Areas

Q: Find the linearization of the function f(x, y) = V61 – 3x2 - 1y? at the point (4, 2). %3D L(x, y) =

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Q: a2– x2 (x+y)dæ dy

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Q: Let f(x) = (4sin z + 2 cos z)arctan z f (x) =

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Q: a. Use the Intermediate Value Theorem to show that the following equation has a solution on the…

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Q: 4x 12. Using tools from calculus plot graph of f(x) = Make sure to find critical 1+x²° points,…

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Q: 5. Prove lim,40 V2r +I= 1.

A: Given :limx→02x+1=1

Q: Question 2 (. Consider the function f(x) = %3D a2+1 (a) Find the intercepts of the graph of f (if…

A: As per guidelines, I can answer maximum three subparts of a question. Since there are multiple…

Q: Evaluate the following expressions. Your answers must be exact and in simplest form. (a) In e l = -1…

A: We can answer the questions as below.

Q: Test the series for convergence or divergence using the Alternating Series Test. ∞ (−1)n 7n + 1   n…

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Q: A radius r of a spherical balloon is increasing at a rate of 2 cm/s. Find the rate of a volume V…

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Q: f (x) +f (1 – 4 ) = x

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Q: A differentiable function f(x, y) has the property that f(1, 4) = 5 and f-(1, 4) = 3 and f,(1, 4) =…

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Q: Hello good day, can you help me. Make your own sample problem about Integration of hyperbolic…

A: Here I am providing handwritten samples

Q: 8x -2x3+7

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Q: Evalute The Line integral of The Fiel f=xi+zj+yK o ver The helix rz cost i +sintjt tK for osts I

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Q: evaluate the integral - sin (x) dx (x) 1- sin |3|

A: The given integral,      ∫sin(x)1-sin2(x)dx

Q: 2. Evaluate the integral csc2 (5x) d> -2csc(5x)cot(5x) + C O -10csc(5x)cot(5x) + C -cot(5x) + C O 1…

A: To solve the following problem

Q: Express the sum using summation notation. Use a lower limit of summation not necessarily 1 and k for…

A: 2+52+3+72+......9

Q: dy 7. Chain rule of differentiation Using chain rule of differentiation find for dx the following:…

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Q: y = 2 (x² – 3x) (a) Find dy/dt when x = 2, given that dx/dt dy/dt = (b) Find dx/dt when x = 7, given…

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Q: Evaluate each of the following integrals. 1. sin x cos' x dx

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Q: Given f(x) =x2- 1, find the value f(p).

A: Given: f(x)=x2-1

Q: If 30,000 cm2 of material is available to make a box with a square base and an open top, find the…

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Q: 1. Consider the point in the plane whose Cartesian coordinates are (x, y) = (-10, 24). 1.1. Find…

A: From cartesian to polar coordinates we have the following conversion formulax2+y2=r2 i.e.,…

Q: A long metal sheet with a width of L meters is formed into a gutter by bending up two of its sides…

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Q: dy y = 5x is a solution to the differential equation: da Select one: O True O False

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Q: 3. The polar equation r = sin(5 0) is a 5-petal rose. 3.1. This closed curve can be drawn without…

A: Given, r= sin(5theta) The graph is given by,

Q: 1 S dx x In x In In x In In In x

A: We need to solve integral.

Q: f(x) = (6 – x) | g'(x) and h'(x). ) = the Product Rule to find the derivative of f(x). II

A: Topic:- derivatives

Q: dy Differentiate implicitly to find xp ex*y = 7x+ 3y +3 Evaluate the derivative of the each side of…

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Q: The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of…

A: Explained below

Q: ()6 = K 3- 0- 0. 3 6.

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Q: Draw a right triangle containing 0, so that the opposite side is 2, the adjacent side is 5, and the…

A: Topic:- trigonometry ratios  Note :- as per our guideline if more than one question uploaded than…

Q: Two posts, one 8 meters high and the other 12 meters high, stand 15 meters apart. They are to be…

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Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

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Q: An inverted pyramid is being filled with water at a constant rate of 60 cubic centimeters per…

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Q: 21 (e) If(x)| dx (f) f(x) dx 16

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Q: x-3 Analyze the following limits and find the vertical asymptotes of f(x) = x2 -9 a. lim f(x) b. lim…

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Q: Problem #2: Differentiate f(x) = [(6x³ – 3)(7x² + 8x – 1)]° and solve f'(2). %3D Solution: Reason:

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Q: Problem 1 Find the general solution at (4,-1), specify method used. 4 dy + y dx = x² dy %3D

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Q: 21 x² +4x+3 4. Find lim x→1x -5x+6

A: Given query is to find the limit of the expression.

Q: 3) i.- Given the IVP: y" +3y-4y = 20, y(0) = 0, y (0) = -5. %3D %3D | A) Use the Laplace transform…

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Q: 2) xe-X dx 0. A) -Se-7-1 B) -8e-7+1 C) -6e-7+1 D) -8e-7

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Q: Find the absolute maximum and minimum values of the following function in the clc f(x.y) = 2x - 4x+y…

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Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

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Q: The graph of f(z) is shown below. Which of the following statements are true? 7. 6- 5- Select the…

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Q: X -5

A: We have to find the function

Q: If f(x) = 4x sin-), find f'() = f' (0.4) -

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Q: Express the series using sigma notation 6m + 3m + 0 + (-3m) + (-6m)... E-3bn +9b E-3bn – 9b E-3bn…

A: Use the expression form the summation form

Q: Using two or more complete sentences, explain how to find the sum of the geometric series. n-1 4 n=1

A: Infinite gp