Given the piecewise function defined below, determine the value of f (x)dx in simplest form. -6x² + 5 for x < 0 f (x) = 6x2 – 4 for x > 0 -

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Q: 8. DETAILS LARAPCALC10 3.3.062.EP. Consider the following function, where R is the revenue (in thous...

A: Use diminishing concept

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A: topic - differential equation

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A: Use graph

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A: Given problem:-

Q: 15) o veclovs ú = Givetw and Tñ=211 deternine the projection d on 2.

A: This question can be solved using the projection formula.

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Q: Given the function Y(s) = Use the Laplace Transform table to convert this function into f(t). f(t) Y...

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A: Select a normal vector and a point then write the equation of the plane. 

Q: Determine if the following functions are continuous on the interval I. (i) f(x) = -x. (0, 1) I 2 x-x

A: Check the numerator and denomination in the given interval to decide the function. 

Q: Question 2 5x limr→-0 g² + 10x – 1 c→-∞

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Q: Let f(x, y) = x² + xsin(y). %3D

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two po...

A: We have to find equation of line in symmetric and parametric form.

Q: Find dy/dx at the point (0,1) using implicit differentiation given that xy + e y = e.

A: First we find dy/dx then put x=0 and y=1

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Q: Find the angle e between the vectors in radians and in degrees. u = 9i + 7j + k v = 7i - 9j (a) radi...

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Q: 4) fG) = (2x+ 1)9 %3D

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Q: +/t%edt 1. 2. Se-x/2dx 3. 3*e*dx

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Q: 1) Linearize: 3x arourd 天=l %3D

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Q: Use induction to prove: for any integer n 2 0, 2. 3 = 3"+1 - 1. %3D j=0 Base case 2.3 = j= n = , 3n+...

A: for any integer n≥0,∑j=0n2. 3j=3n+1-1

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A: Given query is to find indicated angle.

Q: olve for the derivative of the function using chain rule.  2. f(x)=4√ -3x4-2

A: 2)

Q: Given the piecewise function defined below, determine the value of f(x)da in simplest form. -2x 3 fo...

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Q: Find the coordinates of a point P on the line and a vector v parallel to the x - 7 y + 9 = z + 4 Р(x...

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Q: 13. f (x) = sinx3 (2х-1)2

A: I have stated the used formulas in the solution

Q: Let f be a function such that af (4x + 3) da = 2. Write an equation that can be inferred involving t...

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Q: (b) symmetric equations 4- X z + 2 = y = 22 15 4 - x - Y + 5 22 27 z + 2 !! 15 X-4 y-5 20 27 15 z + ...

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Q: > Next question 3 Get a similar question You can retry this question below Let y = 5x + 2x +3. If Az...

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Q: Determine whether the planes are parallel, orthogonal, or neither. 3x - 15y – 3z = 7 4x 20y – 4z = -...

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Q: Determine the average value of the piecewise function f defined below on the interval x = 0 to x = 3...

A: This question can be solved using the concept of definite integral.

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: Find the angle 0 between the vectors in radians and in degrees. (Round your answer for part (a) to t...

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Q: 12 A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y What...

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Q: dx Vx? + 2x + 5

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Q: Find the gradient of the function at the given point. g(x, y) = 18xe"/x, (3, 0) Vg(3, 0) =

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Q: Given vector u (2, 5) and v (1, –3), determine the value of u component form.

A: Given query is to find the indicated vector.