For the following geometric sequence find the recursive formula and the 6th term in the sequence. {36, 12, 4, ...}

Q: If g(x) = Cos x – Sin x 7n a) Find g() and g () b) Show that g (5+ x) = g(n – x) 8

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Q: 2. Let V be the volume of a cylinder with height 5 feet and radius r feet. If the cylinder expands a...

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A: Find your answer below 

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A: Given query is to find the x to minimize the cost.

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Q: У7" — 1)" (10.х n=0

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Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

A: Here we check the convergence of the given Integral.

Q: Use the given graph of f over the interval (0, 6) to find the following. 1- 1 (a) The open intervals...

A: given :-  graph of f over the interval (0,6)  To see the interval where f is increasing.

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Q: Find an equation for the tangent plane and find the parametric equations for the normal line to the ...

A: I am attaching image so that you understand each and every step.

Q: d²y y = f(x) and x = e', prove that = xf'(x) +x²f"(x). %3D %3D dx2

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Find the area of the parallelogram that has u = 2i – 3j + 2k and 2j +k as adjacent sides. NOTE: Ente...

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Q: g(y) = y3 dy y 4 3+ 1 4 6. 8

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Q: Determine the set of points satisfying the condition described by Iz – 2i| + |z + 4i| express in the...

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Q: (-1)" 2'/n (2n² – 1)" en? n=1

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Q: Find the volume of the solid generated by revolving the area bounded by x2 – 2kx – 3ky + k² = 0 and ...

A: Given curves are:  x2-2kx-3ky+k2=0 3x-3y+k=0 The area bounded by them is revolving about the line x=...

Q: T/2 Evaluate using Wallis' Formula: sin? x cos5 x dx

A: Topic = Integration

Q: Evalnate. the. followin..deuble.integrals.by.conver.king.b.. polar.Cto.r.dinates. Gp xpx Sf- Ans.: A...

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Q: 1. Simplify. a. 2168 3i-89 + 4i114 125 +21213 31-314 b. 597 4185

A: a.Solution :2i68-3i-89+4i114we know that i2=-1i3=-ii4=12i17×4-3i-22×4+1+4i28×4+22i17×4-3i22×4+1+4i28...

Q: What is the answer? show your solution and simplify your final answer without the use of calculator

A: Solved assuming 'a' is positive. 

Q: How Find 32¢,32¥ ana E and d2f fer the functions: xre ahe |- Rex,y) = = tan (メャッ) 2- fCx,y) = xy + c...

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: 2. Scientists can determine the age of ancient objects by a method called Radiocarbon dating. The bo...

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Q: S tan bxsec³bxdx

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Q: "iew Policies Current Attempt in Progress Find the vector component of v = 2i – j+ 3k along b = 6i +...

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Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² + ...

A: Given equations are:  x2+y2-6ax=0x+y=6a The small bounded region is rotating about the line x=0.

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Q: Find the antiderivative, G(t), of the function g(t) = (3n?t? – t4)V3n² – t².

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Q: 19. A triangular plate with height 5 m and a base of 7 m is submerged vertically in water (whose den...

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Q: Find the area of the parallelogram that has u =i-j+ 2k and v = 3j+k as adjacent sides. NOTE: Enter t...

A: Topic = Vectors

Q: Use the given graph of f over the interval (0, 6) to find the following. y -1 1 (a) The open interva...

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Q: Evaluate the following limits. 1. lim(1+ Vw)(2–- w² + 3w*) w+1 12 - 1

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Suppose a function z=f(x,y) has critical points at (-1,2) and (0,3). Furthermore, suppose at each cr...

A: Let's find. 

Q: Click the play button and note the values of the angular speed w, and the linear speed v. (i) How do...

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Q: Consider the fünction: f(x) = 5x + 15x² - 5x- 3 %3D Step 1 of 2: Determine the intervals on which th...

A: Concave up if f"(x)>0 Concave down if f"(x)<0

Q: Solve it correctly Q)x^4 + x^2 +1=0

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Q: 5. Find the points on the given curve where the tangent line is horizontal or vertical. (Assume 0 <0...

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Q: Let a = ci + jand b = 8i + 15j. Find c so that the angle between a and b is. Round your answers to f...

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Q: Find the volume generated by revolving bout the line x = 3 the area bounded by (y – 2)° = -4(x – 4) ...

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Q: y = x2, y + 2x =8. ntify the volume generated by revolving amd y = 0, rotated about the y-axis.

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Q: ха + ах — 2bx -2ab — х3 — 2ах* — 2bx? x* + ax³ – 2bx³ – 2abx² dx

A: Given integration is: ∫x2+ax-2bx-2ab-x3-2ax2-2bx2x4+ax3-2bx3-2abx2dx

Q: A police car is located 30 feet to the side of a straight road. A red car is driving along the road ...

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Q: Evaluate the integral using the following values. 8. x³ dx = 960, 8. 8. x dx = 24, = xp — Зх dx 14

A: ∫48-3x dx=-3∫48x dx Using the given data,  ∫48x dx=24 ∫48-3x dx=-324

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Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y² = 4(x² – ...

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Q: How-3 Find Zxx if Z=fcusvd uz x?y,V=2xy Exfress the answer interms of Xy, Zu, Zv

A: Implicit Differentiation: If z=f(u,v) , u=g(x,y) and v=h(x,y) then, ∂z∂x=∂z∂u∂u∂x+∂z∂v∂v∂xand ∂z∂y=∂...

Q: xdx 2x +3 a) Í b) s2*-2x-4 dx c) 2x' + 6x? +4x - dx x + 2x – 3 х2-1

A: As per our guidelines we can help you in solving only first three subparts. Rest of the problems you...

Q: +00 (x + 7)" Consider the power series > 2" Vn² – 1 | n=2 1. Use Limit Comparison Test to show that ...

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Q: 3. Evalnate. the. fallowing.denble.integrals..by.convecking.bo. Can polar.Caa.r.dinates. ... 2 2 I-x...

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