for x : log2 (x - 2) + log2 (x - 3) = 1

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Q: 13. R(x) = (2x+6)(x-1) (4-x)(x+2) Find any vertical asymptote(s) and any horizontal asymptote(s)

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Q: if r 5 3z, Given the function f(x) , determine which among I- 4, Va, the following limits do not exi...

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Q: Determine whether the series converges. 00 1 Σ k+19 k=1 The series eTextbo diverges converges

A: ∑1∞ 1/(k+19) =∫1∞ 1/(k+19) =ln(k+19)]1∞ =∞ - 0 =∞ so the series is diverges to ∞

Q: Classify: The weight of a professional boxer. O Dicreet O Continuous

A: Sollution

Q: Consider the following. y = 3   (x − 4)2(x − 8)2 y = 0 x = 4 x = 8   Use the integration capabilit...

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Q: 60. For what positive integer k is k+5 a factor of k2+11 while k+11 is a factor k2+5? ANS. 7

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Q: 18. What is the integrating factor of the differential equation y' =cscx-ycotx ? a. tan x C. sinx b....

A: This is a question related to differential equation. Based on the formula of integrating factor we w...

Q: əz and əx əz 9. If x²y + y²z + z²x = 10 , where x and y are independent, determine ду -x2-2yz az ans...

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Q: 6. 6- 4. 2 - 8 10 12 -2- 4- -6 8.

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the equation...

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Q: diverges. Ifit conveges, find the Determine whethe the seauence converges or 3n an=

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Q: f(a + h) – f(a) a. Use the definition młan = lim to find the slope of the line tangent to the graph ...

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Q: Use the difference an+l a, to show that the given sequence {a,) is strictly increasing or strictly d...

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Q: Find a differential equation that corresponds to the given direction field. Consider differential eq...

A: From The Direction Field : Slope Field at y = 3 is Parallel to t - axis So, Slope at y = 3 is 0. so,...

Q: B In Problems 23-62, summarize the pertinent information ob- tained by applying the graphing strateg...

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Q: Obtain the differential equation of the family of circle with center on the x-axis

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Q: Evaluate. Show all your work. 1 .2 1-x

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Q: a. For the function and point below, find f' (a). b. Determine an equation of the line tangent to th...

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Q: If y = x – 1, find the length of the graph of f from point x = 0 to x = 1. 3

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Q: a. (2xy – y)dx+ (x² – x)dy = 0 b. 2xydx + (y? + x? )dy = 0 c. 3y(x? – 1)dx - (x° +8y – 3x)dy = 0 d. ...

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Q: 4x + 2x + 3. If Ax 0.1 at x = 5, use Let y = linear approximation to estimate Ay Ay 2

A: A detailed solution is given below

Q: The following situation applies to the attached question The fluid pressure (in atmospheres) at the ...

A: Px,y = 1+ x2y10Where, P : Fluid pressure in atmosphere at the bottom of a body of liquid of       va...

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (– 1)k+1 Σ 5k ...

A: The series ∑k=1∞1kp is divergent if p≤1 and convergent if p≥1 by P-test. A series ∑k=1∞ukis said to ...

Q: Evaluate the integral. Show all your work. S sec? xdx

A: The given integral is solved below in detail.

Q: the strong Allee effect is a population that satisfies rz (5 - 1) (1 – ), dx | dt A where 0 < A < K....

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Q: Evaluate. Show all your work- | sin(5.x) cos(8x)dx

A: In this question we have to solve the Integration.

Q: Determine whether the alternating series converges. k + 1 | 10k + 1 k=1 O The series converges. O Th...

A: In this question we have to find whether the series is convergent or not.

Q: 10x2 5x Evaluate : - lim 5x2 + 16 О 2.000 O 0.312

A: We will find the limit. 

Q: 5х — 7 (х — 3)3

A: 5x-7x-33The denominator factors are (x−3)3.   For the repeated factor of (x−3),   the decomposition ...

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the s...

A: To find the volume.

Q: Consider the region bounded by the graphs of y = ax", y = ab°, and x = 0. (b > 1. See Figure.) (a) F...

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Q: What is the particular solution of the linear differential equation yl = x³ – 2xy; when x = 1, y =1?...

A: Let's find.

Q: Determine whether the series converges using the limit comparison test. 4k2 – 2k + 5 Σ 16k6 + k - 16...

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Q: Determine whether the series converges; if so, find its sum. Otherwise type N in the blank. 00 1 L K...

A: The given series is sum of 1/[k(k+2)] ,k=1 to infinity.

Q: A number of matrices are defined as [A] = |1 2 l5 6] [4 3 71 [B] = |1 2 6 l2 0 4] Perform the follow...

A: Note: Since you have posted a question with multiple sub-parts we will solve the first three subpart...

Q: How did he get the value inside the circle? 2も elt b 3/4 34-1 2/4 314 /4 3/4 to 2

A: The given problem is solved below in detail.

Q: 3. Use double integral to find the volume of the cylinder-like object that exists above the first qu...

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Q: 4. Determine the value of n such that Sn can be used to approximate the number of the following seri...

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Q: Find

A: We will solve find the anti derivative or integration. 

Q: Evaluate. Show all your work 1 dx 1-x²

A: By see this solution in below

Q: 3. Eliminate the arbitrary constants c, and c, from y =c, +C,e* y" - y +x = 0 c. y" - 3y' = 0 a. b. ...

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Q: 1. Find the area of the region bounded by the graphs of the equation y = x and y = x?. 2. Find the a...

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Q: iven a projectile that hits a vertical wall as shown, a) If V, = 120 m/s, 0 = 30°, find the range (R...

A: Find your answer below 

Q: If 1=- and V= 250 volts, R = 50 ohms. Determine the change in I resulting from an R increase in 1 vo...

A: Given I=VR   , V=250 volts     , R=50 ohmswe want to determine the change in I when   ∆V=1 volt  ,  ...

Q: Obtain the differential equation of the family of circle with center on the x-axis ? a. yy" +(y")²-1...

A: