Find the limit. NOTE: Enter the answer using round brackets. t² +4 1 = lim t→+∞0 (?, ?) 4t² +5't

Q: 5 [x²² sec (2) com ³ (2) abr dx 7 2tan can ²2 ( 1 ) [7tan² ( 1 ) +1 + C (Α 77 11 7 2x + (-) == ² (7)…

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Q: dx x² - 2x - 4 sec 0 csc 0 S integrand is? (a) (c) √5 is solved by trigonometric substitution, the…

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Q: The demand for a product is given by D(x) = 150e-0.025x, where x is the number of units sold each…

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Q: Find the antiderivative F(x) that satisfies the given condition. F'(x) = 4ex - 5x²; F(0) = 10

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Q: dx If S = is solved by trigonometric substitution, which of the following x² - 2x - 4 substitutions…

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Q: Find the exact value of each expression by applying trig formulas (Addition and Subtraction…

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Q: Find F'(x). +2 x+² (4t + 1)dt a. F(x) = b. F(x) = ft³dt sinx c. F(x)=√t dt d. F(x) = f sin t² dt e.…

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Q: 12 If [" f(x) dx = 19 and ' [₁ f(x) dx [R²F(x) f(x) dx = 4, find the following.

A: We can answer the question as below using the properties of definite integral.

Q: Find the amount of money that will be accumulated in a savings account if $5125 is invested at 6.0 %…

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Q: Using integration by parts, Then k is? (a) - 1.5136 [x² cos(x²) dx = k - [*x sin(x³) dx fx 0 (b) -…

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Q: B 0 Consider the integral f sin-¹x dx. If we let u = sin ¹x and dv = dx, the integral can be written…

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Q: a cone-shaped paper drinking cup is to be made to hold 27 cm3 of water. Find the height and radius…

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Q: Find the radius of convergence, R, of the series. n Σ -(x + 8)n 30 n=1 R= Find the interval, I, of…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Graph the function and then find the specified limits. When necessary, state that the limit does not…

A: In this question we have to find limit of the function and check discontinuity.

Q: A particular country's exports of goods are increasing exponentially. The value of the exports, t…

A: Given :

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Q: Find E (p) for the price demand equation and interpret the results. x = f(p) = 1200(50p) where p-$28…

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Q: r(x, y) = ln(x + y) w = x sin(y) + y sin(x) + xy

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Q: Find all real solutions of the equation 2g² = 50. Write your answers as a list, using a comma to…

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Q: Test the series for convergence or divergence. n 6n n=1 Use the Select and evaluate: lim n→∞…

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Q: 22-12x x²(3x² - 10x-8) To solve - for this integral? a dx partial fraction is to be employed. What…

A: Partial fraction

Q: Use the information given below to find sin (a-³). 12 tan a = with a in quadrant III I 5 3 cos B =…

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Q: A function f(x) is said to be continuous at x = c if the following three conditions are satisfied:…

A: Solution is here

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A: Given that : x= etcost and y=etsint and z= et for t=0.     Here i attached the solution of this…

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Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r =…

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Q: 4. Evaluate the following sin(x)cos(2x)sin(3x) dx sin(3x)cos(3x) sin(2x)cos(2x) 12 sin(2x) sin(2x)…

A: Solution: ∫sinxcos2xsin3xdx

Q: Evaluate the integral. (Use C for the constant of integration.) / G 6.9 + +0.5 +0.5 5ex dx 6 -

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Q: e) x² Cos y - £ + 2 dx = 0 dy (9²-4) (x-1) = (x+)) dx ay g) y² e²^¹ = cosh x + √eosh ²x -1 +7 e ² y'…

A: As per our guideline we are supposed to answer only first question of a multiple type of questions.…

Q: 91_در lim 2-3 z²+4z-21 LIMIT VALUE: lim 2--1 LIMIT VALUE: lim (x³ +7x² - 2x + 4) 2-2 LIMIT VALUE:…

A: Solved below

Q: [x-²sec (an ² (2) dx 7 2tan ²2 (²) - 7tan² ( 1 ) - ₁ X + C 77 11 2ten* (²) 2³(-).c 2tan X - + +C 11…

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Q: 3) w=2ye* -In(z), x = ln(t² +1), y = tan ¹(t), z = e¹, at t = 1

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Q: Let z+5 f(x) x+7 f¹(-6)= A

A: Topic:- function and it's inverse

Q: 15x²x³43x - 19 can be rewritten as (x + 1)²(x² - 6x +13) Ax + B C D Slax ² + + lax² + bx+c (mx + n)t…

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Q: dp p(-75+25p²) 2 S. Trigonometric Substitution

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Q: Given sin(a)= and a is in quadrant II and sin(3) = and B is in quadrant II. Use sum and difference…

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Q: dx 1+tan x

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Q: Using partial fraction in evaluating A 6-2x B 2x-6 © - ²7/ 1/1/2(2x + 1) = 7/7/2 Ⓒ - 1/2…

A: Solution of given question is written in below steps.

Q: lim √xe/2 x →∞

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Q: Find the radius of convergence, R, of the series. - Σ (−1)n (x − 6)n 6n + 1 n=0

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Q: r₁(t) = cos(t)i + sin(t)j +5tk, r₂(t) = 4i + tk X d -=[r₁(t) · r₂(t)] 10 t - 9 sin(t) = dt d -[r₁(t)…

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Q: af du (a) f(x, y) = sin-¹ (b) f(x, y): = x+y (c) f(x, y) = In ( t = 1 and u = 2 af and where Ət 2.…

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Q: A clothing business finds there is a linear relationship between the number of shirts, n, it can…

A: Topic:- linear function