x-8 Find the interval of the continuity of the function f(x) = x^e*+ V*- In(x-2)

Q: An aquarium 7 m long, 3 m wide, and 4 m deep is full of water. Find the following: the hydrostatic p...

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Q: Let R be an equivalence relation on A. Find the maximum number of classes R can make if JA| = 80 and...

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Q: (2xy – 3x²) dx + (x² + y) dy = 0 (x? + у) dy %3D 0 -

A: This is a problem related to differential equation. Based on the general formula we will solve the q...

Q: 5. Solve the following Exact/Inexact Differential Equation. If it is inexact, then dy solve it by fi...

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Q: 1. Find the centroid of each of the given plane region bounded by the following curves: y = 10x – x²...

A: We know that; The expression for the centroid is: x=1A∬xdydx & y=1A∬ydydxWhere;Area=A=∬dydx   Gi...

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = -4i + 15j – k v = 4i + j - k O p...

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Q: The masses m; are located at the points P;. Find the center of mass of the system. m1 = 7, m2 = 2, m...

A: Given : The masses mi are located at the point Pi.m1=7   ,m2=2   , m3=9P1=(-8,-8)   , P2=(-9,-8)  , ...

Q: 1- Find the vector P P2 and P2P1 a - P.(3,2,3) , Р.(5,7,-1) b- P1(-2,-1,0), P2(4,-5,2) P1(0,3,3), P2...

A: To find the vector P1P2 & P2P1

Q: 2x e² dx 9 + e4x

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Q: (e*-y- 2x+y³ cosx)dx +(3y²sinx – e*-Y)dy=0; y(0) = (i) Identify the type (ii) Set up the solution st...

A: We will solve the differential equation. 

Q: Let u = (-1,3) and v = (2, -5). %3D Find the component form of the vector 5u – v.

A: This question is based on resolution into vector components.

Q: (d) Find f, the inverse of f. (e) Find the domain and the range of f. (f) Graph f1. 12. f(x) = 4x+1 ...

A: inverse of function domain range

Q: When two pure notes that are close in frequency are played together, their sounds interfere to produ...

A: Given data÷ f1t=cos17t f2t=cos19t ft=f1t+f2t

Q: A circle is growing, its radius increasing by 2 mm per second. Find the rate at which the area is ch...

A: Solve the given for chnage

Q: y sin x – xy = C

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Q: The energy expended by a bird per day, E, depends on the time spent foraging for food per day, F hou...

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Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your result...

A: If two vector are parallel than angle between them zero.

Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 5t, y = 9 –...

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Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 250 cub...

A: Solution ) volume of cylinder = 250 πr2h = 250 h = 250/πr2 Cost = 0.02( 2πrh ) + 0.02 πr2 + 0.06 πr2...

Q: The Taylor series for f(x) = e" at a = -1 is > Cn (x + 1)". n=0 Find the first few coefficients. CO ...

A: Taylor series for f(x) at a  is given by f(x)=f(a)+f'(a)(x-a)1!+f''(a)(x-a)22!+f'''(a)(x-a)33!+f'v(a...

Q: Find the area of the largest rectangle that can be inscribed in the ellipse given by: x² + 4y? = 16

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Q: Find the area of the parallelogram that has u = 2i – j+ 2k and v = 2j + 3k as adjacent sides. NOTE: ...

A: Given u=2i-j+2k v=2j+3k We know that area of parallelogram with adjacent side are u and v is |uxv| T...

Q: Use Lagrange multipliers to solve the following exercise. Find three positive integers x, y, and z t...

A: To use Lagrange multipliers to solve the following exercise.To find three positive integers x, y, an...

Q: f(x) : ²+4x-5 a+5 c = - 5

A: The objective of the question is checking the continuity of the given function at given point.

Q: 3. A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German...

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Q: O Evamate the triple integral メ2 "Sinydy dzdx

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Q: For the geometric sequence, 15 45 135 5, 2' 4 ' 8 What is the common ratio? What is the fifth term? ...

A: The geometric sequence,5, 152, 454, 1358,........

Q: Find the direction angles of the vector. (Round your answers to one decimal place.) u = (-6, 3, 7) a...

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Q: Aus: J 5C -2X

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Q: Evaluate: 1 dx 2(х — 1)? 1 О а. + C 2(х-1) O b. * + C 1 2х + C 1 d. + C 2(х-1)

A: The integration of the integral is 1/[2(x-1)2].

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer alge...

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Q: 2(x- y)(4x + y)dx + x(5x - y)dy = 0

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = (cos(0), sin(0), 7) v = (sin(0),...

A: Option B 

Q: A. Determine whether the graphs of the follow yes if it is. Otherwise, write no. Explain your 1. Lin...

A: 1) Linear function:- Yes; a linear function (f(x)=ax+b, where a,b are real and a≠0) is a polynomial ...

Q: Find a formula for the nth partial sum of the series and use it to find the series' sum if the serie...

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Q: Solve the system of linear equations. (Enter your answers as a comma-separated list. If there is no ...

A: This question can be solved by converting the system of equation in matrix form.

Q: Find u x v, v x u, and v x v. u = 3i + 7k v = 5i + 9j – 3k. (a) u x v (b) V Xu (c) V X V

A: Given query is to find indicated cross product.

Q: Laura borrowed a total of $25,000 from two different banks to start a business. One bank charged int...

A: Total money borrowed=$25000first bank chaged 5% simple interest.second bank charged 6.5% interest.ti...

Q: What is the particular solution for y′=6e^x+x^2−7x such that y(0)=6?

A: Given problem:- y'= 6ex+x2-7x  Particular solution for given differential equation when y(0) =6

Q: xy dx (x² + 3y) dy = 0 -

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Q: he trigonometric function y =2 sinz-) We will fil out the table and plot S points so that we can see...

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Q: If two perfectly rational players play the following zero-sum matrix games, what strategies will the...

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Q: Find the magnitude of v. V = = 4i

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Q: Consider the following. u = (4, -5, 8), v = (-1, -6, 3) (a) Find the projection of u onto v. 25 -150...

A: This is a problem related to vector. Based on the general formula we will solve the question.

Q: 1- Find the vector P,P2 and P2P1 a - P1(3,2,3), P2(5,7,-1) b - P1(-2,-1,0), P2(4,-5,2) C - P1(0,3,3)...

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Q: Consider the function f(x)=1/x+4. Complete the table of values below. x f(x)=1/x+4 -1000...

A: The given function,       fx=1x+4

Q: Find u x v, v × u, and v × v. u = 6i + 8k v = 3i + 8j – 4k. (a) u x V (b) (c)

A: This question is based on cross product.

Q: Find the value of real number if the complex number is 8 + 9j = 0

A: A complex number is a number of the form a + bi, where a and b are real numbers A IS Real part  bi i...

Q: The figure shows the graph of the derivative f' of a function f. Find the critical points of f and d...

A: topic - function and application of derivatives