(2) Determine the inverse of the function ƒ(x)=- 2х-5 [5 ma

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A: Note that, the vertex of the parabola is at (4, 2) and the axis of the parabola is vertical. So, the...

Q: A. Find the derivatives of the following functions: W 1. f(x) = (-x* - 5) 2. f(x) = (-x- 4)-2 %3D

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Q: y 3.0f (1, e) 2.5 2.아 y-e* 1.5 1.0 /y = xe² 0.5 -1.0 -0.5 0.5 1.0 1.5 2.0

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Q: Determine the value of the following limit, if it exists. If infinite, specify either o or -0. (If a...

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Q: z varies jointly as x and y. (z = 128 when x = 4 andy= 8.) z = 4xy 4x z = y xy 4 4y 4 xy

A: Given z varies jointly as x and y

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Q: Solve the initial value problem: y' = – 0.05y + 20 y(0) = 40 y(t) =

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Q: dw Evaluate at (u,v) = (1,5) for the function w(x,y) = xy -y2; x=u-v, y=uv. A. -4 В. 65 C. 1 D. 6 O ...

A: Given w(x,y) = xy-y2,x = u-v,y = uvsubstitute x and y in ww(u,v) = (u-v)(uv)-(uv)2 w(u,v) = u2v-v2u-...

Q: Given: (-8, 6) cose = -3/5 3/5 -4/5 4/5

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Q: Consider the following function. g(v) = v3 - 75v + 7 Find the derivative of the function. g'(v) = Fi...

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Q: Derivatives. Find the derivative of the following functions. Note: It is not necessary to simplify (...

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Q: If b = 1, c = 2, and ZA = 60o, find a. %3D

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and indica...

A: The given question has been solved in detail. 

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Q: VIII. Explique las transformaciones y realice un boceto (un trazado aproximado): 1. f(x) = x? +3 2. ...

A: 1. fx=x2+32. gx=x3-43. kx=x+22 Note:       Multiple subparts are given, we are answer with only thre...

Q: The graph shown is f (x) = V2x + 1. 3+ 54 3-2-141 2 3 4 5 -2 -3 -5 If g(x) = f(t) dt, what is g' (4)...

A: Given  f(x) = 2x+1  and  g(x) = ∫0xf(t) dt.

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Q: Find the derivative of y with respect to t. y= sin(6t)

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Q: Find the local maximum, minimum and saddle points of the function using the second derivative test +...

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Q: find the difference quotient for: F(x) = 17x2 - 13x

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Q: What is the future value of $1,540 invested for 5 years at 5% interest compounded monthly? Round you...

A: The future value formula of compound interest isFV=PV1+rnntt: the time r: the rate, (in decimal form...

Q: Solve the separable differential equation dy 7y, dx and find the particular solution satisfying the ...

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Q: 3. Using Newton- Raphson method, find the real root, correct for three decimal places, of the equati...

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Q: *Related Rates dy dx A. Directions. Find the required values of and assuming that x and dt dt y are ...

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Q: Consider the area of the region bounded by the curves y = 2x - 3x – 9x and y = x - 2x2 - 3x. If A, s...

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Q: 19) y= 2) y= [(3a?+22) (x -2)]

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Q: 6. у" — 2у' %3D 5

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Q: SDT. Let f(x) = 2x- 39x + 240x + 96. Classify the critical point x = 5 of f(x) using the Second Deri...

A: topic - application of derivatives

Q: Consider function f graphed below. (a) Find the Net Change of f between x =-1 and x = (b) Find the A...

A: Given query is to find net change and average rate of change bfir the function.

Q: Find the volume of the solid whose base is the region in the first quadrant bounded by y = x°, y = 1...

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Q: Find the directional derivative of the function at the given point in the direction of the vector v....

A: g(s, t) =st(a) The gradient is just the vector of partial derivatives. The partial derivatives of g ...

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Q: What is the general solution to the differential equation (2xy - y² + y)dx + (3x² - 4xy + 3x)dy = 0 ...

A: 2xy-y2+ydx+3x2-4xy+3xdy=0

Q: Use the Quotient Rule to find the derivative of the function. (e) = Cos(t). f'(e) =

A: Given: f(t)=costt5

Q: Given: f(x) = 1/x, find f(0.01+h) - f(0.01) / h

A: f(x) =1/x 

Q: dederma ie agle ot rotabrea in stendad fomm 13x? -GJB•XY +7y% -16=0 Xy +7y-16=0

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Q: Find the derivative of the function. (e) = (3t + 18)2/3 f "(t) =

A: dat+bndt=n.a(at+b)n-1 d(c)dt=0 , where , 'c' is constant.

Q: Butterfly : r7(t) = (6 cos (; t),6 sin (Ft),t+1) %3D Wasp : r¿(t) = (t² – 9, –2t² + 12,3t² – 23) 5. ...

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A: Solved below

Q: For what value of k will the function g(x)=x^4+kx^2 have a remainder of 20 when divided by the facto...

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Q: 3xy If z determine 2x - 3y

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Q: 9. y' + xy = xy3 10. y' = y - xy³e-2x

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Q: 6. Evaluate any 5 of the following 6 integrals. 1 dx 2+1 dr gª +1 (a) (b)

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Q: y=

A: Topic = Derivative Aspe guidelines , at a time only one question can be answered.

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