3. f(x)== 4. f(x) = + 1

Q: (d) ſ tan² 3t dt 5 cos? x – 3 tan x dx - (e) S cOs X

A: The integration of the integrals is d) tan2(3t)  e) (5cos2x-3tanx) /cosx

Q: (x+y–1)dx+(2x+2y+1)dy=0 Coefficients Lincar in Two Variables: %3D

A: The given equation is: (x+y-1)dx+(2x+2y+1)dy=0⇒dydx=-x+y-12x+2y+1⇒dydx=-(x+y)-12(x+y)+1...(1)

Q: In the differential equation (2x+3y-5)dx+(3x- y-2)dy=0, the lines 2x+3y-5 =0 and 3x- y-2 =0…

A: This question can be solved using the concept of solving two linear equation.

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: 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: Sx? cosh 5xdx

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Q: find the derivative of y=4x^2+4x+1

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Q: why did we put x = 1? the final answer i got is 49/e, please double-check

A: After double checking the detailed solution is given below

Q: b) f(x) = x2-x %3D x²-1

A: To find out where the function is discontinous.

Q: 1. Find the volume of the solid of revolution generated by revolving the region bounded by y = x?…

A: Given problem:-  Find the volume of the solid of revolution generated by revolving the region…

Q: What is the area of the enclosed regions in problem number 3?

A: We can solve this as follows:

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

A: Trapezoid rule

Q: 12 - r), 2. Suppose f(r) = {0, if r> 2 if r = 2 |4 – 2*|, if r < 2. if r< 2. (a) Find lim f(z). +2+…

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Q: 7. Evaluate sin xcos x dx. cos* x +C 4 1 C) 4 sin* x A) +C 1 sin* x B) 4 cos* x +C D) +C 4 a O c O d

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Q: Change the following polar equations to rectangular form. Show work 6. 2. r = 13. r= 5cos0 4-cose…

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Q: (iii) Find the angle between the vectors. a = 8i – j+ 4k, b= 4j+ 2k (iv) Find the volume of the…

A: Given a=8i-j+4k, b=4j+2kTo find angle between two vectors:

Q: f has a local minimum when x = -2

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Q: 13. sin? 4x cos² 2x dx T/2 14. S sin? x cos³ x dx

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Q: The curve r= 1- sin( has a slope at 0 2n equal Select one: O1 and the graph is symmetric about…

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Q: Find T(t) and N(t) at the given point. r(t) = (t – 2)i + tj; t = 2 4 i+j T(2) : V5 N(2) = i

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Q: 10. Determine whether the given dx convergent or convergent? a. converges to o Page. b. diverges to…

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Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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Q: Use the Root Test to determine whether the series convergent or divergent. n² + 8 " 3n2 + 2 n- 1…

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Q: ) Use the Integral Test to determine whether the series 1 is convergent or divergent. n=1 (3n – 1)?…

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Q: लि dx dx 3. case 2 (x + १) १/

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Q: (yt + y)dy + ty dt = 0.

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Q: Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and…

A: We have to find the lower and upper estimate.

Q: Solve for x and y the following system of simultaneous equations 2 In(x) = In(y) + In(16) e*e = e*…

A: We have to find the values of x and y.

Q: A rectangular garden is fenced on three sides, and the house forms the fourth side of the rectangle.…

A: Explanation of the answer is as follows

Q: Convert to a rectangular coordinate. 5T – 4, 10. -

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: THE

A: Please refer to the image below

Q: (2 C/2x-x² 30. Vx² + y? dy dx Jo

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Q: Calculus Question

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Q: 13 Fimel thenadiuy.of.commergene afthe serves Σ 2m+2)(2mq4)

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Q: Please clarify the answers.

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Q: help

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Q: 2" n3 Σ 4"+1 n=1 is convergent or divergent.

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Q: Express cos (a) in terms of cos(2a). Express sin (a) in terms of cos(2a). cos²(a) Choose... sin?(æ)…

A: Let's find.

Q: (d) tan 꽃 3

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: If a line is parallel to the vector 8i + 5j + 3k and passes through the point P = (6,2,4), then the…

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Q: C) Find a z and of xy" ay (xy2) - -군3 COs %3D

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Q: Find an equation of the sphere whose endpoints of a diameter are (-2, 0, 5) and (-1, 2, 3).

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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: what is the growth rate of the cells after 6 hours has gone by

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Q: . Evaluate cos 0 if sin 0 = -1/4 and 0 is in quadrant II

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Q: 7. Determine whether the given integral is convergent or divergent dx? '1 x²+1 a. convergent b.…

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Q: A. Evaluate the following integrals. 1. S(Vcos x + sin x)´dx 2. S cos³ 3x dx 3. S tan5 2x dx

A: To evaluate the following integrals.1 ∫cos x+sin x2 dx2 ∫cos33x dx3 ∫tan52x dx

Q: Arcsin(x/y) = 4x + 3y

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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: 1. Coefficients Linear in Two Variables: (x+ y-1)dx+(2x+2y+1)dy=0

A: