Find a formula for the general term an of the sequence 5 3 4 16 25 where a1 3 16 1* 36 49 , •.. an

Q: Over 4 years, researchers studied the growth of a fish population and found its growth rate to P'(t)...

A: solution:-p'(t)=10-31+t2+t3     where t∈0, 4∫04p'(t)dt=∫0410-31+t2+t3dt                 =10t-3tan-1t...

Q: Find the sum of the series whose terms are an=1/5^n. What kind of series is this?

A: Series

Q: Determine whether the following series converges. 00 (-1*1 Ink k=1

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Q: Find the length of the curve y=x^3/2 from the point (1,1) to the point (4,8).

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Q: Rewrite f(x) = |4x + 4 – 3 as a piecewise function. %3D (4x + 4) -3 x if x

A: Solve by piecewise defined functions

Q: y = (x² – 1)lnx

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Q: 14. dr/dt = -2tr, r(0) = ro

A: Given query is to find the solution of the differential equation.

Q: Væ = 7, – 7

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Q: Find the vector component of v = 2i – j+ 3k along b = i+ 4j + 8k and the vector component of V ortho...

A: Solving questions

Q: SHOW ALL WORK! date Round all answers to 3 decimal places unless directed otherwise. Use a graphing ...

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Q: Q find the Pur Pose of the f =)ی £ f(x)= a 义く2 lim ×+2文+3X+ x²+1 9. メ→

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Q: Ser sed d tanr dy

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

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Q: avã = 16 + - 10 +0 x'dx V(x² – – 16) + C Vx² – 16

A: Note : as per our company guidelines we are supposed to answer only one question. Kindly post other ...

Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter DNE....

A: f(x)=6sinx+6cosx

Q: sin(3x)sin(4x)dx Ssin(3x)cos(4x)dx Jcos(3x)cos(4x)dx

A:

Q: би Compute Rw for R(u, v, w) = u + w (Give an exact answer. Use symbolic notation and fractions wher...

A: Here, the given function is: R(u,v,w)=6uv+w

Q: Find the average value of f(z) - Va on the interval (0, 16). favg- Enter your answer as a fraction.

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Q: 5. 7.G.2.6 What is the volume of the figure that can be formed by the net below?

A: Given: - The figure is, To find: -The volume of the figure that can be formed by the net below.

Q: Given the function graphed below, evaluate the definite integrals. 5 -2 -3- -4 | f(x)d# =| f(x)dx to...

A: Given query is to find the indicated integral.

Q: 48-51 Find the horizontal asymptotes of the curve and use them, together with concavity and interval...

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Q: Z2-11xこX-

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Q: 3. Find the angles between the vectors: a. u = 2i + j, b. u = 2i – 2j + k, v = 3i + 4k v = i + 2j – ...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Let a and b be non-negative real numbers. Provide an example of an improper integral of the form f(x...

A: Given problem :-

Q: Use the fact that the volume of a tetrahedron with adjacent edges giver by the vectors u, v and w is...

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Q: Find the absolute maximum and absolute minimum values of the function f(æ) = #³ – 12æ + 4, on the in...

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Q: Evaluate the integral below by interpreting y=f(x) it in terms of areas in the figure. A1 The areas ...

A: The given figure is:

Q: The Happy-Go-Lucky toy company found that the rate its revenue is changing, measured in hundreds of ...

A: Given 

Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time pass...

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Q: Help Save & Exit Judith receives an annual salary of $37,500 based on a 37.5-hour workweek. What are...

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Q: Find two unit vectors in 2-space that make an angle of 45° with 8i + 5j. NOTE: Enter the exact answe...

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Q: A solid is formed by revolving about the y-axis, the area bounded by the curve x³=y, the y-axis and ...

A: Given: - A solid formed by revolving about the y-axis, the area bounded by the curve x3=y, the y-axi...

Q: At which of the marked values of x is A. F(X) greatest? x= B. F(x) least? x= C.F'(X) greatest? x=

A: According to Bartleby's guidelines we can solve only first three subparts of a question. Here are th...

Q: Find the length of the Conjugate axis if the length of the semi-transverse axis is 92 and the distan...

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Q: Find all relative extrema. Use the Second Derivative Test where applicable. (If an answer does not e...

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Q: Graph the piecewise-defined function. x-3 if xs5 f(x) = 2 if x>5 .... Choose the correct graph. OD. ...

A: This question can be solved using the concept of drawing the graph of linear equations.

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: To find unit vectors that satisfy the stated conditions.a Same direction as -2i+7j.b Oppositely dire...

Q: a moving point is equidistant from the point (a,0,0) and the line x+a=0,y=0.Find the value of z^2

A: Let us assume that the point is = x,y,z The distance between the point a,0,0 and point x,y,z is: x-a...

Q: x²y" + 2xy' – 6y = 0 , Y1 = x²

A: The given DE is: x2y''+2xy'-6y=0 with one of the solution y1=x2. Now, dividing the DE by x2 will giv...

Q: Determine the amplitude, period, phase shift, and equation of the midline for y = -3 cos (x --) - 1....

A: Given

Q: 11. Use the given pair of functions to find and simplify expressions for the following functions. f ...

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Q: 2. In 3-space the distance d from a point P to the line L through points A and B can be expressed as...

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Q: Find d^2y/dx^2: y^3=6x^2

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Q: I[ Tv° dz dy = x dx dy = y? x dx y dy

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Q: 5. 4e2xdx

A: Given:       ∫4e2xdx Taking constant out.     =4∫e2xdx substitute u=2x→dudx=2→dx=12du       =4∫12·eu...

Q: Given: 1. v = 2i – 4j + V5 k, u = –2i + 4j – V5 k 2. v =i+k, u = 5i + 12j - 3 Find: a. u·v, [v|, Ju|...

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Q: Find the volume of the solid obtained by rotating the region bounded by y = = a°, y = 1; about the l...

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Q: 3. Which of the following is the location of an asymptote in the graph y = csc x? X = 2 O x-- 2 Ox- ...

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Q: The given equation is f(x) = 1/2x4 − 4x2 + 3. Pls give the correct graph which corresponds with this...

A: The given function,  f(x)=12x4-4x2+3