The value of the definite integral 3 [² (3x² Jo 0 is (3x² - 2x + 4)dx

Q: The equation x² + y² +10y + z² = 6z - 18 represents Select one: O a sphere with center (0, 5, -3)…

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Q: Convert the rectangular coordinates to polar form (√8,√8) (4,57) (√2,73) Option 4 O Option 1 (2,3)…

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Q: True or False: Suppose e is constant. Then is equal to 12e. Select one: True O False 6 edx

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Q: In a pool filled with water to a depth of 1 Rectangular plate calculate the fluid force on one side…

A: Given: Depth of pool = 10ft Area of rectangular plate, A = 3ft×4ft=12 ft2  Hydrostatic Force on…

Q: 17. Use the method of disks/rings to determine the volume of the solid obtained by rotating the reg…

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Q: The general solution of the DE+4-5y=0 y= Ae* + Be5x Option 2 O y = Ae* + Be-5x y= Ae* + Be-5x Option…

A: We have to find the general solution.

Q: Use the nth term test to show that the series is divergent, or state that the test is inconclusive n…

A: We have to use the nth term test to show that the series is divergent, or state that the test is…

Q: Sketch the graph of a function that satisfies the following conditions

A: Given

Q: Find the volume of the tetrahedron bounded by the plane z=4-4x-2y and the coordinate planes. I

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Q: use a graphing utility to graph f(x)= -0.2x^3 - 0.5x^2 + 4x -4 on the interval [-6,4] and…

A: The given function fx=-0.2x3-0.5x2+4x-4 on the interval -6,4

Q: Approximate the area under the parabola y=x² from 0 to 5, using three equal subintervals. The…

A: We need to find approximate area.

Q: Find the sum of the series: n=0 (-1) 16-2 (2n)!

A: Find the sum of the series (-1)n16n-2/(2n)! from n=0 to infinity.

Q: Annual U.S. factory sales of consumer electronics goods to dealers from 1990 through 2001 can be…

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

Q: Find the radius of convergence for Σ (sin²n)x". n=1

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Q: x(t) Find a plane containing the point (-4,3,-8) and the line y(t) z(t) = 8 - 3t 7 + 4t -8+ t

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Q: Given the vector field F(x,y,z)= , find the divergence and the curl of F. I

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Q: Find the distance from the point (-4,3,-2) to the yz-plane.

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Q: A mug of beer chilled to 32 degrees, if left in a 68-degree room, will warm to a temperature of T(t)…

A: A mug of beer chilled to 32 degrees, left in a 68-degree room,will warm to a temperature of…

Q: True or False: We have Select one: True O False 2 x² dx > 2 [₁² x x³ dx 3

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Q: -1-y 3) Evaluate the integral dxdzdy?

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Q: Given the curve of y=6-x² and y=x+4. Sketch the graph for -3<x<3. State the intersection points…

A: We can find the area of the bounded by the given curves.

Q: Find the curvature K of the curve. r(t) = et cos(t)i + et sin(t)j + et k

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Q: True or False: We have Select one: O True O False 8 [√x dx √xdx = 12.

A: We have to find the given value of integration is true or false.

Q: H.W: Evaluate the integral 1 1 SS 0 y 1. x² exy dxdy 2 2. 1 y 2² SS dxdy

A: To evaluate the following integral. 1 ∫01∫y1x2exy dx dy2 ∫12∫yy2 dx dy

Q: Consider the following. 2(x-8)² + (y - 6)² + (z − 5)² = 10, (9, 8, 7) (a) Find an equation of the…

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Q: Find ln(9.2) from ln(9.0) = 2.1972 and ln(9.5) = 2.2513 by linear interpolation and get the %error.

A: We need to find ln(9.2)

Q: Evaluate the following integral. √144-16x² dx

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Q: Convert the rectangular coordinates to polar form (√8,√8) (4,5) (√2,72) Option 4 O (2,37) (4,5)…

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Q: Sketch a graph of the function f(x) = 3 cos 6 5 4 3 2 1 -8п -7п -бп -5п -4п -3л -2л -π -1 -2 -3 -4…

A: This question is based on graphing a function from its principal function.

Q: A) Verify that y = C₁е¯x + c₂e5x is a solution of the DE: y" - 4y' - 5y = 0. B) Find a solution of…

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Q: Determine the Riemann sum using L4 over the interval [-1,1]. y = 3x² - 2x + 1

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Q: Find f'(a) at the given number a.  f(x)=(6x+7)1/2 ,  a = 7

A: Use derivative

Q: Find the point at which the line r(t) y(t) z(t) = -6-7t 7+t - 54t intersects the z plane.

A: Let's find intersect points.

Q: The Taylor series for f(x) = eª at a = -4 is Σ ²n(x + 4)" n n=0 Find the first few coefficients. со…

A: The solution is given below

Q: Q2 a) Find the derivative using logarithmic differentiation. x³(2x - 1) (5r+1)7(r+1)

A: topic- derivative of a function Note: As per bartleby guidelines, we are supposed to solve only…

Q: 50. Find the center of mass of the region bounded by y = x + 2 and u = ² - 4

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Q: s -2.5, the elasticity of demand for business computers is -.90, and the elasticity of supply for…

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Q: 4. (a) Find L 5t cos at - e³ t (b) Find L te cosh 7t].

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Q: 4- If w=e³x+4y cos 5z then Wxx + Wyy+Wzz 5- The general solution of y"+4y+3y=0 6- The series=(1+)…

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Q: a. Find an equation for the secant line through the points where x has the given values. p. Find an…

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Q: The number of people in a town of 65,000 who have heard an important news bulletin within t hours of…

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Q: Let a = (5, 5, - 3) and b = ( – 5, 3, 0). Find the projection of b onto a. proj¡ b = <

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Q: Give a possible formula for the function below. Let A = (1, 21) and B = (2, 147). Use the general…

A: Given problem:- Give a possible formula for the function below. Let A = (1, 21) and B = (2, 147).…

Q: Use the Midpoint Rule with n = 4 to approximate the integral. 11 K √x + 5dx = [Please enter your…

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Q: [3 -2 21 The matrix A=0 -2 1 one of the eigen vector is (solve) Lo 0 11 250 Option 4 O [3] -2 -31 2…

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Q: Evaluate the integral or state that it diverges.

A: NOTE: Refresh your page if you can't see any equations. . substitute  take derivative…

Q: Given the function of f(x) = 2x² - 10x +9 on the interval [-2, 0], find a point c between -2 and 0…

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Q: The graph shows the velocity of an object over its first 18 econds of motion. Calculate the object's…

A: We have to find the displacement .

Q: Write an equation for the transformed logarithm shown below, that passes through (2,0) and (1,3) N 4…

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Q: For the function z = - 8x³ - 2y² - 2xy, find a z(1,-2), andz(1,-2). dz dz a ax' dy ax

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