Please

Q: Solve the given differential equation by undetermined coefficients y" - 2y' 3y = 12ex 9 y(x) = -

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Q: (c) Find a function f such that F = Vf where F(x, y, z) = yzi+xzj + (xy + 2z)k.

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Q: For So √ 1² dt. use a change of variables to evaluate the definite integral. √5+t²

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Q: (b) Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: 1) Find the area of the region above the x axis and to the left of the line x = 1 bounded by the x…

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

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Q: gas station stands at the intersection of a north-south and east-west road. A police car is…

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Q: Solve the following ODES by Undetermined Coeff. 17 4X y - 16 y = 19.2 e + 60 e ycolý 4X -4X Ans:…

A: The given differential equation is;  y''-16y=19.2e4x+60ex y(0)=y'(0)=0.

Q: is 2 Sinh xt sinh (۱) Let y emx (to) be the trial solution to the Corresponding homogeneous equation…

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Q: n zise me gebrac ve do chang Find the extreme values of the function and where they occur. y = x³ -…

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Q: Solve the given initial value problem. y" - 4y' + 3y = 0; y(0) = -1, The solution is y(t) = y'(0) =…

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Q: Question 4 An artist has decided to finish their piece of artwork by balancing it on a fulcrum and…

A: Given that y=sinπx+4bounded by x=0,x=2 and y=0Solutiuon :centroid x¯…

Q: 4.7 Show that does not exist. lim (x-2)(y-1) (x, y) → (2, 1)(x - 2)² + (y − 1)² -

A: In this question we have to show that limit does not exist.

Q: An exponential function f(x)=abxf(x)=abx passes through the points (0, 8000) and (2, 3920). What are…

A: An exponential function fx=a.bx passes through the points 0,8000 and 2,3920

Q: -5 -4 -3 -2 -1 midline: y = amplitude: 7 period: -1 -4 q Determine the midline, amplitude and period…

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Q: Find the gradient of the function at the given point. w = x tan(y + 2), (19, 9, -2) Vw(19, 9, -2) =…

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Q: Write the expression in algebraic form. [Hint: Sketch a right triangle, as demonstrated In Example…

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Q: Find the derivative of the function using Chain Rule. h(x) = (2x-6)-¹ (x²+3)

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Q: 3 Find the Cartesian coordinates of the following points (given in polar coordinates): 3.a (√2, π/4)…

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Q: Find the equation of the level surface of the function g(x,y,z)=x^2+y^2+z^2-2x+4y-6z corresponding…

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Q: Solve the following ODES by Undetermined Coeff 11 X 4X y 16 y = 19.2 € + 60 e - , уса) =ўс=0 THY 4X

A: This is a problem of ODE. Please follow the procedure given below.

Q: Determine the graph of the equation. -x² - y² =z Choose the correct graph of the equation. O A. at…

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Q: s help A

A: calculus

Q: (a) Determine whether the series n=1 n+1 n³ +3 is convergent or divergent.

A: Solution: ∑n=1∞n+1n3+3

Q: Evaluate each expression based on the following table. X f(x) (a) f(2) - f(-2) (b) f(-1)f(-2) (c)…

A: To evaluate the given expressions.  From the given table.

Q: Find the domain and the range of the function. (Enter your answers using Interval notation.)…

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Q: Write an equation for the transformed logarithm shown below, that passes through (3,0) and -5-4-3-2…

A: The graph is given as , Find the equation for the graph.

Q: 5) What is the horizontal asymptote of f(x)= a. y = 5 7 b. y = 2 2x-7 5x+3 c. y=-37 d. y = 5

A: The objective of the question is determine the horizontal asymptote of the given function and choose…

Q: 7. dx S- X-3√x²

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Solve the differential equation by variation of parameters. 1 8 + ex y" + 3y' + 2y = Step 1 We are…

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Q: Hello! Can someone help me solve both A and B. Thank you! Please show all work, as i keep getting…

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

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Q: 1 For the parametric curve * = find an equation for the tangent line to the curve at the point…

A: To find equation of tangent line:

Q: Write an expression in factored form for the polynomial of least possible degree graphed below. 3- W…

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Q: (a) Find an equation of the tangent plane to the surface at the given point. x+y+z= 12, (4, 3, 5)…

A: Our Aim is to find :-(a) An equation of the tangent plane to the surface at the given point.Here…

Q: F(x, y, z) = -k At (-2,-2, -2) the vector is At (-2,-2, 2) the vector is At (-2, 2, -2) the vector…

A: Given vector field F(x,y,z)=-k Here k is constant

Q: Consider the following differential equation to be solved by variation of parameters. y" + y =…

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: (a) Find x, y, z and B, where Tox 37 A = 1 -3 y A² = 1; C(4+1)+3B7 = 2A, and I: unit matrix ; 4 o…

A: Please re-state the subpart (b) properly.   To find the values of x, y, z and the matrix B=?

Q: Find the extreme values of the function and where they occur. 7x X + 1 y= 2 OA. The minimum value is…

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Q: Use long division to find the slant asymptote f(x)=2x2+7/x

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Q: Question 28 to determine the instantaneous rate of change of 3, to the nearest tenth.…

A: Explanation of the answer is as follows

Q: Question 25 Use the slopes of tangents to determine whether the function f(x) = -6x² + 36x is…

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Q: 13) x+2 x+4, Which inequality is equivalent to *-*+4? = x-3 x+1 a. treb. 2x² + 4x-10 (x-3)(x+1)…

A: This is a problem related to linear inequalities. Please follow the procedure given below.

Q: You go to the doctor and he gives you 14 milligrams of radioactive dye. After 12 minutes, 6.5…

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Q: Problem 2.11 For what values of x is f continuous? f(x) = { 0 if x is rational x if x is irrational.

A: We have to check the continuity of the function.  For continuity, left hand limit = right hand limit…

Q: 9 P cost D2 + 1 }; రె 2 cos²x T+a {

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Q: Find 1) the eigenvalues of matrix B 2 -1 -1 0 2 -1 2

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Q: 10) Solve a. b. X-6 x-3 x+2 X+1 = x = -2,-1 x = 1 for x. C. d. x==1 x = 0

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Q: 1. Use the data given to solve the following problems. Savings needed for Health-Care Expenses…

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