y' +2y = f(t); y(0) = 0, where f(t)= 1, 0≤t<1 121

Q: f(x)= X-I x=1 √x-1 X = 1 1123 -s continuous at x = 1?

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Q: ata Careek. The following expression represents the Riemann sum, sing over some interval [a, b], a…

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Q: If z = 9x² + y² and (x, y) changes from (1, 3) to (1.05, 3.1), compare the values of Az and dz. dz =…

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Q: Find the area between the curves Y=2x-x² and y=-x.

A: We have to find the area between the curves.

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √ 1 + ex,…

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Q: In(x² + 4)dx

A: Let's solve given integration.

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A: Consider the rectangle

Q: option that best describes this function. unction is both even and odd. inction is even. unction is…

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Q: 1 1 √√x+2 dx. 貼 Evaluate O A. 39 O B. 38.0894 O C. 15.6291 O D. 6.5798

A: Since you have asked multiple questions so we will solve first question for you.

Q: Let r(t) = Find fr(e) de (don't include the +C) fF(t)dt = < [

A: Given,  r→(t)=-4t4-3,-4e3t,-2sin(-t) ∫r→(t) dt =∫-4t4-3dt,∫-4e3tdt,∫-2 sin-tdt

Q: will have a critical number -1 and a x Find a and b so that the curve y = ax³ + corresponding…

A: Given :f(x) = y=ax3+bx

Q: Find the volume of the solid generated by revolving the area of a circle (x − 2)² + y² = 4; about…

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Q: Problem 7. Find absolute extreme values for f(x) = ³ − 6x² + 5, x € [1,5].

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Q: ƒ (₂) If lim fx x-0 = L then which of the following must be true?

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Q: 0,4) A B) 3 C) 5 D 23 5 गज 2 C 11 A - x² 3 (3,-5)

A: Topic:- application of integration

Q: What function will you differentiate to get each function? 2. f(x) = 8x7 - 4x³ + 2x - 3

A: dxndx =n.xn-1

Q: 3) The initial population of a certain type of animal is 5, 000. After one year, the population has…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: What is the area bounded by: 2 x² = -9y and y + 1 = 0

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Q: 13. Algebraically determine the values of that satisfy the equation 2 cos²0+ cos 0-1=0, where 0…

A: First I have let x=costheta And then reduce the trigonometrical equation into algebraic equation and…

Q: Determine the absolute extrema of the given function on the specified interval. Show your solution…

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Q: Draw and show the solution in finding the differential equations of the family of circles with fixed…

A: This is a differential equation problem

Q: QI\ A\ Find Domain and Range for this function y √x²+2

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Q: The rate of growth of the population of a city is predicted to be the following, where p is the…

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Q: 2. A cylindrical tank of radius 20 feet is being filled with water at the rate of 600 cubic feet per…

A: Given that,  Radius of cylindrical tank= 20 feet Water is filled at a rate of 600 cubic feet per…

Q: Consider the series + ++4+2+.... Does the series converge or diverge? Select answers from the…

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Q: 2.Evaluate the total derivative of u with respect to x for u = 4x4+3y² + 3z² when y = sinx and z =…

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Q: Use a definite integral to find an expression that represents the area of the region between the…

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Q: Ive the following problems on a separate sheet of paper showing the 8 steps. A cylindrical tank of…

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Q: egrals: 12+5-6 2.J xinxd

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Q: 25. fx sec²xdx is a. x tanx - In cos x b. x tan x + In cos x c. x tan x-sec²x + C d. x tanx+sec²x +…

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Q: A stone is tosse long will it take

A: Please refer to the image below

Q: 5. If graphed, which of the following parabolas would lie entirely below the x-axis? (1) y=x² +5x+10…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: √ (9+x²) ²0 dx is equal to 3x a. + Arctan) + C 3x b. (+ Arctan) + C - 54 c. + Arctan) + C 27 d. - (+…

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Q: 1. The graph of y=sin z is transformed so that the transformed image has a period of 4m and a phase…

A: Given problem:- The graph of y = sin x is transformed so that the transformed image has a period of…

Q: An angle co-terminal to 19 6 11m 6 is

A: Given query is to find coterminal angle.

Q: Determine the absolute extrema of the given function on the specified interval. Show your solution…

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Q: The function f(x) = -6 sin (32+)- 5 models the average rate of change in temperature of a substance…

A: We know the range or sinx is (-1, 1)

Q: Question 5. Limits at Infinity; Horizontal Asymptotes For the function f whose graph is given below,…

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Q: 1) Solve the following equations for x: a) 2e6x = 18 b) = 1 c) 2* = e5 e +²

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Q: Answer the following questions a- Show that fxy = fyx for the function f(x, y) = ().In(x) aw

A: We need to show fxy=fyx. As per Bartleby's guidelines we can solve one question from multiple…

Q: [sin(√5x+1)dx

A: Note: As per our company guidelines we are supposed to answer the first question. Kindly ask the…

Q: Determine the absolute extrema of the given function on the specified interval. Show your solution…

A: Please see the below picture for detailed solution.

Q: Evaluate the integral Sy² sin(3y³ + 4) dy

A: Given ∫y2 sin(3y3+4) dyTo evaluate the integral:

Q: Find the equation of the tangent line to the curve x + y² = 4 where the slope of the curve is 1.…

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Q: 3. Given the equation y = x³ - 3x² + 3, determine all Critical Points and classify using the SECOND…

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Q: Q) Test the convergence and divergence of the following series using ratio or root test 3n ∞ 1) Σ =o…

A: Since you have posted multiple question which is not interlinked i can do first question as per our…

Q: ii) √²√³ xy² S¹S. -dydx -3 x² +1

A: Evaluate the iterated double integral.        ∫01∫-33xy2x2+1dydx

Q: 4) The student population at a certain school here in Dagupan can be modeled by the logistic growth…

A: You must have idea about growth model to understand it better.

Q: Q1: A. Find the general solution of the following Initial Value Problem (IVP): y-2y-3y=e²t 8. Find a…

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