2n (b) E ens n=1

Q: Find the antiderivative, G(t), of the function g(t) = (3n²t² – t*)V3n² – t².

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

Q: Evaluate the following limits.

A: According to the company's guidelines weare supposed to answer only first three subparts.Kindly repo...

Q: Find the antiderivative, G(t), of the function g(t) = (5n²t? – t*)v5n2 – t2.

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: A number x is selected at random from the interval [4,20]. The probability density function for x is...

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Q: p(t) = −0.0064t2 + 1.059t −38.46

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Q: Find the derivative of the following trigonometric functions and simplify if possible. Box your fina...

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Q: Find A and B such that 2x-1/(x+1)(3x+2) = A/x+1 + B/3x+2

A: We need to find A and B.

Q: Round to the nearest tenth of a percent. Use the Approximate Annual Percentage Rate Formula.

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Q: Find the volume of the solid generated of the area bounded by y? = 8x and y = 2x, rotated about y = ...

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

Q: ( 2x + y -3z = 0 -2x + 2y + z = -7 3x - 4y-3z %3D %3D 7

A: We have to solve the system of linear equations.

Q: Find the centroid of the volume formed by revolving about the x – axis the area bounded in the first...

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Q: 9y? = 4x3 from the origin to the point (4, %3D 144. Identify the length of the curve

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Q: Find the length of the arc of the curve 9y2 = 4x3 from the origin to the point (4,). %3D

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Q: x dx

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Q: Q5 A) find dr for the function y x'+ Inx

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Q: Find the area of the triangle with vertices P(1,3, –3), Q(0,0,0) and R(4,6, 1). NOTE: Enter the exac...

A: Area of triangle is half of cross product of adjecent side of traingle.

Q: Find the antiderivative, G(t), of the function g(t) = (3n?t? – t4)V3n² – t².

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Q: Find all critical values for the function f(x) = 10x – 30x + 5, and then list them (separated by com...

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Q: Rewrite exponents as factors using the Power Rule of Logarithms. Do not evaluate the logarithm. logs...

A: Note that, the power rule of Logarithms is: ln xn=n ln x

Q: 12 TT CoS + i sin + i sin 6.

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

Q: onsider the points A(3, -3,3), B(4, –5, 1), C(-2, –-4, 1), and (6, 3, -5). -) Find the volume of the...

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Q: 5. S Vx³ In(Vx) dx

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Q: Hiw.r provethat D2f +32f= y=o far the functionel xe -2y Coos 2X %3D

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Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y? = 2(x² – ...

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Q: Use the given graph of f over the interval (0, 6) to find the following. 1- 1 (a) The open intervals...

A: given :-  graph of f over the interval (0,6)  To see the interval where f is increasing.

Q: Znt 2

A: For the series with an=(-1)n+1 bn  or an=(-1)n bnbn ≥0 for all k.Then if,1. limn→∞ bn =0 and,2.{bn} ...

Q: Find the derivative of the follo solutions. 1. What is (5x +3)4? dx 2. What is 4 (x2 – 3x)5? dx 3. W...

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Q: 10)A doctor prescribes 300 milligrams of therapeutic drug that decays by about 10 % each hour. What ...

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Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² + ...

A: Given equations are:  x2+y2-2ax=0x+y=2a

Q: Activity 1: Use the Rules of Differentiation to differentiate the following functions: a. f(x) = 2x³...

A: We can solve subpart a,c& e as below.

Q: b) an = (-1)"/n (-1)" Vn c) an

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Q: a man who is standing 5 meters above a shoreline is pulling up a boat that is 12 meters away from th...

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Q: Instruction: Answer the following. Show all your solutions. For items 1 and 2: Given f(x)dx = 4; f(x...

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Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x? + ...

A: Given equations are:  x2+y2-2ax=0x+y=2a   The bounded region is rotating about the line x=0.

Q: Evaluate the following limits. 1. lim (1+ Vw)(2 – w² + 3w*)

A: According to our company rules we can answer only the first question and rest can be reposted.

Q: EVALUATE THE FOLLOWING INTEGRALS: (BY PARTS OR TIC TAC TOE METHOD)

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Q: se the Root Test to determine if the series (-1)" 2/n en² (2n2 – 1)" CONVERGES - n=1 converges or di...

A: As you have asked for the solutions of question number 3 only. So I am solving only that. Hope it he...

Q: Find the volume of the solid generated of the area in the first quadrant bounded by y = 3x – x3, x =...

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Q: . Solve the initial value problem (zln z)y/ + y = x²e y(e) = 1 ze² +1- ee+1 e (x + 1) +1– e°(e+1) (b...

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Q: solve using Integration by Parts Trigonometric Integrals Trigonometric

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Q: 3 The point P(7, -3) lies on the curve y = 6 - x (a) If Q is the point x, 6 - find the slope of the ...

A: Given that the point P(7,-3) lies on the curve y=3/(6-x).

Q: /9-4х2 dx

A: We know, (i) ∫dxx2-a2=12alogx-ax+a+C, C is a constant.

Q: dy then dx sin x If y = 1+ cos x ||

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Q: Write an equation to represent the following statem j divided by 9 is 5 Solve for j. Stuck? Review

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Q: Express the integral in terms of the variable u, but do not evaluate it. eS-4 dz; u = 5z – 4 NOTE: E...

A: ∫01 e5x-4dx  here change the variable x to u u = 5x -4 du/dx = 5 dx =du/5 limit is change from  if x...

Q: Solve the inequality 3 2 and enter your solution set in the answer box below using interval notation...

A: Use property of inequality and solve for x value.

Q: 2 cos 0 d 1 - sin A

A: We can find the integration as below.

Q: Find the critical point and determine if the function is increasing or decreasing on the given inter...

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Q: ху? dy dx x2

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