Use spherical coordinates. Evaluate y² dv, where E is the solid hemisphere x² + y² + z² ≤ 4, y ≥ 0.

Q: Determine the cartesian equation of a line in 3D if its vector equation is [x,y,z] = [1,2,7] + t[-2,…

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Q: Consider the system x+x=1 x+y=4 where k is a constant. a. Solve the system for k= 0.99, k= 0.99999,…

A: Given that ,

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Q: Please give me answer very fast in 5 min Graph function, f(x) = ×^4 - 8x^3 + 18x^2 by determining…

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Q: Write down the first five terms of the following recursively defined sequence. a1 = 3; an+1 = a1 =…

A: ................(1)

Q: 2) x² + x²³₂²2²-√²³=5πe b) xsiny-y(os₂x = xy C) (os(xy) = sin(xy) 3.2

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Q: (1) Find the limit. Say why LH rule (l'Hospital's rule) applies to this case and then use that sin x…

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Q: The amount of carbon-14 present in animal bones t years after the animal's death is given by P(t) =…

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Q: A -7.5 -5 -2.5 2.5 0 -2.5 2,5 75 Microso

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Q: Arrange  the following fractions in ascending order without converting to decimals or finding…

A: We have to arrange fraction 6/7,5/11,2/3 in asecnding order.

Q: Using the contour map, answer the questions that follow. (a) Estimate fr and fy at point B. (b)…

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Q: نا این

A: We have to simplify the given expression

Q: (a) y = (1-2x²)³ (b) h(t) = 2t+3) 3 6-t²

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Q: Find f such that f'(x) = 4x-5, f(4) = 0. f(x) =

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Q: Arrange the following fractions in ascending order without converting to decimals or finding…

A: Arrange the following fractions in ascending order without converting to decimals or finding…

Q: Videos rning Consider using the precise definition of a limit to show that lim f(x) = x-> 4 = -18…

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Q: tan B=14.87?

A: Use Figure 1 to evaluate the trigonometric function.

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: x³-125 3. Identify any removable and any non-removable discontinuities of the function f(x) = x²-25'…

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Q: 1. If a = 37 – 43 + k 2a - 36 a) 2 and 6 = -27+33 - k 7 b) a +56 express each of the following terms…

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Q: Q.14: Solve the following I.V.P. (xy2)dy - (x3 + y³)dx = 0, y(1) = 2

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Q: Suppose F(4) = 4, F(10) = -9, and F'(x) = f(x). 8 S f(x) dx

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Q: Plot the polar coordinate (2, 2) on the polar grid below by moving the yellow dot at the pole with…

A: Here we have the polar coordinate  on the polar grid.

Q: 4. The inverse function of y=x²-2x+2 is 2 ƒ˜¹(x) = −1+√√x-1 +2-1 c. ƒ˜¹(x) = −1+√√√x−1 5. cos (cos 8…

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Q: Suppose F(3)= -2, F(5) = 6, and F'(z) = ƒ(2). [ f(2) dz =

A: As we know that Integral (or Antiderivative) is inverse process of Differentiation.

Q: Find d²y/dx² implicitly in terms of x and y. x²y 7x = 9 d²y dx² Need Help? X Read It 4

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Q: Use a calculator to find the approximate value of the following expression if possible. Express your…

A: As we know that the domain of the Sin-1 x is  [-1 , 1 ] so use the concept.

Q: For the following set of equations, determine (a) if the system is a linear system of equations, (b)…

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Q: sunny F1 Which of the following is the direction angle of =-1-61 ? Round your answer to the nearest…

A: Given thatVector v = -(5/2)…

Q: On the axes below, make an appropriate scale and graph exactly one cycle of the sin 4. Plot 5 points…

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Q: Over time, the output values of damped functions decrease. O True O False

A: Here we have to use the concept of damped function.

Q: əz Use the chain rule to find and əs tan (=), z = tan əz at u = 7s + 4t, v = 4s - 7t

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Q: Find the locus of the midpoints of chords of hyperbola            3x2-2y2+4x-6y=0  parallel to…

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Q: Which of the following is the direction angle of a vector that has initial point is (-4, -1) and…

A: The initial point of a vector : (-4,-1)The terminal point of a vector : (10,-7)

Q: Find the first partial derivatives for f(x,y) = x cos (xy). of дх of dy = 11

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Q: Perform the indicated operations and simplify the expression. (8 - 4x)²

A: Perform the indicated operations and simplify the expression.(8 - 4x)2

Q: The average speed of molecules in an ideal gas is M V= V = 4 ( √√2RT 3/2 S v³² e-Mv² / (2KT) dv ²…

A: Here, to solve this problem by computing the integral and necessary calculations.

Q: z cos(2x)) - cos(2x))+

A: here using sin2x = 2sinxcosx                 cos2x = 2cos^(2) x -1

Q: 9. ABCDEF is a regular hexagon with centre O. Let AB = x and BC = y. Represent the following vectors…

A: ABCDEF is a regular hexagon. To represent vectors AC and BE in combination…

Q: When demonstrating that lim 3x + 3 = 3 with = 0.3, choose the largest d-value that suffices. x-0…

A: If , then  for .

Q: 3. A large garden is to be made in the shape shown. The bricks along the straight sections cost…

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Q: The graph of a sine function with a positive coefficient is shown in the figure. 10 period 4 (a)…

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Q: Suppose f(x) is a continuous function on the rval [a, b]. Find the average value of the function f…

A: As you posted multiple subparts I need to solve only first three subparts.

Q: Determine the cartesian equation of a line in 3D that is perpendicular to the plane XZ and goe…

A: We have to find the cartesian equation of the line.

Q: Find equations of the tangent lines to the curve y=5ln(x)/x at the points (1,0) and e,5/e)

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Q: Find the volume of the region bounded above by the surface z = 7-y² and below by the rectangle R:…

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Q: Find an equation for the tangent line to the curve y = x-1/3 at the point (8, 1/2).

A: curve : y = x-1/3point : (8, 1/2 )

Q: Rewrite the expression using positive exponents only. 49x

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Q: Simplify the expression.. 6,44 xᵒy (*°4) Z

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