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

Q: The rate at which a machine operator's efficiency, E (expressed as a percentage), changes with…

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Q: Tutorial Exercise Write the given expression as a single integral in the following form. [₁1 (2) dx…

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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: example 1- Find the linear approximation to f(x)=√√2x+1 at x = 4, then use it to approximate he…

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Q: For this problem, you will need to use the Desmos Riemann Sum Calculator. (This link opens a new…

A: We have to find the exact area bounded by f(x) and the x- axis on the given interval using Left,…

Q: Find the Taylor polynomials of orders 0, 1, 2, and 3 generated by f at a. f(x) = 2 In (x), a = 1

A: A Taylor series is given by f(x)=∑k=0∞f(k)(a)k!(x−a)k

Q: IN Now look carefully at the function. What is the actual value of y when x-1?

A: We need use inspection method for the given graph to find the value of y at

Q: Find the inverse laplace of the following: s+1 3. L¹ { S² + 4s +6 4. [¹ e-38 е a Ans. F(1) =…

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Q: Using the appropriate substitutions sin sin 20 = 2 sin 0 cos , evaluate the integral. 16 cose Ꮎ ᏧᎾ…

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Q: Find the work done by the following force field F(x, y) = 8(y+6)i + 72x (y + 6)8 j in moving an…

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Q: A. f(x): = Match the common function with its Maclaurin series. 1 1 x B. f(x) = (1+x)" C. f(x) = cos…

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Q: Use Newtons Method to find the third approximation -x3, for the root of f(x)= x^3-x^2-1=0 Hint is…

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Q: Transform the given system into a single equation of second-order x₁ = −5x₁ + 7x2 x₂ = -7x1 - 5x2.…

A: We have to transform the given system into a single equation of second order.

Q: Consider the following polynomial function. f(x)=(x+1)2(x−2)5(x−3) Step 2 of 3:  Find the…

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Q: :) = yzi + xzj + xyk _: r₁(t) = ti + 2j + tk, 0 ≤ t ≤ 4 _: r₂(t) = t²¡ + tj + t²k, 0≤t≤2

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Q: Find the area of the surface over the given region. Use a computer algebra system to verify your…

A: I have appended the formula used in the solution procedure

Q: Given the function f'(x) = −x³ – 6x² + 72x, determine all intervals on which f is decreasing.

A: If f'(x)> 0 in an interval I then f(x) is increasing on interval I.If f'(x)<0 in an interval I…

Q: 1. Region D of the (x, y)-plane is the locus of points satisfying the conditions 2y > e-* > y and y…

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Q: Question 7 Given: x = 1+ t², y= t-t³ a) Find the values of t that corresponds to horizontal and…

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Q: For which positive integers k is the following series convergent? (Enter your answer as an…

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Q: A company determines that its marginal revenue per day is given by R'(t), where R(t) is the total…

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Q: f(x) 3, 4x + A, Bx - 6, 10x + C, Dx + 6, 2, x 2

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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: Consider the curve y = point P(9,0). The closest point is Q(x, y) √4x + 16. Find the point on this…

A: We have given curve

Q: Rewrite the given scalar equation as a first-order system in normal form. Express the system in the…

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Q: Use Newton's method to approximate a root of the equation 327 +4x + 4 =0 as follows. Let x₁ = 3 be…

A: given equation we need to find the second and third approximation.

Q: Consider f(x)=x2² and h(x) = 4x-4. A) Sketch the graph of these on the interval x= [0,3]. (Draw the…

A: Two functions f(x) and g(x) are given. We have to draw graph

Q: Find the flux of F across S, [/F F. N dS where N is the upward unit normal vector to S. F(x, y, z)=…

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Q: 2 f (sin-¹1) ² dn

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Q: Finding the area between curves. Below, we see a region bounded by two curves. (graph not…

A: I have appended the formula used in solution procedure.

Q: Evaluate the following. √6 / (x - 5y + 2) ds S S: z = 11 - 6x + 8y, 0 ≤ x ≤ 5,0 ≤ y ≤ 1

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. Identify lal. 2"n!…

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Q: The function f(x) = x³ + 5 is

A: f(x)=x3+5

Q: Use Green's Theorem to evaluate the following integral, f (et² +24y³3) dx + (2y² - 24x³) dy where C…

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Q: Using the graph of 5 + cos(7x), for 0 ≤ x ≤ 3³7, list the following quantities in increasing order:…

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Q: Set up the integral that computes the volume of the region W in R³ bounded by the surfaces z = 0, x…

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Q: PRACTICE vested at a rate of r = 6% compounded annually, monthly, daily, and continuously. (Round…

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Q: Use partial fractions to find the power series of the function: 52+74 (x − 9) (x + 8)

A: f(x)=5x+74(x−9)(x+8)5x+74(x−9)(x+8)=Ax−9+Bx+8

Q: Find and classify all singular points of the differential equation. (2-x)(1 + x)² y" - 3(1+x) y' +…

A: General form of second order linear equation is :-

Q: Express the limit as a definite integral on the given interval. lim Σ 2x₁² + (x₁") ² Ax, [4, 5] i =…

A: The given limit is

Q: Find the Maclaurin series of x5 e7x

A: f(x)=x5e7xWe know that the Power series of ex is given asex=∑n=0∞xnn!

Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

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Q: Tutorial Exercise Express the limit as a definite integral on the given interval. lim Σvil (2 + x)…

A: The definite integral  can be written in the limit form on the interval [a,b] as

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(t)√1 sin(t)√1 +…

A: To evaluate the following indefinite integral.

Q: 1. Use Elementary Row Reduction and Gauss elimination to solve the following linear systems: { (a).…

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Q: Consider the following. u =(4,-1,0) v = (-8, 9, 0) Find u x v. Determine if u x v is orthogonal to…

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Q: A particle starts from rest at the point (2,0) and moves along the x-axis with a constant positive O…

A: We have to find the graph of the distance of particle as a function of time.As we know that-As given…

Q: 1. Use Newton's Method to find the third approximation - x3, for the root of f(x) = x³ - x²-1=0.…

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Q: Solve the rational equation below, please upload a picture of your work. 14 2²2-22

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Q: The graph of the derivative f'(x) is given below. On what interval(s) is the function f(x) concave…

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