Find a formula for the general term an of the sequence assuming the pattern of the first few terms continues. 9 9 Assume the first term is a₁ an 6 3 = 12 15 27' 81 2 " 18 243 3

Q: Find the inverse Laplace transforms of the following functions s² + s +2 s³+2s24s - 8' G(s) = = F(s)…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: Find T, N, and k for the space curve r(t) = (7e'cos t)i + (7e'sin t)j + 4k.

A: Given data:  r(t)=(7et cost) i +(7et sin t) j+4k

Q: Find all points (x,y) on the graph of f(x) = 2x² -5x with tangent lines parallel to the line y=7x+2.…

A:

Q: Give the first four terms of the following recursive sequence. Clearly show plug-in steps and/or a…

A:

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

A:

Q: Tan Company purchased a large server for $21,500. The company paid 40.00% of the value as a…

A: t

Q: Evaluate 1. limit = 19 lim (2x² + x - 2). r43 2. limit doesn't exist 3. limit = 18 4. limit = 17 5…

A: To evaluate the limit of given function

Q: If f is a function that is continuous at x = 5 and x = 7, then f is continuous at x = 6. True False

A: Topic - Continuity We are given that f is continuous at x=5 and x=7 , then f is continuous at x=6.

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: Find the second derivative of f(x) = 2 sin(4x). Enclose arguments of functions in parentheses. For…

A:

Q: Evaluate the integral. *5 dx L² - (x² - 1)3/2

A:

Q: Let r(t) be the rate at which a swimming pool is being filled with water, measured in liters/minute,…

A:

Q: Sketch a graph of the following hyperbola. Find the center, vertices, foci, and asymptote equations…

A: Given: x^2/ 36 - (y− 1)^2/4 =1

Q: th Find a formula for the nº partial sum of the series 555 5 20-1 5-2 4 · + (-1)^~1. 8 and use it to…

A:

Q: Find the derivative of ƒ (x) = (x7 − 7x) (x² + 8x − 10). f'(x) =

A: Topic - Derivative of a function We are given that f(x) =(x7-7x)(x2+8x-10) we know…

Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. an n! 24n

A:

Q: 5. dy dx dy x-e-x y + ey .2 t

A:

Q: Find the y-intercepts of the graph of the equation x² +9x + y² + 2y = 8

A:

Q: f(x)=2x2 + 5  domain: range: Thank You! :)

A:

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: Use integration by partial fraction to solve 3+4 (z + 3)² dr.

A:

Q: What limit must be calculated to find the rate of change of a function g(t) at t = t0?

A: To determine the limit that must be calculated to find the rate of change of a function gt at t=t0.…

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

A:

Q: . Given that y = 3x - 7 is tangent to y = f(x) at x = 2, find the tangent line to y = xf(x) at x =…

A:

Q: Find the limit: a) lim x → 5 6) lim X->-6+ c) lim X->>4 d) lim 3X X-5 5x+1 x+6 3X x³-64 6 X-> X²+2

A: The given limit is: a). limx→5-3xx-5

Q: Please show examples and final answers

A:

Q: How fast is the tomato travelling when it hits the ground? units: feet per second ✓ OF Question…

A:

Q: Solve the given initial value problem. y" -8y +30y'-56y=0; y(0)= 1, y'0)=0, y''(0)=0 y(t) =

A: To solve the given initial value problem. y'''-8y''+30y'-56y=0; y0=1, y'0=0, y''0=0

Q: Write out the form of the partial fraction decomposition of the function (See Example). Do not…

A: NOTE: Refresh your page if you can't see any equations. . so total partial fraction is the sum…

Q: f(x) = 9 x ,X #0

A:

Q: Suppose customers in a hardware store are willing to buy N(p) boxes of nails at p dollars per box,…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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

A:

Q: Hi! Why is the answer not u(t) = 1+4e/e^tant ? Why did was the e removed from the equatio

A:

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

A:

Q: 3) Given P₁ :x-y-z = | P₁ = 2+1³4 +7=2 Find the parametrization of the intersection of the two…

A:

Q: Find the x² − 6x + y² — 8y = 9 y-intercepts of the graph of the equation

A:

Q: . Use Function Transformation to Sketch graph of the function below. f(x)=-3-√(2x - 4)

A: Given: fx=-3-2x-4 The parent function is of f(x): y=x

Q: Given: (x is number of items) Demand function: d(x) = 518.4-0.5x² Supply function: s(x) = 0.4x² Find…

A: here we have to find the producers surplus.

Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check…

A:

Q: For the function, find the partials fx(x, y) and f(x, y) = (9x² + 3xy + 6)4 (a) f(x, y) (b) f(x, y)…

A: Givenf(x,y)=(9x2+3xy+6)4   We are required to finda. fx(x,y)b. fy(x,y) The following formulas has…

Q: The plane through the point (0,4,−2) perpendicular to the line L(t) = is

A:

Q: The median weight of a boy whose age is between 0 and 36 months can be approximated by the function…

A:

Q: 5x чти У-7-00 &+ xh = (1) w!!

A:

Q: How much work is done (in J) when a weight lifter lifts 170 kg from 1.5 m to 2.0 m above the ground?…

A:

Q: 3. If f(x) = x² + 2x + 1, find f(x + h) where h is a variable.

A: fx=x2+2x+1

Q: A residential property is assessed for tax purposes at 37% of its market value. The residential…

A:

Q: For the sequence an = an-1 + An-2 and a₁ = 3, a2: = its first term is its second term is its third…

A:

Q: Consider the following position function. r(t) = (t5 + 8, t7, t5 - 5) (a) Find the velocity of a…

A:

Q: Flores bought 5 pounds of chicken. He cooked 1 pound for dinner. What fraction did he cook? and what…

A: Given query is to find the fraction of chicken cooked and fraction left.

Q: Find all values of x such that f(x) = 0. f(x) = 2x − 3 9 X=

A: