What is the value of 1/2 x(3 cos(x) + sin(x))dx ? -7/2 Give your answer as an integer or as a decimal to 3 significant figure

Q: xdy +(y– xy+2)dx = 0

A: The given differential equation is; xdx+(y-xy+2)dy=0

Q: solve question 32 with complete explanation asap

A: Topic:- complex number

Q: Write out the first four terms of the Maclaurin series of f(x) if f(0) = –4, f'(0) = 13, f"(0) = 14,...

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Q: UQuestion 2| Differentiate each of the following functions with respect to x a) y = 3x b) f(x) = +5x...

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Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A: Topic:- application of derivatives

Q: A)Find the area of the region y=tanx , y=2sinx, B) Find the volume of the frustam of a pyramid with ...

A: For C reupload it according to bartleby guidelines

Q: For the graph shown, identify a) the point(s) of inflection and b) the intervals where the function ...

A: Given graph,

Q: Part b: Continue to assume that the height of your cylinder is 8 inches. Write the radius r as a fun...

A: Solution is written in below steps.

Q: du formula answer 24 +2 (2x-1)"(Ax + 2)""

A: Given: I=∫24x+22x-133x+23dx  ...1   We know that; The Product rule: f·g'=f'·g+f·g' The Power rule: ∫...

Q: Find the radius of convergence and the interval of convergence. 2* k=0

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Q: The point P (2,1) lies on the ellipse 5æ²+ 6y? = c. Determine the value of c and write the point-slo...

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Q: Compute the work required to stretch a spring from equilibrium to 8 cm past equilibrium, assuming th...

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Q: 5 In(x); xo = 1

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Q: Find the derivative of the following function using the limit definition: z =7y2- 11/x

A: We need to find derivative.

Q: 1 (a) 23k + 2 00

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Q: At noon, ship A is 140 km west of ship B. Ship A is sailing east at 30 km/h and ship B is sailing no...

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Q: Q3) Evaluate the following integrals: sec(tan-1x). tan³ (tan-1 x) A) y = S dx 1+x2

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Q: An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round ter...

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Q: 8. Show your complete and step by-step solution. dx 6. Evaluate – 16r? 2e" 7. Evaluate +4e'+6 8 Eval...

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Q: n + 3 n- 1

A: Given query is to find the series converges or diverges.

Q: Consider the function f(x) = 2x° + 4x" – 8x² – 8. An antiderivative of f(x) is F(x) = Ax" + Bx™ + Cx...

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Q: answer

A: We can find the derivative of the fucntion F(x) which will give f(x) and then match the columns. 

Q: A baseball diamond is a square with side 90 feet. A batter hits the ball and runs toward first base ...

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Q: For the following function, a) give the coordinates of any critical points and classify each point a...

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Q: Find all solutions to the equation |5-3x| -2 +x = 2x + 5

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Q: 2. xdy +(y-xy+2)dx=0

A: Given,           xdy+y-xy+2dx=0To find : Solve the differential equation.

Q: Order by the magnitude of the angle between the vectors with the pair with the smallest angle betwee...

A: 1) (1,2,3) and (1,0,0) angle cosθ = A*B/[A][B]            cosθ = (1,2,3)*(1,0,0)/(12 + 22 +32)(12 + ...

Q: y = /x+ /x

A: We will use algebraic techniques to find the derivative.

Q: A pair of parametric equations is given. x = Vt, y = 9 t (a) Sketch the curve represented by the par...

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. Σ k! k = 1 Identify a...

A: topic- sequence and series  

Q: Evaluate the following differential equations by method of variable separable. Show your solution. 1...

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Q: (b) Given that = 3 in steps of 0.2, given that y = 4 at r = 2. dy = x+Vy. Use Euler's Modified Metho...

A: Given y'=x+yy(2)=4   , y(3)=?       h=0.2  modiefied euler method is yn+1=yn+hfxn+h2 , yn+h2f(xn ,yn...

Q: Practice: Find the volume of the solids generated by rotating the area bounded with the given functi...

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Q: 23) Find the limit for the following function by using L'Hopital's Rule: x². e* lim x→0 tan² x

A: limx→0x2extan2x

Q: Test the series for convergence or divergence using the Alternating Series Test. in 2(-1)"- n° + 7 n...

A: Given query is to find the series converges or diverges.

Q: Find the unit vector of A=3ax+2ay-3az

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Q: 19. A rock thrown into a still pond causes a circular ripple. If the radius of the ripple is increas...

A: Given :Radius of thr ripple increasing by 2 feet per secondCircumference = 2πr

Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. 00 5+ 2"...

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Q: (-1)" - 1 6" n = 1 3

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Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the exac...

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Q: = t?y – y + t? – 1, y (0) = 1 dt dy Solve the differential equation

A: Given: dydt=t2y-y+t2-1   We know that; ∫1ax+bdx=1alnax+b+C And The Power rule: ∫xndx=xn+1n+1+C ; n≠-...

Q: B Resort Number of rooms A Total 114 134 181 285 714 a) Determine the standard divisor. (Type an int...

A: Since only part a is visible, henc answering part a. Given query is to find the the standard divisor...

Q: i) State the change-of-base formula for logarithms. ii) Using the change-of-base formula, and the na...

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Q: Write the complex number in polar form with argument 0 between 0 and 2n. -1 - V3i

A: Given query is to write the expression in Polar form.

Q: 15 10 -6 -5 -4 -2 12 3 4 5 6 -5 10 -15 Determine the equation of the polynomial, f(2), of minimum de...

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Q: 1. Given: az = 12, a3 = 24 Find: ao =? а. 2 b. 4 с. 3 d. 5 2. Given: a, = 16, a, = 1024 Find: a, =? ...

A: 1)  a2=12 , a3=24    Since the terms are in geometric progression    ⇒a3a2=a2a1=a1a0=rconsider a3a2=...

Q: A cylindrical tank with radius 7 m is being filled with water at a rate of 3 m/min. How fast is the ...

A: This question is based on application of derivative.

Q: Use the Quotient Rule to find the derivative of the function. Re) = Sos(t) f'(t) =

A: We will find the derivative of the function f(t) as following.

Q: y- 12e, y- , x-0, x-1 Sketch the region and a typical shell. Rotating a vertical strip around the y-...

A: Given:-the region bounded byy=12e-x2, y=0,  x=0 and x=1rotating about the  y-axisusing cylindrical s...