Evaluate: f 3√ dx √(3√ +2) In (3√ +2) O None of these 2 ln | In (3√ + 2) + C O2ln(3√² + 2) + C In O2 In 3 Ƒln | ln(3√ª + 2)| + C In

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A: Given f(x)+x5f(x)3=2052

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A: Since you have posted multiple question in this question which are not interlinked so i have solved…

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Q: Find the solution of the differential equation y(t) = 1 t { x + + + ² ( ² ) * - ** (²) * <4 sec y =…

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Q: s Find all values of x that satisfy 1 x-1 ≥100. Use interval notation to answer. Show all work.

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Q: 2 Y = x ²² - K² K is a constant X² + K² K is

A: Topic- derivative of a function we are given y=x2-k2x2+k2and we know thatddxuv=vu'-uv'v2ddxxn=nxn-1

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A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

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Q: Find y' if y= - 14 3 X

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Q: lim x→∞ 524+45 x¹ x¹ - x² + 5

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Q: Find the distance from the point (5, 1, 8) to the line à(t) = ( − 3, 4, 1)t + (1, 3, 6) .

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Q: Find an expression for the inverse of f(x) = e³x+1. f-¹(x) = 4

A: Topic- functions and inverse functions We are given, f(x)=e3x+1 we know that ln(ex)=x

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A: Let's solve given differential equation.

Q: dy For exercises 1, 2, and 3, find using implicit differentiation: dx 1. Prove (arccosx) = V d dx -1…

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Q: Question 8 v Find the derivative of: - 4x + 6x⁹

A: Given question:- Find the derivative of   -4x8+6x9 Topic :- derivative

Q: Box your Final answer with a complete solution. Then Graph, emphasize the Limit. 6. T²-25 x-1x²4x-5…

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Q: Sketch the interval (a,b) on the x-axis with the point c inside. Then find the largest value of 8>0…

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Q: Evaluate the integral. 2 X Jo x² + 4x + 20 dx

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Q: A bag contains 2 gold marbles, 7 silver marbles, and 25 black marbles. Someone offers to play this…

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Q: Experiments show that a colony of bacteria with sufficient food and no predators and with zero death…

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Q: (c) Find the equation of the plane containing points P, Q, and R.

A: Here we have to find the equation of plane.

Q: For f(x)=5x-1 and g(x)=x+1/5 find the following function (gof)(x) IF

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Q: For f(x)=x2+4 and g(x)=x2-4 find the following function (gof)(x)

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Q: 10. The 11 members of the badminton club line up for a picture. A) Determine the number of distinct…

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Q: Solve the given differential equation. dy = 2e ³xdx A) 6e³x + C B C) 2e³x + C D e³x + C WIN e³x + C

A: Given :dy=2e3xdx

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A: Please see the below picture for detailed solution.

Q: If D, E and F are three points on the sides BC, CA and AB, respectively, of a triangle ABC such that…

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Q: the answer for N and M are wrong. I need it redone, not the same one that was sent last time.

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Q: 2 √ūdu = ²√ūd 2² √ua Making the substitution u = =x2-1 in the integral 2 [₁² x √x² - 1 da [²√ Select…

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Q: Use integration by parts to show that for n ≥ 1, we have [(lnx)" = x(lnx)" − n [(lnx)^-¹ da.

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Q: f(x) = 3(1-sin x) 2 cos x

A: Given, f(x)=3(1- sin x)2 cos x

Q: Using lim 0-0 lim t-0 lim t-0 sin 0 Ө = 1, find the limit. 4t²-3t+2 sint 7t 41²-3t+2 sint 7t =…

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Q: Solve the differential equation. dy + 5y dx = e-5x dx A) y = 5x + ce-5x B) y = e-5x (x + c) (C)…

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Q: Solve the following differential equations. dy 9. 10. 11. dx dy dx dy dx = x³ + 2x 31X == = 4 cos 6x…

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Q: Do not use technology. Evaluate each limit analytically. (a) lim (b) (c) (d) h→0 lim h→0 lim h→0…

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Q: Question The position of an object moving along a straight line after t seconds is modeled by the…

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Q: Approximate the zero(s) of the function. Use Newton's Method and continue the process until two…

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Q: Solve the differential equation. dy COS X + y sin x = sin x cos x dx A y = cos x In | sec x | + C…

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Q: Let F(x) = f(x7) and G(x) = (f(x))7. You also know that a6 = 5, ƒ(a) = 3, f'(a) = 2, f'(a¹) = 11.…

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Q: The vector u = (3296, 1472, 2262) gives the numbers of hamburgers, chicken sandwiches, and…

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Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

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Q: if y Inu and u = = 4x-1 4x+1 Apply Chain Rule to find dy dx

A: Given  y = ln u  and  u = 4x-14x+1.

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Q: Find dy du and du dx (a) y = u³ and u = x² + 2 dy du du dx dy dx (b) dy du du dx dy dx II 11 || y =…

A: Given, y=u3 and u=x2+2We know…

Q: The median home price in the United States over the period January 2010-January 2015 can be…

A: Topic- Application of derivatives we are given P(t)=4.5t2-15t+180 where P(t) represents median home…

Q: 1. lim 1-3 √x+1-2 x²-9

A: Topic:- calculus

Q: I thought the Area of Sector is  A = 1/2 r^2 theta Is this the same formula or different formula?

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Q: dy Use Implicit Differentiation to find dx 5. 4cosxsiny = 1

A: Given, 4 cos x sin y=1

Q: 39. Postage In 2014, it cost $0.98 to send a large the United States for the first ounce, and $0.21…

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Q: d³y) dxs Differential Equation + 4x 2 dy dx +5: dx³ (x y")6+ (y')5 - 15y = 3 [(y)² + (y)³]² - 5 = 0…

A: To find the order and degree of differential equations.