Find the average value of the function f(x)= e²x on the interval [0,4]. O a. 372.5 O b. 1490 O c. 745 O d. 186.25

Q: 39. An airplane travels due east for 2 hours, at 320 miles per hour. Then it changes course to S27°…

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A: Here we have to integrate the given Integral.

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A: 1) Hee, note that the first series first term it self a infinity.

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Q: 2Su° (4 + u°)°du

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A: Please refer to the image below

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Q: Vr2 – 2x – 3x (x² 4. lim 4x + 5 (72 25) ten2(r1 2)

A: first we will take x common from numerator and denominator, then take limit.

Q: Find the Taylor polynomial of order 3 generated by f at a. f(x) = x? + x + 1, a = 5 O P3(x) = 1 +…

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Q: 3 of its radius. 4 Mohamad Salah poured orange juices into a cylindrical red tank whose height f the…

A: Topic:- application of derivatives

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Q: れ ポ+n3 lim (nj)2 + n4 j=1 n-00

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Q: I. Show that the function f defined by (r, y) = (1, –1) f(r.y) 2 + y (x, y) # (1, -1) is not…

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Q: Express the number as the ratio of two integers. 0.8333333 ... 3 3

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Q: 2 is a critical number of the function f(x) = /2x – x². Select one: OTrue O False

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Q: Question #9 C16: “Find the exact value of a definite integral by interpreting it as difference in…

A: We have to solve definite integral using area.

Q: +)Use the Runge-Kutta Method SeVelue:.

A: Given y′=(1+1/x)⋅y,y(1)=2.7183,h=0.2,

Q: number 3 please...clear solution

A: Topic:- limits calculus

Q: Evaluate the limits lim x² – 1. X-4 15 -17

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Q: Given the graph of f, determine the signs of f(a), f'(a), and f"(a). + + + a b d. /f(x) f(a) is […

A: Given the graph. Determine the sign of f(a), f'(a) and f"(a).

Q: s2 3- L-1 (s-2)2.

A: Take a partial fraction

Q: Using Lagrange multiplier method to find the maximum and minimum value of the function f (x, y) = xy…

A: We have to find the minimum and maximum value of the given function.

Q: 19) y"- 4y'+5y= 0, y(0) = 1, y'(0) = 2.

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Q: Find the interval of convergence of the series. Sn=00 (z-8)" n=1 n+8 O -1 < x < 1 O - <z < -00 <x<…

A: We ahve to find the interval of convergence of the series.…

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Q: Find 8 L-1 s2+4s+20.

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Q: Find all solutions to the equation. 2 sinx- cosx=1 Write your answer in radians in terms of t, and…

A: Given: 2sin2x-cosx=1   As we know that; The general solution of the trigonometric equation cosx=cosα…

Q: VI. Use Lagrange Multipliers to solve the following: Maximize f(r, y, z) = 4r + 2y + z subject to z?…

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Q: 1. Evaluate the following integrals. 3r5 (a) / dr V2 – x3 2" + e2" sin(2") sin(2=) dx 2x +3 (c) / dx…

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Q: 6. The average value of f(x, y) over the rectangle R = {(x, y) | asxSb, csysd) is 1 fave (b- a)(d –…

A: We have given that average value of function is favg=1b-ad-c∫∫Rf(x,y)dA

Q: The correct choice to draw lines from point (160,120) to point (160,250) is 40,250 160,250 260,250…

A: Given problem:-

Q: 1. (3 - 14)3 =? (Put your result in polar form)

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Q: Find g(x) given that g'(x) = cos x and g(π/2) = 4.

A: Given; g'(x) = cos x and g(π/2) = 4.

Q: : Find the area of the region R enclosed by the lines y= x, y x/3 and y = 2?

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Q: 1 Given f(x) =x2- 1, find the value f(p). p² + 1 p² - 1 p² - 2p + 1

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Q: Julissa wants to find the measure of ZA in A ABC. Step 1: 11 = 7? + 9 - 2·9.7.co COS X Step 2: 121 =…

A: A detailed solution is given below

Q: Find all solutions to the equation. 2 sinx- cosx=1 Write your answer in radians in terms of T, and…

A: The general solution of cos x = cos y is  x = 2n π ± y  , n ∈Z

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Q: To find a particular solution for y" - 36y = 44 sin(21) %3D with the method of variation of…

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Q: (b) Find the values of a and b so that the function = x + ax + b has a local maximum at the point…

A: topic - application of derivatives

Q: ind the area of the triangle whose vertices are given below. А(0,0) B(-4,3) С(3,1)

A: answer is in next step

Q: Find the area of the region bounded by the graph y = sin x, y = 0, x = 0 and x =3π/2. Sketch the…

A: Here we have given following equations : y=sinx,  x=3π2 and y=0, x=0

Q: Find the measures of the angles of the triangle whose vertices are A = (- 1,0), B= (2,1), and C= (2,…

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Q: Suppose that f is defined everywhere and 1 are the only critical numbers for f. If f"(x) = 2x + 1,…

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Q: C}- 9 in R2 linearly For what values of x are the vectors Determine whether the vectors 1 and v. 10…

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