Find the linear approximation for f(x) Answer L(x) = -x+2/ = cos x at x =3/2

Q: 5x² + 3xy = 3y², find the derivative dy da. as a function of x and y.

A: Consider the equation

Q: Both verbally and in written form, find and explain the domain and range of y = x^2 + 1?

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Q: Let f(x, y) vector (-1,-1) is 8 Then Vf= and Duf(-2,-4) in the direction of the

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Q: If f(x) = arctan(x), then what is the value of f' (1) in simplest form?

A: The function is Here the aim is to find the value of

Q: Find H′(x) for the given function.   ​H(x)=

A: The objective of this question is to find the derivative of the function H(x) = 7√x + 3. The…

Q: List the points in the graph in the interval -2<x<8 at which the function is not differentiable. 10…

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Q: Calculate L4 and R4 over [0, 5] for the function f(x) = 6x^2

A: Given function To find:The integral  is approximated using

Q: 13. It is calculated that the value of a financial share three months after going on the market is…

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Q: Consider the following quadratic equation: (x-1)²-13=3 Find the solutions to this equation by…

A: Solution-

Q: Estimate the slope of the tangent line at the point indicated using the tables below. Write the…

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Q: 5. A object moves along a straight line so that its position is given by s(t) = t4 - 4t3 + 6t² - 20.…

A: A object moves along a straight line so that its position is given by

Q: Evaluate f(x + 3) when f(x) (Be sure to simplify your answer) = -4x² + 5x - 2

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Q: I sinx cos³x dx Select one: O a. O b. O c. O d. O e. - - sin³x 3 cos³x 3 sin³x 3 cos³x 2 cos³x 3 +C…

A: The integral expression is Here the aim is to integrate so, use the method of substitution let…

Q: Given f(x) = arccos(x³), find f'(x) in simplest form

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Q: Example 7 a) A population grows by 2.5% each month. By what percent will the population increase in…

A: Need to find out the percentage by which the population will increase in one year."Note that as per…

Q: Determine whether the given function is continuous. You can verify your conclusions by graphing the…

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Q: Change to base 3 and simplify. 1 log29 1 log89 + 1 log83

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Q: 1. For the function f(x) = (x^2) - 36, evaluate f(x+h) 2. For the function f(x) = 6x^2, evaluate…

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Q: Use partial fractions to find f Select one: O a. S 0b. f = O c. x²+x+3 x + 6x² +9 O e. x²+x+3 x²+6x²…

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Q: p(x): =

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Q: True or False. The DE below is homogeneous y""+y"+y' + y + 1 = 0 O True O False

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Q: Question content area top Part 1 Find an equation of the tangent line to the graph of y equals…

A: The objective of this question is to find the equation of the tangent line to the graph of the…

Q: ​b) Complete the following table.

A: The objective of the question is to find the simplified form of the difference quotient for the…

Q: Find b so that the points (3,-4), (4, −6), and (b, —2) lie on a line. b =

A: Let suppose three points are If the above three points are on a same line then

Q: The table below gives the population of a town (in thousands) from 2000 to 2008. What was the…

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Q: Find the indefinite integral. √1+3t dr Select one: O a. (31-2)√3t+1 9 O C. O b. 2(3-2)√√3t+1 +C 27…

A: Given Integral is as follows

Q: 13.A population numbers 11,000 organisms initially and grows by 8.5% each year. Write an exponential…

A: A population numbers 11,000 organisms initially and grows by 8.5% each year. To write an exponential…

Q: The quantity demanded of a certain model of a VCR is 8000 units when the unit price is $260. As the…

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Q: Find g′​(t) for the function ​g(t)=8/t3.

A: The objective of the question is to find the derivative of the function g(t) = 8/t^3.

Q: 2x³+4x² = 6x

A: 2x3+4x2=6x

Q: F(x) = {e^ X-3 OLX Find lim F(x) x 70 im f(x) x 70

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Q: Find the angle between the planes x-z =1 and y+2z = 3.

A: The objective of this question is to find the angle between two planes given by the equations x - z…

Q: ? Exercise 4.2.4 For y=ez², find dy. Hint dy = f'(x) dx Answer dy=2re dr

A: Given,

Q: Consider the following linear equation in fractional form: 5x 4x - 1 4 2 x+1+

A: x+1+5x4=4x−12

Q: Differentiate the function. f(x) = (6x² - 2x + 1) (4x² + 3x − Which of the following shows how to…

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Q: Write an expression for the distance w in terms of y. +2x²-2 y=4 W 1 -3 -2 3 3 N → O 2

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Q: Find a pair of numbers whose sum and product are both equal to 32. (Use symbolic notation and…

A: A pair of numbers whose sum and product are both equal to 32.

Q: Evaluate the derivative at the given value of x.

A: The objective of this question is to find the derivative of the function y = 4√(x³) - 5√x at x = 16.

Q: 2xy-6x-5y + 15 =

A: P=2xy−6x−5y+15

Q: help me with b and c too please

A: The given equatons are b) c)

Q: Find the integral using integration by parts. fx lnx dx Select one: ○a. Sxinx dx = x²(8inx-x)+C 64…

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Q: Complete the square and find the minimum or maximum value of the quadratic function y = x² 18x + 88.…

A: Given Quadratic Equation is as follows

Q: The median weight of a boy whose age is between 0 and 36 months can be approximated by the function…

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Q: Let U = {0,1,2,3,4,5,6,7,8,9,10}; A down the elements in the following sets. (a) AUB (b) BUC (c) BC…

A: Let .To write the down the elements  in the following sets.Note: Since, the student has posted a…

Q: Use integration tables to find f Select one: O a. O b. O c. O d. O e. ± 81x²-49 81x 81x² +49 49x…

A: By using the integration tables to find the following integral.

Q: The relationship between the number of pencil sharpeners a company can sell each week and the price…

A: The relationship between the number of pencil sharpeners x a companycan sell each week and the price…

Q: 1124 + 195812 +1592114

A: To find:-

Q: Which of the lines in the following graph appear to be tangent lines? Why or why not? Q LA [x^^^ L6…

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Q: A flower store stocks three kinds of flowers: lillies, roses, and carnations. The lilies cost 0.4…

A: Let x be the number of lillies.Let y be the number of roses.Let z be the number of carnations.

Q: The table below gives data on three movies. Gross earnings is the amount of money the movie brings…

A: MovieRelease dateBudgetGross…