Find the degree 3 Taylor polynomial approximation to the function f(x) = 8 ln(sec(x)) about the point a = 0. 3 In(sec(x)) ×

Q: Find the arc length of the curve y 1 on the interval [1, 2]. %3D 4x2

A: Given:    y = x4/8 + 1/4x2   Interval : [ 1 , 2 ] 

Q: EVALUATE

A: ∫ x-3x-1+x2dx

Q: What is the equation of the curve whose slope at the point (x, y) is 3x² if the curve is also requir...

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Q: 8. Let f(x) = x3, g(x)= sin(x) and h(x) =Vx. Evaluate the following functions. a. h (g ("/2)) b. Dom...

A: f(x)= x3 , g(x)= sin(x) , h(x)= √x ,  Evaluate  a)h(g(π/2))  b) domain of g(f(x))  C) range of f(g(x...

Q: 2.b) Eliminate the Arbitrary Constants in the equation: * x²y = 4 + Cy x?y = 4 + y' x?y" = -4y O b. ...

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Q: + 4 y' - 12y = 4x3 d the Solutions to its Characteristic Equation aracteristic Solutions: R, = -6 an...

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Q: Evaluate in terms of gamma function: e- ydy

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Q: A. converges B. diverges

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Q: 14.25 т/sec 16.25 m/sec

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Q: Find the limit. (If the limit is infinite, enter 'o' or '-co', as appropriate. If the limit does not...

A: Given that: limx→∞(e-x+4cos6x)

Q: diverges: too e -2 dx 2. Evaluate the integral and state whether it converges or

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Q: Write clear and detailed solutions for each problem. 1. Determine the amplitude, period, vertical sh...

A: NOTE: Refresh your page if you can't see any equations. . let the function is in the form of as we ...

Q: Absolute maximum and minimum values of f(x)=2x3-3x2-12x+1 on the interval [-2,3]

A: The given function is: f(x)=2x3-3x2-12x+1 ;            x∈-2, 3

Q: y" - 2y' - 8y = 7x The Generai Solution to its Particular Solution is y, = Ar? + Bx + C Find the val...

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Q: y = Vx (x – 1) u = i + ī + 4/15 y = f (r² + t + t')

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Q: e^X – 3x^2 = 0, [3, 5] Use the Newton’s method and Secant Method  to find solutions to within 10^-4

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Q: 5) 3tan-1x + sin-x = 4

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Q: . The function f(x, y)= 8x' - /4x* + 3y* is homogenous in x and y of degree -. The function f(x, y)=...

A: Here we have to find the degree of homogeneous function

Q: Q.1 Find all values of x, at which f is continuous and discontinuous. x²-9 f(x) = x-3

A: As per our company guidelines, we are supposed to answer only the first question. Kindley reposts ot...

Q: II. Solve for the derivatives implicitly. 5. 42'y" - 2x = a" + 4y". 6. = 1

A: Given that: 5. 4x2y7-2x=x5+4y36. xy3=1

Q: Solve the following second-order differential equation: y" + 4y' + 5y = 8x sin æ

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Q: Q/ Find the domain and range of the following functions メー」 y= 2y= メ+ 3+13 メー/3 3- 1,

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Q: 2x+4 f(x) = (3x + 7) e.

A: Given query is to find the derivative of f(x).

Q: P3.B: At any point of a curve y =f(x), y" = 6x + 4. If the curve passes throurh the points (1, 0) an...

A: y"=6x+4auxilary eq m2=0⇒m=0,0y=(c1+c2x)e0x⇒ y=c1+c2xparticular integral PIPI= 6x+4f(D)=6x+4D2=1D1D(6...

Q: (x² – 1 Given: f(x) = {2x – 1 if 0 5 3.

A: Topic = Functions

Q: 5 The function f (x, y) =| x² cos² is homogenous in x and y of degree,

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Q: 1.d) * when x = 0; y" e* + (y') = 5 True O False

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Q: Find the DE of each of the following by eliminating the arbitrary constants. y = ln tan(x – A)+B

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Q: Given the differential equation y" - 8 y' + 16y 7x e* And the Solutions to its Characteristic Equati...

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Q: 5. Some integrals might seem complicated. But they will simplify significantly if you look at them i...

A: NOTE: Refresh your page if you can't see any equations. . factor out  .............(1)

Q: Choose the correct graph of y = 3 cos 3x, 0 < x< 2 T: 1 3 27 -1 -2

A:

Q: 3. To find the width ofa river, a surveyor on one side of the river measures the angle to a tree on ...

A: Given problem To find the width of a river, a surveyor on one side of the river measures the angle t...

Q: 1. Use cylindrical shells to find the volume of the solid generated when the shaded region is revolv...

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Q: Suppose that f(t) = sin(3t). Part A. The function g(t) is f(t) shifted to the right 3 units. What is...

A: NOTE: Refresh your page if you can't see any equations. . the base function is  now the function f(...

Q: Suppose that f (x) has a continuous second derivative f"(x), f(2) = 4, f'(2) = –1, and / f(x) dx = 3...

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Q: The points on the diagram below are equally spaced. a. What is the angle measure of point F from sta...

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Q: Find y' of sin(x+y)=x+y

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Q: -1 -x d. Let A = 2 2 1 2 i. |A| =

A: Given that: A=-x-1-xx2x212

Q: If F(x)=[ cos(t² +1)dt , calculate using the fundamental theorem of calculus derived version.

A: Given : F(x)=∫-xxcos(t2+1)dt Aim: to calculate using the fundamental theorem of calculus ,the  deriv...

Q: 1. cos x |? ecosx sin xdx

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: A// Find the derivative of y with respect to x 5) 3tan-1x + sin-1x = 4 6) y = ln- 1+ ex = la,

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Q: determine the most general function M(x, y) or N(x, y) so that equation is exact.

A: We have to find M(x, y) Or N(x, y). 

Q: 1 A water tank has the shape obtained by rotating the parabola y equals x squared about the y-axis, ...

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Q: 3. The function f(x, y)= 8x' - /4x° +3y° is homogenous in x and y of degree 4. The function f(x, y) ...

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Q: Find the average value of f (x) = cos^2 (x) on the interval [0, π]

A: Given that: f(x)=cos2x       on the interval [0, π]

Q: Determine which of the following sentence are propositions and indicate their truth values. 3 + 4= ...

A: This is a problem of mathematical logic chapter. As per the definition of the proposition the senten...

Q: Pumping Liquids From a Container An engineer, for example, may want know how much work is required t...

A: we can solve this question with the help of integral  we took an element  of thickness dy in the con...

Q: (siny – 2ye*sinx)dx +(cosy + 2e*cosx)dy = 0

A: Given differential equation (sin y -2ye-x sinx ) dx+ (cosy+2e-x cos x ) dy=0

Q: W 34° T2°

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Q: Find the laplace transform using integral transformation

A: Given that: 1. ∫0∞e(-s-7)tdt2. ∫0∞4e-st.sin(6t)dt3. ∫0∞t2e(-s+3)tdt