(a) Find a power series representation for the following function. (Give f(x) = In(8- z) f(x) = In 8

Q: Find the Maclaurin series of each of the following functions by using one of the series listed in th...

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Q: a Let A = b be 2 x 2 matrix such that d 3A' +2 Find A. 1

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Q: Find the centroid of each of the given plane region bounded by the following curves: y = x³,y = 4x [...

A: follow the procedure given below.

Q: USing Inverse DiPfecren tial ofera tor to find Particular Solution of 9 -4Y = Cosh (2x -1) + 3 %3D

A: Based on the general formula of particular integral we will solve the question.

Q: 3 Reverse the or der of intagration and do not evaluate. xp hp 0, 3.3 Show the region.

A: To reverse the order of integration and do not evaluate.∫01∫x11y3+8 dy dx  

Q: Find the general solution to the differential equation y"+5y" + 6y' + 2y = 0. %3D Hint: Look for a r...

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Q: 6. Exponential Functions 7. Logarithmic Functions 8. Absolute Value Functions 9. (Basic) Sine functi...

A: 6. Exponential functions are always continuous because they are always differentiable and continuity...

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Q: rite the equation for a sphere centered at the point (5, 6, 3) and the point (- 6, 0, 2) is on the s...

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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: explain to me details what is Distinguish Between Partial Derivative and Ordinary Derivative ?

A: Given

Q: Activity 1. Slope of the Tangent The rate of change at any point on a function is the slope of the t...

A: We want to find rate of change of the function at the given point. 

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

A: Topic = Geometry

Q: Use the shell method to write and evaluate the integral that gives the volume of the solid generated...

A: Find your answer below 

Q: Activity 3 Find Your Rate at this Moment Directions: Differentiate the following functions and deter...

A: "Since you have asked multiple questions, we will solve the 1st question for you. If you want any sp...

Q: x 3 For the function f(x)= 3 27 ·x+39 2 - 4 What is the range of value over which the function is de...

A: The given function is: f(x)=x33-34x2-272x+39⇒f'(x)=x2-32x-272&f''(x)=2x-32

Q: Find the derivative of the function. F(0) = arcsin Vsin(30) F'(8) =

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Q: Part a For which vale ut is the following always bue sint+ ) Select the comet antwe

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Q: ) The natural length of a spring is 8 inches. A force of 20 lb stretches the spring to 10 in. Find t...

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Q: Distinguish Between Partial Derivative and Ordinary Derivative ?

A: ## Distinguish  Between Partial Derivative and Ordinary Derivative....

Q: Problem 3: The points (-1,3) and (0,2) are on a curve, and at any point (x,y) on the curve = 2 - 4x....

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Q: The value of the integral T/2 sin x dx cos(x)e- sin Jo is: Оа. 1-е-1 O a. O b. e- sin 1 O C. С. cos ...

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

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Q: Express the integral in terms of the variable u, but do not evaluate it. e13 In x dx; u = ln x e10 r...

A: Fill the blanks

Q: Consider the sequence n cos(nt) 2n – 1 An - Write the first five terms of an, and find limn→∞ an. If...

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Q: x 9x x-3 f(x)=9x/x-3 -100000       -10000       -1000       1000       10000       100000         b...

A:

Q: | (r – 1)³ + 1, if x 2 1. Determine if g(x) = is differentiable at x = 2.

A: Checking continuity:=limx→2- g(x)=limx→2- (x-1)3+1  limx→2- g(x) =2Right hand side limit=limx→2+ g(x...

Q: show thad the diff. equ is hamageneaus and Salve it

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Q: dy Find a continuous function function y on (-0,00) satisfying -6/7 = 9x dx and y(-1)= -4. dy -6/7 T...

A: Given query is to solve the differential equation.

Q: (a) Find p3(x), the third order Taylor polynomial of f(x) = Vĩ centered at x = 1. %3D (b) Use p3(x) ...

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Q: During the hurricane, a brick breaks loose from the top of a chimney, 38 feet above the ground. As t...

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Q: s dx 2

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Q: x + 2 1. If f(x) = and g(x) = 2x + 5, find: x- 2 (a) fog and state its domain (b) (g•f)(-2) (c) (f•g...

A: To find out fog(x) 

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: For f(x) in the figure below, find the x-values of the global maximum and global minimum on the doma...

A: Global maximum: A global maximum point refers to a point x=c with the largest y-value on the graph o...

Q: Verify that fy =f for the following function. %3D f(x.y) =*y+5

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Q: Use the incomplete partial fraction method to solve the following differential equations. Y” – 4y’ ...

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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 function s(t) satisfying = -2-3 cost dt and s(0) = 6. ds = -2-3 cos t dt and s(0) = 6 is s(...

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Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

A: Given,           u=-94i+12jTo find : Find two vectors in opposite directions that are orthogonal to ...

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: 2 Pat needs to determine the height of a tree before cuting it down to be sure that it wil not fall ...

A: Let h be the height of tree.

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

A: Explained below 

Q: 4. y? + 2xy = 4, find y"

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: 14 Find [3f(x) – g(x)]dx if 14 14 | f(x)dx = 3 and g(x)dx = 9.

A: Topic = Integration

Q: In the given first-order differential equation below, (ху?- х)аx- (x?у+y)dy-D0; y(1) -2 (i) Identify...

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Q: The solution of the boundary value problem (D² + 52)y = 0, given that y(0) = 0 and y() = 1 %3D 10 O ...

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Q: Find w such that 2u + v- 3w = 0. %3D u = (0, 5, 7, 2), v = (-3, 4, -8, 1) W =

A: vector

Q: sin (4) tan z 2. Find the derivative of f(r) = using logarithmic differentiation.

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Q: 183. The output of the show frame-relay pvc command shows "PVC STATUS = INACTIVE". What does this me...

A: The command PVC STATUS provides the status of the PVC.