y 5| 3 2 -4 -2 -1F 4. 2.

Q: 4x Find the linearization L(x,y) of the function f(x,y) = e cos (3y) at the points (0,0) and0,

A: Answer is given below

Q: a) y = x? e-X

A: We have to discuss properties of the graph

Q: = )* - a) Va' + 1) zVx +1 +C b) Va' + 1) - 2V +1 + C Q3: S dx%3D c) V + 1

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 3) (0,1,0), (2,1,0), (3,4,7) Ans. Indepena

A: Given

Q: f(a + h) – f(a) =

A:

Q: Consider the points A(2, –1,3), B(7,0,5) and C(0, 1, 7), and the line l with symmetric equation x –…

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Q: Using integration determine the Laplace transform of f (t) where f (t) =t when 0 2 %3D

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Q: Find and sketch the domain for the function. f(x.y) = / (x - 9) (² - 4) Find the domain of the…

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Q: Find the area A of the sector shown in each figure. (a) 72° 4 A = (b) 0.5 rad 16 A=

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Q: A cross section of a nuclear cooling tower is a hyperbola with the equation y? - = 1 902 1302 The…

A: Solved below

Q: Question 7 The outer diameter of a spherical tank measures 6 feet. If the tank is made with a…

A: This question is related to volume of spheres, we will solve it using given information.

Q: .5 dx Vx4 – 2x2 + 1 b. 3

A:

Q: Find a formula for the general term an of the sequence assuming the pattern of the 4 16 64 256 1024…

A: we have to find out the nth term

Q: Change the Cartesian integral into an equivalent polar integral. 3 0-x SS (P+y?) dy dx = J JO dr de…

A:

Q: 19. cos (20) 1/2

A: We will find the value of θ in the following step.

Q: 9–x² x2

A:

Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check…

A: Given

Q: Find the Taylor polynomial of order 3 generated by f at a. f(x) = x2 + x+ 1, a= 7

A:

Q: Consider the vectors a = 4 i+ 8 j-8k, b = 2 i +k and c = 4 j-5k. Are the vectors a and b+c…

A:

Q: The integral (4 – y²)²dy represents the volume of a solid. Sketch the region, rectangular element,…

A: Here, the given integral is: ∫02π(4-y2)2dy which is of the form  π(outer radius)2-(inner…

Q: The function x2 f(x) = 1 - x has a local maximum when x = 2. Select one:

A: We will check if the given statement is correct.

Q: Consider the points A(2, –1,3), B(7,0,5) and C(0, 1, 7), and the line l with symmetric equation 3 =y…

A:

Q: What are intervals of concavity of the function f(x) = -2x – 6x² – 3 ? a. Concave upward on (-o, 1)…

A: Concept: Concavity: If the line connecting two points is above the graph, or if the first derivative…

Q: 9. Jer'y ds, C:x cos t, y sin 1, z = 1, 0<1s/2 %3D 77

A:

Q: A right circular closed cylinder with radius r cm and height h cm is placed on a square block with…

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Q: relative maximum (x, y)

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Q: Question 2 Find the differential dy: y= sin O dy E In a + sin( rVE dr Cos ( xY O (E) None of these…

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Q: 1 Determine the values of a, b and c if: 2(a,b,4) +(6,8, c) – 3(7,c,-4) = (-24,3,25)

A: We can solve this as follows:

Q: The base of a triangle is shrinking at a rate of 6cm/s and the height of the triangle is increasing…

A: The rate of change of the area with respect to time is the derivative of the area function with…

Q: Jse any method to determine if the series converges or diverges. Give reasons or your answer. 9n 2…

A:

Q: The population of Nash County in 2004 was 28,000. In 2012, the population grew to 35,470. Johnson…

A: The population of Nash County in 2004 was 28,000. In 2012, the population grew to 35,470. Johnson…

Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

A: According to our terms and conditions we are solving one one part. Please repost other parts again.…

Q: The radius of convergence of the power series representation of 9x f(x)= 10x+7 10 is R= Select one:…

A: Given

Q: (b) Find the values of a and b so that the function f(x) = x² + ax + b has a local maximum at the…

A: Given: We have the local maximum at the point (7, -6). So, we must have f'(7)=0. Here, f'(x) =…

Q: x² – 2x – 1 dx I ( – 1)²(x² + 1)

A:

Q: Find all values of x for which the series converges. (Enter your answer using interval notation.)…

A:

Q: The function Y = has undergone the following sets of transformations IfY-x passes through the points…

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Q: 10. y = (e3x+4 +2)/(e2*3x +1)

A:

Q: For what values of x is Ax) concave down if f "(x) = 3x' – 14x² + &r?

A:

Q: Apply your understanding of derivatives to determine any intervals of increase for the function…

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Q: For what values of x is fAx) increasing if f '(x) = 3-х (2r – 9)(x +4) %3D

A: We have to find the value of X in the function in which function is increasing.

Q: The edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use…

A: As we know the surface area of the cube is; S=6a2                            ...(1) Where 'a' is the…

Q: Use the transformation u = 4x + 3y, v = x + 3y to evaluate the given integral for the 4 4 region R…

A:

Q: Determine the sum of this convergent series.

A: This question can be solved using the concept of infinite geometric progression.

Q: -2 Sx'V4 – x²dx

A:

Q: Suppose f(x) is positive, continuous, and f'(x) < 0 for all æ in [ – 8, 4], and| f(x)dx = 76 and L…

A: Concept: Mean value theorem: The mean value theorem states that if a function f is continuous over…

Q: Find the length of the curves in Exercises 1-4. |1. y = (1/3)(x² + 2)³/2_from x = 0 to x = 3 2. y =…

A: Note:According to the policy of our company we will solve the first three sub questions. If you need…

Q: Graph y = - cos (x -) by Transformation of y = cosx. Show and label each Trigonometric function…

A:

Q: Find the equation of the line tangent to 2e"y = x + y at the point (2, 0). Write the equation in…

A: Given query is to find the the equation of the tangent to the curve.

Q: I just want to confirm if my solution is right. Please check. If not, please correct me.

A: You have done a mistake which I have shown in step 3 of this solution. Kindly go through it.