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Q: (2x-3)4 dx 10

A: Given:The integral is

Q: Answers for 10-12

A: We will solve Q-10

Q: 8xy′+4(ln x)y)(4) +5x3 y′=−6x4 y−9xy″ What is the order of the differential equation shown above?

A: The given differential equation is, 8xy′ +4(lnx)y4 +5x3y′ = -6x4y - 9xy″.The order of the highest d...

Q: 11

A: Obtain the magnitude value of u as follows.

Q: 1) if a•b = a•c and a ≠ 0 does b = cExplain 2) axb = axc and a ≠ 0 does b = cExplain

A: (i)Consider a.b = a.cSince a ≠ 0, dividing both the sides by a, (ii)Consider axb = axcSince a ≠ 0, d...

Q: If given the differential equation y''-4y'+4y=et, is there a way to solve it for possible solutions?...

A: we are given a differential equation as

Q: Explain in your own words how to find the volume using the disk method. Include on example in your ...

A: Suppose that any solid of revolution with disc cross-section.In order to find the volume of these ty...

Q: Part d and e

A: (D) When the enclosed region revolve about x=2 line then the radius is on the line joining (2,0) and...

Q: 2x 1 dx 3 (2x-1+C 6 C 2 x2-x C 3x

A: Given:The integral is

Q: Use the derivative f'(x) = (x - 3)(x + 4)(x + 4) to determine the maxima and minima of f and the int...

A: f will be increasing if f'(x)>0. From the graph of f'(x) we see f'(x)>0 when x>3 [because a...

Q: y′+9x=4+7y Is y=e7x −5x+4 a solution to the differential equation shown above?

A: We have to find y is a s olution of this differential equation or not.y and differential equation i...

Q: (3x2+5)8x-92 fy(1x4 + x2 logarithmic differentiation gives y (32+5)(8r-92 1x44+x2 16 2x 3x2+5 6-x9 6...

A: We have to find derivative using lograthmic differentiation .Question is given below:

Q: For each of the following integrals, indicate whether integration by substitution or integration by ...

A: Known fact:Integration by parts:When an integral contains the product of two functions, then integra...

Q: Differentiate xy^2+tan(y^3)=10y

A: Consider the given expression:

Q: y′−y=2x+5 y(0)=−6 Given the initial value problem above, determine if y=ex −2x−7 is a solution.

A: The given differential equation is y′−y=2x+5.The solution of the deferential equation is given as, y...

Q: How do I choose my g(u,v) and h(u,v)?

A: The double integral is given by,

Q: (x4x2.3) dx = O 5x5-33+3x+ C 4x3 -2x +C 3 3x C 3 4x3 - 2x C (x4-x2+3)2 C

A: Click to see the answer

Q: During the first four months of employment, the monthly sales S (in thousands of dollars) for a new ...

A: Part (a)S= S(x)= 9 / x + 10 + x / 4, x ≥ 4The given function is defined only for x ≥ 4. We don't hav...

Q: Find the average value of the function over the region R. Please refer to picture.

A: The given function is f(x,y)=e-y in the interval x belongs to [0,8] and y belongs to [0,ln2]

Q: Find the area of the region described. -4x and xIn 3 The region bounded by y e. ye X The area of the...

A: We first draw a rough sketch of y=e^x, y=e^-4x and x=ln 3And find the region bounded by them.

Q: Suppose that the rate at which the concentration of a drug in the blood changes with respect to time...

A: Given:The rate of change of concentration of a drug in blood with respect to time t is

Q: Please help me about this.

A: The radius of convergence is 4 which can be computed as follows.

Q: Let H(x)=4f(x) + 5g(x), where the graphs of f and g are shown in the figure. Find H`(1).

A: Firstly, we find the function y=f(x) , which is linear function , as it is a equation of straight ...

Q: Find the point P on the line y = 5x that is closest to the point (52,0). What is the least distance...

A: Given:The equation of the line is y = 5x.(52,0) is the closest point to the point P which line on th...

Q: Help me please

A: The general Taylor series for sin x at x = 0 is as follows.

Q: Please help!

A: Recall the quotient rule for derivative:

Q: How can I get the result? Which is the result?

A: a)Analytically complete six rows of a table as below.

Q: Find a formula for the general term an (not the partial sum) of the infinite series (starting with a...

A: Given infinite series is,

Q: Consider the following velocity function. Complete the sentence: The same distance could have been t...

A: The given velocity function is,

Q: How can I get the result? Which is the result?

A: Use online graphing calculator to graph of the function.

Q: Determine the radius of convergence of the following power series. Then test the endpoints to determ...

A: The power series is given as

Q: please show ALL your steps

A: we are given a function

Q: 150 100 50 20 40 60 3. Suppose that a population develops according to the logistic equation (c) Use...

A: Given that a population develops according to the logistic equation

Q: The rectangular coordinates of a point are given. Find polar coordinates of the point such that r 0 ...

A: We'll use the rectangular coordinate to the polar coordinate formula with x=-5 and y=5

Q: Analysis of daily output of a factory shows that, on average, the number of units per hour y produce...

A: Part (a)The critical values will be where dy/dt = 0. Please see the white board.

Q: Find f'(x) for f(x)=tan^3x+tan(x^3)

A: The function is given by,

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer.

A: The given series is

Q: how do i get number 3

A: Expanded the expression of f(x) first then used the exponent rule to find the derivatives.

Q: Which is the result?

A: The given function is,

Q: Help with #5

A: Given curve: r(t) = (2cost)i + (2sint)j + tkRecall the expressions for unit tanget and principal uni...

Q: skecth the graph a) f(x)=(x-2)2(x+3) b)f(x) = x2-1/x c)f(x) = 2x/x2-1 d)f(x) = -23 + 7x2 - 2x...

A: To sketch the graph of given function :

Q: The following integral is The integral of g(x)dx from 7 to 2

A: The given integrals are,

Q: Need solution to 4).d. thanks

A: (d)The limit is a point, where the function approaches the input.The limit value of the given expres...

Q: if logx y = z, which variable(s) must always be positive

A: logxy = zWith respect to logarithm:The base of a logarithm should always be positive and not equal t...

Q: find the volume aquired by taking by region bound by y=x^2 and y=x^4 and rotating it around x=-1

A: To calculate the volume bounded by the curve y=x2 and y=x4 which is rotating about the line x=-1. No...

Q: Please help me find the length of the curve

A: We\'ll use arc length formula with a=pi/2, b=2pi/3.

Q: e) 1-5x - 31 8 nD 14-0.5x| 2 8 nos AR ) D6). C-17.3.), B(0,7.51 bo g) 4>-3x - 51 9-th onanibuoos-X 3...

A: You have asked a series of independent questions. I will address the first three parts. Please post ...

Q: A function and its first and second derivatives are given. Use these to find the relative maxima, re...

A: In this question, we have function, its first derivative and second derivative using that we have to...

Q: Given f(x) = x^5 + x^3 - 4 , find the derivative of f inverse at the point (-2,1).

A: We are given a function as

Q: How do I solve the initial value problem using P(x), Q(x) and v(x)?

A: First we find P(t) and Q(t) by comparing with y\'+P(t)y=Q(t).