3. Evaluate: lim -) X-0 sinx

Q: I would like to ask how 00 became 1? I think it is undefined.

A: Given;  Limx-0+Sinxtanx.

Q: .3 4 cos³ 4y /sin 4y dy

A: To find out the integration.

Q: dx 4–3x²

A: integration

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Q: Please clarify the answers.

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Q: For the following function, find its inverse. f(x)= In(5x – 8) - a. f'(x)= (e* - 5)/9 b. f'(x)= (e*…

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Q: How did he get the second derivative step by step and a clear line please 3 -X- Fex) = I+e sinu x…

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Q: Use back-substitution to solve the system of linear equations. X - 2y + z = 5 y + z = 8 Z = 3 (х, у,…

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Q: In the last 4 line, where is the ^2 in the ln part?

A: The given integral,      ∫13arctanx dx

Q: For the function x-3 f(x) =: 2x +5 Determine coordinates of the y-intercept of the inverse function…

A: We can find the inverse function and the required answer as below.

Q: Fill in the missing correct answer to simplify the given complex fraction. 1 4 x2 Complex Fraction:…

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Q: 1+x² -dx

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Q: how is the irrational zero found?

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Q: The integral of the given function cos xdx is equal to а. 1 b. 2 С. -1 d. 3.1416 e. None of the…

A: We know that the integration of cosx is sinx then use the limit and calculate it. Option a is…

Q: ) Solve ac-4xdx+ xly=0 using the integrating factor M= to

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Q: ii. lim g(2) – 5 iii. lim g(x) 5 I--0 iv. g(0) — 5 v. lim g(x) →-17 vi. lim g(x) vii. lim g(x) PEN…

A: limx→a f(x) =L if and only if limx→a- f(x) =limx→a+ f(x) =L Note : As per our guidelines we can…

Q: 2. In the differential equation (x – 4y –9)dx+(4x+ y – 2)dy = 0 , the lines x- 4x + y- 2=0 intersect…

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Q: Find the definite integral o tan(x)dr using strips of width for the trapezium rule correct to three…

A: Trapezoid rule

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Q: Evaluate the following integrals. Use only the variables "u" (and "v" if applicable) in your…

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Q: It has to be one of the answer options.

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Q: please use the method of Miscellaneous Substitution

A: Here  We will use miscellaneous Substitution instead of partial fraction.

Q: There are two lines through the point (−1, 3) that are tangent to the curve x^2 + 4y^2 − 4x − 8y + 3…

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Q: . Evaluate sin 0 if cos 0 = 2/5 and 0 is in quadrant I. %3D Evaluato 000 A if

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Q: 32) sec 0 O in quadrant IV Find tan 0. 9. cos 0 <0 4 33) cot 0 Find csc 0.

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Q: cos-1 x dx cos х ах

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Q: 3. If 100x units of a particular commodity are demanded when p dollars is the price per unit, x² +p²…

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Q: is that a letter "u" in after the d?

A: ∫xn dx = xn+1n+1+C ; x≠1. Note : In your query , there is a letter 'x 'after the 'd' not 'u' .

Q: Sketch the graph of f(x) = -3r³ – 4x² + 6x – 2 by following the steps in %3D sketching the graph of…

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Q: x +1 -dx x3 +1

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Q: Directions: Read carefully and solve for what is asked in each problem. ds 1. Given the velocity v =…

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Q: -2 is a critical number of the function - Vir - f(x) = 2x x2. Select one: True False

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Q: 1 (tan x + cot х) sec x %D 1/cosx 1/sinx 1

A: Given query is to find the correct option for the expression.

Q: 1. Find the volume of the solid generated by revolving about the indicated axis the area bounded by…

A: We can solve this as follows:

Q: 8., (x + y) dA, where R is the region that lies to the left of the y-axis between the circles x? +…

A: As you have asked to answer question 8, we will answer question 8.Question 8.The given integral…

Q: . For what value(s) of c is f(x) = 54-x³, x < 3) %3D lcx² + 13, x 2 3) continuous everywhere?

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Q: Find the slope of the line tangent to the conic section 25 (х-2)2 (y-6)2 = 1 at (2,10). 16

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Q: Express the circle specified by x = 2 cos(0) y = 1+ 2 sin(0) in Cartesian coordinates and find the…

A: Given:x=2cosθ and y=1+2 sinθWe need to express the circle in cartesian coordinates.

Q: The integral of the given function J_1 Jœ+2X3=x) dx is equal to a. Arcsin 0.2 + Arcsin 0.6 b. Arccos…

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Q: d Calculate ri(t) · r2(t)] and r1(t) × r2(t)] first by differentiating d dt dt the product directly…

A: We need to solve differentiation problem.

Q: why

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Q: 3a-6 Differentiate y= csc =CSC 5z2+9 A g' = cot() cse () ( ) B. y' = - cot() csc() ( ) 3x-6 522+9…

A: Given: y=csc3x-65x2+9 As we know that; The Quotient rule: fg'=f'·g-g'·fg2 The Chain rule:…

Q: Let i denote the square root of – 1. For the two complex numbers z = 3e and w = 6e'5 find z. w. Give…

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Q: What are the local extreme values of the function f(x) = = x' + 6x + 2? a. Local maximum at (-2, 6);…

A: The given function is;  f(x)=x3+6x2+2.

Q: find the dimensions of a rectangular plot of land such that the perimeter is 80 meters and the area…

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Q: Question 3. Motion with Gravity: su Neglecting air resistance, the motion of an object moving…

A: Let's find.

Q: H.W : The region bounded by the curve y= x² and the line y=3x is revolved about a) x-axis b) y-axis…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: 3. Evaluate: lim X-0 \sinx 4. Using the binomial series, find the power series of f(x) =

A: We have to find the limit of a function and find the expansion of 1/x

Q: Consider the function f(x) = (c) Find the intervals of concavity and the points of inflection of f.…

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