Find the area between the curve y = y 2.0 1.5 1.0 0.5 1 square units y = 2 1 x5/4 1 X5/4 3 and the x-axis from x = 1 to ∞o. 4 5 6 X

Q: Suppose that the marginal revenue for firefighting protective clothes is MR = 457 - 5x and the…

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Q: I have a problem that I really need help with:  Find f(g(4)) if f(x)=x^3/2 and g(x)=1-3x^2 I know…

A: f(x)=x3/2 , g(x)=1-3x2 We have to find f(g(4))

Q: 5. Find f'(x) if f(x) = √4sin²x +9 cos²x. Solution: U= du dx B) Implicit Differentiation Example:…

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Q: When an initial amount of money, A, in dollars, is invested into an account that earns interest…

A: Total 4 parts  Value at time t  Average and instantaneous rate of change

Q: Find the angle between the vectors a = 7i- j - 5k and b = 2i+j - 10k. Answer (in radians): 0

A: given a=7i-j-5k and b=2i+j-10k

Q: Consider the table below for lim (f (h)). Step 2 of 2: Find lim (f (h)). h-673" h 672.5 672.9 672.99…

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Q: 10. Given = [10,4] and = [12, 13], find the projection of u on v. -

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Q: Water flows from the bottom of a storage tank at a rate of r(t) = 300 - 6t liters per minute, where…

A: This is question of calculus  Here rate of change of water flow is given  Further calculation is…

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: Given f(x) = = 3x + 7 √9x² A) Find lim f(x) ° x48 5 B) Find lim f(x) o x118 "

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Q: State the order of the given ordinary differential equation. t6y(5) - t4y" + 5y = 0 Determine…

A: To state the order of the given ordinary differential equation. t6y5-t4y''+5y=0 To determine whether…

Q: Find the area of the parallelogram whose vertices are given below. A(0,0,0) B(4.2.6) C(8,0,6)…

A: Vertices of a parallelogram, to find its area.

Q: (b) Find the co-ordinates of the turning points of the following function: y = 3x4 - 16x³ + 24x² -…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 6. Given u = a. Su - b. ū c. v [2, -5]and V V = [-7,2] find

A: 6) Given u→=2,-5 and v→=-7,2

Q: Find all the second partial derivatives. f(x, y) = xy - 4x5y² fxx(x, y) = fxy(x, y) fyx(x, y) = =…

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Q: Question Which of the following shows the graph of a polynomial function? Select all correct answers…

A: We have to  shows that which of the following graph of a polynomial function.

Q: (a) lim f(x) = x → 0 (b) lim f(x) = x → 1- (c) limf(x) = x → 2 (d) lim f(x) = x → −1+ 1 y N 0 -1 2 3

A: As per our guidelines we can answer only 3 subparts of the given question. So kindly repost the…

Q: Suppose f(x) = 4x + 1. Determine, in a simplified form, each of the following: (a) f(a) = (b)…

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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: Evaluate the definite integral. π/2 x² sin(x) 1 + x8 À -π/2 dx

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Q: 3) Refer to the information in Problem 2. Find the distance traveled by the object for the interval…

A: We have, Vertical position:    y(t) = 32t - 8t2  Interval:  0 ≤ t ≤ 3

Q: Find the area of the parallelogram whose vertices are given below A(-1,4) B(4,0) C(9,3) D(4,7) The…

A: We have, A(-1,4) , B(4, 0) , C(9,3) , D(4, 7)

Q: Write the vector shown on the graph below as a linear combination of standard unit vectors i and j.…

A: Graph

Q: When a body is freed from a FIXED SUPPORT, what support reactions must be used to replace the effect…

A: This is question of support reaction  Here fixed support is given  And free body diagram related we…

Q: At what point does the curve have maximum curvature? y = 4ex (x, y) = What happens to the curvature…

A: We know that Curvature of curve (k)=y''x1+y'x232

Q: Determine whether a given series converges or diverges.

A: Given: ∑n=1∞2n3-19n+1 We are required to find: Whether the given series converges or diverges.

Q: Cheap Chips Corp. has determined that the profit, in dollars, derived from the production and sales…

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Q: Consider the two functions f,g: [−1,5] → R, whose graphs are given below. 4 y = f(x) y = g(x) 3 3 2…

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Q: 4. Determine the 75th derivative of each of the following functions. f(x) = 3 cos 2x b)

A: given function is f(x)=3cos(2x) we know d dx(cos(ax))=-asin(ax)  and d dx(sin(ax))=acos(ax)

Q: I need help with the one I got wrong

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Q: 7) Refer to the information in Problem 6. Find the object's total distance traveled on the interval…

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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: What is the largest number that uses each of the seven Roman numerals exactly once?

A: To find the largest number that uses each of the seven Roman numerals exactly once.

Q: /n³ + 1 n=1 3n³ + 4n² + 2 00 EXAMPLE2 Σ Since an is an algebraic function of n, we compare the given…

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Q: Calculate S3, S4, and S5 and then find the sum for the telescoping series 5=(1+2) n+ S

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Q: Use integration by parts to find the integral. (Use C for the constant of integration.) [x² In(ax)…

A: We have, ∫ xnlnax , where a ≠0 , n≠-1

Q: y = c₁ cos(3x) + C₂2 sin(3x) is a two-parameter family of solutions of the second-order DE y" +9y =…

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Q: Use the table to the right to find the given derivative. d[ f(x) dx x+3 x=4 f(x) [X3] (Simplify your…

A: Given that ddxfxx+3x=4

Q: Both answers are wrong and I really need help

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Q: 1. The graph of f(x) is shown to the right. On the same grid, draw a sketch of f'(x). VA Explain,…

A: Given: Aim:  To draw the sketch of f'(x).

Q: Evaluate the integral. (Use C for the constant of integration.) [In(√x) dx

A: Short Explanation::-

Q: 57. Yn = en 27

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Q: 8) A particle that moves along a linear path has a known velocity of v(t) = 4.3 sin (2.1t), where…

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Q: State the order of the given ordinary differential equation. d²y dx² Determine whether the equation…

A: a) d2ydx2=1+dydx5 b) anxdnydxn+an-1xdn-1ydxn-1+.........+a1xdydx+a0xy=gx

Q: An general equation for the plane passing through the points (0, –1, 2), (−1, −5, 4), and (2, –4, 3)…

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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: Use the chain rule to find əz Əs z = (x - y)², x = s²t, y = st² дz at = and az z =…

A: ∂z∂s = ∂z∂x×∂x∂s using chain rulewhere∂z∂x is partial differentiation of z with respect to x keeping…

Q: Find the volume of the solid that lies below the paraboloid using Double integrals in Polar…

A: This is question of calculus Here we have to find volume using double integration method  Curve…

Q: Evaluate the integral. Jarctan arctan(3t) dt

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Q: y=x² and y = √√x =√₁ 2

A: y= x2 y =x