Question 8 Integrate the function. dx V9 - x2 COs:1 X+C 2 cos x+ sin x+C D sin *-C Question 9 413

Q: estion 7 Find an equation of the plane containing the points A=(1,0,2), B = (-1,1,2), C= (5,0,3). Fo...

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Q: Write the general antiderivative. (Use C for the constant of integration.) x2+1 dx 5x Need Help? Rea...

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Q: Find the solution of the following Differential Equations 2) y-16y 0

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: e the graph to state the absolute and local maximum and minimum values of the function. (Enter your ...

A: Given query is to find absolute maximum and minimum value of the function.

Q: 5. Use the pascal's method or term formula to write and expression for each term (a a. ts3 b. t15,12...

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Q: Evaluate by any applicable method. T/2 S cos sin y dy 60 120 60 None of the choices. Please refer to...

A: Topic = Integration

Q: Number 8 please

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Q: Suppose f(x) is continuous and increasing on [a, b], and concave up on(a, b). ISM6 (the Midpoint Rul...

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Q: 3. Use the Comparison Test to determine if the series 5n – cos 2n - n3 + n² + 1 n=1 converges or div...

A: Use the comparison test to determine the series.

Q: х — х? -Зх- 2 dx - x' + 4x? - 4x | 4

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Q: FIND THE AREA LYING ABOVE THE X-AXMS AND UN DER THE PARABOLA y= 4x- x?

A: Our Aim is to find the area lying above the x-axis and under the parabola y=4x-x2.

Q: Directions: solve the following. 1) what is the derivative of 6x4-7x3 + 5x2?

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Q: Let u = i +j and v = 5i - 3j. Input answer with NO SPACES. Find 3u - 2v:

A: Given that         u = i + j     and  v = 5i - 3j Here we have to find 3u - 2v .

Q: Use the determinant theorems to find the value of the determinant. -4 5 - 1 8 - 1 4 - 7 9 8 3 1 1 Th...

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Q: 20x + 1125 The average cost for a company to produce x units of a product is given by the function A...

A: Given problem:- The average cost for a company to produce x units of a product is given by the funct...

Q: Consider the points A(2, –3, 4), B(4, -5, 1), C(-2, –4, 1), and D(4, 2, –6). (a) Find the volume of ...

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Q: Find the area bounded by the line x - 2y + 10 = 0 and the x – axis, from x = 0 to x = 10. %3D 1. Slo...

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Q: Let x be a continuous random variable over [a,b] with probability density function f. Then the media...

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Q: The cost of producing a car depends on the price of steel (s) in dollars per pound and the hourly wa...

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Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

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Q: A normal vector for the plane through the points (2, 5, 1), (3, 7, 0), and (2, 5, 2) is <

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Q: Find the general solution of the equation: у" - у' - бу %3Dexp(-x) - 7 сosx

A: Given : y"-y'-6y=exp(-x)-7cosx

Q: Tank A contains 407 litres of brine holding 181 N of dissolved salt, and tank B contains 407 litres ...

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an f(x)...

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Q: Number 62 please

A: 62.] Concept:- For an alternating series let the sum of partial sum is sn then sn - sn-1 for n&gt;= ...

Q: Find the solution of the following Differential Equations 2) y-16y 0 4) y-y'-6y 0 6) y-2y'+2y =0 8) ...

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Q: 10) An area is approximated to be 14 in using a left-endpoint rectangle approximation method. A righ...

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Q: Use the Comparison Test to determine if the series Σ 5n Cos 2n n3 + n2 + 1 n=1

A: By looking at the series we get that the series is similar to ∑n=1∞1n2. So,                 limn→∞ 5...

Q: Use implicit differentiation to find y' and then evaluate y' at (3, - 4). 5xy + y+ 64 = 0 y' =D y'l(...

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Q: Evaluate the Riemann sum for f(x) = 2x - 1, -6 s xs 4, with five subintervals, taking the sample poi...

A: right reimann sum

Q: building that is 225 feet tall casts a shadow of various lengths as the day goes by. An angle of ele...

A: The objective is to solve the above question.

Q: Find the equation(s) of the tangent line(s) at the point(s) on the graph of the equation y -xy + 12 ...

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Q: Problem 2. Find all pairs (s, t) of Gaussian integers s, t e Z[i] that satisfy (7+4i)s+(11+2i)t = 3+...

A: We have,

Q: by L'Hopital's rule 1-cos(x) lim x2

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Q: 13. dx x5-3

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Q: Set up an integral for the volume a solid torus (the donut-shaped solid shown in the figure) with ra...

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Q: Directions! show the following. f3-x x22 is dircontinuons on the interal (-,2| %3D -3

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Q: Find the points of Intersection of the graphs of the equations. x+y%= 15 -3x +y%3D 11 (x, y) = (smal...

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Q: 9. S sin(4x – 2) dx

A: We have to answer question 9.

Q: Show detailed solution to the following using ti integration. x'dx 1. Integration by Parts J Vx4-5

A: Let's find. 

Q: Find the particular solution of the differential equation that satisfies the initial condition. (Ent...

A: Given: yx+5+y'=0 ; y-10=1   We know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And ∫1ax+bdx=1alnax...

Q: Given f(x)=x+2Jx. Use the definition of derivative to find f'(x).

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Q: lim[r(t) X u(t)] = lim r(t) X lim u(t)

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Q: Find a specific solution to the initial value problem. 1 dy sec x tanx when y co)= 1 dx- 4

A: Given that       {1/(5y4+2e2y)}dx - (1/secx.tanx)dy = 0

Q: Exercise 1: Directions: Evaluate the following integrals. Show your complete solutions. Identify the...

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Q: x' - x' – 3x – 2 dx x* - x' + 4x? - 4x

A: We will solve the integration using partial fraction. 

Q: C(x) = 0.01x-0.3x + 9x gives the cost, in thousands of dollars, to produce x thousand items. (a) Fin...

A: (a).C(x)=0.01x30.03x2+9xC'(x)=0.03x2-0.6x+9 (b)C'(0)=9    

Q: dx -∞ (2x-1)3

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Q: Find the equation(s) of the tangent line(s) to the graph of the indicated equation at the point(s) w...

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Q: Solve by Chain Rule g(t) = sin (e1-t + 3 sin(6t))

A: Solution is written in below steps.