Solve for x at y=1; (1+y^2)dx + 2xy dy=0; y(-5)=2

Q: Find div F if F(x, y, z) = (x² + y)i + z²j + (eY - z) k.

A: Our Aim is to find the value of div F if F(x,y,z)=x2+y i +z2 j+ey-zk -(i)Let  F(x,y,z)=x2+y i +z2…

Q: 3. A theatre has determined that its profit function is given by P(x)=x² +9x-11, where x is the…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: = (2x²-3x+1 2x-1 ,x 0.5 Determine constants A and B such that is continu values of x. Show your…

A: Topic:- application of calculus

Q: Find both first partial derivatives. h(x, y) = e(x¹0 + 10 hx(x, y) = h₂(x, y) =

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Q: Evaluate the line integral along the curve C. S-Tabe − ydx + xdy, C: y² = 3x from (3,3) to (0,0) O O…

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Q: Find all points of inflection and discuss the concavity of f(x) = x^2 *(3x - 5)^1/3

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Q: Solve: x"-x+ 5 y'=t y" - 4y-2x = -2 with x(0) = y(0) = x'(0) = y'(0) = 0 Let L{x(t)} = U(s) &…

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: Here, the given function is: f(x)=y=x9-9x

Q: ← + New ▶ LO (F ☆ 0 Screenshot (1907).png 2011- Files Find the Wronskian of two the functions y₁ =…

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Q: Question Use an appropriate linear approximation to estimate √48.95. (Round your answer to three…

A: Given data÷ Use linear approximation to estimate 48.95 Since 49=7 is easy to compute and 49 is close…

Q: Find the general solution to the linear differential equation: y" - y' - 2y = 0 O y = C₁e²x + С₂е¯x…

A: Given that a linear differential equation y''-y'-2y=0. We need to find the solution of this linear…

Q: prove that the function f(x) = e¯* sin(x) satisfies the е differential equation ƒ (x) + ƒ'(x) = e¯ª…

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Q: Question 9 of 20 View Policies Show Attempt History Your Answer Correct Answer Correct. Solve the…

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Q: Answer true or false. If f is not piecewise continuous on [0, co>), then L{f(t)} will not exist.…

A: The given statement is

Q: Use the Laplace transform to solve the given initial-value problem. y(t) = y""+ 2y" - y' - 2y =…

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Q: Equations of the form r=a sin (m0) or r= a cos (m0), where a is a real number and m is a positive…

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Q: PART 2: Obtain the general solution dv V dP P Obtain the particular solution y' = 1 + y² such that…

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Q: Find r(t) if r'(t) = 6t³¡ + 7tºj + √tk and r(1) = i + j.

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Q: Let f(t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid…

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Q: Solve the initial value problem. ds dt I cost- sint, s = 3 2

A: To solve the initial value problem.

Q: Question Given f(x) below, find f'(x). Provide your answer below: f'(x) = f(x) = fot t¹ dt

A: The given data is: fx=∫xx3t4dt  To find the value of f'x

Q: Which is the center and radius of the circle given by the equation, x² + y² - 6x 10y + 11 = 0?

A: The answer as follows:

Q: Consider the following. 4x -y + z = 6 Sketch a graph of the plane... O Y_6 X6 Y_6 X6 4 -4 4 2 N N 6…

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Q: 4. Choose a solution to the differential equation y" + 3y' + 2y = sin eº. -2x -2x cos €² e + e е -2…

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Q: 2. The table shows values of the function y = G(t). Use the table to estimate the value of 50…

A: Physical significance of integration is calculation of area under the curve. Here discrete values at…

Q: y = x -1 and y2 = x + 1 Set up the limits of both iterated integrals (No evaluation!): ∫ ∫ f(x,y)…

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (et-e-tj² L{f(t)}…

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Q: If two objects travel through space along two different curves, it is often important to know…

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Q: Which of the following is the equation of the ellipse with a vertical major axis, center at (1, -3),…

A: Here we have to find the equation of an ellipse.

Q: Let y = sin(5x). If Ax = 0.4 at x = 0, use linear approximation to estimate Ay Δy ~ Find the…

A: Given: y=sin(5x) ∆x=0.4  at x=0   Solution: y=sin(5x) For the function y=f(x),   ∆y=f(x+∆x)-f(x)…

Q: Show that the sequence defined by 1 a₁ = 1 an is increasing and an < 3 for all n. Deduce that {an}…

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Q: (a) ах = Du DE = du, ada voa waye by oz + + + 2x DE 2. (x²= y² + x) x (2x+₁) + (-2xy-9)x (-2y) (2x +…

A: We have to simplify (x2 - y2 + x) × (2x + 1) + (-2xy - y) × (-2y)

Q: The marginal average cost of producing x digital sports watches is given by the function C'(x),…

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Q: = √x³ + 2x³-3x d (x²+1)³ dx

A: Topic:- application of integration

Q: Use the Laplace transform to solve the given initial-value problem. y"" + 2y" y' - 2y = sin(4t),…

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Q: Find f such that f'(x) = f(4) = 44.

A: Given,            f'x=9x , f4=44

Q: Find the curvature and the radius of curvature at the stated point. ㅠ r(t) = 11 cos(t)i + 10 sin(t)j…

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Q: The weekly marginal cost of producing x pairs of tennis shoes is given by the following function,…

A: The weekly marginal cost of producing x pairs of tennis shoes is given by the following​ function,…

Q: ad curl F if F(x, y, z) = xz7i+ 5y¹¹x²j + 6z²yk. d with CamScanner

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Q: Screenshot (1603) Screenshot (1597).png Solve the given differential equation. All solutions should…

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Q: The circumference of a sphere was measured to be 76 cm with a possible error of 0.5 cm. Use linear…

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Q: The function s(t) describes the motion of a particle along a line. s(t) = 14t-t² (a) Find the…

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Q: Find the value of the constant k so that the differential equation (e-9 + cos x + kxy)y' = y(y + sin…

A: Using the fact that an exact differential if dM/dy=dN/dx

Q: Calculate the indicated Riemann sum S3 for the function f(x)=x²-9x-52. Partition [0,6] into three…

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Q: Answer true or false. F(s) = s²/(s² + 4) is not the Laplace transform of a function that is…

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Q: curl(9z i+ 10x j + 4y k). (9z i+ 10x j+ 4y k) = ( i Textbook and Modia )i + (i )j + (i

A: To find out the curl of the given vector.

Q: Use Definition 7.1.1. Definition 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

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Q: Consider the function f(x) = 6 - 7x² on the interval [ — 4, 3]. Find the average or mean slope of…

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Q: Differentiate the following functions. Show complete work f(x) = (tan x)*² b) _g(x) =…

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Q: 3. Let o(a) be a solution to the initial value problem: y" + 2y' + 5y = 0; y(0) = 0, y'(0) = 4.…

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