uences below are either arithmetic sequences or geometric seguences. For each sequence, determine whether it is arithmetic or geometric, and for the n term a of that sequence. nth Sequence Туре th term formula Arithmetic a) 15, 22, 29, O-0 O Geometric O Arithmetic (b) 4, 12, 36, ... a = 0 O Geometric

Q: Which of the following is undefined? cot() 131 A B sec(630") tan(-14n) D csc(-810")

A: Find which of the following is undefined.

Q: Find the moment of inertia with respect to x-axis of the area bounded by the parabola y = 4x %3D and…

A: Moment of inertia with respect to x-axis , Mx= ∫A y2 dA.

Q: Evaluate the improper integral |. 3.x dx or show that it diverges. +1 x?

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Q: Find the sum of the first 21 positive integers. The sum of the first 21 positive integers is

A: We will use the concepts of A.P.

Q: Given the expression below, y = ecos arc sec(ln(r |- determine y.

A: The derivative is given below

Q: (ye» dy Ans. (3e* +1) 4 11. 0

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Q: A ball is launched straight up in the air from a height of 5 feet. Its velocity (feet/second) t…

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Q: Evaluate and simplify: 4sin(4)- csc(-) 2 A 1-2/7 B 1+2/7 -1-2/7 D -1+2/7

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Q: Ex: Investigate the convergence of the following series. H.W 1 7 2) ΣΥ-1 3n 2n+5n IL !

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Q: A right circular cylinder has a radius increasing at the rate of 4 cm per second but its total…

A: A right circular cylinder has a radius increasing at the rate of 4 cm per second but its total…

Q: (a) / Which of the following integrals is equal to -2+ In 2? X - 4 dx (a) 4- I dx (b) 2 - 4 da (c),…

A: To find which of the given integrals has given value

Q: 2. True or False? a) -2(3BA)and 6AB'are equal vectors. Justify your answer. b) If |AB| = |AC|, then…

A: This question can be solved using the concept of equal vectors.

Q: 13. Find the length of the curve y4 + 8 from y = 1 to y = 4. X = 4y2

A: To find the length of given curve.

Q: Find the average value of the function f(x,y)=eˆ(y/x) over the region bounded by y=x, the x-axis and…

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Q: 1. Given ä = (-2,–1,4),B = (5,2,3)and č = (-3,0,5) determine each of the followin a) ĉ b) |2ã – 7|…

A: As per our guidelines we are supposed to answer?️ only 3 question. Kindly repost other question as…

Q: d d Calculate r1(t) · r2(t)] and r1(t) × r2(t)] first by differentiating dt dt the product directly…

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Q: Evaluate the integral. V3 8 dx /1/v31 + x

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Q: 2. Solve the equation for 0 if 0<0 < 2n. Give your answer in degrees. 2 sin 0 – sin 20 = 0 %3D

A: Given problem:- Solve the equation for 0 if 0≤  θ  ≤ 2π ,Give your answer in degrees. 2sin(θ) - sin…

Q: 4х Consider the function A(x)=2x+ for x > 3 Зx-1 (a) This function has one critical value larger…

A: We will start from critical points and follow upto inflection point

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

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Q: Evaluate r(g(t)) using the Chain Rule: r(t) = (e', e*, -6), g(t) = 5t + 6 %3| 을r(g(t)) = 《

A: Use chain rule

Q: 7. a) Find the indefinite integral. (Remember to use absolute values where appropriate) 1 dx 4x -

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Q: dx 2.) S 4+ x2

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Q: Represent the plane curve by a vector-valued function. x2 + y2 = 36 r(t)

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Q: 4. a) Find the average value of the function over the given interval. f(x) [4, 25] Vx'

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Q: ||r(t) × r"(t)|| ||r(t)|| Use the formula k(t) to find k(t). 13 13: r(t) = t’i+ t³j K(t) =

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Q: I - 5 Use l'Hopital's Rule to evaluate lim Then determine the limit using limit laws and I5 22 - 25…

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Q: 8 3k - 5 Σ is equal to k=1 2 A) 46 в 38 c) 34

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Q: Find the first three non-zero terms of the Taylor expansion for the given function and given value…

A: The Taylor series;  fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+..... Where, center at x=a.   Given:…

Q: Solve the equation for x and y x+v=300 5x+8y=2100

A: Given query is to find the solution of the system of equations

Q: dx x* + 4

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Q: The depth of the water in a cylindrical tank 4 m in diameter is increasing at the rate of 0.7 m /…

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Q: (b) Which of the following integrals is equal to –2+ ln 2? (a) 4 dx 4 (b) dx x² (c) / 4x dx x2 4 dx…

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

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Q: Consider f(x) = 6.9x3 + 9.1x2 - 4x + 7.7. Using the given function, approximate f(4) by making use…

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Q: testconuer gnce and diverg ence 2+5 3"

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Q: Find the volume of the solid obtained by rotating the region bounded by y = 2° , y = 0, and z = 5,…

A: We have to find the volume of the solid.

Q: For the straight line defined by the points (1,57) and (3, 87), determine the slope (m) and…

A: Solution is done in step 2

Q: A particle moves vertically (in inches) along the yaxis according to the position equation s(t) = -…

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Q: '글 +2+글 +5 The sum +8+ +11 written in sigma notation is equal to 8 3k-2 A k=1 2 8 3k - 1 B k=1 8 3k…

A: The sum 1/2 +2+7/2 +5+13/2 +8+19/2 +11.

Q: 1. Find all relative extrema and soddle points of the functon Use econd Partials Test where appli…

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Q: Find the second derivative of the function x2y – 2 = 5x + y

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Q: 46n Nhich of the following angle measure (in radians) is coterminal to an angle with measure 3…

A: Given problem:- Which of the following angle measure 46π/3 (in radians) is coterminal to an angle…

Q: 1 If z = 2x2 – 3y with u = x² sin y and v = 2y cos x, determine expressions %3D az dz for and du

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Q: :. Let x(t) = 2 sinh t , y(t) = cosh(t²) be a curve in the Oxy-plane, given in parametric form. (a)…

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Q: 14. Use the curve sketching procedure to analyze the function. a. y-x'+x²-20x а. 1+x? b. y=- 1-x?

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Q: Q1: Find partial derivatives of the function with respect with each variable 1) f(x, y)= 2x² – 3y –…

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Q: Find the solution of y' = 2(2x-y) which passes through the point (0, -1) the answer should be y=2x-1

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Q: 24. (х? + 2х + у) dx + 2dy %3D 0

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Q: Solve the exponential equation algebraically. Approximate the result to three decimal places. 2(3*)…

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