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Q: Use the definition of the derivative to find f' (x) for f (x) = v2x + 1.

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Q: Calculus Question

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Q: The graph of the derivative f' (x) is given below. On what interval(s) is the function f(x) concave ...

A: When graph of y=f'(x) is decreasing, the function y=f(x) is concave down. When graph of y=f'(x) is i...

Q: Evaluate the integral

A: Integration problem.... 

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A: First find out the radius of convergence. 

Q: 2 If C = |2 -1 0 Show that (C")-1 = (C-')" -2 2 2

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Q: Find the area of the surface that is obtained by rotating the graph of X = 1+Y² (Y = 1 to Y= 2) abou...

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Q: CASE STUDY 2 A local company is planning to manufacture and market a four-slice toaster. For this to...

A: According to T&C of Bartleby, we can answer only first three subparts for more answers please re...

Q: Find the most general antiderivative. 2 4.9 #13 f (x)

A: The general antiderivative of f(x) is F(x)+C, where F is a differentiable function, which means that...

Q: Given f (æ) = (-a3 + 2a² – 5æ + 1)*, find f ' (æ). 5æ + 1)* fr

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

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Q: Find the area of region enclosed by the two curves y = Vx +1 and y = v2 x

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Q: If lim f(x) = 18 and lim g(x) = 23 then lim[2f(x)g(x) – 6 : x→6 x→6 O 36 822 O 834 828 174

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Q: Use the Precise Definition of the Limit (§ – €) to prove: lim, +2 (3x – – 1) = 5. Please include the...

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Q: dy Assuming that y is defined implicitly by the equation x2 - y? = 89, the derivative at (5, 10) is ...

A: To find the value of dy/dx.

Q: The derivative of the function f(x) = 18 is 1 5x 18 5x + 18 18 5x4 + (x) 18 5x4 (교2) 18 5x4 + (23)

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Q: Evaluate V1-3x a.) using change of a variable, and b.) using chain rule for antidifferentation

A: The given integral is Integration of 3x/√(1-3x2)      

Q: Evaluale 15e fonoccing a) Sz^+3x 3

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Q: 1. dx Evaluate 0, et +e-*

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Q: The position of the particle at time t is given by s(t) = t2 – 9t + 8. The particle is rest at t = s...

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Q: Q2: Solve the following differential equations cos y dx + (xsiny - cos'y )dy = 0 cos y )dy = 0

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Q: In each of the following problems (a) state, the null and the alternative hypothesis (b) compute the...

A: please refer to the image below

Q: 1 cosa dxdy COST 0. A.sin1 4 OB. sin2 c. 글sin2 O D. 응sinl

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Q: Given

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Q: Use the first derivative test to find the location of all local extrema for the function given below...

A: f(x) = x33+x2-24x-2 To find the critical points , find the value of x, where f'(x) = 0  f'(x)= 3x23+...

Q: The slope of the line tangent to the graph of f(x) = 12 – 2x2 at the point x = -9

A: We have to take derivative of the given function to find the slop of the line tangent to the graph H...

Q: The slope of the line tangent to the graph of f(x) = 12 – 2x? at the point x = -9 4 9.

A: Solution 

Q: If lim f(x) = 11 and lim g(x) = 23 then lim[2f(x)g(x) – 8] = エー5

A: Using property of limits,

Q: Derive a formula for In x dx where a. nt-1 b. n=-1

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Q: Assuming that y is defined implicitly by the equation a? - y? = 100, the derivative - dy at (2, 19) ...

A: Here I am attaching image so that you understand each and every step.

Q: 1 2y Sketch the graph and shad the bounded region for the given integration [ f(x,y)dx dy 2

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Q: Can you do a handwritten solution?

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Q: The radius of a sphere decreases at the rate of 5 m/s. when the radius is 10m, then the rate of chan...

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Q: Kindly show me the illustration(any possible illustration that may arise in the problem) and the sol...

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: (a) , Find an equation of the sphere that passes through the point (-3,2,-1) and centered at the poi...

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Q: Find the most general antiderivative. 4.9 #9 f (x) = V2

A: Antiderivative of f(x) is integration on both sides. 

Q: The accountant of an agricultural company is asked to make a report about the commodities, and accor...

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Q: The absolute maximum of the function f(x) = 2x2 – 13x + 10 over r[1, 5]. 65 -5 36 105 115

A: Given that: f(x)=2x2-13x+10                                 in   [1, 5]

Q: Please use Exact differential equation method.

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Q: When applying the method of integration by parts to find | x log x dx , which one of the following b...

A: Using Integration of product formula,

Q: CURRENT OBJECTIVE Find the derivative of a natural logarithmic function using properties of logarith...

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Q: If 10,800 cm2 of material is available to make a box with a square base and an open-top, find the la...

A: Answer is mentioned below

Q: 18 The derivative of the function f(x) = x² + is 18 4x3 + (æ³) 18 O 4x³ - (æ²) 18 4x° + (x) 4x + 18 ...

A: d/dx(xn)=nxn-1 Given f(x)=x4+18/x  To find the derivative of f(x) differentiate once 

Q: find the lower and upper estimates please

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Q: Question Find the absolute maximum and absolute minimum of the function f(x) = 2 sin (x) cos (x) ove...

A: sin(2x) = 2 sin(x) cos(x).

Q: Using method of logarithmic differentiation, find the derivative of y = (x³ – 2x)(3r+5) -

A: We need to find the derivative of x3-2x3x+5. So,             x3-2x3x+5' Apply exponent rule:   ab=eb...

Q: I need answer here with solution.

A: As per our guidelines we are supposed to answer one question, kindly repost the remaining question a...

Q: 4. Find dy/dx for y = sinh V4x? + 5 5. [x*Inxdx 6 In(x*+x)-Inx+em* y f Ine(*+1)

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Q: 2) Evaluate: x Inx dx

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Q: dy = -2x3 – 3y2 , y(0) = 4 dx The differential equation given as value at the next point using the r...

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Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.