Let f and g be functions that are differentiable everywhere. If g is the inverse function of f and if g (-2) 5 and f' (5) -1/, then g' (-2) =? O O O 1/1/3 O 2 -2 01/12 = =

Q: find derivative arcsin(2x) log5(3x2+4x)

A: (1) y=arcsin⁡(2x)

Q: action with the graph below. 10+ 8- 8 6 4 2 6- 2 -44- -6- -B- -10 10 57 X=

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Q: Evaluate the limit sin 8r lim H 0 sin 2x

A: Limx-0 sin(8x)/sin(2x)

Q: Consider the function f(x) = x² + 2x - 3 x-4 a. Find the first derivative. f'(x) b. List any…

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Q: (a) What is the equation of the plane passing through the points (1, 0, 0), (0, 3, 0), and (0, 0,…

A: We find a) The equation of the plane passing through the points (1, 0, 0), (0, 3, 0), and (0,0,4).b)…

Q: Find f(x) if y = f(x) satisfies dy dx e¯½ f sin x and ƒ (7) = ²/

A: Given the experience  and y=f(x) we have to find the solution f(x) by the condition

Q: 4. Solve, x+3 11 = 3 x + 8

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Q: the system of equations corresponding to the augmented matrix. Then perform the row operations R₂ =…

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Q: lim x → 00 x² - 2x + 3 X +8

A: L=limx→∞x2−2x+3x+8

Q: Integrate the following: [√²+eda 1+ e dx

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Q: A ship's course is set at a heading of 192", with a speed of 30 knots. A current is flowing from a…

A: Velocity of ship is 30 knots with angle 192°And velocity of current is 14 knots with angle 112°. We…

Q: find the derivative a. f(x)=log5(3x^2+4x) b. f(x)= x / square root of 1-(lnx)^2

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Q: ∞ Write out the first few terms of the series Σ n=0 3 on (-1)^ 57 What is the series' sum?

A: Formula for sum of infinite G.P. = a/(1-r) Where, a = first term r = common ratio

Q: A ship's course is set at a heading of 192°, with a speed of 30 knots. A current is flowing from…

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Q: Find the derivative of y = 5 ln(x). y=

A: Given,We have to find derivative of y with respect to x.

Q: A concert promoter sells tickets and has a marginal-profit function given below, where P'(x) is in…

A: The marginal profit function is,Where x is the number of tickets.

Q: Evaluate the following determinant. Show all steps 2 1 -1 1 3 0 -2 2 4

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Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. lim (15x +…

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Q: Consider the following parametric curve. Answer parts a and b. 64 dx x = 4t+y=4t-t=4 a. Determine in…

A: The given parametric curve equation is

Q: y=xsin'' x+√√₁

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Q: x²-2x-5 (x²)(x-1)

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Q: Find F'(x) given S*** (6u + 4)du. Select one: a. b. C. d. e. F'(x) = 6 F'(x) = 4+6u F'(x) = 4 + 6x…

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Q: The surface area of a cube is increasing at a rate of 489.1 cm²/s. At what rate is the side length…

A: The surface area of a cube is increasing at a rate of 489.1 cm2/s.To find the rate at which the side…

Q: Determine whether the series converges, and if so find its sum. 1 (k+4) (k+5) (Enter DNE if the sum…

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Q: A man plans to retire in 30 years. While working, he intends to deposit money each month into his…

A: Here we have, FV=1000000 (future value)r=6.75%=0.0675n=12 for the monthly payment.t=30 years

Q: X Consider the function f(x) = x²-x+4' The absolute maximum of f(x) (on the given interval) occurs…

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Q: Consider the following. f(x, y) = 4x - 2y (a) Find f(4, 5) and f(4.1, 5.05) and calculate Az. f(4,…

A: Consider the function

Q: Practice 1: f(x)=√x X+1 fferentiate and simplify your answer:

A: The given function is

Q: Locate the critical points and identify which critical points are stationary points. f(x) = 6x4 -…

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Q: Sketch the region of integration, reverse the order of integration, and evaluate the integral. ܐ ]]…

A: I=∫011∫y11x2exydxdy

Q: 18. The graph of the function f shown in the figure to the right has a vertical tangent at the point…

A: A graph of the function is given.The aim is to find the points in the interval  for which  is not…

Q: 3. Solve. 2 즐기 3 - X - 5 > 7

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Q: Find an equation for a polynomial with long run behavior g(x)=-x^4 whose only intercepts are…

A: To find the equation for a polynomial.

Q: (g) y = (x +3)10(x +1)(3–5r). (h) y = (cos x)".

A: To find the derivatve of each of the following functions.

Q: s, is in metres, and t2 0. Find the acceleration of the car at the instant when the car reverses…

A: To find the acceleration when the car reverses direction, we first need to determine when the…

Q: Find a formula for the nth term of the following sequences: а (a) ... an (b),,,... bn Assume a…

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Q: Solve 11 (ex) ¹¹e13 + 6x = 4 5In (3) 17 5 In(3) +- In(3)- 19 11 243 13 17 13 6 +5 In(3)

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Q: find the derivative a. f(x)=[ln(5x^2+9)]^3 b.f(x)=ln(5x^2+9)^3

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Q: (b) y = arccot (cos)

A: The given functions (b) (c)

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

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Q: a) Find an equation of the tangent line to the curve at the point corresponding to the given value…

A: Consider the parametric curve

Q: 4. x4 (²x²-x²³-1-1 + 0 dx

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Q: A manufacture has been selling 1000 television sets a week at $450 each. A market survey indicates…

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Q: Glorious Gadgets is a retailer of astronomy equipment. They purchase equipment from a supplier and…

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Q: Find the local maximum and minimum values of fusing both the First and Second Derivative Tests. (If…

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Q: Find the volume of a pyramid with height 25 and rectangular base with dimensions 2 and 11 using…

A: Let h be the height of the pyramid, l and w be the length and width of the pyramid..

Q: Find equation of the tangent to the curve at the given point x=sin(πt), y=t^2+t; (0,30)

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Q: 2. 1 √49 - x² 后 dx

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Q: 1. If f(x, y) = 3x + 7y2 and u = 3i+ 4j, find the directional derivative at point (1,1).

A: f(x,y)=3x+7y2u=3i+4jPoint (1,1)Find the directonal derivative.

Q: Rewrite 243-7x and 1 81 17x 13 in the form 3kx

A: