Evaluating √9-x² dx using trigonometric substitution will lead to: -3 [*1/2 cos²0de A 0 Ⓡ IS!" B 18 cos²0d0 Ⓒ cos²0d0 (D 9 5*1/2 C=/2 18 0 sin²0d0

Q: 1-x √x dx

A: We have to solve the integral

Q: Solve of the following deferential equations r sin 0d0 + (r.³ – 2p2 cos+cos) dr os 0) dr = = 0

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Q: 8. y = log x-1 x+1

A: Let's find second derivative of given function.

Q: (Inverse Trigo, Higher Order Derivati Directions: Find the derivative of the following fu 1. f(x) =…

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Q: Find the slope of the line tangent to 2xy + π sin y = 2π through the point (1, π/2).

A: The slope of the line tangent to 2xy+πsin y=2π through the point 1,π2.

Q: Use the intermediate value theorem to find the value of c such that f(c) = M. f(x) = = x² - x + 1 on…

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Q: Use Lagrange multipliers to find a relative minimum function value of fif f(x,y,z)= x² + y²+ z² with…

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Q: 1. Write the explicit formula for the sequence. Then find the fifth term in the sequence. a₁ = 120,…

A: Considering the sequence to be geometric

Q: |x-4|dx

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Q: 4. f(x) = √3x5 - 2x + 7x²= 18x-25

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Q: Find the solution of y" − 8y' + 16y = 0, y(0) = 1 and y'(0) = 5. y(t) = Ae4t + Be-4t y(t) = e4t+te4t…

A: The given equation is;  y''-8y'+16y=0, y(0)=1 and y'(0)=5.

Q: (b)show that: I(cosh at cos at)=; s*+40*

A: This question can be solved using the concept of Laplace transform.

Q: To produce x units of a religious medal costs C(x) = 13x + 102. The revenue is R(x) = 30x. Both cost…

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Q: E The power series representation of f(x) = n(x²-1) is given by 00 OA. ((-1) ((-1)")-1,", -1<x<l.…

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Q: 1) x² + y² + 18x - 26y +246 = 0 3) x² + y² + 16x +10y + 80 = 0 5) x² + y² - 22x+26y +254 = 0 7) x² +…

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Q: [²³ 0 ✓1+13xdx

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Q: 3. 2y"" − 3y" – 3y² + 2y = (e*+ex)²

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Q: 15. Iv X V9 – x2 - dx

A: We want to integrate the given function.

Q: Question Evaluate the indefinite integral given below. Provide your answer below: -5x²sec²(3x³) tan³…

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Q: x y 1 x 2 y' equal with x(5)=6

A: Given query is to find the solution of the differential equation.

Q: Evaluate [*²*3 sin 2x dx

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Q: f(x): = Opción 1 5x² - 8x + 15 3x² + 6x 12 y Opción 3 || సా || I 5/3 3 5 Opción 2 Y Y Opción 4 ||…

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Q: Find the absolute maxima and minima of the function on the given domain. T(x,y)=x² + xy + y² - 6x +7…

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Q: Solve the following differential equations: 1.) (x-2y+4)dx + (2x-y + 2)dy = 0

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Q: 2. Find an equation for the plane that passes through the points P = (2,-1,3), Q = (0,0,5) and…

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Q: Evaluate the double integral: 2 √² √ (3x² +9y²) dxdy A 40 B 30 C 60 D 80

A: Double Integration by iteration:

Q: 1) Consider the spherical equation given by p = 4 cos 0 sin p. Determine its corresponding equation…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: SHE 1+ (In x)' = dx = (sec x) = f sin x dx = [cos.x dx = (arctan x)': = [f(x) g(x)] = ==dx =

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Q: (x²-3x+2) dx

A: Please see the below picture for detailed solution.

Q: Write a linear cost function for the situation. Identify all variables used. A parking garage…

A: Given query is to find the cost function.

Q: * Integral use to solve if series converges or diverges, give example if true or false

A: It is true that the integral is used to solve if the series converges or diverges. The method is…

Q: Solve the int B ²+3x-4)³ (4x+3)dx integral: Seln (2x² + 3 eln(2x²+3x-4)³ + C (2x²+3x-4) (-4)³² (4x +…

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Q: f(x) = 5x² - 8x + 15 3x² + 6x 12

A: here first we have  to find domain of function  here domain is which value we can put in function so…

Q: Find the area bounded by x²y = x² - 4 and x-axis, from x = 2 to x = 4.

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Q: se Green's Theorem to evaluate SC (5y-9x)dy-(yx-x³)dx where C is shown below

A: Follow the procedure given below.

Q: U 4. Let f(x, y) = ey, where x = uv, y = a) Use chain rule to compute and af af Əv ди b) Express…

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Q: Complete the table of values below. Then, sketch the graph of r = 2 - 3 cos in polar coordinate…

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Q: Verify that 2+ ?х ду 2+ дудх : for f(x, y) = 2x³y6 – 4x5y4.

A: Partial differential.

Q: A body cools from 75°C to 70°C in 2 minutes. What will additional time (in minutes) it takes to cool…

A: Topic:  Newton's Law of cooling using application of calculus

Q: In 1950, there were 238,681 immigrants admitted to a country. In 2001, the number was 1,042,425. a.…

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Q: The height and radius, respectively, of a cylindrical tank is 5 m and 2 m. If the tank is full of…

A: Given that: Height = 5 m Radius = 2 m We take a slice of height △x at a height x So the volume of…

Q: 14-f(t)= cos 2t.

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Q: Solve the following deferential equations a) (x² - 4xy - 2y²)dx + (y² - 4xy - 2x²)dy = 0. e-2√x : 1…

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Q: 2.) (2x + 3y - 1)dx- 4(x + 1)dy = 0

A: We have to solve given differential equation.

Q: y = e ²₁ y = 1, x = 2; about y = 2

A: the solve volume

Q: dy ssuming 5x³ +9y² − 4xy = 0 defines y as a differentiable function of x, use the theorem == dx Fy…

A: Given query is to find the derivative at indicated point.

Q: 3. f(x) = 3x-7

A: Topic:- derivatives Note :- as per our guideline if more than one question uploaded than only first…

Q: 2. Find an equation for the plane that passes through the points P=(2,-1,3), Q = (0,0,5) and…

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Q: 10. Prove the identity: 2 + cot² (x) _ 1 = sin² x - csc² (x)

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Q: Which of the following is the equation of the circle with center at (-4,1) and * with radius equal…

A: In this question, We will find the equation of circle with centre (-4,1) and radius 6.