1.n f csc n? de y2 - 2y + 3 2.5; Vy - 3y: + 9y – 21 dy

Q: The equation 2ydx + (3y– 2x)dy = 0 has an integrating factor equal to: O y O y^(-1) O y^(-2) O y^2

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Q: sinh (5) = %3D (A) 5 + V26 (B) In(5 + /24) (C) In(5 + v26) (D) 8. (E) 5

A: Use the definition of hyperbolic of sine function. 

Q: Match the quadratic function with its graph. (x) = x- 2)2 y 10 -5 10 10 5

A: Given query is to find the graph of the quadratic function.

Q: 2 dx х3.4 а. x2.2

A: ∫1x2.2-2x3.4dx∫x-2.2dx-2∫x-3.4dxFormula: ∫xndx=xn+1n+1+C

Q: S sin 8x sin x dx O - 0. 02 O - 0. 01 O 0.02 0.01 O O O

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Q: any method to determine if the series converges or diverges. Give reasons for your answer. 00 3 3 Σ ...

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Q: 4. y = xcoSx

A: First we take log both sides and then differentiate both sides with respect to x.

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x = 2, ...

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Q: Lesson 13 Find the derivative of the following functions. Show your solution. 1. y = x' cos x 2. y s...

A: This can be solved as follows:

Q: How to solve the following ordinary differential equation (ODE) xy' – 2y + y² = x“.

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Q: Given the systems of ODE below with given conditions x(0) = 1 and y(0) = 2. dy + 2x dt dx et, 2y = 1...

A: First we find value of y in equation 2nd and put in equation 1st .  Follow step 2,3 . 

Q: If a building contractor hires 6 day laborers and 1 concrete finisher, his payroll for the day is $1...

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Q: .Find the inverse Laplace transform of 3 F(s) s(s? – 2s + s) O-3 – 3t + 3e 03 – 3t + 3e-t 03 + 3t + ...

A: F(s)=3s(s2-2s+s)F(s)=3s(s2-s)F(s)=3s2(s-1)Partial fraction:3s2(s-1)=As+Bs2+C(s-1)3=s(s-1)A+B(s-1)+Cs...

Q: A cuboid has a square base of side (2 + 3)cm and a volume of (16 + 9 3)cm³. Without using a calculat...

A: It is given that, A cuboid has a square base of the side 2+3 cm and Volume of 16+93 cm3. Without usi...

Q: Σ 7 2 n n=1 п (In? п + 1) 8

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Q: Find the derivative of y = 3sin2x A 6 sin x B 6cos2x с) 6sec2x

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Q: Find a solution for y in terms of x that satisfies the differential equation and passes through the ...

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Q: If f(x) = (2x + 8)-', find f'(x). Find f'(2).

A: topic - derivative of a function

Q: (x – 2)2 +1 if x 2

A: We have to check continuity of function at x=0 and x=2

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e*, x = 0, x = 2,...

A: We have to calculate volume of solid formed when the graph of the region bounded by  y=ex , x=0 ,x=2...

Q: Give some examples of limits in real life situation (preferably in a persons life)

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Q: Given the data points (0, 2), (1, 1), find the following: (a) The straight line interpolating this d...

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Q: Consider the function g(x) - (x- 2)-3. Sketch the graph of f(x) - x and the graph of the function g....

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Q: Find the area of the region inside one leaf of the five-leaved rose r= 5 cos 50. The area of the reg...

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Q: cos(x + y), when x = 0,y =" dx

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Q: Consider the function f(x) = 3x - 81x on the interval [-5. 4]. Find the absolute extrema for the fun...

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Q: 1. Determine if if r2 /2r is differentiable at r 2.

A: First check for continuity then the derivative if both exist then function is differentiable. 

Q: 4. y = 2xi+x“

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Q: these equations have distinct, real, characteristic roots. Find the general solution in each case a...

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Q: Use an appropriate test to determine whether the series given below converges or diverges. 00 In (n ...

A: We have to find if the given series converges or diverges.

Q: Match the quadratic function with its graph. Ax) =-(x-2)2

A: If a parabola has a vertical axis, the standard form of the equation of the parabola is this:       ...

Q: 25 is what percent of 44? (truncate the percent at tenths)

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Q: 22s Determine whetuer the improper e de dliver ges or 16x It elbe converyes

A: Here we have to determine whether the improper integral ∫0∞e8x1+e16xdx diverges or converges.  

Q: For 1-3, determine if the statement is true or false. If a statement is true or false, explain why. ...

A: 1) The function defined by g(x)= -3(x+4)(2x-3)4 touches but does not cross the x-axis at (3/2,0). Th...

Q: - graph and fined Demain and Range For ye sinx-3

A: Note: According to our expert guidelines only first individual question is to be answered kindly rep...

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

A: It can be solved using differentiation and quadratic formula.

Q: Your are driving away from New York. Your distance​ (in miles) away from New York x hours after​ 1...

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Q: Evaluate the following integrals. If the integral is not convergent, answer "divergent." 99 1 350 x ...

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Q: Write an equation for the transformed logarithm shown below, that passes through (0,0) and (1,-3) -5...

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Q: Find relative extrema for f(x,y)=x^3 - 6xy + 8y^(3) - 2.

A: Question- Find relative extrema for  f(x,y)=x^3 - 6xy + 8y^(3) - 2. 

Q: Find the length of the following curve. If you have a grapher, you may want to graph the curve to se...

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Q: ( 2 + x², -2 < x< 0 4 1. f(x)dx; f(x) = 5x + 2, 2 0 <x< 4 -2

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Q: Ísin^8 (3z) cos^5 (3z) dz * O 1/27 cos^9 (3z) - 2/33 cos^11 (3z) + 1/39 cos^13 (3z) + C O 1/27 sin^9...

A: Given integral I=∫ sin8(3z) cos5(3z)  dz

Q: If y = (t² + 2t + 6) (3t² + 5), dy find dt dy dt ||

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Q: INTEGRATE THE FOLLOWING (use integration techniques) 1. f sin xsin4xdx

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Q: F (x. y) = 3x2+3y2-18y+15 4- /2x+4y+4 a) Find domain b) Find sign Diagram

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Q: In the first derivative of a function is a constant then the function is LINEAR. A True B) False

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Q: A. Determine the derivative of the following using the Four-Step Rule 1. f (г) — 5x — 4 2. f (x) = 4...

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Q: Show detailed solution for all. a) Provide the Maclaurin series expansion of f (x) In(3 - 2.x) b) Fi...

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Q: sin? - cos' 2 2 zdx 2.

A: