If the velocity of a moving object is t 2 1² v (t) = 20 2 in meters per second, then what is its displacement, in meters, from 1 to 8 seconds?

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A:

Q: 99. Determine the concavity of the curve x = 2t + ln t, y = 2t - In t

A:

Q: Use the Shell Method to compute the volume of the solids obtained by rotating the region enclosed by…

A:

Q: that the indicated family of functions is a solution of the given differential equation. Assume an…

A: The given differential equation is;  d2y/dx2 - 6dy/dx + 9y=0

Q: 1. Which of the following is not a D.E.? A. y"- 3y'=0 B. y dz = w(z)=0 I C. y A sinx + Bcosx D. L…

A: **As per our guidelines, we are supposed to answer only one question at a time. Since you have…

Q: Find polar coordinates for each point in rectangular coordinates with a positive radial coordinate…

A: Given :- Rectangular coordinates with a positive radial coordinate and a negative radial coordinate.…

Q: Find the value of the constant b that makes the following function continuous on (-∞, ∞ if x 8 PL {…

A:

Q: Find a Cartesian equation relating and y corresponding to the parametric equations Write your answer…

A: x=3sin6t ,y=6cos6t

Q: Use the Shell Method to find the volume of the solid obtained by rotating region above the graph of…

A:

Q: 3) Factor the following polynomials: (a) 12x²y + 4xy² - 18ay (c) 2x² - 9x - 18 (d) 27y³ - 125 (b) d…

A: Given polynomials are : (a) 12x²y+4xy²-18xy ;  (b) d²-5d-66 (c) 2x²- 9x - 18 (d) 27y³-125 (e) 121x²…

Q: If f(x) = x²= 1 and g(x) = 3x²=2x-1, + what is lim f(x) ? X→1 g(x)

A:

Q: L (4 + √36-x²) dx

A: Evaluate the definite integral  We know that the formula int_a^b f(x) dx=int_b^a f(x) dx

Q: r = 3 -4+2 sin 0

A:

Q: differentiate the function f(v)=(v^1/3-2ve^v)/v

A: fv=v13-2vevv NOTE:-Here in question brackets are not given v^1/3 but as we see it must be v^(1/3)…

Q: Find following limits if they exist. Enter DNE if the limit does not exist. 10 10 40 1. lim g(x)…

A: According to our guidelines, we can answer only three subparts of a question. Other parts can be…

Q: Find the general antiderivative. Use c as the constant of integration. (6cos(x) - 2) dx

A: We know the antiderivative of cosx is: sinx+c Where, c be the constant of integration.

Q: me Value Theorem, which of the following is true?   A) f(x) achieves a maximum f(c) and…

A: f(x)=x2

Q: Let f(x) be a continuous and differentiable function such that f(3)=7 and 2 < f'(x) < 4 for all x.…

A:

Q: Consider the following. dz Find by using the chain rule. (Enter your answer in terms of t.) dt dz dt…

A:

Q: Find a Cartesian equation relating and y corresponding to the parametric equations Write your answer…

A:

Q: Question 5 Which values fall within the range of this function? f(x) = -4x+3+2? Select all that…

A: To determine the value that falls within the range of  the following function. fx=-4x+3+2

Q: (1) For what values of x are the following functions continuous? Show work. (6 3x a) f(x) = 2cosx-1…

A:

Q: Use the equation to find dy dx }} dy dx dy dx ƏF ƏF ду = F X F y 7y cos(x) = x2 + y2

A:

Q: A curve in polar coordinates is given by: r = 7+2 cos 0. Point P is at 0 = 16 14 a.) Find polar…

A: We have,    r = 7 + 2 cos θ   Point P is at θ = 16π/14

Q: Compute 1. x²ex³dx.

A: ∫-∞0x2ex3dx

Q: Find a quadratic equation with the given roots. Write your answer in the Suggestion: Make use of the…

A:

Q: In this problem, y = c₂ cos(4x) + C₂ sin(4x) is a two-parameter family of solutions of the…

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

Q: An aircraft (at Z) is spotted by two observers (at X and Y) who are L-1100 feet apart. As the…

A: The given image of the problem is: L=1100  feetA=50°B=35°

Q: 71. an 1 1 √n² + n² vật thổ v2nt 8 ≤an ≤ 1 √²n²

A:

Q: Fast pls solve this question correctly in 5 min I will give you like for sure. Select the domain of…

A:

Q: (a) Show that (b) Solve the equation -1 cos(2 tan ¹x): = (d) Find the general solution to cos 7x…

A: Note : As per our Guidelines , we can solve first part as your all parts not too small . Please…

Q: Use the limit comparison test to determine whether an = n=12 an lim = lim n→∞ bn n-x n=12 (a) Choose…

A: We have to to Check the convergence of given series.

Q: Compute the area of the surface parametrizes by r(u, v) = (u cos v,u sin v, 1-u²), where 0 ≤u ≤ 1,0…

A:

Q: 12. Practice similar Help me with this Use the Integral Test to determine whether the infinite…

A:

Q: 1. From a piece of cardboard that is 24 cm by 48 cm, cut equal squares out of the comers. Foldup the…

A: Let side length x squares cut from each corner of cardboard Objective:-To find the maximum volume…

Q: Use the chain rule to find dz dt 11 dz dt = √t, y = ²/2 t z = sin(x) cos(y), x =

A:

Q: D. MEAN-VALUE THEOREM & ROLLE'S THEOREM Determine if Rolle's Theorem and the Mean Value Theorem is…

A: Note:- Since you asked multiple question , according to our policy we can solve only first question…

Q: Evaluate the integral. π [" 10 3x³ cos(x) dx

A: To solve the given problem, we will use following integration formulae ;

Q: Show every step to solve the problem. Solve question subpart D ONLY.

A:

Q: Find the direction in which the maximum rate of change occurs for the function f(x, y) = 3x sin(xy)…

A: To find:  the Direction in which the maximum rate of change occurs for f(x,y)=3xsin(xy) at point…

Q: Estimate the number of flashlights that can be sold at $5. Round your final answer to the nearest…

A: The data of x vs f(x) is given as Sr. No. x f(x) 1 6 86 2 12 60 3 18 38

Q: Describe the translations performed on f(x) = log(x) to graph g(x) = log(x – 7) – 7. Select all…

A:

Q: Please answer and explain

A:

Q: Find the derivative of f(x)=x²-3x² +9 final answer with no negative efonents in

A: We know that the derivative of e^(mx) is me^(mx)

Q: Find the derivative of f(x) = -3²x with no answer negative exponents in

A:

Q: In this problem, x = C₁ cos t + c₂ sint is a two-parameter family of solutions of the second-order…

A: We will find the general solution .

Q: A spherical balloon is being inflated Find the rate at which its volume V is changing with respect…

A:

Q: If f is a differentiable function and f'(x) = x5-5x4+ 5x³+2, then fis concave up on

A:

Q: Use the equations to find дz дх дz ду || || дz дх дz дх OF дх ƏF дz and and əz ду дz ду x2 - y2 + z²…

A: Given: ∂z∂x=-∂F∂x∂F∂z and ∂z∂y=-∂F∂y∂F∂zx2-y2+z2-8z=9 We are required to find: ∂z∂x and ∂z∂y

Q: 1 (a - b) In K2 = | (a − x) (b - x) After solving this expression we get, 1 t(a - b) 31 = K₂ ti t]…

A: