Find a formula for the nth term of the sequence where an is calculated directly from n. 7 1 10 2 3 13 16 6 19 24' 120' " 7 ...

Q: Use the shell method to find the volume of the solid generated by revolving the region bound by y =…

A: Let's find volume of solid generated by revolving about the y-axis.

Q: Find all the second-order partial derivatives of the following function. 74 f(x,y)=x²y²-x+y° 6 8

A: according to bartleby policy we do only first part of multiple questions there for please re post…

Q: Please show examples and final answers

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Q: (a) Use a graph of f(x) = = √2x² + 9x + 2 - √2x² + 2x + 1 to estimate the value of lim f(x) to one…

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Q: 1. Let h(x): = 4x³ + 3x - 2. Use the Intermediate Value Theorem to show there exists x = 1 and x = 2…

A: Given query is to apply IVT.

Q: Using only the Laplace transform table (Figure 11.5) in the Glyn James textbook, obtain the Laplace…

A: We need to solve Laplace problem.

Q: Draw an augmented matrix for the following system of equations: 3z − 2z + 3z = 4 −5z + 4z + 27z =…

A: Given equation 3z − 2z + 3z = 4 −5z + 4z + 27z = 0 10z + 25z − 13z = −9

Q: 3. Evaluate the limits. Determine ±∞ when appropriate. Be sure to show intermediate steps. (a) lim…

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Q: Evaluate the integral. 216 1 x(x + 6)³ (Use symbolic notation and fractions where needed. Use C for…

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) first, we need to find…

Q: Use integration by parts to find the integral. ( √x xeax dx (a = 0)

A: Given integral ∫xeaxdx

Q: 13. y'=xy³ (1+x2)-1/2, y(0) = 1

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Q: 2. / x + 4x x + 4x +13 dx

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Q: (a) Estimate the area under the graph of the function f(x) = from x = 0 to x = 4 using a Riemann sum…

A: Given: f(x)=1x+4 from x=0 to x=4 and n=10

Q: The curvature of the helix r(t) = (a cos t) i + (a sin t)j + bt k (a,b20) is k=- 2,2 a+b What is the…

A: Given helix:- rt=acostiasintj+btk

Q: the parametric equation of the line through the point (1,-1,5) and perpendicular to the plane…

A: To find the parametric equation

Q: The profit (in dollars) from the sale of x infant car seats is given by P(x) = 90x - 0.025x2 -…

A: Question - The profit (in dollars) from the sale of x infant car seats is given by   P(x) = 90x -…

Q: Find an equation of the tangent plane at the given point: F(r, s) = 2r³-2/3, 1 80.5 (1,1) 2=

A: Given equation of surface is F(r,s)=2r31s0.5-21s3 and the point (1,1).

Q: Match the graph with its corresponding function. +++ -10 -5 ņ O g(x) = (x - 3)2 O g(x)=x²-3 O g(x) =…

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Q: Explain why the function is differentiable at the given point. f(x, y) = 7+ x In(xy-7), (4,2) The…

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Q: In an effort to reduce its inventory, a warehouse runs a sale on its least popular Blu-ray discs.…

A: Given data: The soles rote on the day 't' of the sole is 70t ⇒dctdt=70t  At t=1 none of the…

Q: Decide whether the given functions are inverses. x f(x) x g(x) 5 5 5 5 -6 4 -4 -9 6-2 4-6 -9-4 -2 6…

A: To determine whether the functions f and g are inverses to each other. x fx 5 5 -6 4 -4 -9…

Q: 1 im f(x) = 4x +3 y=7 00 sx+4

A: To find the limit of the given function.

Q: Let P(1,2,3). Q(1,-1,0) and R(2,4,7). Find i. the normal vector to the plane PQR. ii. the parametric…

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Q: Solve. Be sure to show and explain your work. log₁(x + 3) + log(x − 3) = 2

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Q: n equation of the line that passes through the given point and has the indicated slope m. Point…

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Q: Find the arc length parameter along the curve from the point where t=0 by evaluating the integral s…

A: The equation of the curve is given as,r(t)=(1+5t)i+(3+2t)j+(9-2t)kand the interval is given as,…

Q: a) What is the coefficient of  x6 in the binomial expansion of  (2+3x)9

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 3. Assume that f and g are entire. Use the definition of the derivative: f(z)-f(zo) 2-20 f'(20) =…

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Q: Find f''(x). 6 f(x) = √(x² + 3) 5 f''(x) =

A: To find double derivative of the given function.

Q: 45° 8 Q The height of a right triangle with base angle 45° and hypotenuse 8 is

A: Answer: The solution is given below:

Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about…

A:

Q: 60° 14 The hypotenuse of a right triangle with base angle 60° and base 14 is

A: GivenIn the right triangleBase=14Base angle is 60°   We are required To find the hypotenuse

Q: Verify the following relations: a) n=1 1 Σ(n-1)³ n=2

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Q: Given f(x) = √3x, find f(x+h)-f(x) (a) h

A: Topic:- application of calculus

Q: Evaluate the following limit. Enter the exact answer in fraction form, if necessary. To enter ∞o in…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  the degree of the…

Q: Give reasons for each of the following steps. Use the given list of reasons on the right and enter…

A: Please see the below picture for detailed solution.

Q: 2. Use the shell method to find the volume of the solid generated by revolving the region bounded by…

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Q: K Find the average rate of change for the function over the given interval. y=ex between x= -1 and…

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Q: K The function p(t) = 2000t 4t+75 gives the population p of deer in an area after t months. a) Find…

A: we need to find out the derivatives.

Q: The differential equation −3xy² + 6xy + (−3x²y + 3x² + 1) = 0 dy dx Has solutions of form F(x, y) =…

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Q: Use technology to find f'(3), f'(16), and f'(-3) for the given function when the derivative exists.…

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Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: here we have to find the limits.

Q: Find the cosine of the angle between the normal vectors to the planes x+y+ 2z = 3 and 2x -y + 2z = 5

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Q: GENERAL and PARTICULAR SOLUTION d²y dx² Find the particular solution to the D.E. = xe given that:…

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Q: write the number 9.8*10^(3) in standard form

A: Given query is to write the number in standard form.

Q: ector equation for this line is r(t) = (5, -4, 3) + t1, 4, - ½)

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Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Enclose arguments of…

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Q: Find T, N, and ê for the space curve, where t> 0. r(t) = (6 cos t+ 6t sin t)i + (6 sin t - 6t cos…

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Q: ○a=3 O 10. Select the value of such that alog(x) is equivalent to log₂ (x). a=9 a = 1 3 Oa= √3

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Q: A homeowner wants to enclose three adjacent rectangular pens of equal size, as in the following…

A: Given query is to find largest possible area.