Evaluate the following integral. π/4 S 0 cos x)² dx secx+cOS X)

Q: Which of the function is not an exact equation of the first order? O A. (ey + ycosx) dx + (xey +…

A: To find the non exact equation.   Option c and d are correct

Q: Sketch the region bounded by the curve x 2 = y and the line x = volume of the solid generated by…

A: solution:-the region bounded by y=x2-2 & x=y+2revolving around y=1

Q: a -- In words, describe the curve F(t) = (2 sint,e',2 cost) for 0<= t <=6 . Be sure to give enough…

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Q: The integrating factor (IF) of the equation y' - 2ycot2x OA. sin2x OB. cot2x OC.Lnsin2x D.csc2x O E.…

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Q: Find the following matrix product, if it exists. -5 - 5 135 O A. -5 Select the correct choice below…

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Q: 1 If (-x) = -5 ON) - M O O A. e5 B. ن D. E. y5 y -5 then what is the integrating factor? None of the…

A: Given: ∂M∂y-∂N∂x1M=-5y To find: Integrating factor.

Q: Perform the indicated matrix operation, if possible. - 2x+2y -5x + y - 10x + 8y 4x-3y 4x-7y 2x 3y-3x…

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Q: Question 1. Find the solution of the following differential equations (i) cos²x sin x + (cos³x)y = 1

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Q: The integrating factor (IF) of the equation y' - 2ycot2x OA. sin2x O B. cot2x = 1-2xcot2x - 2csc2x

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with   so here we have

Q: what is rational function ?

A: Relational number Our connection is number three. As you'll see that number is specific to our…

Q: Use the inequality from the previous question to fill in the blanks below. As stated above, to…

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Q: Given the vectors à = (2, -1,3), b = PQ where P(1, 1, 1) and Q (5, 1, −1) and Ĉ=i+j+ 3k. Find a)…

A: Given the vectors a→=2, -1, 3, b→=PQ→ where P1, 1, 1 and Q5, 1, -1and c→=i→+j→+3k→.To find 7b→-3c→

Q: 18

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Q: Find a general formula for f(n). ƒ(x) = (x + 7)−¹

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Q: 4. Consider Line L with defining equation 2 y - ²x + 1/ . = 6 A. Find two ordered pairs (x₁, y₁) and…

A: see below the answer and calculation

Q: Solve for the IF of the equation y(x + y + 1)dx + x(x + 3y + 2)dy = 0 OA. O B. ey O eLny °A O D.Y O…

A: given    y(x+y+1)dx+x(x+3y+2)=0

Q: Find the curvature (as an exact value) of (t) when t = 1

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Q: sin t t lim R t-

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Q: The integrating factor (IF) of the equation y' - 2ycot2x OA. sin2x OB. cot2x O C. Lnsin2x OD. CsC2x…

A: To find the integrating factor IF of the following equation,y'-2y cot2x=1-2x cot2x-2 csc2x

Q: Question 9 Which of the following equations has a solution of the form F(x,y) = C A. 2x + 3y + (2y +…

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Q: Homework 3.3 For #1-8, differentiate 1. f(x) = x² cos x

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Q: What is a suitable integrating factor that can be used to solve the equation dy dx A. e B. 3 ex D.…

A: To find Integrating Factor.

Q: Evaluate the piecewise function at the given values of the independent variable. x² - 36 X-6 h(x) =…

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Q: Obtain the differential equation whose general solution is y = C₁ + c₂e³x. O A. y"-3y' = 0 3y" - y'…

A: Topic-differential equations We are given,y=c1+c2e3xWe know thatddxeax=aeax

Q: If (OM-ON) 1/12 - - 5, = ?х M y OA. e5 O B. OC. y5 O D. e-5 O E. -5 then what is the integrating…

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Q: Which of the following is TRUE about the differential equation x- dx O A. The equation is…

A: We have to find form of given differential equation.

Q: 8. Find the limit of f(x) = lim f(x)= 4- 818 (Type a simplified fraction.) lim f(x) = 8118 (Type a…

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Q: Which of the function is not an exact equation of the first order? OA. (ey + ycosx)dx + (xe³ + sinx…

A: See this solution in below.

Q: Evaluate the following integral. z+7 z(z²+9) dz

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Q: 5. Show that dy ay of dx of arccosx -1 √1-x²

A: Given that dydx of arccosx=-11-x2 We have to prove this derivative.

Q: sinx What is the integrating factor of (1+x) y + 2y = - 1+x

A: We have to find integrating factor for given differential equation.

Q: Find all values of n such that y = x" satisfies x²y" - 20y = 0

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Q: Use the Law of Cosines to determine the indicated angle 8. (Assume a = 126.5, b = 59.5, and c = 159.…

A: Given, a=126.5, b=59.5 and c=159 Aim: Find θ

Q: Which of the following equations can be made into a linear differential equation? A. (x² + xy)dy -…

A: To check: Which of the given differential equations is linear?

Q: f f(x) = = f'(x) = 2x² tan x " Find f'(1) 0 find sec x 2x(x + 2 tan(x)) sec(x) B x 0

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Q: Solve for the IF of the equation y(x + y + 1)dx + x(x + 3y + 2)dy = 0 OA. B ev eLny B O D.y E. None…

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Q: Find the general solution of y" =2x+ sinx + e*

A: Topic- Differential equations We are given that, y''=2x+sin x+ex We know that,…

Q: Which of the following equations can be made into a linear differential equation? OA. (x² + xy)dy -…

A: Option D

Q: Write the first three terms in binomial expansion (y3 - 1)21, expressing the result in simplified…

A: Given data:- (y3 - 1)21 The given binomial series, x+yn=C0xny0+C1xn-1y1+nC2xn-2y2nn

Q: Evaluate the following integral. 9 4 dx 1-√√x

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Q: g(t) = -tan² (2+) +sin (3+¹+8+³) [[// (++1)]] cot " (cosh (3+1)), ift 71 if t <0 ifo≤t≤1

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Q: Another model for a growth function for a limited population is given by the Gompertz function,…

A: The givne growth function for the limited population is dpdt=clnkpp…

Q: If f(x) f'(x) = f'(1) = 2 sin x 3 + cos x 2(1+3 cos(x)) (3 + cos(x))² then

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Q: indi the derivative  y=arctan² (x³)

A: Given,   y=arctan² (x³)    Find derivative of y

Q: Which of the following equations is NOT a variable separable differential equation? A. 2xydx + (x² +…

A: A Separable differential equation is any equation that can be written in the form of dydx =…

Q: Solve for the value of C in the equation: dy − (y + xy5)dx = 0 when y(0) = 1

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Q: The degree of homogeneity of the function ƒ(x, y) = (x² − 4y²)−1/² O A. 1 OB. -1 O C. -1/2 O D. None…

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Q: For # 1-12, differentiate 1₁ f(x) = (x² - 3x + 5)35 3 2. g(x) = √²-5 3/x2-5 3. y = sin x² 4. y =…

A: We need to differentiate function.

Q: define power function.

A: Power Function:- A power function also called an exponential function is employed frequently in…

Q: dy 3y What is the IF for solving the linear equation: x + = dx COSX,x>0

A: The given differential equation, xdydx+3y2=cosx, x&gt;0 We have to find the integrating factor