Set the vectors u and v with the points so that v.u 5-¹ ( ) = = |o||૫| 3 cos

Q: Suppose that f(x, y, z) = x²yz — xyz³ is a function of three variables. 1. Find the gradient of f(x,…

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Q: EVALUATE THE FOLLOWING LIMIT @lim x²-x-6 X-3 x-3

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Q: To produce x units of a religious medal costs C(x)= 12x+63. The revenue is R(x) = 33x. Both cost and…

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Q: Write an iterated integral for dA over the region R described to the right using R a. vertical…

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Q: Write the pair of parametric equations in rectangular form. x = 7 sin 0, y = 2 cos 0

A: given

Q: Suppose f (x, y) = , P = (-4, 4) and v = 2i + 3j. A. Find the gradient of f. (Vf)(x, y) i+ Note:…

A: Solving the problem

Q: 1) Find: lim x→ 4 x² - 16

A: We are required to find:

Q: A rabbit jumps across the floor at an angle of 30° with an initial speed of 8 ft/sec. i. Write a set…

A: According to our guidelines , we can answer only first three sub parts. Kindly re-post other…

Q: Evaluate h+ fiz" /// 1 AP (2x + 2h + fix) = {(x, y, z) |0 ≤ x ≤ 8,0 ≤ y ≤ 1,0 ≤ z ≤7} .

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Q: Write an iterated triple integral in the order dz dy dx for the volume of the tetrahedron cut from…

A: To write an iterated triple integral in the order dz dy dx for the volume of the tetrahedron cut…

Q: Which of the following ideas represent the different ways two lines can intersect. Select all that…

A: Statement are:The line L interacts with the plain at exactly one point, P.The two lines are not…

Q: Subject: calculus  Solve the system of nonlinear equations ((2x)^2/3) +( y ^2/3)= (9^1/3)…

A: x=     , y=x=,  y=x=, y=x=,   y=

Q: lim √3x²+6 5- 2x

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Q: Change the Cartesian integral to an equivalent polar integral, and then evaluate. In 3 √(In 3)² - y²…

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Q: X 1/4 - 1/4 g(x) g'(x) f(x) f'(x) 3 -1/2 -2 1 7 2 1 3

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Q: Given the vector ủ = ( − 1, − 3), find the magnitude and angle in which the vector points (measured…

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Q: Evaluate O A. OB. O C. O D. -2 (2) (1) -² (+-) 2 - dt at t = for the function w(x,y,z)=- 4 9 xy ()…

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Q: a) Find a vector equation of the line through the point (1,5,8) that is perpendicular to the plane…

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Q: 47. y = -2 48. y = 8 In Exercises 49-56, use the most convenient method (Disk or She Method) to find…

A: By using the most convenient method (Disk or Shell Method) to find the the given volume of…

Q: Assume that the recursively defined sequence converges and find its limit. a₁ = -4, an+1 = √√8+2an…

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Q: Find the Maclaurin series for the given function. 1 x-3 Ο Α. Ο Β. 0 c. Σ n=o3n+1 Σ 3h n = 0 X - Σ…

A: The given function is 1/(x-3) Find the maclaurin series.

Q: Find lim (x,y) →(1,0) x - 4y #1 /x-4y - 1 x-4y-1 √x-4y - 1 x-4y-1 7-0 lim (x,y) →(1,0) x - 4y #1…

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Q: 7 x 3 - 20 (a) lim (b) lim F1IX +5² +1 (c) lim F1I8 2+7 3x + 5

A: (a) (b) (c)

Q: For what values of x does the series converge conditionally? Σ n=1 (x+10) √n

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y)= 6 Select the…

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Q: Find the critical points of the function f(x, y) = x² + y² + 8x − 4y + 4.

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Q: After t hours of work, a bank clerk can process checks at a rate of r(t) t² +90t + 5 checks per…

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Q: Suppose that f(x, y) = 7, and D = {(x, y) | x² + y² ≤ 9}. Then the double integral of f(x, y) over D…

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Q: Define f(0,0) in a way that extends 22 x-y f(x,y)=xy- at the origin. 2 2 x +y to be continuous Let…

A: We need to find f(0,0)

Q: 10. A light is mounted on top of a 16 ft tall pole. A man 5 ft and 6 in tall is walking away from…

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Q: Find the area under the graph of y = -x² + 4x on the interval [0, 2]. 1 4 3 2 1 ISH|| 5 4 3 -2 -114…

A: y= -x2+4xWe have to find area under the graph of y on the interval [0,2]

Q: Find lim 14x4 x f(x) 0.900 0.990 | 0.999 1.001 | 1.010 1.100

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Q: Let f(x)=√√9x-5, g(x)=x²-49, and h(x): (fh)(x) 1 X-7 Fi

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Q: Find of/ox and af/ay. f(x,y)=3x3 Зу ?x af ду 11

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Q: Given that tan(0) = 1.13, match each of the trigonometric functions with their value. sec(8) cos(8)…

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Q: Let f(x, y) = xex²-y and P = (2,4). (a) Calculate ||Vfp||. (b) Find the rate of change of f in the…

A: We need to find rate of change.

Q: Assume that the recursively defined sequence converges and find its limit. a₁ = 1, an+1 = 6 1+ an…

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Q: Question 3 The graph below shows y=f(x) for -2 ≤x≤1. Outside of this interval f(x) is zero. y 1+ 0 x…

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Q: Find a formula for the nth term of the sequence. -1, 2, 7, 14, 23, ...

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Q: 5-6 Sketch the area represented by g(x). Then find g'(x) in two ways: (a) by using Part 1 of the…

A: Sketch the area represented by g(x) . Then find g'(x) intwo ways: (a) by using Part 1 of the…

Q: x y + Write an iterated triple integral in the order dx dy dz for the volume of the tetrahedron cut…

A: To write an iterated triple integral in the order dx dy dz for the volume of the tetrahedron cut…

Q: Q1// Find equations for the normal and tangent to the curve of sin(x²-x) y = x > at x = 1.

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Q: Determine the order, n, of the differential equation d³y dx5 dy dx n = +7- = 4x4.

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Q: Suppose the rule of the function f is "add one" and the rule of the function g is "multiply by 8."…

A: Given that the rule of function f is "add one" and rule of function g is "multiply by 8".

Q: Find the absolute maxima and minima of f(x, y) on the given regions O f(x, y) = x² + y² 0≤ y ≤2-2x}…

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Q: √y Change the order of the integration f(x,y)dxdy О У 2

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Q: Find of/ox and oflay. учу дх д ду f(x,y) = x

A: Given Function