2. dx tanx 4t² dt

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A: Please refer to the image below

Q: Evaluate the integral by interpreting it in terms of areas: [*(5-32) dx =

A: Lets sketch the graph of  f(x) = 5-3x and add the vertical lines x=0 and x=4  we get

Q: 13. Let ƒ(x) = 1 3 1+(3x+2)² 2√√3x +2 Find f (17). 12

A: The given function, fx=11+3x+22.323x+2 we have to find the value of f-712

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Q: 4. Find f '(0.5) for f(x) = [Arc tan(t)dt - Arc ta O 0.8 0.131 O 0.120 O 0.464

A: The function fx is given by fx = ∫0xArctantdt To evaluate: The value of f'0.5

Q: Simplify tanx (cscx sinx). A B D 0 1 sinx COSX

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Q: Which differential equation follows the form y'+p(x)y=q(x)? A (В E dy dx dy 4-+y=6x dx - 3xy=4y² dx…

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

Q: 2. lim t-2 t²-7t+10 t-2

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Q: X f(x) f(x) = Complete the table. (Round your answers to four decimal places.) lim x-0 √x+7-√7 X X…

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Q: In(√3) e dx 1+e²x A) tan-¹(3)-tan-¹(e) C) tan-¹(√3) E)-tan-¹(e)

A: Given integral: I=∫1ln3exdx1+e2x   Let, u=ex Then, dudx=ex So, exdx=du Now, the lower limit becomes:…

Q: The function f(x) is continuous on the interval [-1,3]. The table below gives some of its values.…

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Q: y = x ² √√9-x² = x²(9-x²) ¹/2 WwS =/0²7 xF-P y² = x² [² (9-x²) ²¹/²2 (2x)] + (9-x²) ¹2 (2x)

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the following limits. √x-3 X-9 x-9 1. lim t²-7t+10 2. lim- t-2 t-2 3. A function f(x) satisfies…

A: Since, you have posted multiple questions, as per guidelines, we"ll solve only first three…

Q: Sketch the region and find its area. The region bounded by y = -8 00 8 Y -00 X 36 9+x² Calculate the…

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Q: Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify…

A: The Solution is given below

Q: Question 1 Define Q as the region bounded by the functions f(x) = x and x = in the first quadrant…

A: Volume of solid on revolution around y-axis  is given by V=π∫cdf(y)2-g(y)2dy  where c≤y≤d

Q: What is the best substitution to make to evaluate S O u = 3x Ou = e³x u=1+e³x Ou = e-3x e³x 1+e³x dx…

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Q: ] 8. In a company telephone tree, each employee is to phone two other employees. In the first round,…

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Q: 14. Evaluate to 4 decimal places: csc 153°

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Q: 12. Find the area under the graph of f(x) = e-In(x) on the interval [1, 2]. O 0.5 O-0.5 O 0.693…

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Q: Find a,b to continue the function at x=3 if: ax + b f(x): = 2ab + 1 bxa + 3 x > 3) x = 3 x < 3)

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Q: Э 8. yx U(r) =

A: We want to plot the graph of U(r)= 1/r.   It means U(x)= 1/x

Q: Find dy/dx fc (1) y = x³ Inx ,,2

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Q: 4. Given f(x) = x² +3 and g(x) = -3x + 11, find the following a. f(g(3))

A: Concept: Composition of function: A function is composed when two functions, f and g, are used to…

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Q: Question 2 Nontando kept water bottles in a rectangular box with ice cubes in order to sell them to…

A: To find out the diameter of the water bottle in millimetres.

Q: 30. F(x) = [sin(t²)dt . Find F '(1).

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Q: 1. Prove if the given DE is exact or non-exact and find its general solution. (2xy - 3y)dx + (x² –…

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Q: Write the interval of continuity for the function below: tan(cos(x)) log6 (7) f(x) = for 0x< 2π

A: The given function is: f(x)=tan(cos(x))log6xπ

Q: Given f(x) = 5x² - 10x + 8, find the average rate of change of f(x) on the interval [2, 2+ h]. Your…

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Q: 13. Find the area of the region bounded by the graphs of y = x, y = -x + 8, and y = 0

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Q: List the x values of the discontinuities of the function: 4 1+ e4/r y = X =

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Q: You are calculating a tip on a restaurant bill. The service was good, so you would like to tip about…

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Q: 16. f(x)=-3x¹(x+4) a. b. C. d. 0. lim x--1 f(x)= lim 11-1 /(1) lim lim lim 1172 f(x) =

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Q: -22 the x-axis, x=-1, and x = 1. Use Define R as the region that is bounded by the graph of the…

A: The region R is bounded by the graph of fx=1-x22, the x-axis, x=-1, x=1 The solid is formed by…

Q: Find f(x) + g(x), f(x) – g(x), f(x) · g(x), f(x) = 5x - 9 g(x) = 7 - 6x (a) f(x) + g(x) (b) f(x) -…

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Q: Find c such that the function x ≤ c { is continuous everywhere. f(x) = x² - 3 X 6x 12 x > c -

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Q: Given that lim f(x) = 5 and lim g(x) = 1, evaluate the following. x→-1 x→-1 Give your answer as a…

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Q: thrown

A: Please refer to the image below

Q: 1. fx² sec x³ tan x³ dx

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Let C be the positively oriented circle x² + y² = 1. Use Green's Theorem to evaluate the line…

A: Greens theorem

Q: In Exercises 13-22, find equations of the tangent plane and normal line to the graph of the given…

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

Q: Find the limit of the function lim x → − 6 ( 2 x + 12 /| x + 6 | ) .

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Q: Using continuity, evaluate the limit: - 1 sin(z + sin(x)) lim X→ -

A: Topic- Limits

Q: 1. h(x) = √4x²

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Q: Consider a revenue function defined as R(x) = At what value of x is the rate of change of revenue at…

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Q: 17. f(x)=- a. b. C. d. lim lim (x-2) lim f(x)= lim x-2 /(x)= f(x) =

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