Use the formula for S, to find the sum of the first five terms of the geometric sequence. 2, 6, 18, 54, . O A. 240 В. 242 O c. 245 O D. 232

Q: 81. Area Find the area between the graph of y = sin x and the line segment joining the points (0, 0)…

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Q: た8e Ge whe'eh ー2x es ytural exponentioel frenebon / show all staps]

A: LetI=∫ 6e3x-8e-2xdxApply the Sum Rule:  ∫fx±gxdx=∫fxdx±∫gxdxI=∫ 6e3xdx-∫ 8e-2xdxTake constant…

Q: 9) Evaluate || sin (y') dA , R: the region bounded by y=Vx, y=2 R & x=0. Š įysinx'dxdy ans:-(cosl-1)…

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

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Q: Q3/ Optimize the function Z = x + xị ? Subject to: x1 + x2 = 4 x1, x2, 20 Using Lagrange…

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Q: The interval of convergence of the series (4x-12)" is Zn=0 -3)-+" (n+1) Select one: True O False

A: We can find the interval of convergence by using the ratio test .

Q: Let (8, 6) be a point on the terminal side of 0. Find the exact values of cos 0, csc 0, and tan 0.

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Q: Q1: Find the Integration using Gamma Function Method: 00 x*e-3xdx

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Q: Evaluate the integral: cos? (0)do *Input answer as decimal round-off to 2 decimal places

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Q: Perform the operation or operations when possible. - 2 [14]: 4]+| 8 O A. They cannot be added. Ов.…

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Q: C. Solve as indicated. 2. Find the first 10 terms of a sequence in which the fourth term is 114 and…

A: Let us consider an A.P series with first term= a and common difference=d  Then the nth term =…

Q: HiW:-solve the P.D.E Uxx+ Uyy-lolx++lo) U lox) = UC013) = ULY20) = U1Y,3) = c %3D

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Q: tan (6æ)sec (6æ)dæ Evaluate + C

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Q: 10) A supplier of bolts wants to create open boxes for the bolts by cutting a square from each…

A: Given ,  A supplier of bolts wants to create open boxes for the bolts by cutting a square from each…

Q: Complete the proof of the identity by choosing the Rule that justifies each step. sin'x+ 3 cos?x=1+2…

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Q: Let B be the sphere x? + y + z? = 4. The volume of the portion of B contained in the first octant is…

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Q: z(0) - 2, y(0) 8.

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Q: 3) Graph the function over the specified interval. Then use the simple area formula from geometry to…

A: SOLUTION: As per given data, f(x)=3 ;[a,x]=[1,x] We know that, if we integrate function between…

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Q: 1. Using proof by contradiction, prove Let n be an integer. If n' is even, then n is even.

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Q: 7. A(2,–3) and B(5, 1) are two points in R². Determine the following: a) AB b) |AB| c) a unit vector…

A: We can solve this as follows:

Q: 3.2 Inductive Reasoning Use inductive reasoning to make a conjecture. Note: The numbers 1, 2, 3, 4,…

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A: Given; x + y = 5      ,    y = 0   ,  x = 0 Volume (V) = ? Rotated about y = 0

Q: Evaluate the following indefinite integral. dx dx = (Type an exact answer.)

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Q: Find a formula for the sum of n terms. Use the formula to find the limit as n- lim Submit Answer

A: To find the value of: limn→∞∑  i=1n3+in2n=limn→∞2n∑  i=1n3+in=limn→∞2n3∑  i=1n1+1n∑  i=1ni...(2)

Q: Guten tho plane Pusith equatim ze +y -z= 3. and line Leaithuymmetrio oquatim p = 1 - y =g. determene…

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Q: 03/ The dimensions of a rectangular solid at a given instant (t.) are : L(t) 13 cm. W(t)-9 cm. H(t.)…

A: Given problem:- The dimensions of a rectangular solid at a given instant (t0) are: L(t )=13 cm.…

Q: The limit lim x · In cos エ→0 is an indeterminate form of type 0 ·o. Select one: O True O False

A: LetL=limx→∞ xlncos1xL=∞.ln(cos(1∞))L=∞.ln(cos(0))L=∞.ln(1))L=∞.0Which is undefine

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Q: dy Use implicit differentiation to determine given the equation zy + cos(x) = e". dz dy y + sin(z dr…

A: The detailed solution is given below Thank you

Q: The flow rate of water at a pumping station on a given day, is given by the function R(t) = -t? +…

A: This is a problem related to integration. Based on the concept and formula we will answer the…

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Q: Determine the series converges, if so, Find its cum. whe ther 1 a. (k+2) (K + 3) k = 1

A: The given series,     ∑k=1∞1k+2k+3

Q: Find the derivative of the function at Po in the direction of A. fxy) - - 2ху - 5у, Ро(9, - 4), А-D…

A: To find the derivative of the function at P0 in the direction of A.fx, y=-2xy-5y2, P09, -4, A=-3i+3j…

Q: #Caleulate le' ter which es natural s oll exponentibel fuenebin/ sdou steps

A: We know that,  ∫eax dx =eaxa+C

Q: Use the tabular method to evaluate the integral |* + 2x – 1) cos(42)dx

A: Explanation of the answer is as follows

Q: Question 4 dx 1 O sec (e² – 1) +C O sec-l(e*) + C sec (e – 1) + C sec™' (e") + C « Previous Quiz…

A: The integration of the integral is 1/sqrt(e2x-1).

Q: y2+x2 5- y' %3D y(1) = -2 xy

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Q: nd the directional derivative of the function f(z, Y) In(z +y) at the point (3, – 1) in the rection…

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Q: 8. Evaluate * y" – 3y' + 2y = e3t ; y(0) = y'(0) = 0 e2t -e3t + 2 et 23t -e2t + 2et 2 O A. e3t -e2t…

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Q: 3. If A is a vector representing 50 km/h northeast, what is 3 A ? c. 30 km/h northwest d. 30 km/h…

A: Given problem:- If A is a vector representing 50 km/h northeast, what is (3/5)A ? a. 30 km/h…

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Q: (4x – 5y) lim (x,y)→(1,1) 5x² – 7y O -1/2 O 1/2 Limit DNE

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Q: 2. Detemine if the ollowing integral converges or diverges. If the integral converges, find its…

A: Given problem:- Determine if the following integral converges or diverges. If the integral…