USE THE GIVEN TEST TO DETERMINE THE CONVERGENCE THE GIVEN SERIES. OR DIVERGENCE OF RATIO TEST: 2n+l n? n=O

Q: Consider the function f(x,y) = tan (2x - 2y) and the point P the xy-plane showing P and the level…

A: f(x,y)=tan(2x-2y)

Q: Find the equation of the tangent line at x= 1 of the function 2e²x + x+1 3 x²

A: The equation of a tangent line to the curve y= f(x) at (p ,q) is given byy - q = f '(p) (x - p)

Q: 3. In the warm-up to Module 8 Part 1, we came up with the first several terms of the dragon curve…

A:

Q: The function f(x) = (4x + 7)e X = 3x has one critical number. Find it.

A: To find the critical number of the function .

Q: 8. Graph the = function. 7 if x < 2 3 ₁ifx= 2 2х=3 if *72 piecewise 2x-3

A: To graph the given function, find some points on the curve, plot them on a graph and draw a straight…

Q: find the derivative a. f(x)= (5x^2 - 7x) / (x^2+2)

A: According to the Bartleby guide line we do only the first part.(a)

Q: Find all critical points of the following function. f(x,y) = − 8xy + 2x¹ +2y4 What are the critical…

A:

Q: Write the sum without sigma notation. Then evaluate the sum. 2 Σ k=1 12k k+ 2 Write the sum without…

A: The given sequence is

Q: Consider the following. f(x, y) = 4x - 2y (a) Find f(4, 5) and f(4.1, 5.05) and calculate Az. f(4,…

A: Consider the function

Q: Evaluate the limit using L'Hospital's rule if necessary 3 (+)* 1+ lim +-+00

A:

Q: Evaluate the limit tan 9r lim 1-0 sin 2r

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Q: Determine the exact values of each expression for the given value of 0. Do not use a calculator.…

A:

Q: 2. Students were asked to formulate the system of equations needed to solve the following problem:…

A: 2.Bob and June have $100,000 that they wish to invest in three different stock funds. Fund A has a…

Q: A manufacture has been selling 1550 television sets a week at $390 each. A market survey indicates…

A:

Q: Oil has spilled in the ocean. The volume of oil in a spill in the shape of a cylinder of height 6…

A:

Q: Find the volume of the solid in R³ bounded by y = x², x = y², z = x + y + 12, and z = 0. V =

A:

Q: Answer the following questions about the sphere whose equation is given by 1. Find the radius of the…

A:

Q: Given sin(a)= and 0 < a </2, find the exact value of sin(a/2). Note: You are not allowed to use…

A: Given that the expression

Q: Determine the volume generated by revolving the region below about the y-axis. y=3√x and y= X 4 V=T…

A:

Q: Question 3x and it is known that dy If 4xy -1-y² -4y+3 , find all coordinate points on the curve…

A: The  of a curve represents the slope of the tangent line to the curve at the given point.The slope…

Q: Consider the function f(x) = x³ ln(9x), defined for x > 0. (a) Find the only critical number for…

A: Take derivative.Take the second derivative.

Q: If sin(A) = 0.59 and cos(A) < 0, determine: Be certain to express all answers to at least four…

A: Sin(2A) = 2sin(A) cos(A) Cos(2A) = cos2(A) - sin2(A)Tan(2A) =

Q: You have 830 ft of fencing to make a pen for hogs. You have a river on one side of your property and…

A: Given Length of the field is l Given width of the fiels is w Total perimeter of the field is given…

Q: Given that 1 1-x = M8 n=0 x" with convergence in (-1, 1), find the power series for 1 9-x with…

A: Given that

Q: Recently, a certain bank offered a 5-year CD that earns 2.71% compounded continuously. Use the given…

A:

Q: 6 The graph of f is shown in the figure. The shaded region A has an area of 5.5, and to fill in the…

A: The area of region A is 5.5So we can write, A=5.5

Q: Use any method to find the relative extrema of the function f(x) = x³ + 10x – 3. If there is no…

A:

Q: A bottle of water with temperature 70 F is placed into a refrigerator with an internal temperatu 34…

A: The Newton cooling law surrounding temperaturetemperature of objectproportionality constant /cooling…

Q: Evaluate the following determinant. Show all steps 2 1 -1 1 3 0 -2 2 4

A:

Q: Identify which of the following represents that of a sin, cos, tan, cot, csc, and sec function. के +…

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Q: The region bounded by the curve y = √x, the x-axis, and the line x = 4 is revolved about the x-axis…

A:

Q: Find the area of the surface generated by revolving the curve about the x-axis. 1==32²₁ 15 y -x³,…

A: .

Q: Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x) = -2…

A: To find the intervals on which  is increasing and decreasing.

Q: Let h(x) = 3x³ +9x² - 24x Determine the absolute extrema of h on [1,5]. If multiple such values…

A: Consider the function

Q: Derivative Rules: 1. Power Rule: (2) = n -1 d dx Special Case of this: 4. Quotient Rule: 2.…

A:

Q: Test the series below for convergence using the Ratio Test. n4 0.82 n=1 The limit of the ratio test…

A: The power series is given byRatio test:

Q: Evaluate the limit sin 2x 6m lim 10

A:

Q: Let ƒ(x) = x³ + 9x² − 21x + 22. (a) Find f'(x) = (b) Find f"(x) = (c) On what interval is f…

A:

Q: M8 n=1 4 (4n – 3)(4n + 1)

A:

Q: Test the series below for convergence using the Ratio Test. (−1)®g2n+1 (2n + 1)! n=0 The limit of…

A: The ratio test:

Q: Suppose that p(x) x= to x = - 2 8 Σan converges on (-1, 1], find the interval of convergence of…

A:

Q: 18 n=0 епп .ne TT

A: The given series .The aim is to check the convergence of the series.

Q: A company finds that the rate at which the quantity of a product that consumers demand changes with…

A: Consider the given marginal-demand function,

Q: dy dx -1 Find for the function y = cot¹ √√4x². Show all steps.

A: The given function is

Q: Use Trigonometry Substitution to evaluate the following integral. / 3 = 273d² -dx

A:

Q: Use the Second Fundamental Theorem of Calculus to find F'(x). X F(X) = √ * ² F'(x)= = 4t cos(t) dt x…

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Q: If g(x) = x + y², and R= [0, 1] × [0, 2], compute the value of SSR 9(x, y)dA. -23/6 19/6 11/3 22/3…

A: The given function , and the region .The objective is to find the value of the integral .

Q: Evaluate the following integral /6 sec¹ zdz

A: The given integral is 6sec4x.

Q: (8) Find the value of c guaranteed by the Mean Value Theorem for f(x) = 2/²/²/1 I [3, 5]. (A) 1+ 2√2…

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

Q: Evaluate the first partial derivatives of the function at the given point. f(x, y) = 5ex In(y); (0,…

A: Givenfxx