Find the scalar equation of the plane that contains these points: A (1, 13, 2), B (-2, -6, 5) and C (-1, -1, -3).

Q: %VIII. १:०. By using the differential operator D and it's inverse, solve this equation: y"+y=sin(x)…

A: The given equation is;  y''+y'=sinx.

Q: Below is the graph of y= log₂ x. Translate it to become the graph of y= log₂ (x+2)+4. X -6 -4 -2 2 ?

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A: Since the student has posted multiple questions and does not mention any specific question, so we…

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Q: Find the average value over the given interval. f(x)=x²+x-7; [0,14] The average value of f(x) = x² +…

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Q: Use long division to divide. (Simplify your answer completely.) (8x237x - 15) + (x - 5) X = 5

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Q: 2 4. Find the length of arc of the curve x3 + y3 = 1 in the first quadrant from the point where x =…

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Q: Q2. Find the angle between the vectors and .

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Q: 6. If q p² p³ - 1 9² p2 µ³ – 1 1 = 0, show that pqr = 1. - 22

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Q: Explain why the integral is improper. 49 1 1²0 √/x dx X 1.6 1.4- 1.2

A: Given improper integral I=∫049    1x   dx

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Q: If ā= 3x - 5y and b = -2x+9ỹ, write the vector 5ã-85 in terms of x and y

A: Given vector are a→=3x→-5y→   and b→=-2x→+9y→. We have to find the vector 5a→-8b→. Now, 5a→=53x→-5y→…

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Q: The plane with equation = (6,-2,3)+a(1,3,0) + b(2,2,-1) intersects the y- and z- axes at the points…

A: Vector equation of line is r'→=a→+αb→-a→where, a→ is the position vector of the point A.…

Q: 4. At x = 4, the function f(x) = (x², x ≤ 4 (4x, x>4 A. continuous but not differentiable B.…

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Q: ) Find (dy/dx) for: tan-¹(x² + y) - eln(x³y) = 5sinh(y)

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Q: 1. Determine the point of intersection between the line, L: x = 3+t, y=4-5t, z=1-7t, te R, and the…

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Q: Q2// Find the resulting volume of the curve y = sin x cos x rotation about the x-axis if x=0, x=/?

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Q: дуту (x) 415 = к+к ht

A: We need to solve D.E.

Q: Q5. Check whether the given points A (1, 2, 3), B (3, -1, 4) and C (-2, 3, -4) are collinear.

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Q: A differentiable function g(x) has only one local maxima at x = 1. It is also known that g" (1) 0…

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Q: Determine the value of f(-3) for the function f(x) 00 O Undefined 3 B O 15 O x³ +18x²+104x + 192 for…

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

Q: sin x = x (1 + tan y). Find and provide solution for dx/dy

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Q: Using Gauss Jordon elimination, determine the intersection, if any of the following sets of planes…

A: We have to use Gauss Jordan elimination

Q: Q1: solve the equations below: 1) S dx Jellt vast (1+

A: Given, ∫1x(1+x)2dx

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Q: 1) The Arc Length of the curve f(x) = coshx, 0≤x≤ In3 is: d. 312 12 3 C. b. 2²/2 0.33 lorod by…

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Q: Explain why the integral is improper. 49 1 1²0 √/x dx 1.6 1.4 1.2 Y 08 0.6 0.4 0.2 10 20 X At least…

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Q: Verify Property 2 of the definition of a probability density function over the given interval. f(x)…

A: Given problem:- Verify Property 2 of the definition of a probability density function over the given…

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Q: What rule should be used in deriving f(x) = x³? A. Constant rule B. Sum rule Find dy/dx y=e³x A. e³x…

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: 1 2. Find the length of arc of the curve x = + from the point where y = 1 to the point where y = 2.…

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Q: The population of a community is known to increase at a rate proportional to the number of people…

A: Given problem:- The population of a community is known to increase at a rate proportional to the…

Q: Q8. Find all the first and second order partial derivatives of the function f(x, y) = x sin y + y…

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Q: Determine whether the statement is true or false. If it is true, explain why it is true. If it is…

A: Here we have to choose the correct option.

Q: For #s 7-8. Choose from the given options the slope of the curve at the given point. 7. y = x² +…

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Q: 1. Find the length of arc of the curve y = () from the point where x = to the point where x = 2.

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Q: Q1. Find the distance between the points A (-1, 3, 7) and B (2, -1, 6). Q2. Find the angle between…

A: Here are the solutions:

Q: hand written plz 6. Find the general solution of the PDE. The solution u is a function of x and y.…

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Q: 1. If x=11, 23and |-= 30; calculate +

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Q: c) e³x 2x+1 d) y=cos² (x³ + ²)

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Q: @ es the following uation sutisfied Cauchy. W w = Z² Rieman. s equation

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Q: ) Find (dy/dx) for: tan-¹(x² + y) - eln(x³y) = 5sinh(y)

A: We need to find dy/dx.

Q: T 3. Find the length of arc of the curve y = ln(secx) from x = 0 to x = 4

A: