Find a formula for the general term anan of the sequence assuming the pattern of the first few terms continues. {9,8,7,6,5,...} an=

Q: Question Find the area of the region inside r = √2sin (0) and outside r = 1. Enter an exact answer.…

A: To find area of the region.

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If l'Hospital's Rule does not apply,…

A: Rule

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Q: J x ln x dr

A: Given query is to find the integral.

Q: 5 Consider the initial value problem y'=6x + 1, y (0) = − 2. Using Euler's method with a step size…

A: The given initial value problem is y'=6x+1, y0=-2.   The objective is to find y5 using Euler's…

Q: Find all critical numbers of f(x) = 1 + 3x² - 2x ³ State whether these critical numbers are local…

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Q: 1 /₁+422da dx 1+ 4x2 15. Evaluate (a) tan-¹(x) + C (d) tan-¹(2x) + C -1 (g) tan-¹(x) + C (j) None of…

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Q: Find all solutions of the equation in the interval [0, 2). cos =5/3 If there is more than one…

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

Q: DUE NOW. PLEASE ANSWER. THANKS!

A: We need to find out the y" for the given system.

Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Enclose arguments of…

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Q: Find the radius of convergence, R, of the series. R= n=2 4n! Find the interval, I, of convergence of…

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Q: 0 1 2 A drone flies in a straight line with a positive velocity v(t), in miles per hour, at time t…

A: Please see the below picture for detailed solution.

Q: fe Given that ex dx = = e³e, use this result to evaluate 3 7ex +6 dx.

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Q: 10) Test the series for convergence or divergence 7(-e) Use Divergence test identify the…

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Q: g. y=5²+-8-tan (log(x-3x²))

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Q: 1. Find the intervals on which f is increasing and 3x²+2x+2 11 + 2z. x²+x+2

A: for incresing  f'(x)>0  and for decreasing f'(x)<0for critical points put f'(x)=0dxndx=nxn-1

Q: The marginal profit for a certain style of motorcycle helmet is given by P′(x)=37−0.19x dollars per…

A: To find the profit for the first 74 motorcycle helmets that are produced and sold.

Q: NEEDA HELP WITH THIS

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Q: dx So 5x + 1 5x+1

A: ∫0315x+1dxLet u=5x+1.=∫11615udu=15·∫1161udu=15lnu116=15· 4ln2=45ln2

Q: . Find the intervals on which f is increasing and the intervals on which f is decreasing, 1(z) = -1…

A: To determine the interval where the function increases or decreases

Q: If E is the solid described below with density function p(x, y, z) = x² + y², find the following…

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Q: Suppose you know lim an 11-> 00 0100 What do you know about the convergence or divergence of the…

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

Q: Give a parametric representation for the straight line segment from the point (1,-1,2) to the point…

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Q: Which of the following is not a way for a derivative to fail to exist? c. vertical tangent d.…

A: As we know If function discontinuous at a point x=a,then there must be non differentiable at x=aSo…

Q: a. Vertex (8,0) AB. Domain of P(X) 3 of P(x)? C (t B (t ☆ C. cxis = Renge of sym 3 D. The largest…

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Q: 4. The series • n=0 1-5n² 3n²+1 n (a) is Absolutely Convergent (b) is Conditionally Convergent, but…

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Q: Evaluate the following integral in cylindrical coordinates. 4 √2 √4-x² ss sex²-y² dy dx dz 00X

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Q: 9. (1+ sin 0) de

A: To evaluate the given integral

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A: We need to find out the integration of the given integral.

Q: se the following table to answer parts 1-4 below. Part 1 ▸ Part 2 Part 3. Part 4 - fh(x) h'(4) 1…

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Q: 3.)  This is differential Calculus subject. A PARTICLE IS MOVING ALONG A HORIZONTAL LINE ACCORDING…

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Q: 5x³-4x² + 3x 2 x² Find the most general antiderivative of the function: ƒ(x)=-

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Q: Problem x²¹-2x+2 dx x² I Solution

A: Given query is to find the solution of the integral.

Q: Find the area of the region between the graph of y = x² – 12 and y - = 3x - 8.

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A: We need to graph the given polar equation.

Q: 1 4x-3 dx

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Q: Evaluate the following integral in spherical coordinates. √ffe (²+y - (x² + y² +2²) 312 D dV; D is a…

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Q: A hot-air balloon is floating above a straight road. To calculate their height above the ground, the…

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Q: Which of the following equations represents a parabola with vertex (5,2) and directrix y = - 2? (А)…

A: Let's find equation of parabola.

Q: (e) [₂ -2 xVx+2dx U = x+2 du = 3 (1) fe el/x x2 -dx

A: SOLUTION-

Q: Find two positive integers such that the sum of the first number and four times the second number is…

A: Solution: Let the first number =x         The second number = y

Q: 12. f sec¹x tan³x dx

A: We need to find out the integration of the given integral.

Q: s) The monthly income from car sales, "M" (in thousands of dollars) at a local dealership is related…

A: The answer is in step 2.

Q: 2 The function f(x)= x3 does not satisfy which of the following conditions on the interval [-1, 1]…

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Q: Find the interval in which the function given by y = 4x³ - 6x2 - 72x+30 is concaved downward. O A.…

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Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Enclose arguments of…

A: We can  evaluate the given integral by using the following formulas.