In R', the equation x² + y + z? = 4 describes a sphere of radius 2. Select one: True O False

Q: 1. Disk Method a. y = x2,x = 0, x = 2, y = 0, about the x ахis а.

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Q: Find and classify the critical points of the function: f(z, y) = z' + y* – 144ry + 4 Local maximums:…

A: Given that; f(x,y) = x^4 + y^4 - 144xy + 4  Let's  find minimum and maximum points;

Q: Problem 1 Solve the inequalities and sketch their graphs on the real number line. (a) 4r – 6 > 10…

A: We have slove inequality  As per guidelines we have to solve 1 question if you need please repost…

Q: 2. A boat is being pulled into a dock by a rope attached to it and passing through a pulley on the…

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Q: 3- Jッ 2X e dy + 2 (y ē -x) dx =0. dy よx 4- Sinx + cosx y = tan x

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Q: of the indicated portion of the curve. K.

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Q: 11. (e* sin y – 3x²)dx + ( e* cos y+ |dy = 0 12. (2x + 1+x?y? ) dx +( -29) dy = 4 - 29) dy = 0…

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Q: 3. A girl is flying a kite on a string. The kite is 120 ft. above the ground and the wind is blowing…

A: To solve this problem we use pythagorous theorem.

Q: PERFORMANCE TASK 1. The population of a city years from now can be modeled by the function P(x) =…

A: Concept: Graph: A graph is a graphical representation of data that is organized on a graphing plane…

Q: Find (6x+5) dx. (6x+ 5) dx%3D

A: Note that: ∫xndx=xn+1n+1+C

Q: Write an equation for the polynomial graphed below 5 4 3 1 2 -1 -1 2 3 4 5 -5 -4 -2 - -3 -4 -5 +…

A: topic- polynomials

Q: Find the derivative of y = Arccot (tan 2x).

A: The objective of the question is determine the derivative of the given function.

Q: L Find the point/s of intersection of each of the following figures given below, draw the element…

A: topic - Area bounded by curves

Q: 35. A Baguio City road is inclined 20 to the horizontal. If a man jogs 500 m along this road, how…

A: We have to solve 35 & 36.This will solved by the help of trigonometric value.

Q: Write a in the form a = a-T+a,N at the given value of t without finding T and N. )3 (7 e*cos t)i+ (7…

A: Given that;                      a(0)  = atT + anN     Let's   Find  the value of at and an.

Q: You measure 43 dogs' weights, and find they have a mean weight of 34 ounces. Assume the population…

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Q: An open-top rectangular box is being constructed to hold a volume of 150 in?. The base of the box is…

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Q: The curve below has a horizontal tangent line at the point (1, 1) and at one other point. Find the…

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Q: A volleyball is hit when it is 4 ft above the ground and 12 ft from a 6-ft-high net. It leaves the…

A: We need to find vector form.

Q: be the solid enclosed by the paraboloid z = -x² – y² and the cone 2? = x² +y?,z > 0.

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Q: Evaluate the integral: - *Input answer as decimal round-off to 2 decimal places.

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Q: -2 Let -1 <r< 1, the series r na" is the power series representation of the n-1 function

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Q: 3. Out of frustration, Maxine throws a stone into a river. This caused ripples in the form of…

A: Given problem:- 3. Out of frustration, Maxine throws a stone into a river. This caused ripples in…

Q: Find the given limit. 2 X -5 lim 4-x X -4 x -5 lim %D 4 -x X→ -4 (Simplify your answer.)

A: Find the given limit

Q: Find a point on the parabola y - x* + 9 which is closest to the origin.

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Q: Problem 2 Let f(x) = and g(x) = /3x +2. (a) Find the domain of y = f(x). (b) Find the domain of y =…

A: We have to find domains

Q: 37. A 10-m ladder rests against the wall of a house. The foor of the ladder on the ground is 1.3 m…

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Q: 15. xydx + 2(x² + 2y²)dy = 0

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Q: a). Find the specific solution to the 2nd order non-homogeneous differential equation d²y dy 12y =…

A: a)The given differential equation,d2ydx2-dydx-12y=30x

Q: 81. Area Find the area between the graph of y = sin x and the line segment joining the points (0, 0)…

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Q: Find the volUme OF the solid obtained by rotating about the y-axis the region boUnded by y= x° the…

A: Follow the procedure given below.

Q: dy without first solving for y. dx Use implicit differentiation to find - 28x4 + 10x2y + y* = 8 dy…

A: The given function,    -28x4+10x28y+y4=8

Q: 10. (x + 3x3 sin y)dx + (x* cos y)dy = 0

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Q: position in feett seconds after it starts moving is given by s(t)=D9t/t erage rate of change in…

A: Topic:- application of derivatives

Q: Find the arc length parameter along the curve from the point where t= 0 by evaluating the integral…

A: Given problem:-

Q: Using half-angle identities, find the exact value of tan Note that (1 cos 0 1– cos 0 sin 0 tan 2 1+…

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Q: Geometric Sequence A. Find the indicated terms of the following geometric sequences. 2. 2, 4, 8, ...…

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Q: . Find the general solution to y + 2x = 5y³. dy . Solve the initial value problem of (sin x) = y cos…

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

Q: The boundaries of the shaded region are the y-axis, the line y = 1, and the curve y = VT. Find the…

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Q: Evaluate [², dx V4-x2 2.

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Q: Determine if the following integral converges or diverges. If the integral converges, find its…

A: To determine whether the given integral converges or diverges.

Q: 1. An airplane is flying towards a radar station at a constant height of 6 km above the ground. If…

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Q: Let f(r) = then for all real number the power representation of f is > 9r" %3D Select one: O True O…

A: Solve the following

Q: Find the equation of a plane that is perpendicular to the vector – i+ 2j+ 2k and passing through the…

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Q: The area of the region that lies to the right of the y-axis and to the left of the parabola æ = 2y –…

A: topic- Area bounded by curves

Q: Find the moment with respect to x=4 for the first-quadrant area bounded by y^2=4x, the x-axis and…

A: We have to find moment with respect to X=4.

Q: Q4) Find the largest eigen value for the matrix 1 2 A= with x" (0) =(7/17 1) 5 4

A: simply find eigen value of the matrix A , two eigen value of the matrix

Q: 1.1 1) lim (2) x3+8 X→-2

A: Given query is to find the limit nofnthe expression

Q: tan z If f(x) = then f'(x) is ? z² – 1) soc? z (z² – 1)° O (2? - 1) sec²(x) æ – 2 (tan(æ)) 2z tan z…

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Q: 3. A girl is flying a kite on a string. The kite is 120 ft. above the ground and the wind is blowing…

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