Find the solution of the following DE using the inspection D² + 4)y = 8x + 1-15e*.

Q: Find the exact arc length of the curve over the interval. y = 3x³/2 from x = 0 to x = 1.

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Q: FOREVEREN 8 SE #+3

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Q: 3 and down please

A: We have to find the equation of lines  In question 3 And in question 4 explain that limit why…

Q: Consider the following equations. y = x² - 9 y = -x + 3 x = 0 x = 2 Sketch and shade the region…

A: Topic = Area

Q: Consider the following. sin(6x) X lim X-0 Create a table of values for the function. (Round your…

A: We need to find limit.

Q: Find the general solution of the differential equation y2dx + 2xydy=0.

A: The method used here is separation of variables.

Q: Ex.12 Determine the definition set of the following functions and characterize the local behavior at…

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Q: Find the EXACT limit. Show your work or explain how you determined the limit lim, arctan r

A: Here we have to find the limit.

Q: 3. The derivative of the function y A. TRUE x²+2x+1 x²–2x+1 is equal to y': = B. FALSE -4(x+1)…

A: The given function is; y=(x2+2x+1)/(x2-2x+1).

Q: Find the given higher-order derivative. ƒ(³)(x) = √√√x³, ƒ(4) (x) f (4)(x) =

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Q: (a) Compute the Taylor series of f(x) = ln(x) centered at c = 1.

A: This is a problem related to taylor series expansion. Please follow the procedure given below. As…

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line. Line…

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Q: 8] comm n-1 n²_ 2 5 7 n +n

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Q: Find the derivative of the function f for n = 1, 2, 3, and 4. n = 1 n = 2 n = 3 n = 4 f(x) = COS X…

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Q: Determine convergence or divergence using any method covered in the text so far

A: NOTE: Refresh your page if you can't see any equations. . use the comparison test

Q: 204. A boy rides a bicycle along the Quezon Bridge at a rate of 6 m/s. 24 m directly below the…

A: This is a problem related to Pythagoras theorem and its derivative. Please follow the procedure…

Q: Differentiate the function. g(x) = g'(x) = || 2x²−7x+17

A: We have to differentiate of the given function

Q: any compound fractions as simple fractions red 1+4 y 16 y y

A: As per Bartleby guideline, we have answered only the first question. If you want to get the answer…

Q: a. Construct a rational function whose only asymptotes are y = 4 and x = 1, and whose à intercept is…

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Q: 3 X-8 X-2

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Q: 3. Parabola vertex at x-axis, open to the right and the length of the latus rectum and the…

A: 3.We have to find the differential equation of the given parabola.

Q: Determine whether the space curve given by r(t) = (2t², t² + 3t − 18, t − 3) intersects the x-axis,…

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Q: For the differential equation given below, variable. d²x dr2 + kx=Acost is the independent variable…

A: Given :d2xdt2+kx=Acost

Q: f(x) = 6x-1 ax + b 8x-1 for x 1/1/201

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Q: 10. Find the amplitude (a) and period (T) of the following function f(t)=2cos(720xt-6)

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Q: Zim x²-3x³ +5 X-700 X²4 +12X10+ 5

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Q: 91. f (3x − 1) dx 9−2x+3x2

A: The given problem is solved below in detail

Q: Suppose that f(5) = 1, f '(5) = 5, g(5) = -3, and g'(5) = 6. Find the following values. (a) (fg)'(5)…

A: It is given that: f(5)=1, f'(5)=5, g(5)=-3, g'(5)=6 Let us assume f(x) and g(x) are functions of x.

Q: M8 n- = n2 n n+n 5

A: Given:        ∑n=1∞n2-nn5+n taking n as common   =∑n=1∞nn-1nn4+1     =∑n=1∞n-1n4+1

Q: csc (lnx) cot (In x) 4x²+x² csc(lnx)

A: To evaluate the following integral.∫cscln x cotln x4x2+x2 cscln x dx

Q: The following are indeterminate forms except Olim (²-x)/x 1104 lim cos 2x lim lim In(cos 2x)

A: Here we have to choose the correct option.

Q: Find the general solution to each of the following differential equations. Write the solution in…

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Q: Using the Laplace transform and showing the details, solve 1. 9y" - 6y + y = 0, y(0) = 3, y'(0) = 1

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Q: Given: + g(x)= x+3, if x3 What type of discontinuity occurs at x=3 ? O a. Jump Discontinuity O b.…

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Q: 2. Let R be the region in the first quadrant that lies below y = 1-x². Use the shell method (method…

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Q: PROBLEM 3 [COMPOSITE AND INVERSE FUNCTIONS]: Two functions p(x) and q (x) are inverses of each other…

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Q: Find the derivative of the function. y = In(xVx² - 5) y' =

A: Given function:- y=lnxx2-5

Q: Let S = n=1 1 n+√n 1 2n 1 n+ √√n Verify that for n ≥ 1, 1 n+√√n M 1 √n Can either inequality be used…

A: Given:           S=∑n=1∞ 1n+n For                  n⩾1Whether the following information  1n+n⩽1n can…

Q: Determine the point(s) at which the graph of -7x √ 2x - 1 f(x) = has a horizontal tangent.

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Q: A corporation recently sold zero-coupon $700 bonds maturing in 3 years with an annual yield of 8%.…

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Q: The second column of the matrix of change basis from the basis B = {u= (1,1,1); v = (1,0,1); w=…

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Q: (4) Calculate the average value of f(t) (a) the interval [0, π]. (b) on the interval [0, x]. (c)…

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Q: The management of ABC Corporation Ltd. plans to market a new speaker system. The marketing…

A: This question can be solved by the concept of rate of change of quantities.

Q: 1. - [48 n 1 57²

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Q: Evaluate the definite integral: [ 2√5x-2 dx =

A: Given query is to find the value of the integral.

Q: Find the general solution of the differential equation y (iv) + 2y''' y '' — 2y'=0.

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Q: (c) Using the slope from part (b), find an equation of the tangent line to the curve at P(3, -4).

A: Given that y=42-xSolution :equation of tangent line at x1,y1 having slope m.y-y1=mx-x1x1,y1=3,-4m=4…

Q: 56. 6. -2/√3 dx -2 |x|√x²-1 [²

A: Solution is given below:

Q: F(x) = f(xf(xf(x))), where f(1) = 5, f(5) = 6, f'(1) = 3, f '(5) = 4, and f'(6) = 5, find F '(1). F…

A: Given Fx=fffx f1=5, f5=6, f'1=3, f'5=4 and f'6=5

Q: Determine the largestintervalonwhichy=e*iscontinuous A [0, + ∞ ) (B) (0,+ ∞ ) (C) D (-∞,0) (-∞0,…

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