find the particular solution to y’’ + 5y’ − 6y  =  6t + 7

Q: P = (3,7, 3) Q=(9,1,8) Find M, the midpoint of PQ: %3D

A: P=3, 7, 3Q=9, 1, 8To find M, the midpoint of PQ.M=?  

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A: The objective of the question is evaluate the indefinite integrals.

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A: We need to find parametric and symmetric equation.

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

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A: We can check whether the two vectors are parallel, orthogonal or neither by definition as below.

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A: Given interval : [ 0 , 4 ]  subinterval with width of 1  ( 0 , 1 ) , ( 1 , 2 ) , ( 2 , 3 ) , ( 3 , 4...

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

A: The line passes through;(x0, y0, z0)=(-1, 4, -6)parallel to direction vector:v=a, b, c= 2, -1, 0a=2,...

Q: Using Newton's divided difference formula, find the missing value from the table: 14 15

A: Solution of question is written in below steps.

Q: 6. f(16) = 63. VX Find f such that f'(x) = %3D %3D

A: Topic = Integration

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Q: 1-tanx 1. If f(x) = then find f'(-). 1+tanx

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Q: Closure: A ship's captain sets a course due west at 20 miles per hour. The water is moving at 7 mile...

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Q: Directions: Evaluate the following limits. 3. lim ) 4. lim ) x-1 x2 X+4

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Q: Directions: Evaluate the following limits. 1. lim(In (2x – 9)) 2. lim (tan-)

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Q: 4 For the function J (*) the tangent at point A has equation Y = 2a +7. The coordinates of point A a...

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Q: Sketch the region bounded by the given curves, then find the centroid of its area. 1. y = 12 – 3x2 ,...

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Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0), (4...

A: [ x-0  y-0  z-0] [4-0  0-0  4-0]      = 0 [-1-0  -1-0  8-0] [x  y  z] [4  0  4]      = 0 [-1  -1  8]...

Q: Sketch the region bounded by the given curves, then find the centroid of its area. 1. y = 12 – 3x2 ,...

A: Centroid of the region :            x = 1A∫ab fx-gx dx  and  y = 1A∫ab 12fx2 - gx2 dx               ...

Q: y" + 2y' + y = 7 + 75 sin 2x

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Q: 15–18 Find the angle between the vectors. (First find an exact expression and then approximate to th...

A: 18) Given,  a=i→+2j→-2k→b=4i→-3k→ cosθ=a→.b→a→b→ a→.b→=i→+2j→-2k→.4i→-3k→      =4+0+6a→.b→=10 a→=12+...

Q: Problem : Find the derivative of the series 32z5 + 4! 2x 4x? 16x4 f(x)=1+ 1! + Also show that 2! 3! ...

A: To find the derivative of the series fx=1+2x1!+4x22!+8x33!+16x44!+32x55!+...Also to show that f'x=2 ...

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A: To find : A polynomial of degree n that has the given zero. Given information: Zero: x=9, Degree: n=...

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

Q: cos 4x 2 dx sin4x 5.

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Q: Evaluate: Jx?cos(2x)dx 2x2sin(2x) + 2xcos(2x) + sin(2x) A + C 4 2x2sin(2x) – 2xcos(2x) + sin(2x) В +...

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Q: 3. Ranie makes monthly deposits at Php1,500.00 into his savings account that earns interest at 1.5% ...

A: Find your answer below 

Q: Give two Partial Variation example problems and their solutions.

A: It is required to give  two Partial Variation example problems and their solutions. It is known that...

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Q: Q2 correct answer

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Q: Evaluate the following indefinite integral. 1+ 4t° -dt 11t

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Q: Given the function f(x) = 2x³ – 11.7x² + 17.7x – 5, find one root using the following methods below....

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any s...

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Q: Finding the Domain and Range of a Function: f (x) = Vx - 3x + 2 Domain: all x# ±2 Domain: all x# ±3 ...

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Q: Consider the following graph. y 5 -3 -2 -1 3 -5 -10 Identify the parent function represented by the ...

A: Given problem:-

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A: