Q1/Show that the differential equation by by y' = x²y x³ + y³ is homogeneous and find the particular solution when y(1) = 1.

Q: Suppose that for a company manufacturing calculators, the cost and revenue equations (in dollars)…

A: Answer :: Rate of change in Cost :: 24,000 Rate of change in Revenue :: 3,18,400 Rate of change in…

Q: nd the maximum rate of change of f(x, y) = In(x2+y2) at the point (-5, -2) and the direction in…

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Q: Consider the following. SSTE z dv, where E is enclosed by the paraboloid z = x² + y² and the plane z…

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Q: ind the centroid of the region bounded by y = 3x5, y = 3 and x = 0

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Q: Consider lim,-8 x2 = 64. Find the maximum value of 6 such that, if |x - 8|< 6, then |x² - 64| <…

A: Consider To find the maximum value of  such that, if .

Q: Ex 1. Calculate the derivative i) x² + y² = 1. dy 33 dx for the following: ii) xy= x²+y.

A: To calculate the derivative  of the following.

Q: Use the word bank below to fill in each label. 31/2 512 #Amplitude :: Midline :: Period :: Maximum…

A: By using the given words to fill in the blanks in each label.

Q: Q3/ Find the general solution of the differential equation dy 3x2 tan y)+ x³sec2y- = COS X dx 17.10.…

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Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Two planes intersect each other as the cross product of normal vectors is non-zero.Explanation:…

Q: 20. Given a = [3,-5, 1], b = [−2, 4, −1] and ♂ = [7,3, −2], find a) b.z b) ax c c) 0, the angle…

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Q: 20. Given a = [3, −5, 1], b = [−2, 4, −1] and ♂ = [7,3, −2], find a) b.z b) ax c c) 0, the angle…

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Q: Find the orthogonal trajectories of the family of curves y6  =  k x6

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Q: uppose that f and g are functions such that f(5)=3, f'(5)=-2, g(5)=4, and g'(5)=-5. nd h'(5) where h…

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Q: A price p (in dollars) and demand x (in items) for a product are related by 2x2 - 4xp+70p² = 29,000.…

A: A price p (in dollars) and demand x (in items) for a product are related by       2x2 - 4xp + 70p2 =…

Q: what does z equal?

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Q: Determine the value of k for which f'(3)-2, if f(x) = x+*. x-1

A: Given a function,f(x)=x+kx−1To find : the value of k for which f′(3)=2.Using the quotient…

Q: If consumption is $7.9 billion when income is $1 billion and if the marginal propensity to consume…

A: Given marginal propensity  (in billions of dollars)

Q: Which of the following integrals gives the length of the graph y = sin √ between x = a and x = b,…

A: The integral will be ∫ab​1+4xcos2x​​​dx.Explanation:Steps and explanations are as follows:In case of…

Q: SOLUTION If f(x)=5x2 - 1 40 In(x), then 1 f'(x)= 10x 40x 1 + [f 1 + [f'(x)]² p>'(x)]² = - ( 1 10x…

A: S(x) = 5x2 + (1/40) ln(x) - 5

Q: 18.2 Well water having a total hardness of 300 mg / L as CaCO , is softened by split treatment . A…

A: The objective of the question is to calculate the regeneration period, the hardness of the finished…

Q: day is given by the following. P(x) = -0.05x² + 22x - 120, 0 < x < 400 (a) List all the critical…

A: Note: According to Bartleby guidelines, we can solve only first three subparts of the question.  If…

Q: Find the distance between the points using the following methods. (1,5), (6,9) (a) the Distance…

A: a)Distanceformula:         Distance(d)=41​units b)Integration:          Distance(d)=41​units…

Q: Determine the interval of convergence of the power series Σ (x-5)" n.3n n=0

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Q: If consumption is $7.9 billion when income is $1 billion and if the marginal propensity to consume…

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Q: Is the point (1, 2, 3) on the plane = (-3,4,0)+(6,4,-2)+s(1,-4,4)? Show your work

A: The answer is given below Explanation:

Q: Using the Laplace theorem, find the determinant of the following matrix : D = [2 1 3}/ [4 5 6]/ [7 8…

A: The objective of this question is to find the determinant of a 3x3 matrix using the Laplace theorem.…

Q: Please solve this old vector calculus problem by shpwing all the steps. Thanks!

A: The value of the double integral:∬D​∣∣∣∣​2​x+y​−x2−y2∣∣∣∣​dA=32−32​​ Explanation: Step 1: To compute…

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Q: #6: Consider the same system as given in the previous problem: 4xu² + 5yv4 = 9 (2xy(u² - 1²) = 0 It…

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Q: pls help on all asked questions pls

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Q: PROBLEM 11 SHOW COMPLETE SOLUTION PLEASE

A: A) 50mmB) 100.825 mmC) 15.89 .mmExplanation:Step 1:Step 2:Step 3:Step 4: 5)6)

Q: Let F be a smooth 2-dimensional vector field defined on an open set U inthe plane containing a point…

A: The objective of the question is to find the curl of a 2-dimensional vector field F at a point P,…

Q: A rectangle has a length of 8 inches and a width of 6 inches whose sides are changing. The length is…

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Q: Let f(t) = 8t2/3 + 5/3 (a) Find all partition numbers of f'(t). (Enter your answers as a…

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Q: Use the trapezoidal rule, the midpoint rule, and Simpson's rule to approximate the given integral…

A: .

Q: A rectangle has a length of 7 inches and a width of 8 inches whose sides are changing. The length is…

A: Let the length and width of rectangle be l,bl=7 inches, b=8 inches

Q: No hand written responses. I need help with a step-by-step breakdown in laymen terms for each part…

A: A. C.B. D.C. -60D. C. Explanation:Approach to solving the question and detailed explanation: (A)…

Q: Let S be the part of the sphere x^2 + y^2 + z^2 = 1 that lies above the conez = sqrt(x^2 + y^2).…

A: The objective of this question is to evaluate the surface integral of the function sqrt(x^2 + y^2)…

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Angle that vector a = (12,-3,4) makes with the y-axis is  arccos(13−3​)Explanation: For any query…

Q: Let f(x)=x²-5x - 36. (a) Find the interval(s) where f(x) is increasing. (Enter your answer using…

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Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = 1 for f(x) = ln(x + 1). T2(x) =…

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Q: Suppose that the marginal propensity to save is ds dy = 0.4 1 y + 1 (in billions of dollars) and…

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Q: 8. Determine the first derivative and determine the exact slope of the tangent for the indicated…

A: The function is given byTo determine: The value of Formula used:The slope of the tangent line at of…

Q: Let z be a number that satifies the Mean Value Theorem for f (m) on the interval 4 ≤m ≤ 16. What is…

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Q: PLS HELP ASAP

A: Answer- I have given hand written solution in the explanation box. Explanation:Step 1:Step 2: Step…

Q: Water sits in a hemispherical bowl of radius 8 cm. The depth of the water is 2 cm (i.e., from the…

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Q: ii) siny+x= y.

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Q: Suppose that the marginal propensity to consume is dc 0.5 -2y (in billions of dollars) dy and that…

A: Given that the marginal propensity to consume is

Q: Find the partial derivatives of the function က် ထိ စီ ။ ။ ။ w=v4r2 +882 +7t2

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.2 cm/min.…

A: The rate at which the volume of the snowball is decreasing (due to the negative value of dv/dt) when…