[25/² – 36 dz Evaluate the integral: (A) Which trig substitution is correct for this intearal?

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Q: Find the Maclaurin series and corresponding interval of convergence of the following function. 1 f(x...

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Q: Given 3y = x^3 + 3x^2 - 9x + 3, Find the relative extrema of f by applying the second-derivative tes...

A: Given ,  3y=x3+3x2-9x+3. Let y= f(x) Above equation can be written as     y=x33+x2-3x+1     or   f(x...

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Q: Find the first five terms of these recursively-defined sequences: 9. a1 = 2, an = 2an-1 - 5

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Solve the initial value problem. y' = (x − 1)(y − 3),  y(2) = 3 y =

A: To solve the initial value problem. 

Q: Suppose that x = x(t) and y = y(t) are both functions of t. If x2 + y2 = 25, and dx = 2 when x = 3 a...

A: Given that x=x(t) and y=y(t) are both functions of t . If  x2+y2=25           ..(1) Differentiate eq...

Q: The length of an arc of a polar curve r = f(0), a < 0 < b, is given by the formula: %3D Find the len...

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Q: Find the solution to the initial-value problem. y' = ey − x, y(0) = 0 y =

A: Given,            y'=ey-x , y0=0To find : the solution to the initial-value problem.

Q: The acceleration of a moving particle in space is given by the vector function a (t) = 3t2 i + 4t + ...

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Q: use the rules of differentiation to find fhe derivative. g(x) = 2x² - 3x +1

A: Given query is to find the derivative of the expression.

Q: 2- 1l71 2 3 4 5 6 7 ++ 89 -1 -2 -3 -4 -5 -7 -8 What is the equation in general form of the ellipse w...

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Q: Find dyldt of y = sin (cost) and simplify. °v=- 1-t2 -t -Cos t Cos t y =

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Q: lim (25-x2 X-D4 lim ( 3x -2) X-D3 lim (ax2 +4x+5) X-DO X+1

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Q: 3. Find the dy/dx of * y? + 2x – 3y = 0

A: The given function,         y2+2x-3y=0

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Q: Evaluate the integral by applying the following theorems and the power rule appropriately. Suppose t...

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Q: x + y + exy = e a) Find dy/dx using implicit differentiation. b) Find the slope of the tangent lin...

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Q: Write out the first four terms of the Maclaurin series of f(x) if f(0) = 11, f'(0) = –4, f"(0) = 2, ...

A: Solution is here

Q: Find the indicated vector. Let u = (-1, -1), v = (7, S). Find u + v. O (-8, -9) O (7, 6) (6, 7) O (2...

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Q: Let / be the length of a diagonal of a rectangle whose sides have lengths x and y, and assume that x...

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Q: Use the percent formula, A =PB: A is P percent of B, to answer the following question. 3 is 40% of w...

A: Note :- These are the multiple questions. According to our company guideline we can do maximum one q...

Q: 11. The maximum point of the curve * y =r' - 3r° + 4 is at

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Q: Euler's method. y' = y + t2, y(0) = 5; exact solution is y = 7et − 2 − t2 − 2t Estimate the solution...

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Q: Write an equation for the function graphed below.

A: A graph is given in the question which is passing through point-10,0, -4,0, 0,10 and 6,0 andx=-3 and...

Q: Solve and check the equation. 6x – 5(x+ 6) = 2x - 3 Select the correct choice below and, if necessar...

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Q: 1. The product of two numbers is 24. Find the numbers if (a) the sum of the two numbers is minimum, ...

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Q: ³ +5 dx r4 – x3 + x²

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Q: lim X+2 X- 3 X-2

A: "Since you have asked multiple questions. We will solve the first question for you. If you want any ...

Q: 6. Determine the y'of * y = eese 3x

A: topic- derivative of a function

Q: In a certain manufacturing process, when the level of production is x units, the cost of production,...

A: This question can be solved by using the concept of absolute maxima and absolute minima.  

Q: If a circle with center at C(2, 3) that passes through the point P(8, – 5), which if the following p...

A: NOTE: Refresh your page if you can't see any equations. . the center of the circle is  and the poin...

Q: Write each of the following in Sigma notation: 1 7. 1 1 1 1 6. 3 + 6 + 9 + 12 + 15 1?* 2* 32

A: Given query is to write the sequence in Sigma notation.

Q: s the area of the shaded region equal to the area of unshaded shaded?

A: Yes, Area will be equal of shaded region and unshaded region.

Q: Find the area of the surface generated by revolving the curve 1 V1+e*, 5x 0 < x < 2 around the x-axi...

A: We can find the area of the the surface as follows 

Q: 3 2x – x 1 dx = - arctan(x) – x - 1 -- In \x – 1| + 2(x – 1) 1 + C - (x – 1)²(,² + 1) 2

A: In order to evaluate the integral, firstly we need to split it into partial fraction and then integr...

Q: ind the solution to the initial-value problem. y' = −6x tan(y), y(0) =  ? 2 y

A: To find the solution of initial value problem

Q: Find the points on the sphere x2+y +z = 109 where f(x,y,z) = 6x + 8y + 3z has its maximum and minimu...

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Q: etermine whether the geometric series is convergent or divergent. If it is convergent, find the sum....

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Q: If r(5)=0, then which of following must be true? Olimf(x)=0 x+5 f(x)-f(5) -o lim x-5 X-5 fis continu...

A: Here we have given that  f'(5) = 0 We have to find which option is correct.

Q: Consider the series (x – 6)6 00 (x – 6)8 8. 4! (x – 6)4 Σ a, = (x – 6)² + + 4. 3! +... 2· 2! n=no Fi...

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Q: 9 Chapter 3.4, Problem 187E Express the rational function as a sum or difference of two simpler rati...

A: Concept -factorized the rational express

Q: Suppose g is a function which has continuous derivatives, and that g(0) = - 10, g'(0) = 9, g "(0) = ...

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Q: The graph of Y = = Vx is given below: 5- 4 -5 -4 -3 -2 -1 1 2 3 4 5 3.

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Q: 1.) Explain why the integral below is an improper integral and what two integrals tell us whether it...

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Q: How do I subtract fraction

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Q: (x- h)?, (y-k)² Which of the following is true about ellipse with equation in standard form 1, a>b? ...

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Q: Find the general solution to the differential equation. x2y' = (x + 9)y

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Q: O Paused Upc webassign.net/web/Student/Assignment-Responses/submit?dep=28727898&tags=aut... The prof...

A: topic - application of derivatives note : as per bartleby guidelines, we are supposed to answer only...

Q: 7. In the sequence 20, 14, 8.e which term has a value of -70?

A: Given, 20,14,8..... The series is arthematic because constant difference Formula: Arthematic nth num...