a) f(t)=tsin(ät) Final Answ

Q: Does this value overestimate or underestimate the instantaneous velocity of the rock at time t = 1…

A: The height of the rock is given as: ht=-5t2+20t+25 The instantaneous velocity of the rock at time…

Q: Can you please show the work completely. With the final answer

A:

Q: f(x)=-4x+4,g(x)=2x^(2)-3x Find f(3) and g(-6) Simplify your answers as much as possible.

A:

Q: Calculate [1, 2, 2] x [5, -5, -1] -

A:

Q: Find T, N, and K for the plane curve r(t)=(8cost+8t sin t)i + (8sin t-8t cos t)j, t> 0.

A: You have asked multiple question, we will solve the first question for you. The rest can be asked as…

Q: A ball of radius 12 with a cylindrical hole of radius 7 drilled through its center has volume:…

A: given ball radius is 12 cylindrical hole radius is 7 ball is the shape of sphere volume of sphere…

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

A: Let's find value of x by using intermediate theorem.

Q: function is undefined at a specific value, does that mean the limit is automatically infinity or…

A: it doesn't mean that limit is always infinity.

Q: Consider the following graph. y 10 5 JA -5 5 -5 -10 -10 10 X ℗ Use the given graph of the function…

A:

Q: 1. Is the function g(x) continuous at x = 5? If so, why, if not, classify the discontinuity.…

A:

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A:

Q: π/4 IF ST/A tan (x) sec(x) dx = I, express the value of 。 π/4 tan (x) sec(x) dx in terms of I.

A: Given:- ∫0π4tan4xsecxdx=I

Q: Solve the oblique triangle. Clearly show supporting steps and diagrams. Round to the nearest tenth…

A:

Q: steps. (a) lim x418 3x³ + 2x + 1 2x³ - 7

A:

Q: f(x, y) = e(x8 relative maximum relative minimum +y8)/8

A:

Q: 5. 6. xy' = (1- y2) 1¹/2 dy x-e-x dx y + ey +2 dy dx 11 1+ y²

A:

Q: Find the area of the surface generated by revolving the curve about they-axis. y=81-x²,05x59 A B…

A: Given :y=81-x20≤x≤9

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

A: Volume revolving about x and y axis

Q: The slope of the tangent line to the graph of y = 2x³ at the point (2, 16) is 2x³ 16 - lim x-2 X- 2…

A: The slope of the tangent line to the graph of y=2x3 at the point 2, 16 is limx→22x3-16x-2. We have…

Q: The graph in the figure is a horizontal and/or a vertical shift of the graph of y=x2y=x2. Find a…

A: Here we have to plot the graph through transformation.

Q: Estimate f(g(2)): First graph y=f(x) Second graph y=g(x)

A:

Q: Find an equation of the plane. The plane through the point  (6, −7, −1)  and parallel to the plane…

A:

Q: From the top of a 198-ft lighthouse, the angle of depression to a ship in the ocean is 22º. How far…

A: Given: From the top of a 198-ft lighthouse, the angle of depression to a ship in the ocean is 22°.

Q: A mad scientist has recently uncovered the process for making flubber. The cost of producing F grams…

A:

Q: = x = 4√y,x= -7y, Use the shell method to find the volume of the solid generated by revolving the…

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

Q: Pls do fast within 5 minutes and i will give like for sure Try to give solution in typed form Find…

A:

Q: Given that f(x) = x² - 14x and g(x) = x + 10, find (a) f(x) + g(x)= (b) f(x) = g(x)= (c) f(x)g(x)=…

A: Given that fx=x2-14x and gx=x+10, to find a fx+gxb fx-gxc fxgxd fxgx

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) =…

A:

Q: 5. Given that the particular solution of y" - y' = cosx + sinx has the form = Acosx + Bsinx.…

A:

Q: A mass is attached to a spring with spring constant of K=10. The spring is stretched to 30cm passed…

A:

Q: x + 1 X-7' (a) the average rate of change of f(x) on [x, x + h] Given the function f(x) = (b) the…

A:

Q: 7. Find the point (a, b) on the graph of y = x³ - 3x² +4 where the tangent line is x - 3y = 1.…

A: given y=x3-3x2+4tangent line perpendicula to x-3y=1if two lines are perpendicular than there slopes…

Q: Find the power series representation for the function and determine the radius of convergence R.…

A:

Q: Use the integration capabilities of a graphing utility to approximate the arc length of the graph…

A: Using integral

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

A:

Q: . (If the limit is infinite, enter 'co' or '-co', as appropriate. If the limit does not otherwise √x…

A: Topic:- application of calculus

Q: Given lim f(x) = -2 and lim g(x) = 4, evaluate: x-1 x-1 lim (-3f(x) +5g(x)) = x-1 lim (-3+5f(x)) =…

A:

Q: Find f, fy, f₂. f(x,y,z) = (4x² + 4y² + z²) e

A: As per our guidelines we are allowed to answer only one question. Kindly repost the other question…

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

A:

Q: The function h is given by h(x) = x5 + 3x - 2 and h(1) = 2. If h-1 is the inverse of h, what is the…

A:

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

A:

Q: How do we know that eª and In x are inverses of each other?

A: The given two functions are ex and lnx We have to prove ex and lnx are inverse of each other .

Q: 3.2 Problems The linear systems in Problems 1-10 are in echelon form. Solve each by back…

A: Back substitution means putting the vale one of fixed variable into other.

Q: 25. All solutions are asymptotic to the line y = 3-t as t → ∞.

A: (25) Given that , y=3-t Construct a first order liner differential equation whose solution have the…

Q: Find an antiderivative of the function f(x) = (2x + 1) ¹/². 1/2

A:

Q: Consider the function f(x, y) = 2x³ + y on the region {(x, y) | x² + y² ≤ 16}. Find the absolute…

A:

Q: For the given function, find (a) the equation of the secant line through the points where x has the…

A: y=f(x)=x2+xat x=1 , x=4 (a)  equation of secant line is y=mx+c,  where m is slope

Q: Use the following tables for f(x) and g(x), and just fill in the tables shown below: 0 1 2 3 4 5 x y…

A:

Q: 5 A 8 B

A:

Q: Here is a way we can estimate the distance from the earth to the moon. When the moon is seen at its…

A: Here is a way we can estimate the distance from the earth to the  moon. When the moon is seen at its…