Test the convergence of the following: n 3n+1 1- an 3n-1

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: Let y = tan (3x + 3). Find the differential dy when x = 3 and dx = 0.4 Find the differential dy when…

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Q: 9. f(x) = xe−2*, a = 0

A: According to bartleby guidelines I can only answer the first question of the two given.

Q: his question is designed to be answered without a calculator. se the three functions shown. 1. f(x)…

A: Topic:- function

Q: Find the Laplace Transform

A: Topic:- application of integration

Q: Question 11 (CLO-2) Evaluate lim f(x) where (3x-4 if x2 02 O does not exist O 10

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Q: A drag racer accelerates at a(t) = 96 ft/s2. Assume that v(0) = 0 and s(0) = 0. a. Determine the…

A: To find out the distance/position function.

Q: This question is designed to be answered without a calculator. If g(x) = si sint dt, then g'(x) = 0…

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Q: An airfighter plane is flying west at 5 feet per sec at an altitude of 4000 feet.  The plane is in…

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Q: The general solution of the D.E. dy/dx + y cotx = 1 is a. y -cotx + c sin x b. y = -tanx + C CSC X…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Find xer2 dy if dx = y sin x 1-

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Q: Let f be continuous on [a,b] and differentiable on (a,b). Prove that if f'(x)>0 for all x=(a,b) then…

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Q: This question is designed to be answered without a calculator. A farm has a rectangular pigpen that…

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Q: 4.) Sketch the graph, not by plotting points, but by starting with a standard function and applying…

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Q: 4 None of the Choices f(t) 1 (e²+ e ²¹)-(e₁-e²₁) Option 3

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Q: dy : y4 — e²xy³ = 2 sin(x + 3y). dx cos(x+3y) + y²e2xy³ 2y³ +3[cos(x+3y) + xy²e²xy3] cos(x+3y) +…

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

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Q: Find the domain of =) = √x² – 3x

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

Q: If A = 3ai +4j-k and B=4i+j-3k, find the value of a if A normal to B.

A: Given A→=3ai^+4j^-k^  and B→=4i^+j^-3k^

Q: This question is designed to be answered without a calculator. Use the table of values that gives…

A: Sign of Value of f is changing from x= -2 to -1

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

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Q: The half life of a decaying substance is the amount of time it takes for the substance to reduced to…

A: Let us assume it takes n half-lifes to reach 10mg

Q: Evaluate lim f(x) using the graph of f. x→-4+ -6 10 2 6

A: This question is based on limits and continuity.

Q: his question is designed to be answered without a calculator. = f(x) = 1-2e-x, then f has horizontal…

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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: A) The given function is f(x)=x33-2x2+12 ................................... (1) from -2 to 7 using…

Q: [CLO-3] The second derivative f"(x) of a function is given. Use this information to determine where…

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Q: √√5³-25² 2s + s ds

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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: c) 1/2 1 1-x² dx

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Q: Given the rectangular coordinates (-6,2) determine (r,θ). What is r=______. (round to 1 decimal)

A: r is obtained.

Q: 17. What is the amplitude of the graph y = -4sin (x - 2)? The amplitude is. units. 04 02 O 2T O K|N…

A: For the equation  y=A sinBx+C+D   A-  Amplitude   B- Frequency   C- Horizontal shift   D-  Vertical…

Q: What do you call the numbers below. Ta(1) 2= 1^3 + 1^3 Ta(2) = 1729 = 1^3 + 12^3 =

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Q: Consider the following function, f(x) = x³, 3 a = 1, n = 3, 0.8 ≤ x ≤ 1.2 (a) Approximate

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Q: 4- у ду dx 2 ху +x = 0

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Q: Evaluate lim x-2-2-√√4x-x²

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Q: 3x + 9 Consider the function f(x): For this function there are two important intervals: (-∞, A) and…

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

A: Solution: f(x,y)=2x2-4x+y2-4y+6 the vertices of the triangle by joining the given lines are (0,0)…

Q: 1 s¯¹(x) 2 cos √1-x² -dx

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Q: Estimate sinx² dx with an error of less than 0.001.

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Q: Find the derivative of the function at Po in the direction of A. f(x,y,z)= -2 ex cos (yz),…

A: Use directional derivative formula

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: tan2x-2sinx lim x→0 x3 a. 0 b. infinity c. 3 d. DNE Find the slope of the curve y = 64( 4 + x) 1/2…

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Q: Use the series to evaluate the limit tan-¹ y - siny lim y→0 y³ cosy

A: Expand series and solve

Q: f(x) = (x² − 9) -

A: Given :f(x)=x2-923

Q: A Moving to another question will save this response. Question 11 {CLO-1} Find the values of a and b…

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Q: (CLO-1] The graphs of functions f and g are given below. अ y = f (x) 4 1 -2-4 -2 -3 4 Evaluate the…

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Q: dw For the functions w= -5x² + y², x = cost, and y = sint, express as a function of t, both by using…

A: Given query is to find the Indicated derivative.

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

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: SUBJECT: DIFFERENTIAL CALCULUS NOTE: Make the solution detailed and clear in a sheet of paper.…

A: Topic:- application of derivatives  Note:- as per our guideline if more than one question uploaded…

Q: A capacitor has two parallel metal plates measuring 0.45 m² each. The distance between the plates is…

A: Given:-Area of plates=0.45 m2distance between plate, d=1 cm=10-2mthickness of permittivity ,…