Find the general Solution For D- E dy dx ty cotx= 5 cosx

Q: Question 4 Suppose an> 0 for n≥1 and lim wan > 1 n→∞ n=1 an? What can you conclude regarding The…

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Q: Problem 20.3: Evaluate the derivative of an inverse function at x = a The following function is…

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Q: Find the area of the region bounded by the graphs of y=e4, y =e-¹ª, x = -5, and x = 2 using…

A: We have to find the area bounded by curves

Q: Find the area A of the sector of a circle of radius 20 centimeters formed by the central angle 1/9…

A: Radius of circle=20 cmCentral angle=19 radian

Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

A: Given

Q: Find the area between the curves f(x) = 3x² + 12x − 15 (in dark blue) and g(x) = -x² - 4x + 5 (in…

A: We need to find area between the enclosed curves.The formula we will use is given by -

Q: - 9 √²x²=2 dx = √² ((x² + 1) = 10) dx 1 + 10 1 +

A: ∫01x2−91+x2dx=∫01((x2+1)−101+x2)dx

Q: LESSON 16: SOLUTIONS TO HOMOGENOUS LINEAR DE OF ORDER N. 1. Solve the DE c) d) y" +10y' + 25y = 0…

A: c) y''+10y'+25y=0d) 4y''+16y'+17y=0

Q: Question 7 Use first (a) (b) principles to find the derivative of f(x) = x² + x f(x) = -√√x

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Q: Using the graph of h(x). identify all of the values of c for which h(c) is a local maximum of…

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Q: 6) Show that=1

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Q: Find the intervals of increasing and decreasing  for y= (sinx)/(2+cosx)

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Q: * Lind the general Solution of - dy dr K X = xe

A: dy/dx = xex

Q: Recall that the constant term, C, cancels out when evaluating a definite integral and therefore, the…

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Q: Why is multiplication and division of rational expressions easier to calculate than addition and…

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Q: Find the Taylor polynomials of orders 0, 1, 2, and 3 generated by fat x = a. 1 f(x) = -— , a=3 X…

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Q: The graph of the first derivative of p(x) is shown in the graph below. Use the graph to answer the…

A: The graph of the derivative function is given.The aim is to find the interval at which the function…

Q: f(x)= [5x+3] e-2x

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Q: Find the general Solution For D-E tan² (x+y) dy

A: The given differential equation

Q: A manufacturer of pop-up tents makes 2-person tents and 4-person tents. The profit from the sale of…

A: A manufacturer of pop-up tents makes 2-person tents and 4-person tents. The profit from the sale of…

Q: Particular values for the function f(x) are given in the table below. X f(x) 0 46 2 Use the table to…

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Q: Tutorial Exercise Consider the given function. f(x)=4- Evaluate the Riemann sum for 2 S x S 14, with…

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Q: 5. Determine the volume of the solid obtained by rotating the region bounded by z = ³ - 5y² and the…

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Q: You turn to the next task that you were assigned, where an object is moving at a constant speed of 3…

A: Given that an object is moving at a constant speed of  meters per seconds

Q: Find the local maximum of f(x,y) = xy(1-x-y) Find the critical point(s) and check the value of D = f…

A: given function

Q: local minima occur on the function, enter in the appropriate box. f(x) = - 23 - 4x² +15x-8 3

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Q: Provide an appropriate response. Divide the interval [0, 8] into four equal subintervals and draw in…

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Q: Find the absolute maximum and absolute minimum values of the function f(x) = x + 1/ interval [0.2,…

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Q: 13. If lim f(x) = lim g(x) = + ∞o and f'(x) = 1 and g'(x) = ex, what is lim 818 x480 x → ∞ g(x) A.…

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Q: Find the area of the shaded region. ㅇ 쁨 38 3 이렇 이렇 (0, -3) y= (16,1) 3 16 x

A: we need to find the area of the function

Q: We have found the following Maclaurin series. x4n 142n (2n)! Now we can use this to find the…

A: The given function .The aim is to find the Maclaurin series of the given function.

Q: dy dx = general solution of :- - 2 Sec 3x tan 3 X

A: dy/dx=sec2tan3x

Q: If what does the following integral equal? 17 |_ * = [9f(x) + 3g(x) − h(x)]dx · - 50 - 17 - 50 - 17…

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: (Section 4.3) Your task is to estimate how far an object traveled during the time interval 0 ≤t≤ 8,…

A: The given table time (sec)012345678velocity (feet/sec)2610111417182123

Q: Find the first three nonzero terms of the Maclaurin series for the function. 2 (1²x) f(x) = - cosx-

A: f(x)=−cos⁡x−(21−x)A Maclaurin series is given by f(x)=∑k=0∞f(k)(a)k!xk

Q: 2 X Estimate the error if P₂(x) = 1 - is used to estimate the value of cos x at x = 0.2. 2 |Error <…

A: To estimate the error in the given function.

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: Evaluate u³(²-1)² du in terms of u by expanding the integrand. [/u³(²-1)² du = -/( 11 + C 1) du

A: To evaluate  in terms of  by expanding the integrand.

Q: With your computer now loaded, you bring up the data for · your experiment. The data suggests that…

A: Given: To Find: To Find the inverse relationship so that the amount of time it will take to reach a…

Q: d'y Solve the following differential equation by Laplace transform metho dy +4 dt + 3y = e, given…

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Q: Let (a) 10.5 3.5 ・6.³.5 P f(x) dx = 9, [ r(x) dx = [ 3.5 10.5 a £10.5. f(x) dx = 4, and (b) (8f(x) -…

A: Given,

Q: Using the following solve the following conversion:  16 liters = how many quarts? 1 liter = 1000ml…

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Q: Assume f' is given by the graph in the figure. Suppose f is continuous and that f(0) = 0. (a) Find…

A: The antiderivative of a function f( x) is a function F(x), such as d/dx (F(x)) = f( x). The general…

Q: The figure shows the area of regions bounded by the graph of f and the x- axis. Evaluate the…

A: given the area of the region. We need to find the given integration value.

Q: Consider a right triangle with a side of length x opposite angle A, a side of length y opposite…

A: we are given that

Q: Use the Second Derivative Test to find the location of all local extrema in the interval (-21,-9)…

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Q: Des the sequence faf converge if the Sequence is convergent. OL or a₁ = 1 + (-1)^ diverge? find the…

A: Oscillatory sequence : An Oscillatory sequence is a sequence where the terms of sequence repeats…

Q: Use the method of linear system (the Gaussian-elimination method) to determine whether the following…

A: The given equations of lines

Q: Consider the following. y 16 8 0 y = f(x) 8 O R6 16 (a) Use six rectangles to find estimates of each…

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Q: Write (x³ - 3x) dx as the limit of a Riemann sum with intervals of equal width and right endpoints…

A: The given integral is