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Differentiation#31

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Calculus

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Q: dy If y 22 x, then dx 9.7 1. O 22 0. O 5. N O O O OO

A: The given equation is y=22+x.

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they ...

A: The given interval is [-1,1] and the function is,

Q: Use Newton's method to approximate all intersection points of the following pair of curves. Round to...

A: Before we get into the solution of the question, let's understand a bit about Newton's method. If xn...

Q: I need help on how to contruct the definite integral needed to find the area of the geometric shape ...

A: Formula of area of triangle is = (1/2)*b*h, where b=base, h=height

Q: Find the derivative of in two ways: first by applying the product rule and second by expanding the p...

A: Applied product rule and found f'(x).

Q: curves. Find the volume of the solid generated when R is revolved about the x-axis Let R be the regi...

A: Use disk method to find the volume of the solid generated when R is revolved about the x-axis is cal...

Q: Given f(x) = x^3 + 3x - 2 , find y = (f ^-1 (x))' at the point (2,1)

A: Click to see the answer

Q: This is #1

A: Part (a)Consider an object moving along a line with the velocity and initial position.

Q: Answers for 10-12

A: We will solve Q-10

Q: e2h-1 if f'(a) lim-0 what is f(r) and what is a? h

A: Click to see the answer

Q: A three times differentiable function fwith f'(x) 0 has a D-derivative at x given 2 f'"(x) 3(f"(x) D...

A: We’ll answer the first question since the exact one wasn't specified. Please submit a new question s...

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

A: The given integrals are,

Q: Help in #1 please.

A: Given information:The parametric equation is

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: lim x→-4 x2-16/x+4

A: The given function is f(x)= (x2-16)/(x+4)The limit of the function is to be calculated

Q: Determine if y=e2x −x+1 is a solution to y′−2x=−3+2y.

A: The given differential equation is y′−2x=−3+2y.The solution of the deferential equation is given as...

Q: Help me please..

A: The Taylor series for cosx at x=0.

Q: What is the solution to the initial value problem below? y′=5ex +8x3 +x2 +4x y(0)=3 Do not include "...

A: The given differential equation is, y′=5ex +8x3 +x2 +4x.

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: please explain how to solve this

A: (a)We are given graphand we can locate upper and lower curves on different regions

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

A: Consider the given expression:

Q: Suppose that a particle has been shot into the air in such a way that the rate at which its height i...

A: v = 320 - 32tIf h represents the height of the particle at any time t, then:v = dh / dt = 320 - 2t

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: approximate the area under the graph of f(x) and above the x-axis using the left, right, and midpoin...

A: f(x) = 3x + 2 from x=1 to x=3; n = 4dx = Width of each rectangle = (3 - 1) / n = 2 /4 = 0.50

Q: Please help me solve this differential equation and identify P(x), Q(x) and v(x).

A: First we rearrange the equation and find P(x) and Q(x)

Q: Which of the following is the power series representation for f(10x)? O A. B. 10k co (1-(10x*) In k ...

A: The power series representation for f(10x) is,

Q: A drag racer accelerates at a(t) = 84 ft/s^2. Assum v(0) and s(0) = 0.

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentione...

Q: Suppose you are standing in a field near a straight section of railroad tracks just as the locomotiv...

A: As a first step, let's convert the given information in a diagram. Please see the white board.Let A ...

Q: Please help. Find the values of x for which the given geometric series converges. Also, find the sum...

A: (a)Consider the given geometric series:

Q: Help with #7

A: Given information:The equation of the curve is

Q: Determine if y=e−x+8x−9 is a solution to the initial value problem given by y′+1=8x−y and y(0)=−8.

A: The given differential equation is y′+1=8x−y.The solution of the deferential equation is given as, y...

Q: Find the derivative of y with respect to x.

A: Given:The function

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: I need help for this.

A: Let S be the sum of the series we have to find. Hence, S will be as shown on the white board.

Q: For the following function f, find the antiderivative F that satisfies the given condition. F(v) =

A: First, we find the general solution using integration.

Q: Optimization Problem A rectangle is constructed with its base on the diameter of a semicircle with r...

A: a)Let x and y be the base and height of the rectangle, respectively.Given that, the rectangle is con...

Q: The funciton f in the figure satisfies the lim f(x)=5 as x approaches 4. Determine the maximum valu...

A: (A) From the inequality |f(x)-5|<1 , we\'ll find range of f(x) first.

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

A: Click to see the answer

Q: The rectangular coordinates of a point are given. Find polar coordinates of the point. Express 0 in ...

A: Let the polar coordinates of given point are ( rcos(thita), rsin(thita)) as shown on board.By compar...

Q: Write the iterated integral for a sphere centered at (0,0,0) with a radius of 2. Use the order dz dx...

A: From the given the sphere equation is x2+y2+z2=22.

Q: If f(x) 3x-2then f(x) = x 2x+ 2x5/3 2x 2x-1 12 1+5x8/3 3x2 2x-53-3x-3/2 x2 none of the above

A: The given function is,

Q: Find the function which solves the initial value problem dy/dx= 3ex −2x; y(0)=−1.

A: Given that dy/dx = 3ex-2x; y(0) = 1.dy = (3ex-2x)dx (By cross multiplying)Integrate on ...

Q: SImplify (h3-4h)/(h3-2h2)

A: Simplify the given expression as follows.

Q: find the derivative of f(x)= 2x^3 + 4e^3

A: Given information:The given function is

Q: 1000 Find the marginal cost when q = 10. 9 The average coste for producing q units of a product is g...

A: The average cost c is given by ,

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

A: The given functions are,

Q: I know it’s u-sub, but I forgot how...

A: Given information:The given integral is

Q: Please help. Does the series below converge or diverge? Give a reason for your answer. (When checkin...

A: The given series is

Q: How can I do this? Which is the result?

A: Given:The function is