If then f'(x) - f() = * sinh}(7a)

Q: Find a particular solution for y" + 4y = 8 sin(2t)

A: To find a particular solution for the following differential equation.y''+y=8 sin2t

Q: Evaluate the integral. [2 sec *0 tan ²0 do [2 sec ¹0 tan ²0 do = [

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Q: Which of the following is the simplified expression of 1- 1 sece sin²e cos²0 O tan²e O sec²9 cose?

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Q: Consider the region bounded by the curve y = 4x2 - x3 , the x-axis, and the lines x = 1 and x = 3.…

A: Graph:-

Q: A woman is on a lake in a rowboat located one mile from the closest point P of a straight shoreline.…

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Q: Find the exact length of the curve. y = (1 + x²)3/2, O 18 3 22 3 20 3 10 3 0≤x≤2

A: The given curve is  y=23(1+x2)3/2,       0≤x≤2

Q: HOMEWORK NO. 1 (A) Eliminate the arbitrary constants. 4. y = C₁ + С₂e-4x (B) Find the differential…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Find the derivative of f(x)= x^13+8^x f'(x)=? please answer ASAP and write neatly Thank you.

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Q: Sketch the graph off and use your sketch to find the absolute and local maximum and minimum values…

A: We have to find the following conditions according to the given

Q: Determine the intervals on which the given function is concave up or down and find the points of…

A: Topic - Inflection points and concavity  of a function We are given, f(x) = (x^2−3)e^x we know that…

Q: Find the indefinite integral. (Note:USE INTEGRATION BY PART ONLY-Use C for the constant of…

A: We have to find the indefinite integral ∫13 arctan x dx.   Integration by part: ∫u·v dx = u·∫v dx -…

Q: Using a u-substitution, find (2+1) cos(2² + 2x) dr. Show all of your work, including what you choose…

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Q: Evaluate the integral using any appropriate algebraic method or trigonometric identity. X X +7 -dx…

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Q: Multiply and simplify: (4x) (7x²) The answer can be written in the form cx² where: C= P =

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Q: Find the values of x, y and z that correspond to the critical point of the function: f(x, y) 5x² −…

A: need to find out the critical point.

Q: Determine the value of (gof)(-1) when x+3 f(x) g(x) = x² - 1. T

A: Topic = Functions

Q: Find the unit tangent vector to the curve at the specified value of the parameter. ¹(4)- T = r(t) =…

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Q: A test was given to a group of students. The grades and gender are summarized below A B Male 9 17…

A: To find the required probability

Q: Find the absolute extrema of the function f(t)=2cos(t)+sin(2t) on the interval [0,1/2] using the…

A: We want to find absolute minimum and maximum

Q: Find the area of the shaded region: 6 y=x²-15 x 64 -128 128 2 20 10 -10 -20- 2 4 y=x 6 X 0

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Q: 3. Given 2x + 6 3x 6 Find the inverse function f-1, the domain of f-1, and the range of f-1. f(x) =…

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Q: ************** The length of a rectangle is increasing at a rate of 9 cm/s and its width is…

A: Given the following values of a rectangle, length, l=7cm and width, w=4cm rate of change of length,…

Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

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Q: Find the average value of the function over the given interval. (Round your answer to three decimal…

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Q: For the images attached Find the limit of the following sequences or determine that the limit…

A: NOTE: Refresh your page if you can't see any equations. . find the limit of the sequence

Q: y' = x - 2y cot(2x)

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Q: Find the y'(0) when y = cos (sec²(2x))

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Q: A particle moves along the x-axis so that at time t 0 its position is given by x(t) = t³ - 48t².…

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Q: Find the remainder: (3x² + 16x − 2) ÷ (x + 5) 0 O 153

A: Given        (3x2 + 16x - 2)÷(x + 5)  Here we have to find the remainder.

Q: cos x x r² sin dr 1. f(x)= 2

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Q: Find the order one Differential equation of (x-2)y'=y+2(x-2)^3

A: x-2y'=y+2x-23

Q: 3. Show all work and solutions without use of a calculator: Consider the curve defined by the…

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Q: Consider the function f(x)=(7-³) 10. Determine each of the following. 1. f(2)= 2. f'(2)= 3.…

A: Given query is to find value of the function and it's derivative at indicated point.

Q: 10 11 12 13 14 15 data 16 17 + 18 19 20 Q

A: The given plot is:

Q: Order One Differential E Solve the ff. DE Equation 1. xy' - 2y = x³ ce

A: We have to solve the given differential equation

Q: Set up, but do not evaluate, an Integral for the length of the curve. x = 8 sin(y), 0≤ y ≤ 12 O So 2…

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Q: Consider the initial-value problem  y' = y, y(0) = 3. (a) Use Euler's method with each of the…

A: Given : Consider the initial-value problem  y' = y, y(0) = 3.

Q: [v₁ Arctanz y dy 。 (1 + y)* Ans. In 2+2 (4√3 − 3). Ans. T.

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Q: What is the slope of the line that passes through (1,-1) with y-intercept -2 2 -2 P

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Q: (2x+3) y'= y + (2x+33 when x = -1, y = 0 11/2

A: Topic = Differential Equation

Q: 4. 4.1 4.2 The demand for a certain item is given by q=-5p²-7p+900 where p represents the price of…

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Q: What is the least possible degree of the polynomial graphed above?

A: We know that ,                          Least degree of polynomial is given by n+1 . where n is…

Q: Suppose sin(0) = -and that 0 terminates in Quadrant IV. Fin a) tan(0) b) cos(0) 2 D 13 Ag 1+ it

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Q: A particle moves along the x-axis so that its velocity at time 0 < t < 18 is given by v(t), whose…

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Q: Find the solution to the boundary value problem: The solution is e¹ cos 2t + ܘܢܢ e sin 2t d'y dt² dy…

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Q: Evaluate each problem using your table of powers. 9) 2435 11) (25) + 10) (-27) 2 12) 144².

A: NOTE: Refresh your page if you can't see any equations. . from the table, we can write,  use the…

Q: C b 50° 28

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Q: In each of Exercises 1-14, D(x) is the price, in dollars per unit, that consumers are willing to pay…

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: The population of a certain state (in thousands) from 1994 (t = 0) to 2004 (t = 10) is modeled by…

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