Determine whether each of the following series are convergent or divergent. i. ∑ cos2 n / (n2 - 3)

Q: i) Given sin = 334 -- and << 3π 2 . Find cos, tan 0, sec , csc 0, and cot 0.

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Q: Use any method to factor each of the following completely. 4 a) 3x² - 45x² – 48

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Q: 2 When the polynomial mx³ - nx² + 5x −1 is divided by x+ 2 the remainder is -39. When the polynomial…

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Q: Q1/ Are the following points collinear? 1- A(-3,-7), B(0,-2), C(6, 8) 2- A (9,2), B(3,8), C(-5,-4)

A: Here we need to find whether these points are collinear or not the points are , then

Q: If y = sin(6x), then dy is equal to which of the following? dx -6cos(6x) O-1-cos(6x) O cos(6x) O…

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Q: 2. Factor the polynomial. Identify end behavior. Identify the zeros (and multiplicity). "quick…

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A: Vector integration.

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A: To find the arc length of the graph of

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A: A palindrome is described in this question.A palindrome is a word, such as "radar" that reads the…

Q: Let f be the function defined by f (x) = 2x³ – 5x³. Given the interval (1,8), which of the following…

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Q: c) x² + 4x³ + x² - 6x = 0 x4 d) 4x³ 4x² - 21x - 9 = 0 -

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Q: Ex 6. Find all the points of intersection of x² - y = 3 and x - y = 1. Ex 7. Find all the points of…

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Q: Value of the integral Σπίρσ 2πies Σπίρ 2xiet ρ 2-2 $- dz where C:|z|=3 is

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Q: Find d²y dy if x = if x dx² 4(ln 6)² (62t+1) = e³t and y = 6²t+1

A: Given,

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Q: First the pieces: dz dr dz მყ dr dt dy dt. || || || || Use the chain rule to find || 2xy+y^2 x^2+2xy…

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Q: Four consecutive integers have a product of 360. Find the integers by writing a polynomial equation…

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Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x=5=y+¹ 1 P(x, y,…

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Q: Find the domain of f(x). √x² + x - 20 f(x) = √√√x² + x

A: Domain of function

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A: To find the total area of the region between the -axis and the graph of .

Q: Which of the following would represent the calculation to determine how long it would take an…

A: The compound interest formula:A=P(1+rn)ntWhere:A is the future value of the investment, P is the…

Q: Find the Maclaurin series for f(x) SWI SNI 8WI WI n=0 n=0 2 n=0 xn+1 2n (−1)n xn 2n (−1)” n+1 2n xn…

A: Taylor's and Maclaurin's Series

Q: Calculate P(FIE), if P(E|F) = 0.26 P(E) : = 0.89 P(F) = = 0.66 Round your answer to five decimals.

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Q: Using rectangles whose height is given by the value of the function at the midpoint of the…

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Q: 4. What is the slope of the line tangent to the graph of f(x) = at x = -1? Express your answer in…

A: To find the slope of the line tangent to the graph of .

Q: The depth of a rain puddle D(t) is given in inches, and t is given in minutes. If the depth is…

A: Given that the depth of a rain puddle D(t) is given in inches, and t is given in minutes

Q: Find if x = t – 3 and y = t² + 4t. dy dx

A: Given,

Q: Find the indefinite integral 12 de (2³ - 2)s d A-1 A B. C_ D. -(t³ - 2)-6 + C 6 (³-2)6 12 12 +C…

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Q: Now find the derivative of the function  y = ex6  using the chain rule.

A: The objective of this question is to find the derivative of the function y = e^(x^6) using the chain…

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Q: A television camera at ground level 1000 feet from a rocket launch pad is filming the lift-off of a…

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Q: Sketch a graph

A: The objective of this question is to sketch a graph of the parabola with the given properties. The…

Q: About 1 in 1,100 people have IQs over 150. If a subject receives a score of greater than some…

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Q: Complete the following steps for the given function, interval, and value of n. a. Sketch the graph…

A: Given: To Find: (a) To sketch the graph of the function on the given interval.(b) To calculate  and…

Q: 3) use the definition of the derivativ zo if f(x) = 1* X+2

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Q: State the domain and range of the transformed function f(x)=610g10 -2(x-5).

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Q: 7. A. continuous for all real numbers B. f'(x) 0 on (-3,0) and (3,00) D. f"(x) > 0 on (-∞,0) and…

A: 7)A function  satisfies the following conditions,continuous for all real numbers on  and  on  and…

Q: The base of a solid is the region enclosed by thegraphs of y = , y = 2, and x = 0. For this…

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Q: Let f be a decreasing function such that f(0) = 4 and f'(0) = h'(0)=; 3 Oh'(4) = 3 Oh'(4) = 0…

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Q: Ex 1. Think about pairs of nonnegative real numbers andd y between 0 and 201 with the property that…

A: x and y are two  real numbers and x + y =20........(1)Product P = xy......(2)

Q: -5 -4 -3 -2 -1 24 24 2 Ho The function graphed above is: Increasing on the interval(s) Decreasing on…

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Q: Find the volume of the following solids. The base of a solid is the region between the curve y =…

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Q: Find dy if y=33 dx 09x² 3x² 3 3x² 9 음

A: Solution-

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Q: iv) f e² +e-² e²-6-² dr.

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Q: Consider the following vectors. C = u = (8,5) V = Find a constant c for which u = cv. (If an answer…

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