We can use L'Hopital's Rule to calculate " O True lim x18 O False x 2 (x - 2) (x + 2) although it is not needed. -

Q: 2x-5 dx x²-2x-8

A: To solve the following problem of Integration

Q: Consider the function y = g(x) y = g(x) = -x ² + 2x + 7 9x of the the limit definition to compute a…

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Q: 1. L{e¹2t}

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Q: Evaluate the surface integral F. dS where F = -2xy + x²j – 2yzk and S is the surface - z = xe³, 0≤ x…

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 6 - Lºcos…

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Q: If yo is the solution of the equations xy' + 3y = 2x, y(1) = 8, determine the value of yo(2).

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Q: Evaluate f (5ydy + 3xydx) C if C is the closed curve determined by the x-axis, the parabola y = x²…

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Q: How do you convert to cylindrical coordinates???

A: Given equation ( x2 + y2 )32  = 1  we want to convert the above equation in cylindrical coordinates…

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A: We need to find parametric and symmetric equation.

Q: Find the function y = ax²+bx+c whose graph contains the points (1,13), (-2,-8), and (2,28). What is…

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Q: Find the following limits for f (x) = lim f(x) 00 1-3- lim X-3+ If necessary, select the most…

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Q: Write a linear cost function for the following situation. A ski resort charges a snowboard rental…

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Q: 10. Use Law of Cosines to solve A = 108°, b = 89.2, and c = 23.1 a² = b ² + c² a² cos B = 2bc cos A…

A: Given query is to solve the triangle.

Q: If the function y = 2x² is integrated between the limits of x = - 3 and x = + 3, the result is ____

A: The function is given by y = 2x2 To evaluate: The integration of the function between the limits…

Q: Consider the given vector field. F(x, y, z) = 8xyezi + yze k (a) Find the curl of the vector field.…

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Q: Solve the system of equations using Cramer's Rule if it is applicable. 5x + 2y = 5 10x + 4y = 4…

A: 5x+2y=510x+4y=4

Q: 12) Set (et + 4) dt

A: Given,           ∫etet+4dt

Q: Solve the initial value problem given below. In your solving process, make sure to (1) write the…

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Q: 1. (3x - 1)y' = 6y - 10(3x - 1)1/3

A: Given differential equation:- 3x-1y'=6y-103x-113

Q: dy dx - y = ex ; y(0) = −2

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with   so here we have

Q: An arithmetic sequence has a15 = 86 and a34 = 200. Find a150. an = a₁ + (n − 1)d -

A: NOTE: Refresh your page if you can't see any equations. . it is given that

Q: In(x) − 4x² + 1 lim xxx² + 3x - 2√x

A: The given limit is limx→∞ln(x)-4x+1x2+3x-2x We have to find the value of the limit.

Q: Graph the parabola and find its vertex and axis of symmetry. 2 y = x² + 8x +9

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Q: If x units of a certain item are manufactured, each unit can be sold for a-bx pesos, where a = 125…

A: To find the maximum revenue.

Q: Mary Branson invested her summer earnings of $5000 in a savings account for college. The account…

A: Given Principal amount ( P ) = 5000Rate ( R ) = 6.5 % Time ( t ) = 6 months =0.5 years

Q: Differential Calculus Differentiate the following: • y = x5 - ex In(x) • y = 6ex - 7x ● • y = 2ex -…

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Q: (For Urban Planners & Developers). During a supplemental lecture, a Math Teacher presented a…

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Q: Evaluate the given Laplace transform L{t² *te¹} a. b. C. d. -2 (S-1)²s 2 (5+1)²5³ 1 (S-1)s³ 2…

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Q: Compute the percent relative error in computing the area of a square whose side is measured with an…

A: We need to find error in area.

Q: Part II. 1) y = cos(2x) sin(x) 2) y sin²(x) cot²(x) 3) y = 2 cos(x) − 6 sec(x) +3

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Q: If f(x) = et and 8(x) = xe~_e= Find the inner product of f (x) and g(x) on the interval [0, 2]

A: The functions are: fx = exgx = xe-x-e-x To evaluate: The inner product of fx and gx on the interval…

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.3…

A: The answer is given in step 2 and 3

Q: 1. C-1, 125 + 3 (s+5)2)

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Q: Find an equation of the plane passing through the point perpendicular to the given vector or line.…

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Q: 3. Use an addition or subtraction formula to find the exact value of cos 250° cos 40° + sin 250° sin…

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Q: 1. of fl) = 4x + 4/₁ find f (2), using the definition of derivative. f (2) is the limit as x-…

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Q: Use the definite integral to find the area between the x-axis and f(x) over the indicated interval.…

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Q: K Describe the end behavior of the polynomial function f. f(x) = 7x-2x³ Choose the correct answer…

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Q: 7. Let f(x) f(x) = lnx T + (lnx)² at tim f6x) = X-0 X-700 faxin Xin (0,2). Find

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Q: Use the Divergence Theorem to evaluate (5x + 11y + z²) ds JJS where S is the sphere x2 + y2 + z2 =…

A: We have to use the divergence theorem to evaluate the integral.

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

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Q: 1. S x²+x+3 (x-2)(x+1) dx

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: bair of dice is rolled. What is the probability of getting a sum of 11? What is the probability of…

A: Given query is to find the probability of getting 11.

Q: Find the solution of the following differential equations. Show your soluti 5. (4D³-4D2+ D-1)y=0

A: The given differential equation is: 4D3-4D2+D-1y=0   So, the auxiliary equation is: 4m3-4m2+m-1=0

Q: 2. Find the exact values or state that the expression is undefined. ¹ (¹) b. cos ¹(1.5) a. sin c.…

A: If x = sin -1(y) then y= sin(x) If x = cos -1(y) then y= cos(x) If x= tan -1(y) then y= tan(x)

Q: 6 SⓇ t4 In (3t)dt 3

A: Given query is to find the integral.

Q: e √(x + 2√y) ds Evaluate ds where C is given in the accompanying figure. C (1,1) C Alve y=x y=x² 1-…

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Q: For all of the following questions, assume x is in radians. a. Consider the function f(x) = sin(x).…

A: Given: y= sinx

Q: Assume the nominal interest rate for an account is 6% per year. Find the effective annual interest…

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Q: Two resistors, Rx and Ry, are connected in parallel. The two resistors are time-dependent such that…

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