solution = Give the ODE : general x" + 3x² - 4x of the following

Q: What is the derivative of y = log, sec(e²x) Dxy = 2 e² tan (²) Dxy = 2 (log, e) e²x sec(e) tan(e) D,…

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Q: Q4- Solve the following differential equation: (1 + x²) dy + (y-tan-¹(x)) dx = 0

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Q: Part One. Multiple Choice 1. Which of the following is not a true statement about limits? a) A limit…

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Q: Prove that sin²x x cos²x = csc²a-cot²x 4c8c²2x

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Q: a. [CO²2 2 cos²x√4 tan x tan² x da

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Q: Which of the following equations is(are) true? 1 S xdx lim = ( Σ 2+ =1 1 I xdx = - 2 + -2 O None of…

A: Above question is solved.

Q: Q4- Solve the following differential equation: (1+x²)dy + (y - tan-¹(x)) dx |dx = 0

A: To solve the following differential equation: 1+x2dy+y-tan-1xdx=0

Q: g(x) = (1 Use the power series expansion of f(x): = 1 x)² 1 for x< 1 to find a power series…

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Q: Question 8 Evaluate: lim-1 (3-22)tan (7). e 3m 01 O None of the choices O e

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Q: dx √3 1 + x² ||| A B I✔ E & X Ⓡ 3

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Q: If f is continuous and ƒ(5) = 2 and ƒ(4) = 3 then lim ƒ(4x² – 11) = x→2 True False

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Q: Solve the following integrals: 1. f-7e*dx 2. (2ex-6x) dx √(3¹) dx 3. 4. f 8x+1dx 5. f=dx X 6.…

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Q: Given the function f(x) = x³ − 2x² + 3x within the interval [0, 2], - - at what values of x do the…

A: The given function:fx=13x3-2x2+3x ; within the interval 0,2.We need to find the values of x at which…

Q: Evaluate using Partial Fraction Decomposition: x² (x+1)²(x-1) -dx

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Q: Identify the number of significant figures (sig figs) in each of the values. I sig fig 2 sig figs 3…

A: We can find the significant figures.

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

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Q: (x²+2) dx x+2

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Q: an isosceles triangle! 9. Find an equation of the sphere that passes through the point (4,3,-1) and…

A: Given problems:- 9. Find an equation of the sphere that passes through the point (4,3,-1) and has…

Q: Find the sum of the first 100 whole numbers?

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Q: Solve for y esec(4y²-6y+14) = 3x + 1

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Q: Q3- Sketch the region of integration and evaluate the integral: In8 Iny Live Love ex+y dxdy 0

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Q: 5. Find the residues of the following: a. 2-2 z(1-2) at z = 0; at z = 1

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Q: Use a Maclaurin series for sin x to obtain the Maclaurin series for f(x) = sin(x¹).

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Q: Consider the initial value problem y + y = 8 + 2 cos 2t, y(0) = 4 a) Find the solution of this…

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Q: Determine the equation of the tangent line to the function y = 2 + xe³x + x when x is equal to 0.

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Q: How do i figure out whether this function is continuous or not (proving it) without given at which…

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Q: 2 sin6 x cos⁹ x dx 0

A: See the details solution in below

Q: Use the translations to graph the given function. Show all of the transformation on the same graph.…

A: We have to find transformation

Q: What is the mass of body if the exerted force of 10 N is accelerated by 5 m/sec^2? O 4.5 kg O 1.5 kg…

A: Find mass of body

Q: 6dx x - √ S 3√x²

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Q: Which of the following is equal to In 4 ? 4 offen O et dt 1 O ln 3 + ln 1 dt of - In 8 In 2 t

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Q: Express the repeating decimal as a fraction. 0.789626262626... 0.789626262626... =

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Q: 4. If u = xy + y²z³, where x = rset, y = rs²e-t and z = r²s sint, find the value of du/ds and au/ar…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Let y = =tan(4x + 6). Find the differential dy when x = 5 and da Find the differential dy when x = 5…

A: A detailed solution is given below.

Q: Solve the integral shown below. Show your solutions. 3xe ²x dx

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Q: dy For the following composite function, find an inner function u = g(x) and an outer function y = f…

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Q: Q3) Determine the maximum point of the function f(x) = x(5-x) with Fibonacci search method, if the…

A: Here, we have fx=x5π-x. The number of experiments to be performed are n=4 and the first uncertainty…

Q: dx √1 + 4x²

A: Let's evaluate given integral by using trigonometric substitution.

Q: 3. Find the intersection of the following planes: ( x - 3y - 2z =- 9 == 2x - 5y + z = 3 3x + 6y + 2z…

A: We have to find the intersection of 3 planes.

Q: A container with square base, vertical sides, and open top, is to be made from 3,000 ft² material.…

A: This question is based on application of derivative.

Q: Consider the following matrix. A = [22 -2] How many vectors are in the basis of row(A)?

A: Given: Now,                   30-3222Reduced matrix to reduced row echelon form:=10-1012The rank of…

Q: A cylindrical can is to be made to hold 1000cm^3 of oil. How do you find the dimensions that will…

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Q: What is the anticlockwise moment acting on this crane? 25 m 5m load M20000 N 4000 N movable-…

A: Above question is solved

Q: Find the extreme values of the function f(x) = (x² + 2x)³ on the interval [-2, 1].

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Q: 2x³4 Q1 Investigate the limiting behavior of_f(x,y)=- x4+y² as (x,y) approaches (0,0)

A: Along x=0 f→0y2=0

Q: Consider the region R bounded by y = Arctanx, x = 1, and the x -axis. Suppose that R has its…

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Q: A particle moves along a straight line such that its displacement at any time (t) is given by…

A: Note: There is a typo in the question.  Incorrect:  S = t^3 - 6t^3 + 3t +4   Correct:  S = t^3 -…

Q: Which of the following is NOT an improper integral? 0 2x of ₁7² +²22-3²² dx + 2x - 3 2x x2 2 - 3x e…

A: which of the following is not an improper integral??

Q: The x-component of a force of 50N is 30N, then what will be the y- component of the same applied…

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