When is an equation considered as a solution of  differential equation?

Q: Situation 3: Find the area enclosed by the graph of the curve x^2+8y^2+16 = 0, the x-axis, the y-axi...

A: according to our guidelines we can answer only three subparts, or rest can be reposted.

Q: 2) An agriculturist wanted to plant seven different organic crops in a small field. To properly stud...

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

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Q: Solve for the following problems: There are 5,500 men, women and children altogether at the swimming...

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Q: A loan, amortized over 5 years, is repaid by making payments of $1,900 at the end of every month. If...

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Q: The function S(t) = 800 – 800t gives the shares of stock sold of a new product at year t for t 1. No...

A: Given:    S(t)  = 800 - 800t-1

Q: Question 3 Given: Using u-substitution and transformation of integrand, what is u and du? dx. 3Vx-2r...

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Q: Write the first five terms of the sequence, give the exact answer: +00 n+ 19 n=1 Determine whether t...

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Q: d [u (v X w)] = dw. lu • (v X w)] = [v X w]+ u• xw] [v X w] +u * + u * [v X dt dt dt Idt

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Q: 3x -dx be given. If 4=e*+2. then the resulting integral is f(u) du.compute f (3). e* +2 Let 2 (A 3 B...

A: We have to find value of f(3)

Q: Use the formula for the binomial series: (1 +x)" = 1+ mx + + + -1) %3D = I+ Ei to obtain the Maclaur...

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Q: 8*+2 11k–1 k=1 The series diverges ||

A: Given problem:-       To find:- Given series divergent or convergent and find its sum

Q: Let F = %3D So Use Stokes' Theorem to evaluate F · dī, where C is the curve of intersection of the ...

A: Here, the given function is F=xy,5z,4y To use Stroke's theorem: ∫CF·dr=∫∫S∇×F·N^ dA And, ∇×F=ijk∂∂x∂...

Q: Find the total differential dw. 5. w = x tan¬ y – 2ªyz

A: The objective is to find total derivative dw.

Q: From the roots of indicial equations, identify the general form of the first and the second solution...

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Q: uestion 14 of 24 For each of the questions below, indicate if the statement is true (T) or false (F)...

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Q: A closed right circular cylindrical tank is to have a capacity of 128??3. Find the dimensions of the...

A: Volume of cylindrical tank is 128π m3.

Q: The nutritional content per ounce of three foods is presented in the table below. If a meal consisti...

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Q: cot (2x) Evaluate the integral - * xp- V cor (2x) - 15 csc (2x) (A) -Arcsec +C 4 (B -- In cot (2x) +...

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Q: 10. Using Stoke's theorem, evaluate y dx+ xz dy+x² dz where C is the boundary of the triangle cut fr...

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Q: Calculate F . dS where F = (4x°z, 4y°z, 3z*) S is the surface of the solid bounded by the hemisphere...

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Q: Water is running out of a conical tank 3m across the top and 4 m deep at the rate of 2m3/min. Find t...

A: Here, the volume of the conical tank is: V=13πr2h   ...(1) Here, here triangles ABC & DEC are s...

Q: Find the nth Taylor polynomial for the function, centered at c. 1 f(x) п %3D 4, с %3 3 2(х - 3) + 1(...

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Q: Evaluate the integral / V4x4 - 12r? +7 xdx A - {(2x?-3) /4x4– 12x?+7 - 2 In |2x?– 3 + V4x4 - 12x2+7|...

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Q: Use the limit comparison test to determine whether the series converges 8. 74 +5 The series Save for...

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A: Given

Q: Find the radius of convergence of the power series. (If you need to use co or -co, enter INFINITY or...

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

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Q: Name: Section: Find the derivative of the following. Show your solutions. 1. What is (3x) ? 2. What ...

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Q: Does the following power series converge for all real values of x? n=1 O It converges for all real v...

A: We will do ratio test for convergence test

Q: Solve the following differential Equations

A: Given differential equation, x2+y2+1dx+xx-2ydy=0x2+y2+1dx+x2-2xydy=0 Formulas used, ddxxn=nxn-1ddxco...

Q: You plan to save money for a down payment of $42,000 to purchase an apartment. You can only afford t...

A: Please see the below picture for detailed solution. 

Q: Find the derivative of the function. y = cot?(sin(e)) y' =

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Q: Find the area of a triangle with the given description. (Round your answer to one decimal place.) a ...

A: area of triangle

Q: Please see the attached image to see the given. thank you  (a.) the critical numbers of f (b.) all ...

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Q: X+ tan (xy)=0

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Q: True or false? If f' is increasing on the interval (a, b), then f must be concave up on (a, b). True...

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Q: Let 1, if-3 <x s2 f(x) = %3D 4-x, if 2 < x<4 Without graphing, is f(x) continuous at x 2? Clearly ju...

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Q: A company deposited $10,500 into an investment fund at the beginning of every quarter for 7 years. I...

A: Let the company deposited amount m in dollars at the beginning of every quarter for 7 years. So, m=1...

Q: Ay 165- P(1.5, 132) The tangent line to the graph of f(x) at the point P(1.5,132) is shown to the ri...

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Q: If the solution to e2x sec2(e2x+1)dx is equal to ktan (e2x+1) + C, find the exact value of k. 1 (A) ...

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Q: Find the orthogonal trajectories of the family of curves y = kx'. = C (C) 3 y³ +x? = C (D) 3 y³ + 3 ...

A: Orthogonal trajectory

Q: 3/2 X2 dx

A: 1.∫x32tan-1(x) dxlet x=tdiff o.b.s12xdx=dt dx=2t dt∫t3tan-1(t) 2t dt=2∫tan-1(t) t4 dtwe know that ∫u...

Q: A company wishes to produce two types of souvenirs: Type A and Type B. Each Type A souvenir will res...

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Q: Let v = (x²z, 1 – 2xyz – 3y + x²y, 3z - x²z) be the velocity field of a fluid. Compute the flux of v...

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Q: Phillip contributed $1,800 at the end of every 3 months, for 5 years, into a Registered Retirement S...

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Q: The sum of two positive real numbers x and y is 6. Find an x and y among these such that the product...

A: We need to find x and y.

Q: df dy In each of the following, find and (j) f(x,y) = eaz+by

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Q: Answer the question below: Given: Let h(x, y) = In(xy² + 3x). Suppose k = h(x, y), where x = a² + b*...

A: Given K=h(x,y)=ln(xy2+3x)where x=a2+b4 and y=a2b6+3a  

Q: 3. (2y? + 3xy -2y + 6x ) dx + x(x + 2y - 1) dy = 0 ans. x? ( y + xy-y +2x) =

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