Evaluate SSS z dV, where E is the E region enclosed by the sphere x² + y² + z² = 1.

Q: Find the arc length function for the curve y = sin(x) + √1-x² with starting point (0, 1).

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Q: What are the solutions to the equation on [0,2π)? sec(3x)=−23√3 Drag all solutions to the box to…

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Q: Write an iterated integral for and x = 243 using a. vertical cross-sections, b. horizontal…

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Q: Find the centroid (x, y) of the region bounded by the two curves y = 6√ and y = 3 x = TU

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Q: T 2 2. S 8xdx 4 2 0x -8x +32

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Q: Find the values of z, y and that correspond to the critical point of the function f(x, y) = 2z²-1z +…

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Q: The range of a cosecant function is (-∞, -9][5,00). The equations of two consecutive asymptotes of…

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Q: Given f(x, y) = 2x² + 6xy³ + 4y5, find the following numerical values: f(3, 3) = 4. f₂(3, 3) =

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Q: distance in between the point P(3, 1, 2) and the point Q(0, 4,

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Q: 5) If f′(z) = e^z and f(0) = −3, find f (z).

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Q: Obtain the particular solution satisfying the initial conditions indicated. 2. (t² − x)dt - tdx = 0;…

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Q: Use Ayf '(x)Ax to find a decimal approximation of the radical expression. √29

A: By using ∆y≈f'x∆x to find a decimal approximation of the following  radical expression. 29

Q: In Exercises 29-34 use the ratio test to analyze whether the given series converges or diverges. If…

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Q: Find the vectors T, N, and B at the given point. T = N = B = r(t) = (2 cos(t), 2 sin(t), 2…

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Q: H. Given the following sign chart for f(x), answer the following questions: 1. Correct solution for…

A: Solving the following problem

Q: Sketch a graph of a function f with the following properties. f' 0, for x 0, for -50 and f''>0, for…

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Q: Find the volume of the solid obtained by 8x², rotating the region bounded by y = x = 1, x 2, and y =…

A: The given data is: y=8x2x=1x=2y=0

Q: A baseball team plays in a stadium that holds 53,000 spectators. With ticket prices at $10, the…

A: Given attendance denoted by = x there are two points ( 38000 , 10 ) & ( 42000 , 8 )

Q: The gradient of f(x, y) = zy at (x, y) = (-1,1) is

A: The gradient of function f(x,y) is represented by ∇f(x,y) where:∇f(x,y)=∂f∂x,∂f∂y          Equation…

Q: When a mass of 2 kilograms is attached to a spring whose constant is 32 N/m, it comes to rest in the…

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Q: [1-R] [CLO 12] What is the slope of the line f⊥, where f⊥ is a line perpendicular to the line f,…

A: The given line is: 4y-3x=5

Q: Find the 0 ≤ x ≤ 4 arclength of y = 4x²2 on

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Q: A rectangular beam is cut from a cylindrical log of radius 15 cm. A cross-section of the log is…

A: The given figure is:   Radius r=15 cm Let the dimeter is d  ∴d=2r=215=30cm

Q: X = X = 8x 17. What is the exact value of the exponential equation 6.6 + e³x = 45.6? X = In 39 8 In…

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Q: A cable runs along the wall from C to P at a cost of ​$4 per​ meter, and straight from P to M at a…

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Q: square for the following equation? x^(2)+6x+13=5

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Q: You are asked to build an open cylindrical can (i.e. no top) that will hold 171.5 cubic inches. To…

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Q: If   C(t)=71.4te−0.4t measures the​ concentration, in ngml​, of a drug in a​ person's system t hours…

A: The concentration of drug in a person's system is given by the function:C(t)=71.4e-0.4t

Q: Find the unit tangent vector T(t) at the point with the given value of the parameter t. r(t) =…

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Q: x(t) Find a plane containing the point (6,-4,4) and the line y(t) z(t) 3 + 3t -3+ t 6 + 3t

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Q: Obtain the general solution of the following differential equations. 6. xdy-ydx-√√x² - y²dx=0 ¹(²-)…

A: According to your question mentioned ...in answer ....ln|c.x| will come in place of ln|c/x|....in…

Q: You are given the graph of a function f. Determine the intervals where f is increasing, constant, or…

A: To determine the intervals where f is increasing The function is increasing when function goes up…

Q: Find the length of the curve. r(t) = cos(6t) i + sin(6t)j + 6 In(cos(t)) k, 0≤t≤ π 4

A: NOTE: Refresh your page if you can't see any equations. . the given curve is take derivative

Q: Use the washer method to determine the volume of the solid formed when the region bounded by y = x²,…

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Q: The graph of y=f(-x+1)-2 is drawn below: a) 0 c) Sketch a graph of y=f(x) b) Is the inverse, y =…

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Q: for the last answer. is that y to the power of 5

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Q: 1. S dx 2 3x +12x+15

A: Formula to be used I=∫1x2+a2dx=1atan-1xa+c

Q: Consider the right circular cone with a height of h and a base-radius of R, shown below. By…

A: Solution:

Q: 2 få 8xclx o x4-8x²+32 3. f= 1/4 (1 + sinx) dx + 4. Find y if f (2x+7)dx य (1+ sinx) dx = In/ x² +…

A: (2). The given integral is: ∫02 8xx4-8x2+32dx

Q: The domain of the function h graphed below is all real numbers, and all of its extreme values occur…

A: Here three points (1,2) , (0,-2) and (-2,-1) where we can draw three tangents to the graph which are…

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Q: G. Given the following graph of f(x), answer the following questions: 1. Correct solution to f(x)…

A: Given graph of f(x)

Q: (b) Find parameters a and b such that the function jodonivi COS X f(x) = if if if x≤ 0 0 3 ax + b x²…

A: Given :

Q: f(x) = 3cos(x) - 4sin(x) f(x) = sec2(x) + pi cos(x) find the most general antiderivatives of the…

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Q: The radius of a circular disk is given as 21 cm with a maximal error in measurement of 0.2 cm. Use…

A: We have given  radius of the circular disk = 21cm and maximal error in measurement = 0.2cm  We need…

Q: A patient's temperature change, T, due to a dose, D, of a drug is given by the following equation…

A: given  T=(C2-D3)D2d dx(xn)=nxn-1

Q: avaries directly as the square of band inversely as the square of c. If a = 89 when b = 6 and c = 6,…

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Q: Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f(x,y) =…

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Q: Obtain the general solution of the following differential equations. 5. xydx-(x+3y²)dy = 0 Ans.…

A: The given differential equation is: xy dx-x2+3y2dy=0

Q: Locate all the critical points of f(x) = (x+5)*(3-x)³. 1. x = -3, -5, 2. x = 3, 5, 3. x = 3, 5, 317…

A: Derivative