Determine the Taylor approximation of degree 5 with support 0 of tan(x). by using tan(x)=sin(x)/cos(x), show how the derivative could be calculated easily.

Q: 1. All solutions of the equation √x+1= √√3x − 1 belong to: A) [-3, -2]

A: Note - in square root , number will always greater than or equals to zero if negative occurs inside…

Q: 1) Find the length of the curve? X = y 3 3 + 1 4y from y = 1 to y = 3

A: we have given curve

Q: Find the inverse matrix of: 1 2 3 2 3 4 3 4 1

A: The given matrix

Q: Compute the matrix of partial derivatives of the function f : R³ R², f(x, y, z) = (4x + 3e² +9y,…

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Q: Consider the function y=-4cos(4x)-4. Determine the range of this function. IV. Q324. Find what d^2y…

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Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

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Q: 2. The lateral surface area S of a right circular cone is related to the base radius r and height √²…

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Q: 3. Determine the sum of the following series, Σ n=0 Π (n + 1)!

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Q: = When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

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Q: c. 6.071 x 10-5-8.2x 10-6-0.521 x 10-4 d. (3.8 x 10-12 + 4.0 × 10-13)/(4 x 10¹2 + 6.3 × 10¹3)

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Q: Compute the Wronskian of a set of functions W(x) {y₁, y2} = {e cos (√x), eª sin(√x)}

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Q: Find the area of the shaded region. 6- 4. 2- -24 yex-1 2 2 √=²₁ 3 4x +3 4 5 6 X Q G O A. O B. O C.…

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Q: Compute the Wronskian of a set of functions, for x > 0 W(x) {Y₁, Y2} = {x ln x, x² ln x}

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Q: Solve the initial value problem: y'= -0.04y + 20 y(0) = 30 y(t) =

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the number of units that must be produced and sold in order to yield the maximum profit, given…

A: Profit is the difference of revenue obtained and cost incurred.

Q: ) M

A: Since you have posted a question with multiple question, we will solve first for you. To get the…

Q: Could I get assistance with 17 and 18, please?

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Q: Use Green's Theorem to evaluate the following line integral. Assume the curve is oriented…

A: To evaluate the following integral. Assume the curve is oriented counterclockwise. The circulation…

Q: Sketch the graph of (x-4)^2 + (y-1)^2=9

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Q: 5. (xy + 1)dx + x(x + 4y - 2)dy = 0

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Q: Find ·es 1 6 -dx x

A: To find .

Q: √√√₁ + x² + y²ds, where S is the helicoid with vector Evaluate r(u, v) = 0 ≤ u ≤ 2, 0 ≤ v ≤ 2π…

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Q: 4. y(2x + y-2)dx - 2(x +y)dy = 0

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Q: Evaluate xy³dx + x³dy, where C is the rectangle C with vertices (0,0), (1,0), (1,5), and (0,5)

A: We have to evaluate the integral.

Q: Find dx dx y= 11 지2 S cos (1³) dt ㅠ

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Q: If we were to draw a line with a positive slope m, and assign the acute angle between the line and…

A: Slope = m (a positive value)The slope of the drawn line,The tan of the acute angle,From equations…

Q: 1) Find the length of the curve? X = y 3 + 4y from y = 1 to y = 3

A:

Q: 1. Mark Twain sat on the deck of a river steamboat. As the paddlewheel turned, a point on the paddle…

A: Diameter of wheel: 18 ftWheel complete a revolution in 10 secHighest point: 16 ft reached after 5…

Q: Use undetermined coefficients to find the particular solution to y"-y-12y=-260 sin(2t) Yp(t) =

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Q: Consider the following theorem. If a, b, and c are vectors and c is a scalar, then we have the…

A: The vector properties are given;a=<a1,a2,a3> and b=<b1,b2,b3>Find axb.

Q: Find a particular solution of Yp(x): y"-2y+y = e(2 – 12x) -

A: Given differential equation is In the given equation,  includes .Consider .To duplicate, multiply…

Q: show work.

A: 18)  Graph of the function is shown below

Q: Find a set of smallest possible size that has both {2,4,7,8} and {4,6,9} as subsets.

A: Find a set of smallest possible size that has both subsets.

Q: 3.) Find the sum of the following series: 5-4+1/3- 16 32 + 9 27 64 81 ·+·

A: 6−4+83−169+3227−6481+⋯

Q: If 2x² + 4x + xy = 3 and y(3) = −9, find y'(3) by implicit differentiation.

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Q: Given f(x) = 2(x - 1)(x + 3)³(5x + 1)^(x − 3)¹ List the zeroes (ex. 4, 6, -2): Degree: End behavior:…

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Q: Calculate sin 37◦ accurate to three decimal places using a Taylor approximation. Check your answer!

A: Sin(37 degree) Find the value of Sin( 37 degree) by Taylor approximation.

Q: Suppose that a thin metal wire in the shape of a semicircle occupies the curve C, where C is the top…

A: Given the mass density of the wire is

Q: Find the integral. [5(1²-5t-2) dt O 5t³-5t² - 2t + C O 5/3 +³ O t³ - 5t² - 2t + C 3t³-t²-2t+C O 10t…

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Q: A: The plane Ax - By + Cz - 1 = 0 pass through non collinear points (1,1,0), (2,0,-1) and (2,9,2).…

A: Given that the plane  passes through non collinear points

Q: Let 3(x² + y²)² = 100xy a) Find dy/dx b) Find the slope at the point (3, 1) c) Find the equation of…

A: 3(x2+y2)2=100xy

Q: 2 b.) f/dx x2 ول

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Q: Which of the following is true for the integral So zdr √9-22 (a) (b) (c) (d) (e) 3 0 Converges to -3…

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Q: 15. Write the area A of a square as a function of its perimeter P.

A: Note:-As per your demand we solve question 15 for you Let the side of square =x unitsAs we know Area…

Q: whether the series converges. D Σ n=1 use the comparison test to determine n² n4+1 b) 8 n=1 1 3n+1

A: By using the comparison test to determine whether the series converges.

Q: find the interval of convergence. n=1 (5x)” √n

A: The given series is a summation of(5 x) n/sqrt(n), n from 1 to infinity.

Q: Given lim f(x) = -5 and lim g(x) I-4 I→4 lim (-2f(x) + 6g(x)) = I-4 lim (-2+6f(x)) = lim I 4 -2f(x)…

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Q: A tank contains 70 kg of salt and 2000 L of water. A solution of a concentration 0.0175 kg of salt…

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Q: Let y(t) represent your retirement account balance, in dollars, after t years. Each year the account…

A: An equation which can be written in the form  is called a first-order linear differential equation.…

Q: ро b) Point P (3, 7) is in coordinate. Express this point in cartésion coordinate

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