Find a vector with initial point (4, -4,0) and terminal point (7, -14, - 10). Then find a unit vector in the direction of 7. Enter your answers in i, j, k format. Unit vector =

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Q: 37. Problem Using polar coordinates, a point is at (7, 38). Find its rectangular coordinates. a)…

A: As per bertleby guideline I  have to solve only problem 37. For answer to others resubmit the…

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Q: Find the area of the following region. The region inside the inner loop of the limaçon r = 2+4 cos 0…

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Q: 3) Graph and evaluate and evaluate 5 dx -2 7 6 و اس ام اس اب 5 4 3 2 101 -7-6-5-4-3 -2 -1 0 1 2 3 4…

A: Topic = Functions

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Q: 2- The circle ² + (y-2a)2 = 4a² is rotated about the line y = -1 where a > 0. A torus is obtained…

A: Given: the circle x2+(y-2a)2=4a2 is rotated about the line y= -1 then torus is obtained from this…

Q: Given f''(x) = 7x - 2 and f'(0) 2 and f(0) = 1. Find f'(x): and find f(4) =

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Q: centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 8…

A: The volume of a pyramid isBh3 , where B is the area of the base and h is the height of full pyramid.…

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Q: Q7. Use Green's theorem to evaluate fy² dx + 3xy dy, where c is the boundary of the semi annular…

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Q: Find f such that f'(x) = 9 √√x f(1) = 32.

A: Topic:- application of integration

Q: for problems 16 and 17, use the following. the following rule of func f(x)= x² + 4x² +2 to find 75…

A: Given: f(x)=x3+4x2+2

Q: 6) 3/2 · 4x²)³/; 9x dx

A: Our Aim is to solve the integral given below:-∫9-4x252x6dx -(i)

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Q: Find the partial sum S, of the geometric sequence that satisfies the given conditions. 2 3 S4=…

A: Please see the below picture for detailed solution.

Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has…

A: Given: x+3y-2z=02x     +4z=44x+6y     =4

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Q: (a) Consider the sequence f(n) = 1 + 4n, where n is an integer ≥ 1 (i) Evaluate the first six…

A: The given sequence fn=1+4n, where n is an integer n≥1

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Q: The function f is shown below. What is the value of nswer in simplest form. -8 -3 N 3 H N W 4 in -5…

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Q: The value of 1 Submit Question da is

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Q: Evaluate the integral: (A) Which trig substitution is correct for this integral? 1 0x = -sec (0) 10…

A: The given integral is: ∫dx64-10x232 (B) To find: Which integral do you obtain after substituting for…

Q: Q6. Evaluate S¹, S₂ Sp dz dx dy.

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Q: 1. Write and then solve for y = f(x) the differential equation for the statement: "The rate of…

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Q: Evaluate the following indefinite integral. 1 √2 + 3x² Note: Don't forget your C! And be sure to use…

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Q: Evaluate the indefinite integral. 5 fz¹ √8+zºdz + C

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Q: According to a state​ law, the maximum amount of a jury award that attorneys can receive is given…

A: Given data:- the maximum amount of a jury award that attorneys can receive is given below 40% of the…

Q: Answer: Use a triple integral to find the volume of the solid enclosed by the paraboloids y = x² +…

A: Let's find volume by using triple integral.

Q: 2x²-3x + 10 dx (x²+4)2

A: The objective of the question is evaluate the indefinite integral.

Q: a polynomial a 17 minimal poly ent. dent.

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Q: Find the area bounded by the curve xy=2 and the line x+y=3 O 0.11 O 0.17 O 0.22 0.05

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Q: Find the center and radius of the sphere with equation (x + 2)2 + (y - 3)2 + (z + 6)² = 16 Center:…

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Q: Question 4 (a) Calculate the following: i. the area of the region in the first quadrant bounded by…

A: According to students we will solve second part for you.

Q: 2x lim(x,y)→(0,0) x² + x + y²

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Q: 2. A girl of height 120 cm is walking toward a light on the ground at a speed of 0.6 m/s. Her shadow…

A: Given,            A girl of height 120 cm is walking towards a light on the ground at a speed…

Q: S √x²-a² X dx

A: To solve the given integral.

Q: I ― √co COS X lim x 0 1 cos x

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Q: lim 0 3x²+5 cos x- 2x -5

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Q: Use Green's Theorem to evaluate the following line integral. Assume the curve is oriented…

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Q: The function f is shown below. What is the value of answer in simplest form. -10 -9 -8 -7 -6 -5 4 3…

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Q: Find the sum of the first four terms of the series. S4= (-1)^(1+3)*1+(-1)^(2+3)*(1)/ (Remember that…

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Q: Differentiate the following function. You do not need to simplify the derivative. ƒ'(x) = 5 f(x) =…

A: Derivative of function f(x)=lnx5

Q: Find the area of region A in the figure if the equation of the boudary is r = 4 cos (0). r=1 A A = X…

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Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has…

A: The objective of the question is determine the solution of the system of equations.

Q: k Determine whether the statement below is true or false. Justify the answer. A linear…

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Q: Consider the function f(x) = 10x¹0 + 3x7 - 8x4 - 2. An antiderivative of f(x) is F(x) = Ax" + Bx" +…

A: Given, f(x)=10x10+3x7-8x4-2