Evaluate the triple integral edV where E is bounded by the parabolic cylinder z = 1 - y² and the planes z = 0, x = 1, and x = - =-1. E

Q: Determine the limit of the sequence or state that the sequence diverges. an = 1 6 n² (Use symbolic…

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Q: Compute the center of mass/ centroid of the region R = {(x, y): 1≤x≤3, 0≤ y ≤ x²

A: Here we have to find the centre of mass of a region.

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

A: Given query is to find the equation of the tangent at given point.

Q: (CLO-3) Find the area between the curves y=12-x2 and y=x²-6-

A: We have to find the area between the curves.

Q: 3 =+1)

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Q: Q2/Find the value of the integral dx 1+x² by using simpson method (n = 6)? 3

A: Find out the value of the integral using the simpson 1/3 method.

Q: Use linear approximation, i.e. the tangent line, to approximate √25.2 as follows: Let f(x)=√x. Find…

A: Linear approximation for fx=x at a=25The linear approximation of the function fx at point a is Lx =…

Q: Consider the functions z= - ex In y, x = In (u cos v), and y = u sin v. dz əz (a) Express and as…

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Q: 6.) Find f/g and its domain. 3 f(x) = = - — 9(x) = x+1 X 2 χ

A: Domain - Set of values of x for which functions is defined.

Q: lim x→0 tan2x-2sinx x3

A: A detailed solution is given below.

Q: Find the approximate integral of 4 1 * -dx In x 2 when n=10 using a) the Trapezoidal Rule, b) the…

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Q: Evaluate the following integrals: 0 • (Cartesian to Polar) Civen the cartesian coordinate, find FOUR…

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Q: Find the value of the following implicit derivative tan y-sec x=5 find...y'

A: Solution is cos2(y)sec(x)tan(x)

Q: 2 Find the equation for (a) the tangent plane and (b) the normal line at the point P (2,0,2) on the…

A: Given: The surface is 2z-x2=0 and the point is P02, 0, 2

Q: In(x²y)- ez-tan"¹ z. Assuming that z is a differentiable function of x and y. Let F(x,y,z) Find F.…

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Q: f) y = sin-¹ (x² - 1)

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Q: EC) Find the average value of the function f(x,y)=²+2x+3y-15 over the rectangular region R=…

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Q: 3. Suppose a function H(t) is given and that this function describes the height H of a projectile t…

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Q: {CLO-3} The critical number(s), if any, of the function O -1. 12.2 01/14 2 O 0, 1, 2 O There is no…

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Q: and y = - V 8) Let ze, where x = √uv and Find dz dy in terms of u and v.

A: Use partial derivatives.

Q: What do you call the numbers below. Ta(1) 2= 1^3 + 1^3 Ta(2) = 1729 = 1^3 + 12^3 =

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Q: (2x - 2 x² - x f(x) = x² 4 graphing calcu x 2 x = 2

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Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

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Q: A particle moves along the path whose parametric equation are x = t³ and y = 12t2. What is the…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Find the general antiderivative of f(x) = + C - 5x¹ x² +6√x

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Q: Q3/Find the value of x If the approximation of the integral f f(x) dx by trapezoidal method is given…

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Q: Differentiate the following using Chain Rule. 1. f(x) = (2x - 1)4

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: You are designing a container that is a right circular cylinder with a volume of 1000 cubic…

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Q: If A = 3ai +4j-k and B = 4i+j-3k, find the value of a if A normal to B.

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Q: If the population of a city is 155,000. If the population declines continuously by 5% per year, what…

A: Let P be the population after t years

Q: Find the area of the shaded region. 49- y=49-x² 35- 21- 7- اتنا -17-1 -21- -35- -49- F3 5 th Fo Q Q…

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Q: Convert each pair of rectangular coordinates to polar coordinates where r>0 and 0 ≤ 0 <2. 1) (-3,0)…

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Q: The displacement (in meters) of a particle moving in a straight line is given by s= t2 - 5t + 16,…

A: We want to find average velocity.

Q: Find the domain of =) = √x² – 3x

A: Given query is to find the domain of the function.

Q: What is the exact area bounded by the curve f(x) = 1/2 X and the x-axis on the interval [1, 8]?…

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Q: Find all critical points of the function f(x) = 2x² 7x²2-2x+4* (Use symbolic notation and fractions…

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Q: Calculate the derivative of f(x) = sinh (x²). (Use symbolic notation and fractions where needed.)…

A: Using chain rule of differentiation.

Q: Particular solution of y" - 5y'=x-2, when x = 0, y = 0, y = 2

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Q: If x + y = 2 , x” + y” = 3 , . Find the value of x(4) + y(4) a. 6.65 c. 8.5 b. 6.55 d. 8.75

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Q: Solve the differential equation y""+y" = 3x² + sin x - 2 cos x What is the particular solution?

A: We have to find the particular solution.

Q: Find the linearization at x = a. f(x) = 7x³, a = 1 (Use symbolic notation and fractions where…

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Q: 3s - 8 4s² + 25 3 8 25 -sin COS Option 1 None of the Choices 2 4 (sin t) - 25 (cost) Option 5 8 25 3…

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Q: {CLO-3} Find the absolute minimum value of the function f(x)=x²-3x²-24x +5 on the closed interval […

A: This question can be solved using the concept of absolute maximum and minimum.

Q: Water is flowing in a conical reservoir 40 ft deep and 16 feet across the top at the rate of 2…

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Q: Find the derivative of the function at Po in the direction of A. f(x,y)=-3xy + 5y², P₁(-10,2),…

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Q: Question 11 (CLO-2) Evaluate lim f(x) where (3x-4 if x2 02 O does not exist O 10

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Q: 3 Let f(x)=x* — x³. Determine the intervals where the function is - increasing/decreasing and…

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Q: We know that for some real number k, the function 3ekx is the solution of the second- order…

A: This question can be solved by substituting the value of y in the given differential equation.

Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

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Q: 3x + 9 Consider the function f(x): For this function there are two important intervals: (-∞, A) and…

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