Q1: To integratef 6x + 8 dx we substitute a)x = sec 0 + 3 b) x = tan 0 + 3 c)x sec 0-3 d) x 3sec 0 Q2: If x = 2sine, SOs, then cot 0= b)- %3D

Q: 1 an 1 Use the transformation u = 2x+ y, v=x+ 3y to evaluate the given integral for the region R…

A: Given

Q: 2. Find the second derivative for the following set of parametric equations. = t° – 4t3 y = t?

A: We have to find the second derivative of the given equation.

Q: n) Given that SinX=2/7, and X is in quadrant 2, find all 6 trig values of x

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Q: Activity 2. Answer the given problem. The population P(t) of a bacterial colony t hours after…

A: We have to find population of bacteria at t=12 hours.

Q: sin(x²) ate lim 1+0- e2r – 2x – 1°

A: zero by zero form then apply L hospital rule

Q: A particle is moving along a horizontal path which starts at a distance of 5 ft to the right of a…

A: Let's find.

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

A: We can find the equation of sphere as below.

Q: 4. Find the moving trihedral of the curve f(t) at the indicated value: †(t) = cos? t î + sin² t ĵ…

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Q: Write the sum using sigma notation: 8 +5+2+... + - 1 i = 1 Question Help: DVideo MMessage instructor…

A: topic- arithmetic sequence

Q: h) Write an equation for a function with roots: 5, -7, 0 Write an equation for this same function if…

A: Solving the problem by finding the equation.

Q: Question 8 Use differentials to find the approximate value of y: (2x 1)* when x = 0.98. O 0.88 O…

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Q: Determine the Laplace transforms of 3, 0 12

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Q: Convert the following decimals to fractions and vice versa. Do not simplify. 1. .9 = 2. .55= 3.…

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Q: Activity 3: 1. ſx²dx 2. SVx?dx 3. S(x³+x²)dx 4. SVx*dx 5. fx-2dx 6. S tan?x dx 7. S(1 – cos u)du 8.…

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Q: Assume that the radius r of a sphere is expanding at a rate of 10 cm/min. The volume of a sphere is…

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Q: (iii) Extremum point(s), (iv) The interval of concavity, (v) Inflection point.

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Q: In a race, Molly starts running from rest at a constant acceleration of 3 m/s². She is running in a…

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Q: Find * L-1{ 52-4s+13

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Q: 2n + 3 2n+3 Let 2 4" and an n=1 an+1 a) Find lim n+ 00| Un 2n+3 b) Determine whether 2 is convergent…

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Q: A. Find the area of the plane region bounded by the given curves 1. y = x, y = 2x, and x + y = 6…

A: Given :   y=x y=2x x+y=6

Q: In Exercises, the given vectors form a basis for a subspace W of R' or R'. Apply the Gram-Schmidt…

A: The given vectors of ℝ3 are: x1=110, x2=342

Q: 3dx xV4-x?

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Q: (iii) y= x'e**, y = sin x+eec* (iv) sec x

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Q: +00 Q11: Given that f f(x)dx = 1 where f) - x>0 . The value of c is %3D ISO a) + b) 1 c) - 1 d) 3

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Q: (b) 2+ 5y = 2, y(0) = 0 dt

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

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

A: To find the length of the diameter use the distance equation Therefore, D=-2-(-1)2+0-22+5-32…

Q: Trigo nometic substimhon - x"

A: A detailed solution is given below.

Q: ∫x+2x√3−6x32x  dx∫x+2x3−6x32x  dx = ∫3sinh(lnx2)  dx∫3sinh⁡(ln⁡x2)  dx =  ∫69+x2  dx∫69+x2  dx =

A: As per bartleby guidelines we only give first three question answers.

Q: Given the demand function D(p)=275−2p^2 Find the Elasticity of Demand at a price of $2

A: We have to find the elasticity of demand at price of $2.

Q: 1. Find the area bounded by the parabolas y? = 4 and y²+12x = 36 2. Find the Area bounded by the…

A: Given :     Curves and find area by integration

Q: Use the method of disks/rings to determine the volume of the solid obtained by rotating the triangle…

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Q: Basic Catalus 1. f(x)- f(xth) = 5 (x +h) - Sx - 3 lim 5(x+h)-3- [5x-3] = lim 56 +5h -3 - 5% +½ h-70…

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Q: Assume that the radius r of a sphere is expanding at a rate of 70 cm/min. The volume of a sphere is…

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Q: 1. Find the area bounded by the parabolas y= 4x and y'+12x = 36

A: Topic:- application of integration

Q: 4. What is a true error ? A abs (True Value - Approximate Value) B. abs (Present Approximation –…

A: topic- Errors

Q: Find the plane determined by the intersecting lines. y = 2+2t y = 1+ 2s z= 1- 4t L1 x= - 1+t L2 x=1-…

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Q: II. Find the Inverse Laplace of the following 2s-9 d. s2 +2 1 е. (s²+1)(s²+4s+8)

A: We have to find the inverse laplace transform.

Q: 2r 2r If the total volume of the cylinder and square block is 30 cm', express h in terms of r.

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Q: Given the vector i = (2,0, 1). (a) Solve for the value of a so that u and o= (a, 2, a) form a 60°…

A: Given the vector u→=2, 0, 1.a To solve for the value of 'a' so that u→ and v→=a, 2, a form a 60°…

Q: What are the two values of k closest to -7 for which , sin2 (x +7)- cos2(x +7) da has a value of 12…

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Q: Question 3 (- whether it is convergent or divergent (show all ) Test the following series your…

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Q: Find the sum of the first 100 terms in the arithmetic series 1+2+ 3+4 + ... + 100.

A: To find the sum of first 100 terms of given arithmetic  series.

Q: 2r 2r If the total volume of the cylinder and square block is 30 cm', express h in terms ofr.

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Q: sin x ferentiate y = (x² + 1)°

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Q: The series E- an is divergente then the series E(an)* is also divergente k31 Select one: True False

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Q: Solve 4 cos (x) 13 cos(x) – 12 = 0 for all solutions 0 < x < 27 I = 138.6 Give your answers accurate…

A: Let's find.

Q: 00 5 converges or diverges. If it converges, find its sum. 3m Determine whether the series > m= 2…

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Q: 2. Suppose the symmetric equations of lines l1 and l2 are 2 - y = z and x = -1. respectively. (a)…

A: given (x-1)2=(2-y)=z.......L1let  x-12=y-2-1=z=t   x=2t+1y=-t+2z=t a1,b1,c1=(2,-1,1)…

Q: What are the two values of k closest to - 4 for which S, sin? (x + 4) – cos2 (x + 4) dx has a value…

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Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. - 14n…

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