Evaluate the surface integral. x²yz ds, S is the part of the plane z = 1 + 2x + 3y that lies above the rectangle [0, 1] × [0, 2]

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Q: Find the area under the graph of the function over the interval given. 26) y = ex; [-2, 8] A) e8__1…

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Q: 4. /xln2xdx хрх

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Q: 1. Write as a piecewise function f(x) = |x +4| X- - 5*

A: put x+4=0x=-4when x≥-4 , f(x)=x+4when x<-4,  f(x)=-(x+4)=-x-4

Q: 44. |2x - 11dx

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Q: Compute the definite integral (Hint: You will need to use integration by parts twice). fe 0 -X е cos…

A: ∫u.vdx=u∫vdx-∫dudx∫vdxdx∫cosxdx=sinx+c∫sinxdx=-cosx+c

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A: To determine from the graph whether the function has any absolute extreme values on a, b.

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Q: In Exercises 1-8, solve each triangle. Round lengths of sides to the nearest tenth and angle…

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

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Q: COPY EDIT NOTE: THIS SHOULD NOT BE A PARTS QUESTION. Find each of the following. a = b = (a) a + b…

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Q: how many triangles b = 19 mine <A = 26° a = 14 T 1 form if :

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Q: 2. Show that csc(2t) = tan(t)+cot(t) 2

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Q: Question 12 Find the Maclaurin series for the given function. sin 5x 8 n=0 O M: M: M: n=0 n=0 n=0…

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Q: Answer the following True or False. The following properties hold: Π n m Σ(αι + b) - Σα+ Σ Caj = η…

A: We need to determine correct option.

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A: The line passing through the (1, 2) and the point intersection to the lines 3x + y =5 and 2x - 5y -…

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Q: Evaluate the integral (2x + 5) (x² + 5x + 9) ³dx 3 by making the substitution u = x+5x+9. + C NOTE:…

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Q: Complete the chart to give the Example: x² + y²-2x = 0 r²2rcos0=0 r(r-2cos0) = 0 r = 2 cose…

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Q: 2. Solve the equation for x. Pay attention to the domain of the natural log: In In x + ln (2x + 1) =…

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Q: 10. Determine whether the following series converge or diverge: (Integral Test) a) En=2 In (n) n 1…

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Q: Consider the following functions. f(x) = g(x) = 2x + 8 X Find (fog)(x). Find the domain of (fog)(x).…

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Q: Find the points on the curve where the tangent is horizontal and where the tangent is vertica x = t³…

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Q: Evaluate the definite integral. 3   0 ex 5 + ex dx

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)…

A: We need to find the Taylor series of the given functions using the definition of Taylor series.

Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. 5 Σ n=1…

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Q: Un n→∞ Un If lim Σun is divergent. n=1 n= no conclusion can be made. = Both 0 and Un = Un is…

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Q: Use the Root Test to determine the convergence or divergence of the given series or state that the…

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Q: For the tangent line to the curve at the origin for r = 2sin20

A: Solve the following

Q: 9. Determine whether the following series converge or diverge: a) Em=o -2n

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: The acceleration function (in m/s²) and the initial velocity v(0) are given for a particle moving…

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Q: Example 1: Solve the differential equation: y (4) - y"" + 2y = 0

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Q: f(x) = ln (arctan (x))

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Q: (2) Compute the volume of the solid between the surfaces z = 100 − 4(x² + y²) and z = 0. - 4(x² +…

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Q: √2+√3 1. Show that 2 sum or difference identities and (b) half-angle identities √2+√6 4 π by solving…

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Q: Evaluate the definite integral D = D = [²1+1/2u² = 2/5u³ du NOTE: Use exact values only. Do not…

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Q: Consider the following. - 131 +² 5 f(x) = 4x y 20 15 10 5 6.20 ( 4x x 5 5 y = 4 x 10 I 2/5 (a) Write…

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Q: 15 If ƒ [ f(x) dx = 1/2 and ["f(x) dx = 5, then [*f(x) dx =? A) 9/2 B) 5/2 (C) 19/2 (D) 25/2

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Q: If one zero of the polynomial (a² + 9) x² + 13x + 6a is reciprocal of the other. Find the value of a

A: Consider the polynomial      f(x) = ax2 +bx+c and let α , β are the zeros of the polynomial then sum…

Q: Indefinite and Definite Integrals On a piece of paper or on a device with a touch screen, hand write…

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Q: x1 --- X2 X3 X4 x5 (For each question, enter your answer as a comma-separated list, e.g., x1,x3,x5.…

A: keeping a note ?as per our company guidelines we are supposed to answer ?️only first 3 sub-parts.…

Q: 5. (-x -2<x<0 0<x<2 For the function, f(x) = {* a. Graph f(x) for x from (-2,2) b. Graph the…

A: Please see the below picture for detailed solution.

Q: Find the critical points of the following function. f(x) = 2x²-3x - 4 Select the correct choice…

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Q: Given y=x. Find dx/dt when y=4 and dy/dt ​= 1.55.

A: Given query is to find indicated derivative.

Q: ) = ť² + 2t − 1 and y(t) = t³ + 2t + 2? ect the correct answer below: There are not inflection…

A: We will find the required.