A r= 5,0 = = radians 3

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A: Solution

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A: The given function fx=x2-3x-18x-6 we have to find the value of f6, so that f is continuous at x=6

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Q: 1. Use separation of variables to find an explicit form of the solution to the following ODES. Do…

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Q: Find the limit. √x² x² - 9 lim xx 5x 15

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Q: The interval [0,0] is closed. O True O False

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Q: 8. y = In ln 1+sinx 1–sinx

A: As we know that; The Chain rule: fgx'=f'gx·g'x The Quotient rule: fg'=f'·g-g'·fg2 And the common…

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A: I am attaching image so that you understand each and every step.

Q: dy 3. Let y = (f(x) + 5x2)4 and suppose that f(-1) = -4 and = 3 when x = -1. Find f'(-1). dx

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Q: - Find and sketch the domain of the functions: √x+y+1 x-1 b) f(x, y) = x ln(y² - x) c) f(x, y) =…

A: The given functions, a) fx,y=x+y+1x-1b) fx,y=xlny2-xc) fx,y=6-3x-2y We have to find the domain of…

Q: S+4 (s²+4s+8) 10. L-1 solve using inverse laplace

A: As we know the inverse Laplace transform identity;  1). L-1a·fs+b·gs=a·L-1fs+b·L-1gs 2).…

Q: 2. In a factory, all employees work a basic week of 38 hours. Any overtime worked is paid for at…

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Q: (2xy-3x²) dx + (x ² + 2y) dy = 0

A: As we know that; The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution…

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Q: A quadratic function f is given. f(x) = 8x² - 16x + 1 (a) Express fin standard form. f(x) =

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Q: What  is the equation of the circle with center (1,-5) and radius of 7?

A: As we know that; The standard equation of the circle is: x-h2+y-k2=r2 Where the Center is at h,k and…

Q: Simplify cot(t)/csc(t)−sin(t) to a single trig function

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Q: 1. Circle the function if it is a (a) f(x) = 3x³ - 2x² + x (b) f(x) = 5x ² +5x² (c) f(x) = 2…

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Q: " + 4y = cos 3x

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Q: y – 4y = xe*

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Q: Find the position vector R(t) and velocity V(t) given the acceleration A(t) = 25esti + 5 cos(t)j +…

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Q: 1. Eliminate the arbitrary constant. y² = 4C(x + C)

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Q: 3. A flag is raised vertically from a pole at a constant rate of 0.5 m/s. A point B on the ground is…

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Q: Determine the rate of change of the function g(x, y) = y² tan(x − 2y + 4) 2) in the direction of the…

A: We need to find rate of change.

Q: 1-sine 8-π/2 1+cos20 3) lim

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Q: (0) +27= 10; 7(0) = 0,

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Q: which of the following is a function? x2-(y/5)2 =12 9= cos y + 2sin2x cos 2x - y=7 |7-y| = 4y

A: A function is a kind of rule that, for one input, it gives you one output.An example of this would…

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Q: Graph the horizontal or verticale y*3 Use the graphing tool to graph the line Click to enlarge

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Q: 1. For each of the functions f(x, y) below, describe its domain in set notation, give a geometric…

A: Dear student  We are allowed to solve the first 3 subparts of the question. If you need the rest of…

Q: Calculate all four second-order partial derivatives of f(x, y) = 2x²y + 7xy³. fax (x, y) = fry (x,…

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Q: 23 Using the Table method, find the limit. Make sure you show all steps 4x +9 x+2 lim, g(x)

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Q: (cos X-cosy-cotx) dx - sinxsiny dy=0

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Q: If= 1π sin(0) = use the unit circle to find

A: Please refer to the image below

Q: Find the instantaneous rate of change of the function f(x) = x3 + 8x when x = –3

A: Find the instantaneous rate of change of the function f(x) = x3 + 8x when x = –3

Q: f (x, y)=√x-2+√y-1

A: The objective is to find and and sketch the domain of the function.

Q: values ( Vinx dx using the S 1 x method where Rom brook Equal A) 0-64lot Bo 65806 00-6637 O 6112 4=…

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Q: Use a graphing utility to graph the region bounded by the graphs of the equations. Then find the…

A: Given data:- y=2xe-xy=0, x=4

Q: • The domain off is (-∞, +∞0) •f (5)=-2 • x intercepts are -7, -5, -3, 0, and 3 • limf(x) = 0 x+5 •…

A: To Find: Create a function that satisfies all the conditions.

Q: 6. Give the next three terms of 10, -5, 5/2, 7 Find the geometrio hot on geometric sequence.

A: 6) Given geometric sequence, 10,-5,52. . . .

Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-1 ↑em

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Q: Algebra An airplane's altitude declines steadily by 29,750 feet over a 14 -minute period. Find the…

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Q: 23-2 y₁ Evaluate. lim f(x) x--3

A: Given query is to find indicated limit.

Q: Let g(x, y) = cos(x + 4y). (a) Evaluate g(8, -2). g(8, -2) = (b) Find the domain of g. 0 - 1 ≤ x +…

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Q: 5. y = sec(In x) 7. y = tan (ln(5x))

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Q: Calire, Blanch, and Cam can mow the lawn in 5, 7, and 8 hours respectively. How many hours will it…

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