(D³ – D² – 6D)y = 12x − 2 + 5e³x – 18 sin(3x) - -

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Q: B: Evaluate the following: r (4)r (²) 1

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A: Given:The single-lane street is 10 ft wide.The radius of the semicircular tunnel, r=9 ft.We need to…

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Q: Consider f(x) defined as follows: f(x) = 5x² + 13x + 6 |x + 2| [4 - 3x] + x, " x < -2 x ≥ −2…

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Q: Q1. Find the general solution for the following differential equation: -y² (x²ex² - y²)dx+xydy=0

A: The given differential equation is; (x2e-y^2/x^2 -y2)dx + xydy=0.

Q: Find the limit of the following:  a) lim x→∞ (sin2x / x2) b) lim x→∞ (x - √x)

A: As per the guidelines I am supposed to do the first question among multiple questions. So I am doing…

Q: 2. Are the planes 2x-y-4z = 10 and x - 2y + z = 4 parallel or orthogonal?

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Q: Eliminate A and B from the relation y = Ae²x + Bxe²x

A: Given:y=Ae2x+Bxe2x...................(1)

Q: Part B: ALGEBRAICALLY find the value of "k" that would make the function continuous Upload a picture…

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Q: Determine the degree of the differential equation: 3/2 d²y 2/3 (3x² 1²7 2 + 4xy) ¹² = ( 2y³ (²Y -…

A: The degree of the differential equation is defined as the power to which the highest order…

Q: The given table represents a pattern of exponential growth.   x      1        2          3 h(x)…

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Q: Find the profit function if cost and revenue are given by C(x) = 194 +6.5x and R(x) = 7x-0.09x² The…

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Q: 3. Given the function f(x) = (x²-1)/(x-1), determine if the function is continuous or not for all…

A: Given :fx=x2-1x-1

Q: Q3/ A: Find General Solutions for the following Differential Equations (Use Differential Operators).…

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Q: 3. EVALUATE EACH OF THE FOLLOWING: A. 23 X (31-4²) =

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Q: Q5. Find the directional derivative of the function [f(x, y, z) = xy + y.z+z.x] at the point…

A: Given fx, y, z=xy+yz+zx Point P0=1, -1, 2 Equation of the line is x-310=y-211=1-z2

Q: f(4+h)-f(4) h (Express numbers in exact form. Use symbolic notation and fractions where needed.) Let…

A: The function is given by fx = 1x Formula used to find the limit is f'4 = limh→0f4+h-f4h To evaluate:…

Q: Q5/ A: Solve the following differential equation by Laplace : dy - 4y = 16 t =-6, y(0) = 3 dx² dy dx

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Q: If f(x) ƒ'(x) = = Cos = ƒ'(2): = 2 tan , then

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Q: Find an equation of the plane consisting of all points that are equidistant from (4, 0, -2) and (3,…

A: Here is the solution:

Q: Find the arc length of the curve below on the given interval by integrating with respect to x. 3 =…

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Q: Find the solution of the DE y' a. x³ -x-3y-lny³ = 21 b. x³ - 3x - 3y - Iny³ = 21 c. x³ 3x-3y-lny³ =…

A: to find out the correct answer.

Q: Evaluate lim 3sin4xsin2x म cos2x+1 2

A: This question can be solved by the concept of removing the indeterminate forms in limit

Q: Evaluate each of the following expressions using the given table of values. -1 0 -2 1 0 -2 1 0 (b)…

A: Given:  A table of values is given. x -2 -1 0 1 2 f(x) 1 0 -2 1 -1 g(x) 2 1 0 -1 0 To…

Q: A small business can produce a maximum of 54 of its product per month and sell them for $ each. The…

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Q: 2. Use the different differentiation rules and formulas to determine the derivative of the following…

A: Derivative

Q: Y X arb 1.5 Lab Activity In BMX dirt bike racing, jumping high (or "getting air") depends on many…

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Q: = Find two unit vectors orthogonal to both u = (3, -3, - 4) and 7 values (no decimals). Separate the…

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Q: A function is given g(x) = 5/x; x = 1, x = a Determine the net change between the given values of…

A: A function is given gx=5x; x=1, x=aTo determine the net change between the given values of the…

Q: Use the four-step process to find r'(x) and then find r'(1), r'(2), and r'(3). r(x)=8-4x² r'(x) =

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Q: The total cost (in dollars) of manufacturing x auto body frames is C(x) = 70,000 +900x. (A) Find the…

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Q: lim X→ +∞o (√9x² -5x+1 +3x

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Q: lim. sin(t) t =

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Q: dr de r= (7 + sec 0) sin 0 Find dr de ||

A: See this solution in below.

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Q: Determine the solution of the DE-= 0. dt a. z = c + √t b. z = c√t c. z=c-√t C. d. z= c/ e. Cannot be…

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Q: ood to go Evaluate the integrals S√4x²dx 2. S 1 (4+x²)² dx

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