Calculate af Әх af ду af ?х af ду af af af ах ду' Әх -f (1, f(x, y) = ex + y (1, -1) (1, -1) = = = = -1) пог : and. af ду (1, -1) when defined. (If an answer is undefined, enter UNDEFINED.)

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A: The given equation of the function  over the interval

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Q: Determine the integral by making the appropriate substitution. 1 2 x In 3x dx ⠀⠀

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Q: y = ln=+e√x X

A: The given equation

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A: The objective of the question is to understand the effect of increasing the number of carpenters and…

Q: 35. a(t) 36 g(t) = cos 2t; v(0) = 5; s(0) = 7 2t

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Q: For which value(s) of x does f(x) = 6x + 11 have a tangent line of slope -2? If there is more than…

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Q: Draw the region whose area is given by the definite integral. | 16-2 (6-2x)dx

A: I=∫03(6−2x)dx

Q: Rewrite the integral using polar coordinates. Do not evaluate the integral. √√2-x² *(1-x³² − y²)²…

A: The given integral is

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A: we are given tbw function and intervals, we need to find the absolute maximum abd absolute minimum.

Q: Find two numbers whose sum is 9 and whose product is a maximum. The two numbers are (Simplify your…

A: The objective of this question is to find two numbers whose sum is 9 and whose product is a maximum.…

Q: -10-9-8- -1⁰+ Given the graph of f(x) shown above, evaluate lim f(x). Select the correct answer…

A: The condition of the existence of limit at

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A: To find values of given definite integrals.

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Q: a) dy dx dy b) = dx dy dx c) = x² + e10x = yx³ In(x) ey

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Q: For Questions 1 and 2, region R is bounded by f(y)=y²-14 and g(y) = 2y + 1. Which of the following…

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Q: Build the tangent line approximation (linear approximation) to 6 -5 0 2 3 4 5 6 7 8 9 10 11 12 f(x)…

A: To build the tangent line approximation (linear approximation) to .

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Q: Find the value or values of c that satisfy the equation the given function and interval. f(x) = 7x +…

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Q: Find the angle between the vectors. u=3i-j, v = -2i+5j+2k The angle between the vectors is 0 (Round…

A: u=3i-jv=-2i+5j+2k

Q: To find an antiderivative of f(x) = arctan(3x) you used integration by parts, and obtained…

A: The integration by part formula is:                             ..(1)

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A: The temperature of a town is defined by .The aim is to find the average temperature from month  to…

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Q: The function f is defined by f(x)= 2 √x x³ - for x > 0. Part A: Find f'(x). Part B: Write an…

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Q: Let R be the region bounded by the graphs of IT y=2sinx and y = 2cosx fromx = 0 to x = . Which of…

A: Given that the region is bounded by the curves  from

Q: Find F as a function of x and evaluate it at x = 0, x = π/4, and x = π/2. ftc F(x) F(0) F(x) I = =…

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Q: (b) log321 +2/og33 Answer: log3 189 ! No, that's only partially correct

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Q: 1 C 4 3 2 7 a To find the blue shaded area above, we would calculate: b f(x)dx = area Where: a = 1 2…

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Q: Consider the function f(x,y) = 4y³ - 8x²y − 30x² − 30y² + 1. on D= [5,5]x[-1,7] Find the absolute…

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Q: Considering the definition of f(x) below, find lim f(x). x-*6 Select the correct answer below: O -56…

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Q: jane is 2mi offshore in a boat and wishes to reach a coastal village 6mi down a straight shoreline…

A: jane is 2mi offshore in a boat and wishes to reach a coastal village 6mi down a straight shoreline…

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Q: Question For which value(s) of x does f(x) = 3x - 10 have a tangent line of slope -4? If there is…

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Q: Question The graph of f(x) is shown below. Find the graph of f'(x). VA -6-5-4-3-2-1, 1 2 3 4 5 6 MN

A: A graph of the function  is given.The aim is to sketch the graph of the derivative function .

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Q: Question Given h(x) = tan(-x² + x), find h'(x). Sorry, that's incorrect. Try again? h'(x) = (2x -…

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Q: Given the following graph of the function y = f(x) and n = 6, answer the following questions about…

A: We have given a graph of function y=f(x).We have to use the Trapezoidal Rule and Simpson's Rule to…

Q: Find a parametrization of the line in which the planes x+2y + 4z= -4 and 2x+3y +6z= -7 intersect.…

A: The given equations of planes are

Q: Find F as a function of x and evaluate it at x = 5, x = 7, and x = 9. F(x) = F(5)= F(7) = F(9) =…

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Q: Question Given f (x) below, find f'(x). Do not include "f'(x) =" in your answer. Provide your answer…

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Q: Determine the average value of f(x) = sec²x over the interval 0, 0,4 2

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Q: Use a Riemann sum to approximate the area under the graph of f(x)=x² on the interval -2≤x≤2 using n=…

A: The midpoint rule∫abf(x)dx≈Δx(f(x0+x12)+f(x1+x22)+⋯+f(xn−2+xn−12)+f(xn−1+xn2))Δx=b−an

Q: Sketch the slope field and sketch two solutions for the differential equation. (a)

A: Since you have posted multiple questions in a single request, we will solve first question for you.…

Q: Given the following limit g(2+ h) - g(2) lim h→0 h which of the following must be true? Select two…

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Q: A company estimates that the revenue (in dollars) from the sale of x doghouses is given by the…

A: The objective of this question is to find the approximate change in revenue when the sales of…

Q: _g(x) = 4x3 (1 – x4)²

A: The given function .The aim is to find the series representation of the given function.

Q: 2. Find the Maclaurin series of the following functions. 1. f (x) = xm 1-x³9 2. f (x) = x² sin² (4x)…

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Q: find the critical points

A: given function

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A: Let b be length of the box and a be the length of the side of the square.The volume V of the box…