Find the area of the surface generated when the indicated arc is revolved about the x-axis. x^2+y^2=16 from x=2 to x=4

Q: Find a polynomial function with real coefficients that has the given zeros. (There are many correct…

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Q: b) Find the sum of the series 10" -1 Σ n =1 11"+1 The sum = c) Find the exact partial sum S, of the…

A: We know that in a geometric series, the sum of infinite terms = a1-r and the sum of first n terms =…

Q: Given ∫(x5−3x4+6x3+3)dx, evaluate the indefinite integral. Do not include +C in your answer.

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Q: 9! Calculate 7. 4! 5! 3024 15120 1814400 126

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Q: In this figure, p || g. Find the value of x. (9x + 12)° (x-2)° >4

A: Topic = Geometry

Q: One face of the semicircular fin shown in the figure will be painted blue, with a circular hole…

A: Given:  A quarter circular fin with a circular hole. AB = 120cm.  Thickness of paint = 2mm  = 0.2cm…

Q: Grandma Riley wants to help Scott while he's in college by giving him a $220 monthly allowance for 5…

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Q: 4 d) En=2n-1 4n2 e) 0 En=1 n2+1 4 f) En=2 n2-n (Use partial fraction decomposition)

A: Explanation of the answer is as follows

Q: d) L{e f, sin dr}

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Q: 6 Evaluate the fallowing integral.

A: Given,            ∫2cos4xdx

Q: Suppose that f and h are integrable and that: i fx) = -1, f(x) dx = 5, h (x) dx = 4 ,Find: a. S–2…

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Q: Use properties of exponents to write the function in the form f(t) = ka', where k is a constant.…

A: Solving the problem by finding the simplest form of the given expression.

Q: Find the limit. Use l'Hospital's Rule if it is appropriate. If there is a more elementary method,…

A: Find your answer below

Q: Find the area between the following curves: x = y +1 and x = y² – 1

A: topic - area bounded by curves

Q: Evaluate the integral. |cos *x sin xdx Scos 4 cos "x sin xdx =

A: To find the value of given integral .

Q: Use the graph of the polynomial function f(x) (a) to solve f(x) = 0, and (b) find the factorization…

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Q: Let f(x) be the function 2x – 11x + 5. Then the quotient f(5 + h) – f(5) can be simplified to ah + b…

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Q: Find all Critical points of the function : 2 f(x,y) = 4x° + 6x°y+ y° - 10y? - 48y + 18 Critical…

A: Given problem:- Find all Critical points of the function :   f(x, y) = 4x3 + 6x2 y + (2/3)y3 - 10y2…

Q: Suppose that a particular function f satisfies f" (x) = 12x? + 6x + 8, ƒ(0) = 1, f' (0) = –1. Then…

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: Determine whether the following equation represents exponential growth or exponential decay.…

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = (2, 15) - (-) 3 v = O parallel O…

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Q: The half-life of caffeine in the body is approximately 5 hours (Brachtel and Richter, 1992). If you…

A: Here, given that the half-life of the caffeine in the body is 5 hours and P0=50 mg. Now, we have:…

Q: a) Find the second and the ninety-seventh term of the sequence 8 15 22 29 ( 18' 33' 48 ' 63 the…

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Q: fine Use FTC-1 to find the derivative of the function g(y) dz 1+ %3D

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Q: Here is a graph of the function f. 4- 3+ 2- -3+ -4+ Use the graph to find the following. If there is…

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Q: 2/3 ; 1 <x < 8 3 Problem #2: y =–x 2

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Q: A/ 10 Evaluate 4/1+ cos 10x dx. A/ 10 4/1+ cos 10x dx =

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Q: 1. a) A pond initially contains 500, 000 gallons of unpolluted water has an outlet that release 10,…

A: Let x(t) be the amount of pollutant in grams in the pond after d days Here we use a formula; Total…

Q: The integral gives the area of the region in the xy-plane. Sketch the region, label each bounding…

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Q: Find the derivative of the function F(s) = In(9 ln(8s)). F'(s)

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Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a…

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Q: ds The position of a particle at time t is given by s. Find the velocity dt s4-7st+2t-3t= 0 ds dt

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Q: B. Find the area bounded by the given curves, the y-axis and the given values of y. Sketch the…

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Q: ;Which sequence is increasing ? 7n-21 4n -7n+2 4n 4n+2 7n 7(-1)" 4 None of the others

A: We need to determine which sequence is increasing.

Q: Evaleuate use integration by-lacts.

A: ∫x2e-3xdxUsing integration by parts

Q: Evdluate the following integral, S Sin3xcosxdx

A: Use the method of substitution and solve the integration.

Q: The function h(t) represents the height of a ball above the ground (measured in feet) in terms of…

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Q: 12x Find a power series for f(x) = |x| an. (x2 + 1)? n=1 -1 Hint: First, find the power series for…

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Q: For each item, find an equation of the plane with the given properties: (a) containing the points…

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Q: Find the limit. Use l'Hospital's Rule if it is appropriate. If there is a more elementary method,…

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Q: Find the equation of the tangent line at the given point on the curve. 2x2 + 2y? 29y-y e 58x/5, .2…

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Q: Let T3 be the Maclaurin polynomial of f(x) = e*. Use the Error Bound to find the maximum possible…

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Q: Consider the following. x - 2 f(x) = x2 - 4 (a) State the domain of the function. O all real numbers…

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Q: If m s f(x) < M for a s x s b, where m is the absolute minimum and M is the absolute maximum of f on…

A: Given problem:-

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Q: While solving a system of three linear equations to find the intersection of three planes in R 3,…

A: When solution reduces to z=0, it clearly mean intersection is somewhere related on x-y plane…

Q: Show that f2x² dx = J; 2x² dx + [° 2x° dx + f° 2x° dx %3D

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Q: Determine whether the following equation represents an exponential growth or exponential decay.…

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Q: 1. The sum of two positive numbers is 10. Find these numbers if the sum of their squares is a…

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