Evaluate •W₂** e² dV where E is enclosed by the paraboloid z = 5 + x² + y², the cylinder x² + y² = 5, and the zy plane. Question Help: Video Submit Question Jump to Answer

Q: Evaluate the expression Sin (@+P); sin (@) = 15, 6 in Quadrant I, 171 Cos (P) = -2√5, Pin Quadrant I…

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

Q: 3 n-∞0 2-ni (a) lim (b) lim Z-2 (c) lim 7-2 x²-4 x+4 4 x-2 I

A: Solving the first three subparts,

Q: Find the interval in which the function given by y = 4x³ - 6x2 - 72x+30 is concaved downward. O A.…

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Q: Find the equation of the line through ?=(15,14) such that the triangle bounded by this line and the…

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Q: Identify the coordinates of any local and absolute extreme points and inflection points. y=x² + 18 X

A: we need to find out the coordinates of local maxima, local minima, inflection points.

Q: 1. In the order of dzdydx, find the volume of the solid bounded by x² + y² = 4 and the planes x + z…

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Q: What is the domain, range, vertical asyptote, horizontal asymptote, x-intercept, y-intercept, and…

A: Solution: Given function, f(x)= 1/x

Q: Evaluate sin-¹(cosx) dx using integration by parts. (A) B xsin ¹(cosx) + = + C x² ++C 2 D xsin…

A: The given integral is: I=∫sin-1cosxdx   As we know that; The Chain rule: fgx'=f'gx·g'x The Power…

Q: Find sin 2x, Coszx, and tonex if sinx = ? JT3 and x terminates in quadront II.

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Q: Find the coordinates at times t = 0, 1, 2 of a particle following the path t = 0: t = 1: t = 2: =…

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Q: 5x³-4x² + 3x 2 x² Find the most general antiderivative of the function: ƒ(x)=-

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Q: Confirm that the below limit meets the conditions to apply Hôpital's Rule and then solve the limit.…

A: Answer: The solution is given below:

Q: Let y = -12 cos [3(x + 4)].

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Q: Find the instantaneous rate of change in the amount in the account at the time the amount is equal…

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Q: Find the limit using l'Hôpital's Rule. Enter an exact numeric value. lim tan(52) Number

A: ∂tanx∂x=sec2x∂xn∂x=nxn-1by using L'hospital rulelimx→0tan(5x)x=limx→0∂tan5x∂x∂x∂x

Q: If the graph of y = mx3 + nx2 will have a point of inflection at (1, 2), what is the product of m…

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Q: 6. r = 2 csc 0 - sec 0

A: To find Cartesian equation

Q: 8. fx²e¹dx

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Q: * Compute the directional derivative at the point in the direction of vector v. 1. z = xeyye* at…

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Q: 15x+2 19. Evaluate 3x² + x (a) 2 In (3) +9 In(10)-2 ln(2)-9 ln(7) (b) 2 ln(3) + 3 ln(10)-2 ln(2)-3…

A: we do only first part.please re post other parts 19)  A=∫2315x+23x2+xdx15x+2x(3x+1)=Bx+C3x+1

Q: -= (x²-2x)tax (use logarithmic differentiation)

A: Given query is to find the derivative.

Q: Find the area of the region between the graph of y = x² – 12 and y - = 3x - 8.

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Q: A wire of length 7 is cut into two pieces which are then bent into the shape of a circle of radius r…

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Q: If the national debt of a country (in trillions of dollars) t years from now is given by the…

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Q: [3. 3 dx dy 1+x4

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Q: A particle moves in a straight line with the given velocity v(t) = 36t−² − 1 (in m/s). Find the…

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Q: 1. Find the intervals on which f is increasing and 3x²+2x+2 11 + 2z. x²+x+2

A: for incresing  f'(x)>0  and for decreasing f'(x)<0for critical points put f'(x)=0dxndx=nxn-1

Q: Use implicit O dy dx dy dx dy dx dx y In y || 1 differentiation to find dy/dx if x In y = 3. || I y…

A: As we know that, The Product rule: f·g'=f'·g+f·g' The Power law: ddxxn=nxn-1 And use the common…

Q: Find a parametric description r(t) for the following curve. The line segment from (8,6,5) to (3,5,6)…

A: Find a parametric description r(t) for the following curve. The line segment from (8, 6, 5) to (3,…

Q: A vector field is said to be incompressible if its divergence is 0. Show that any vector field of…

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Q: 1. If the series an is convergent and an > 0 for all n, then we also know that n=1 (a) Must be…

A: The answer is given below:

Q: 12. f sec² 20 do

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Q: 14) The half-life of carbon-324 is 700 years. I have 400 grams of carbon-324 right now. How much…

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Q: Find дз дх if 4z3 + 3xz2 - xyz - 2xy2 + 7 = 0.

A: 4z3 + 3xz2 -xyz - 2xy2 + 7 = 0 we want to find out ∂z∂x

Q: Find the values of b and c so that has vertex (-1,2). y = 3x²+bx+c

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Q: 6e¹ dt =

A: We need to find out the integration of the given integral.

Q: 17. x = 2y², x = 4 + y²

A: Given curves equations:- x=2y2,x=4+y2

Q: Price-Supply Equation The number of bicycle. helmets a retail chain is willing to sell per week at a…

A: We will find the required.

Q: Revenue The price-demand equation for hamburgers at Yaster's Burgers is x+423 p = 2,985, where p is…

A: The price‐demand equation for hamburgers at Yaster's Burgers isx+423p=2985where p is the price of a…

Q: Use an appropriate test to determine whether the series converges. 8 k! Σ k=1 5 k Select the correct…

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Q: se the following table to answer parts 1-4 below. Part 1 ▸ Part 2 Part 3. Part 4 - fh(x) h'(4) 1…

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Q: 12. Let f(a) be a function with f(1) = 2, f'(1) = 6, f"(1) = -12. Which of the following is the…

A: according to bartleby guide line we do only first part of multiple 12)  given  f(1)=2  , f'(1)=6,…

Q: 2. Use the first derivative test to locate the local marimum and local minimum point ( f(x) =…

A: we need to use the first derivative test to find out the local maximum and local minimum points.

Q: Loyd is floating in his boat 2 km from the straight shoreline of a still lake .Standing at a…

A: GivenT(d)=d2+44+4-d5   We are required to find the minimum value of T.

Q: Which of the following equations represents a parabola with vertex (5,2) and directrix y = - 2? (А)…

A: Let's find equation of parabola.

Q: The initial population of a bacteria colony is observed to be 500 bacteria. The population shows a…

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Q: X √1 + 2x 68. ·So- dx

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Q: Compute the values of dy and Ay for the function y = 4x + 2x given z = 0 and Az =dz = 0.02.

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Q: Approximate the area under the curve graphed below from x = approximation with 5 subdivisions. 3 2 1…

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Q: A particle is moving with the given data. Find the position of the particle. a(t) = 3 cost-2 sint,…

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