Simplify the expression without using a calculator. log0.00001 =

Q: 1 17. dx .2 + 4x + 5

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A: Given:   Intergral is given

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Q: x In(2 + x³) dx

A: Topic  = Integration

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Q: Evaluate the integral. (Use C for the constant of integration.) x-5 dx

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Q: dy For = 9 + y and y(0) = 4, use Euler's method with h = 0.1 to approximate y(0.6). dx

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Q: consider the following  5^3x+1=3^x-5 a) find the exact solution of the exponential equation in ter...

A: Question: consider the following    5^3x+1=3^x-5   a) find the exact solution of the exponential equ...

Q: = (4 – j3)cos(1+j1.5) %3D

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Q: (-1)"3nx" n² – 5 V. Determine the interval of convergence of > n=1

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Q: 1. Create a Table of Values to find the limit of each function. (Use at least 3 distinct values of x...

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other...

Q: Correct. Use the limit comparison test to determine whether the series converges. 4 5k. + 1 k=1 The ...

A: The given series is summation of 4/(5k+1); k from 1 to infinity.

Q: Find dy/dx by implicit differentiation. 72 – 5y² = 4 dy/dx =|

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Q: ya + yi = 1, when x = 0, y = 4 dy = cos(x + y), when x = 0, y = dx

A: Firstly we arrange the differential equation and after that we separate the variables and integrate....

Q: The weekly cost C, in dollars, for a manufacturer to produce q automobile tires is given by C = 2300...

A: Answer: The solution is as given below:

Q: Differentiate the function. 1 g(x) 6 ,2 6x + 15 !! | g'(x) = %3D

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it d...

A: Topic = Integration

Q: Hew.3 Find dw and Dw when P=ty 9=4if- the de it W =Xy +y2+Zu +uV and x= Pa, y=4 tan P V = P+4+1

A: Given,           w=xy+yz+zu+uv and x=pq , y=qtan-1p , z=lnq-3p , u=q+5p ,           v=p+q+1To find :...

Q: Find dy/dx by implicit differentiation. xby5 = y = x dy/dx

A: Let's find. 

Q: At the start of 2010, an online social group had 360 million members. Subsequently, new members join...

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Q: consider the following.  e^-5x=8 a) find the exact solution of the exponential equation in terms o...

A: topic  -  exponential equation e-5x   =  8taking natural log both sides ln(e-5x  )    =  ln(8)-5x  l...

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not ...

A: In this question we have to find whether the Integral is divergent or convergent.

Q: Consider the function F(x) = X-3sinx Find the indicoled limit 2'Hôpitel's Rulei slete thet it does n...

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Q: Evaluate the indefinite integral. S(4v – v²)² dv , and Show the complete solution and express the fi...

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Q: (x – 2)? (y – 5)? 1 Given the ellipse 16 Find the center point: (2,5) List the major vertices (separ...

A: Given the ellipse x-229+y-5216=1To find the center point.To list the major vertices.  

Q: Find the linearization L(x) of the function at a. f(x) = sin(x), a = %3D %3D 3 L(x) = %3D

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Q: Consider the following. 2 + y- 16 (a) Find two explicit functions by solving the equation for y in t...

A: The objective is to solve the above questions. 

Q: Find the general solution for the differential equation. dy -20xy-5x 0 dx y = D

A: We have to find the general solution for the given differential equation.

Q: Write out the form of the partial fraction decomposition of the function -V2 a3 – a² + a x³ (x – 1)4...

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Q: Consider the function h : N → N given by h(n) = n + (-1)"+'. 1. Is h surjective? 2. Is h injective?

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Q: Part 1 of 2 Suppose f andfare differentiable functions. Suppose f(-8) - 9 and f'(-8) = - 4. %3D Ques...

A: topic - functions and derivatives

Q: y 1.5 2.5 2.5 2.5 2.5 13.68 3.

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Q: A news item is heard on the late news by 8 of the 144 people in a small community. By the end of the...

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Q: III. For each of the following series, determine whether it is convergent or div your answer briefly...

A: We have to consider the given series are convergent or divergent

Q: 1. (Rew Echelon and Reduced Ro w Echelon Form). Which of the folowing matrices are in row echelon (R...

A: Note: A matrix is in row echelon form (RE) if it satisfies the following three properties:1. All non...

Q: x = et – 1, y = e2t a) Eliminate the parameter to find a Cartesian equation of the curve.

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the...

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Q: For the function f(x) =x - 4, construct and simplify the difference quotient f(x+h)-f(x) The differe...

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Q: I- dx et Р5+ 4e»

A: Explanation of the answer is as follows

Q: Find the derivative. 5+ sec q 5- sec q

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Q: There are currently 28 frogs in a (large) pond. The frog population grows exponentially, tripling ev...

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Q: L'Hôpital's Rule does not help with the following limit. The expression keeps on cycling. Find the l...

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Q: Find the slope of the tangent line to the graph at the given point. x3 + y3 - 6xy = 0, (4/3, 8/3) Fo...

A: Given x3+y3-6xy=0 We have to find slope of tangent line at 43,83