Solve the given initial-value problems. 4.43. re dr +(y-)dy 0; y(0) 0

Q: Assume that C(x) is in dollars and x is the number of units produced and sold. For the total-cost…

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Q: 4-x² 4. Evaluate [*, [* (r² + y°) dz dy dx. 4-. Hint: This iterated integral is a triple integral…

A: Cylindrical Coordinates:       Put x= r cosθ and y=r sinθ and z=zthen,      r = x2+y2 and θ =…

Q: Which of the following is NOT a solution to the trigonometric equation sin 0 + cos 0 = 1? O Option 1…

A: Substitute the values given in the options and verify.

Q: Which of the following expressions represents the height of a right circular cone having a slant…

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Q: r(3x² x + 8x – 12)d: .3 x' +7x +12x

A: Given:          ∫3x2+8x-12x3+7x2+12xdx Factor the denominator:       =∫3x2+8x-12xx+3x+4dx The form…

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Q: In arcsin x (V1-x²)arcsin x

A: Given:     ∫lnarcsinx1-x2arcsinxdx    =∫lnarcsinx1-x2arcsinxdx substitute…

Q: Learning Task 3: Identify whether the given graph illustrates an extreme value theorem or not.…

A: Let's find.

Q: EXACT VALUE OF C IN INTERVALS QUESTIONS (such that f(c) = fave) A. 3x2+2x - 4, [-2, 4]  B. 5cos(x)…

A: As per our guidelines we are supposed to answer 3 sub-parts , kindly repost the remaining part as…

Q: dr Find if r sin[cos(-0)I. dr dr cos[sin(-0)] = sin 0 cos(cos 0) d0 d0 Option 3 Option 1 dr dr - sin…

A: The objective of the question is evaluate the derivative of the given function. Note -  As per our…

Q: Consider the function Z = 2x²(1 – e-) where x and y are given to be 5 and In 5 respectively. Find…

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: nn - 1(x) dx n + 1(x) dx wing. of the following is correct for odd powers of sine. 5....n · 2n 2n…

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Q: Find the maxim um and minimu m value s of the the constraint x2 + y? + z? = 400. Maximum value is…

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Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A: We can solve the given problem as follows:

Q: Find the most general antiderivative or indefinite integral. csc 30 de csc 30 - sin 30

A: The objective is to evaluate the integral.

Q: Compute the line integral of the scalar function f(x, y, z) = 2x² + 8z ver the curve c(t) = (et, t2…

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Q: Find the dot product of the following vectors u and v. %3D

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Q: A cone was formed by rolling a thin sheet of metalin the form of a sector of a circle 72 cm in…

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Q: Solve the following items and show your solutions. b.) Identify if the following functions are…

A: I am attaching image so that you understand each and every step.

Q: The value of a dollar decreases by 22% every year. Find the half-life in this situation.

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Q: 2. Find an equation of the sphere satisfying the given conditions. a. It is concentric with the…

A: In this question, we want to find an equation of a sphere which is concentric with the given sphere.

Q: statements is NOT true?" a = 230, b = 150, C = 95° The length of the third side is 25.13 unite The…

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Q: Solve the following items and show your solutions. b.) Identify if the following functions are…

A: To determine whether the given function is homogeneous or not.

Q: True/False: The saddle point of the of the function f(x,y) = x² – e occurs at (0,0). - O True O…

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Q: Find Ay and f'(x)Ax for y = f(x) = 2x – 1, x= 3, and Ax = 3. Ay = (Round to four decimal places as…

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Q: Find the gradient of the function at the given point. In(x2 - у) - 3, (2, э) Vz(2, 3) = %3D

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Q: 11m Convert to its degree measure. 6.

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Q: Find Ay and f'(x)Ax for y = f(x) = 6x, x =4, and Ax = 0.06.

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Q: sin 2x (1 - 2 cos 2x)? dx 6.

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Q: Prove that (y – æ)(y + 3x)³ = cx° is a solution to 3x2 – 2xy + 3y² )dx = 4xydy.

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Q: 5 If csc² A = ;, what is the value of 1- cos? A? 2 5 5 2 2 Option 1 O Option 2 2 2 D Option 3 O…

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Q: (8) 2xy = x2 + 2y² = x² dx

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: After its fastest rate of growth ever during the 1980s and 1990s, the rate of growth of world…

A: I am attaching image so that you understand each and every step.

Q: Suppose f'(x) = sin(2x²). d ; f(7æ) =| dr d de f(32®) = [

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Q: What is the relative minimum value of the function f(x, y) = x° - 3xy + y – 2? Note: If the answer…

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Q: Verify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), в(2, -1,…

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Q: Find the volume of the region lying above the cone o = and below the sphere p = 7. (Use symbolic…

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Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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Q: Your professor said that this cannot be solved using Power or Logarithm Formula alone. Other formula…

A: The general form of integrand to apply power formula∫fxndx = fxn+1n+1 + CIn the given problem,…

Q: Jse the cylindrical shell method to calculate the volume of the solid Formed by rotating the graph…

A: Please refer to the image below

Q: y^2=(x^2 - 9)/(x - 4) find the x and y intercept, symmetry, region/scope, asymptotes, critical…

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = -9i + 80j - k v = 9i + j - k O…

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Q: Direction: Eliminate the following arbitrary constants to obtain the DE. 1. y sinx – xy² = c -

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Q: y = 5x – 6 tan x, concave upward concave downward

A: Given problem:- y=5x-6tan(x) , (-π/2, π/2)  Determine the open intervals on which the graph is…

Q: Use the position function s(t) --4.9+ 650, which gives the height (in meters) of an object that has…

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Q: -8e4t* + 2e6t cos 2t

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Q: Evaluate the integral where D is the region bounded by y = x, y = 2, and r = 0. Hint: One order is…

A: We will solve this question by changing the order of Integration.

Q: Solve the following items and show your solutions. b.) Identify if the following functions are…

A: 4.