ind the (explicit if possible) general solution of thls ODE: dy + x2 + y? 0. x2 + y? dx

Q: 1. Find by implicit differentiation for xe = 2xy + y³.

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Q: 1. Find the length of the curve r(t) = (sin 2t, cos 2t) from t 0 to t = 2n. %3D 2. Find the length o...

A: As we know that, The expression for the length of vector-valued curve is: L=∫abx't2+y't2dt   1). Giv...

Q: Find the differential of each function. (a) y = tan(V5 dy = 1 - v2 (b) у 3 1 + y2 dy =

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Q: Express the repeating decimal as a fraction. 5.262626...

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Q: Sx² sin x dx

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Q: 7. уз y =/x³ – 1/1+ vx

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Q: Evaluate the following integral by using substitution ∫4x/√(x^2+1) dx   limit: 0 to √48

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Q: 11+11-12=

A: Given that: 11+11-12

Q: Use appropriate substitution to reduce the following equation to a variable separable and then dy 3x...

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Q: Question Calculate for w = zsin(xy2 + 2z). Do not include in your answer. Provide your answer below:

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Q: 8. y= sec® (e-sin?x) |

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Q: Find the abs extrema as well as all values of x where they occur for the domain.   f(x)= x/12 + 1/...

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Q: 1. SS xy dxdy , O: yob, yox? yoh, y 2 2

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Q: Consider the differential equation = (3 - y)cos x. Let y = f(x) be the particular solution to the di...

A: The given differential equation is: dydx=3-ycos(x)

Q: 25.) Find the radius of curvature of a parabola y? - 4x = 0 at (4,4).

A: Solution is given below:

Q: 75 ft A pole stands 75 feet tall, An angle 0 is formeđ when wires of various (engths of r feet are a...

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Q: 1) Does the series described by (-1)"; converge?

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Q: Test the series for convergence or divergence. 1.9. 17 · 25 7. 12 · 17 · 22 1 1.9 1.9. 17 + 7. 12 · ...

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Q: 1 1. Write the sum of the first four nonzero terms of the power series for - (Hint: 1- 2x 1 Use the ...

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Q: A time study showed that, on average, the productivity of a worker after t hours on the job can be m...

A: The productivity of the worker after t hours is given by: P(t)=21t+6t2-t3, 0≤t≤8 where P is the numb...

Q: A) What is the point of intersection between the plane x – 2 y +3 z +1 = 0 and the line r = + t? B)...

A: Use substitution method

Q: 1+ x)y = e¬=

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Q: 7) Find the radius and interval of convergence for the following power series. Sn°(x – 2)" 2n n=0 Ra...

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Q: 4. Given that aj = 3, ) ak = 1 and ) bk = 5, it follows that k=1 k=1 Eak and > 2ak + bk k=2 k=1 8. |...

A: Calculus   -  summation and  series 

Q: Given the triangle below, find the angle 0 in degrees. Round to the nearest degree. 17 9 Provide you...

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Q: 5. An airplane is flying at an altitude of 8,000 feet with a speed of 600 feet per second. If the ai...

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Q: 22 Find the Maclaurin series for f(x) = 1+x 22 :? 1+x What is the Maclaurin series of

A: Given:     f(x) = 22/1+x 

Q: 3y" – 6y' + 6y = eª sec x (variation of parameters)

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Q: Use the Root Test to determine convergence or divergence (or state that the test is inconclusive) of...

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Q: (a) Find the series' radius and interval of convergence. Find the values of x for which the series c...

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Q: 3. Consider the curve C defined by the vector-valued function R(t) = -2):+-3)j+ cos(t – 2)k, - oo <t...

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Q: Find: Wx-Wy,Wxy Way, Wxx Wyy,Wz, Wzz Wzx, WZy Wyz, Wxz W= sinh (xy-2) %3D

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Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

A: Given the improper integralI=∫01ln(7x)dx

Q: For the following functions. Please show all evidence. (a) Identify all local extrema, (max or min.)...

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Q: # 00 R #3 The temperature, H, in degrees Fahrenheit (°F), of a can of soda that is put into a refrig...

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Q: (a) Find the series' radius and interval of convergence. Find the values of x for which the series c...

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Q: Solve eX =9 for x. ... The solution is x (Type an integer or decimal rounded to four decimal places ...

A: Consider  ex=9

Q: Test the series for convergence or divergence. 3"n! 13 · 18 · 23 ... (5n + 8) n=1 Use the Select v a...

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Q: Let p (x) be a polynomial. Then limn->o∞ p(n) O Cannot be determined

A: Topic:- calculus

Q: Use substitution to find the Taylor series at x = 0 of the function 22 sin (- x). ...

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Q: Evalate the limit 6. lim (e + x)²/x

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Q: The graph below shows the influence of the of the temperature T on the maximum sustainable swimming ...

A: Given:   Graph is given

Q: Write the equation of a sine function that has the given characteristics. The graph of y = x2, shift...

A: Given that: y=x2

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 10" Σ...

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential...

A: This question is related to differential equations, we will solve it solve it using given informatio...

Q: Let S = E a, be an infinite series such that SN = 3 - n=1 10 16 (a) What are the values of E an and ...

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Q: Evaluate the integral S - dx V16-x2

A: Evaluate the integral of the integrand  x2/√(x2-16) .  

Q: Find the slope of the tangent to the curve, y = 2x – x² +x° at (0,2).

A: Given curve is  y=2x-x2+x3.  We have to find slope of the tangent to the curve , at (0,2 ). To find ...

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 00 12...

A: Given series ∑n=1∞ n1212nso an=n1212n

Q: Find the distance between (1, 2, 3) and (-1, 3, 4)

A: Consider the points  1,2,3  and   -1,3,4