1 dx x² +1 e +

Q: 3. (a) y(8) when y=cos 2x

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Q: Evaluate the definite integral. es dx x/ln x v 5 6568542194924

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Q: 16-17. Find the derivative: y = (x2 – 4x + 2)(2x3 – x2 + 4) A) 2x*- 36x³ + 24x2 + 4x -1 B) 2x* –…

A:

Q: x*- 2x³+x² xdx

A: ∫x4-2x3+x2xdx ∫x2x2-2x+1dx ∫x2(x-1)2dx ∫x2(x-1)dx ∫ x3 -x2dx x4/4 -x3/3 +c

Q: 19. For the following function f (x) 3x-4 %3D find any x-intercepts, y-intercepts, and equations of…

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Q: dx sin" 3x tan 3x

A: The objective of the question is evaluate the indefinite integral.

Q: 3. 2x°- 2x) dx x²+10 2 t1o

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Q: The area bounded by the line y = x, the x - axis, the ordinates x =1, x = 2 is 3/2 O 5/2 O 1/2 7/2

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Q: 3.f(x) = (2x+3 if x =1 2 if x=1 4. (x)= {3+x if x s1

A: (3)f(x)=2x+3 if  x≠12     if  x=1limx→1-f(x)=limx→1-2x+3=5limx→1+f(x)=limx→1+2x+3=5f(1)=2it is…

Q: TRUE OR FALSE 10. Addition and Simplification can be applied to part of lines of proof. 11. If p, q,…

A: Here is the solution

Q: 13. Evaluate: sin(x²) dx A) 2x cos(x2) B) 2x sin(x?) C) 2x cos 2x D)2x cos x 14. Find the derivative…

A: To find Evaluate the integral:

Q: 2. (sec 5x t C9C 5x) dx

A:

Q: 1 Evaluate dx. - 9x In(7e® + 1) 9x 1 -dx = In(|7+ e– 9æ|) + C 7+e-9x 7. 9

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Q: 4. If y = x cos x determine the 5th derivative. [y6) = (60x – x³) sin x+ (15x? – 60) cos x] |

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Q: Find the enclosed area by the curve with equation y=x^2-9 and x-axis in the region[-1,2]

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Q: Jy ニ0 (y cosxy +1) dx + z0- (xcosty +2y=3) dy

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Q: Consider the function f (x) = sec (e*). %3D o How many different functions are composed to get f…

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Q: Use the theorem of Leibniz in the following problems: 1. Obtain the n'th derivative of: x2y [x?y") +…

A: The objective of the question is determine the nth derivative of the given equation.

Q: y''  +  y'+  2y  =  3e^2x

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Q: CET *(z + 2) dx dy dz 2. Evaluate

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Q: x² + 4x + 1 · dx | (x – 1)(x + )(x + 3)' 3 국lnlx-11+ anlx +11-x + 31 +C Inx - 1| + Inx + 1| + Inx +…

A:

Q: 1) Use Green's theorem to evaluate o y'dx-x°dy where C is the curve shown: r2 where ri=3 and r2=5…

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Q: y" – 3y' + 2y = 2x² + e* + 2xe* + 4e3x

A: Given

Q: F(s) = (s-2)(s-4)(s-8)

A:

Q: The volume, when the curve y=v(3+ x^2 ) from x = 0 to x = 4 is rotated about x - axis is 100n 100/9…

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Q: x dx 1o. 8 x-X

A:

Q: 2x (x – 3)2 A = 6, B = 2 A = 2, B = 6 A = 2, B = - 6 A = - 2, B = - 6 A = - 2, B = 6 None of the…

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Q: ди and az ди ди Find дх ду (whenever possible) for the following functions. 1) u = 3x²y + xlny² –…

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Q: 10) Find the linear approximation to g(y) = Cos(y+1) at y = 0. Use the linear approximation to…

A: Here, the given function is: g(y)=cos(y+1) To find the linear approximation of g(y) at y=y0=0 using…

Q: 8. The general solution of y" + 4y = 3 sin 2x

A:

Q: The surface area of the solid of revolution of the region bounded by y = 2x, x = O and x = 2 about x…

A: Given: y=2x We know that surface area of solid of revolution about x-axis over the interval [a,b] is…

Q: 3. Jy

A:

Q: 5.) What can you conclude when dx is changing from negative to positive? A) fis at a local minimum…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Newton's Law of Cooling says that the temperature of a cooling substance is T = A + (T, – A)e*t, A…

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Q: 9. Sin 2X dx COS 2X

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Q: s+1 1. F(s) = 2.F(s) = s4+s2 2 (s +2)'+n?n²

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Q: Entered Answer Preview Result 1 1 incorrect The answer above is NOT correct. 1.8 -2 1,0 18 The slope…

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Q: Suppose f(x, y) : where x = r cos 0 and y = r sin 0. 4 af af and ar Find when r 1, 0 -

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Q: I. Show that the function f defined by (r, y) = (1, –1) f(x, y) = { x2 + y (x, y) # (1, –1) x+ y is…

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Q: Suppose x? + y + z² = 1 and z = g(x, y) > 0. Determine g Su (글, 글). 1 1 2

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Q: Find the first derivative of y = (x – 1) √ (2x – x2) + arcsin (x – 1) and y = arctan [ (3 sin x) /…

A: y=(x – 1)(2x – x2)   +sin-1(x – 1) y'(x)=d(x – 1)2x – x2   +sin-1(x – 1)dx        =d(x – 1)2x – x2…

Q: Solve for x: log(x) + log(x + 3) = 2

A:

Q: 5. Find an expression for y4) if y =e-'sin t.

A:

Q: Find the firsst derivative of y = arctan [ (3 sin x) / (4 + 5 cos x) ] and the first partial…

A: Given:       y=arctan3sinx4+5cosx First derivative:     dydx=ddxarctan3sinx4+5cosx…

Q: Find the dy/dx: Given 2x x+1 y =

A:

Q: 2. By integration, show that the area of a circle of radius r is A = Tr?

A: From the given statement

Q: equation of the tangent to the curve y = 1+ Int and x = t+ Int when t = 2

A: Topic:- application of derivatives

Q: A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.4 cm/min.…

A: Given;  Radius=9cm dr/dt=0.4 cm/min

Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

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Q: IV. Suppose z is a function of r and y, and tan Vy² + x² = z*e®y. Solve for dz dz and

A: