Determine if the series converges or diverges (2) La=2 ਪੰਜਾ

Q: əz Let z = x² + y³, x = 2st and y = s-t². Compute for and ar

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A: We need to find the member of the curve whose slope at any point is 2e^(4x) and passes through…

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Q: x² dx -1 (2x²+2x+1)² sº₁

A: We have to evaluate the integral. ∫dxa2+x2=1atan-1(xa)+c

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Q: Find the area of the shaded region. 49- y=49-x² 35- 21- 7- اتنا -17-1 -21- -35- -49- F3 5 th Fo Q Q…

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Q: These are separate quesitons

A: a) At x = 2, f(2) lies in the fourth quadrant where y is negative. So f(2) is negativeb) From the…

Q: . Find the equation of the curve whose slope is the inverse of the sum of the square root of five…

A: Topic:- function  and application of integration

Q: Topic: Area of Surface of Revolution The arc of the parabola y=x^2 from (1,1) to (2,4) is rotated…

A: We have to find the surface area.

Q: Determine el valor de a € tal que: 80 ex e2x + 1 58⁰ a -dx = R+

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Q: Consider the initial-value problem y' = 8x³y, y (2) = 5 Solve the initial-value problem to find the…

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Q: 1- Use the shell method to find the volume of the solids generated by revolving the shaded region…

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Q: write the given differential equation in the form L(y) = g(x), where L is a linear differential…

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Q: Find values of x and y such that  fx(x, y) = 0 and fy(x, y) = 0  simultaneously. f(x, y) = 7x3 −…

A: This question is based on Partial differentiation.

Q: 12. What is the amplitude of the graph below? y 4 0 8+ 7+ 6+ 5+ 4+ 3++ -1- -3+ -4+ -5- -6+ -7+ -8+…

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Q: What is the solution of 5 |x - 2|dx

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Q: Find the domain of =) = √x² – 3x

A: Given query is to find the domain of the function.

Q: Find the extrema of each given function on a specified closed interval. 1.) g (x)= x³ - (3/2)x²,…

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Q: (2x²² +ex) dx + (x² + 1) = "² dy (x²-y) dx x dy

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Q: η3+n2 (5) Σ=o (n+1)!

A: Series ∑n=0∞ n3+n2n+1!

Q: (-2, 39) 4 10 10 20 10 10 -20 30 40 1 (14) (27) 3 B. Locate and classify the critical point of y =…

A: The equation of the curve is given by , y=23x3-2x2-6x+2Now, We will apply the second derivative test…

Q: Find the derivative of the function using implicit differentiation.  1.) x²y + y²x = -2  2.) √(xy)…

A: 1.) x²y + y²x = -2    2.) √(xy) = x²y+1 ntiderivatives for integral notation. (x+7) dx

Q: Perform bisection method on approximating the root of the equation x³ + x²-x + 7 = 0. Use initial…

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Q: Solve the applied minimum and maximum problems. Make sure to sketch figures to illustrate the…

A: Use minimizing concept

Q: Find a formula bn for the n-th term of the following sequence. Assume the series begins at n = 1.…

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Q: 3 Find x=x-12 lim. x-7-3 x2+ 8x+15)

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Q: Ussing the Simpson Is rule, find the followmy integrals. A=2 zolnہوم @

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: 5-x Find the family of the curve whose slope at any point is y-3 passes through the point (2.1) and…

A: Topic:- calculus

Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

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Q: 1. Find the general indefinite integral. 5e + 3 sin x dx (b) ["be²

A: We have to solve this given integral . For this first we solve the general indefinite integral &…

Q: Find the volume of the solid generated by the revolving Shaded about region the 7-axis 1 0.5 X =…

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Q: Which of the following statements about the graph of f(x) = (2.25) shown above are true? Select all…

A: Given graph of f(x)=(2.25)x

Q: Find the length of the are of the function x² = 4y from x = -3 to x = 3.

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Q: The population of a small city is 374,000. If the population grows at a rate of 2.1% per year, what…

A: Given query is to find the population after 25 years.

Q: 5. Find the limit using algebraic techniques. The limit of f(x) = 14 1/13 14 7 x²-49 as x approaches…

A: We have to find out limit

Q: If the population of a city is 155,000. If the population declines continuously by 5% per year, what…

A: Let P be the population after t years

Q: You are to form 3-digit numbers from the digits 1 to 5. How many 3 digit numbers can be formed if a)…

A: Solution of given question is written in below steps.

Q: dy dx X2 (1+y2)

A: Let's solve given diffrential equation.

Q: √ and g(x)= )=x² Let R be the region in the first quadrant bounded by the x-axis and the curves f(x)…

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Q: What is the exact area bounded by the curve f(x) = 1/2 X and the x-axis on the interval [1, 8]?…

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Q: 2 cos x = -0.7, 2TT ≤ x < 4T csc x = 2, 0 < x < 2TT sec x = -3, -π ≤ x < T 4

A: Given :cosx=-0.7cscx=2secx=-3

Q: Find the absolute maximum and minimum of the function f(x,y) = 2x² - 4x + y² - 4y +6 on the closed…

A: Given that a function f( x , y ) =2x2-4x+y2-4y+6  on the closed triangular plate bounded by the…

Q: Find the equation for the tangent plane and the normal line at the point Po(1,1,3) on the surface…

A: Given problem:- Find the equation for the tangent plane and the normal line at the point Po(1,1,3)…

Q: Find the inverse of the function on the given domain. f(x) = (x−5)^2, [5,∞)

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Q: A cylindrical can is to be designed with a capacity of 1000 mL. Find the dimensions of the can,…

A: Given problem:- A cylindrical can is to be designed with a capacity of 1000 mL. Find the dimensions…

Q: (e) ƒ(x) = x³ (x + 5)²

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Q: lim X→+∞ 5 In³ x 2 X²

A: Let's evaluate limit.

Q: If repetition is not allowed, in how many ways can we arrange ♣, ♠, ♦, and ♥ a) four at a time? b)…

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Q: Problem 2. Consider the equation z = x² + y² + 1 A. Find the equations for az- and yz-traces. B.…

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Q: Choose one(1) from the following question to be answer. The graph of each rule must reflect on your…

A: The Trapezoidal Rule: The Trapezoidal Rule divides the whole area into smaller trapezoids rather…