3. Given r(t) = e' sint i + e' cos t j + vZe*k, a) find the arc length function for the curve measured from the point P(0,1, v2) in the direction of an increasing t, then b) re-parameterize with respect to arc length, and c) find the point 4 units along the curve in the direction of increasing t from P.

Q: Find

A: We will find the antiderivative or integration. 

Q: 15. The integrating factor to (2y? +3xy – 2y + 6x)dx + x (x +2y – 1)dy = 0, to make it an exact diff...

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. If the differential equation ...

Q: 5. 12 y²-9dy

A:

Q: Consider the following. (In(x)) , dx The process of evaluating this integral can be started using in...

A: See the details solution in below

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A:

Q: What is equation of this graph

A: Equation of straight line : y = mx + b From the graph : y = x(t) and x = t Now, Equation Of straight...

Q: 7. One secretary can do a particular job in 6 hours and another secretary can do the same job in 4 h...

A: Topic:- algebra  Note:- as per our guideline if more than one question uploaded than only first ques...

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Q: iven a projectile that hits a vertical wall as shown, a) If V, = 120 m/s, 0 = 30°, find the range (R...

A: Find your answer below 

Q: Find a differential equation that corresponds to the given direction field. Consider differential eq...

A:

Q: 12 ("In xdx 5 a) Find the smallest K such that | f4) (x)| <K for 5 <x< 12. b) Use the part (a) answe...

A: Let's find. 

Q: Find the value of lim sec 3. 2 Select your answer. 2/3 3 3 2/3 +3 3 2/3 – 3 3. 2/3 3 3

A:

Q: Solve the following differential equations of 1- ye** . dy = dx; dy 2-- %3(1+ y*)e* dx m dy x(2lnx+1...

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Q: Find the point of minimum values of the function f(x,y) = 2x^(2) + 3y^(2) − 4x − 5 on the domain x^(...

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Q: Use logarithmic differentiation to find the derivative of y = (secx)tan .

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Q: Use synthetic division to show that x is a solution of the third-degree polynomial equation, and use...

A: We have to show that x is the solution of the third-degree polynomial equation. The real roots are a...

Q: Question 8 Let f (x) and g(x) be antiderivative of h (x), The which of the following is true? d A -(...

A: Given problem:-

Q: 4. y" +y = 2xsinx

A: The given differential equation is  y''+y=2xsin(x)

Q: A wooden artifact recovered from a tomb contains 54% of the carbon-14 that is present in living tree...

A:

Q: The equation of a circle is given below. Identify the radius and the center. Then graph the circle. ...

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Q: Which of the following is a correct classification of the differential equation: xyl" + 2(y')* – y =...

A:

Q: Given the region bounded by y= x^3 ,x = 2, and the x-axis (in Quadrant I) is rotated about the line ...

A: Given problem:- Given the region bounded by y=x3 ,X = 2, and the x-axis (in Quadrant I) is rotated a...

Q: 2. Sketch the region of integration and evaluate the following integral by re- versing the order of ...

A:

Q: Given sin(x?y²) + y³ = x + y , using implicit differentiation for partial derivative show dy that dx...

A: Implicit derivative dydx of sinx2y2+y3=x+y

Q: Question 12 Evaluate: J(7x3 + 4x²2)dx 7x4 4x2 +C 2 A 4 (B) None of the given choices 7x4. 4x3 + C 3 ...

A: The given integral,        ∫7x3+4x2dx

Q: Solve, in terms of Bessel function, the DE: x²y" + 7xy' + (36x6 + +)y = 27 y = 0 4

A:

Q: Solve the system of differential equations consisting of the following equations: (D – 2)x – y = 0 (...

A:

Q: Determine whether the alternating series converges. 00 k + 1 9k + 1 k=1 O The series diverges. O The...

A:

Q: Problem 5 Find the four points Gaussian quadrature formulae given by Roots, ri Coefficients, Ci 0.86...

A: We want to find integral of the function. 

Q: Determine whether the series converges; if so, find its sum. If the series diverges, indicate that w...

A:

Q: The following situation applies to the attached question The fluid pressure (in atmospheres) at the ...

A:

Q: 6. Show that the function Ae ax is an eigenfunction of the operator d? What is the -ах dx2 eigenvalu...

A:

Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

A: Given problem:-

Q: How did he get the value inside the circle? 2も elt b 3/4 34-1 2/4 314 /4 3/4 to 2

A: The given problem is solved below in detail.

Q: 7. Using the rules of differential or integration, find the formula for the sum of the following pow...

A: We will first differentiate the given series that is equal to S(x). Then will take common 2 and canc...

Q: 1 The 2nd degree Taylor polynomial for the function f(x) = In x, xo = 3 is P2(x) = In(3) + ÷(x– 3) +...

A:

Q: ind the derivatives and simplify answers: a). f(x) = tan-(e4"), (b). g(x) = x² + 2r³ cot-- In(1+x²).

A: ddx(arctan(e4x))We know that ddx(arctan(u(x))=1u(x)2+1*u'(x)=1(e4x)2+1*ddx(e4x)=e4x*ddx(4x)e8x+1=4e4...

Q: 1. Find the area of the region bounded by the graphs of the equation y = x and y = x?. 2. Find the a...

A:

Q: 12 | In xdx 5 a) Find the smallest K such that | f4) (x)| < K for 5 <x< 12. b) Use the part (a) answ...

A: Let's find. 

Q: Solve the given differential equation. All solutions should be found. (4y +2zy) de - (3ry + 2) dy = ...

A:

Q: 2. The graph of g(x) is given below. Find lim g(x) x→9. a.0    b. 9    c.1   d.2 3. What is lim h(...

A: 2. As you can see, the graph of g(x) is continous. Therefore,                limx→9g(x)=g(9)     -(1...

Q: 4x + 2x + 3. If Ax 0.1 at x = 5, use Let y = linear approximation to estimate Ay Ay 2

A: A detailed solution is given below

Q: the ratio test to determine whether the series converges. If the test is inconclusive, then say so. ...

A: Please refer to the image below 

Q: e2a d.x et + 3

A: Given ∫e2xex+3dxSubstitute u=ex+3→dudx=ex→dx=e-xdu= ∫u-3udu= ∫1-3udu= ∫1 du-3 ∫1udu

Q: Let f(x) = (2- . 2x) and g(x) = 8x + 1. %3D Find g(f(x)). 08(2³ 0 8(2° – 2x)' +1 O (8x + 1) - 2(8r +...

A:

Q: Consider the following. 2x3 +5x2-32x - 80 f(x) = x2 - 9x + 20 (a) State the domain of the function. ...

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Q: How do I find the dimensions of a right circular cylinder of greatest volume that can be inscribed i...

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Q: f the following is ion of a discreet A: Sum of two nu o boxes containir

A: We will find the discrete probability distribution. 

Q: Determine whether the seauence converges or diverges.If it conveges, find the loon 100 l00 + 100 キュ

A:

Q: 4.5 Estimate |7 - a dz using 5 divisions and Loft =O00000)-0 Right =O(00000)=C Midpoint = OO000)=0 T...

A: To estimate  ∫-7-4.5|7-x| dx using 5 divisions and left, right, midpoint, Trapezoid, and Simpson's r...