Find f'(x). f(x)=(8-5x)6

Q: if f(x)= 5 sin to the negative one power ( x to the thrid power) then what is f prime of x

A: The objective of the question is to find the derivative of the function f(x) = 5sin^(-1)(x^3). This…

Q: Find all numbers c that satisfy the conclusion of Rolle's Theorem for the following function and…

A: The objective of the question is to find all the numbers 'c' that satisfy the conclusion of Rolle's…

Q: Find the length of the curve x = ey + ½ ½ e˜³, 0 ≤ y ≤ 6.

A:

Q: Find dy dx if y = √Inx +1. 1 dy dx 2 x √In(x)

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Q: Let à =. Find |ā|.

A:

Q: 3) An adult human at rest inhales and exhales approximately 520 ml of air (called the tidal volume)…

A: Question No. (d):Given: An adult human at rest inhales and exhales approximately 520 ml of air…

Q: Find the area of inside = 22cose and outside = 11 by sketching the graph of the equations using the…

A: Option B is correct.Explanation:Graph. If you have any problem let me know here in comment box for…

Q: Find f'(x). Do not simplify your answer. (a) f(x)=arcsin(log2(2x + 1) + x) (b) f(x)=-5x2 arctan (ln…

A: The given functionsd) e) f)

Q: 1) Write an equation of a function that meets the given conditions (a) x - intercept: (1,0), (3,0);…

A: Given conditionsx-intercept  ,vertical asymptotes , horizontal asymptote x-intercept  ,vertical…

Q: 6. The Apollo's Chariot, a roller coaster at Busch Gardens, moves at 110 feet per second. The…

A: Since first two questions are already solved correctly, i solve third question according to our…

Q: f(x) and (f'(x))² into the surface area equation above to find b Surface Area = Lº 2π. = a 5 5 2π…

A: To explain how was the 2 used from 2pie. How is it determined the 2 is needed, when in other cases…

Q: A population of rabbits oscillates 21 above and below an average of 150 during the year, hitting the…

A:

Q: @ #10, In the xy-plane sketch the region R bounded by the curves x=y² and y=2-x b) Write down…

A: (a) Refer to the graph in Explanation(b)−2≤y≤1y2≤x≤2−y (c)∫−21​∫y22−y​(2y−3x)dxdy=−10261​…

Q: Use the method of Lagrange multipliers to prove that the rectangular box with maximum volume that…

A: The objective of this question is to prove that the rectangular box with maximum volume that has a…

Q: Use the given information to find the exact function value. Simplify your answer as much as possible…

A: Given that the expression

Q: The region W lies between the spheres x² + y²+z2: 24 and ²+ y²+ z² == I' 16 and within the cone z =…

A:

Q: Calculate the area of the parallelogram whose adjacent sides are: a = [5,3,-1] and b = [2, −4,1]

A: Therefore, the area of the parallelogram formed by the vectors (a)  and (b) is  27.08 square…

Q: For each of the following tables, complete the table And Answer the questions that fo X Process y 0…

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Q: lim x-0 √x+5-√5-x χ

A: To find:-

Q: 6) The Drag, F in Newtons (N) on a certain airplane is F= 0.00500² + 300000000 12 where v is the…

A:

Q: The value of the following integral is positive (a) True. (b) False. LL x√√x²+ y²dydx.

A: To determine whether the following statement is true or false.The value of the following integral is…

Q: please help solve

A: The objective of the question is to find the value of the function y at x=3, given that y is a…

Q: A. The instantaneous rate of change of demand with respect to price is _____when the price is ​$30?…

A: a) The instantaneous rate of change of demand with respect to price is called elasticity of demand.…

Q: Let f(x) = x|x|. (a) Sketch the graph of the function. 2 y У 4 2 2 y 4 2 y X y X J -4 -2 -2 2 -4 -2…

A: a)4th graph is correct answer b) Differentiable for all real x  c) f′(x)=2xExplanation:

Q: Find T and N for the space curve r(t) = (5e' cost) + (5e' sint) j + 7k. T()+(k (Type exact answers,…

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Q: 8) In designing a flexible tubing system, the supports for the tubing must be perpendicular y=-4 to…

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Q: Find the inverse Laplace transform of 3se-58 (a) F(s) = 82-4s +3

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Q: X * 0 1 2 3 4 n Process Write a function representing the values in the table. 9.72 8.748 7.8732

A:

Q: 4. Use Equation 5 to find dy/dx. (a) y cos(x) = x² + y² (b) arctan(ry)=x+xy (c) e sin(x) = x+xy

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Q: dx/dt=lnx/lnt, solve this differential equation by using integration by parts.

A: ### ConclusionThe direct analytical solution involves advanced functions beyond elementary calculus…

Q: A right triangle has side lengths a, b, and c as shown below. Use these lengths to find tanx, sinx,…

A: Explanation of the answer is as follows

Q: Find к for the space curve K(t)=☐ (Type an exact answer, using radicals as needed.)

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Q: (4/x3 + 1) dx

A:

Q: Find a rational function f that satisfies all the given properties vertical asymptote at x = 4 and…

A: The objective of this question is to find a rational function that has a vertical asymptote at x = 4…

Q: Suppose that ƒ is a function given as f(x) = −x² + 5x − 3. Simplify the expression f(x + h). f(x+h)…

A: given function

Q: #7 Given f(x,y) = x³y-xy-2x. find and classify (min, maxer saddle) all critical points.

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Q: Consider the polynomial function f(x)=-3x^4+6x^2-10. Show algebraically whether f is even, odd or…

A: The objective of this question is to determine whether the given polynomial function is even, odd,…

Q: [1] Find the length of the curve y = In (cos x), 0 < x < π/6.

A: y= ln(cosx)we have to find length of curve from x= 0 to x= π/6

Q: Let F(x, y) = 2x 2yi + 3xyj, and C be the boundary of the square with corner points (±1, ±1),…

A: The objective of this question is to find the flux of the vector field F across the boundary C of…

Q: Let u = 4u + 5v (9, -2, -8) and v = (4, −3, −1).

A: The required solution is:&lt;56,-23,-37&gt;Explanation:

Q: Find the area of the region lying between the loops of =2+4sine. Select one: ○ a. 4(√3+2π) O b.…

A: The area is:A=4(33​+π) The answer is d.Explanation:The given polar function is:r=2+4sinθFirst, let…

Q: Example 4: w=x²y+y+xz_x= cos(0) y=sin(0) z=0² dw Find dt

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

Q: Fnd the length of the indicated portion of the curve. r(t)=(t cost)i+(-tsin tj+ (22) Osts The length…

A: Given that a curvehere needs to determine the length of the curvelet,  , then the length of the…

Q: In (x³ – 2x² - 5x+6) -

A: The given function

Q: πT Find the length of the curver = 11sece over the interval 0≤0 Round 3 your answer to two decimal…

A: Answer is option C)19.05. Explanation:

Q: Differentiate the following. Simplify your answers. y = esin x tan x y=x465x-3 y =

A: To differentiate the following.

Q: Find the length of the indicated portion of the curve. r(t) (3e cost) + (3e sint)j+3e'k. - In4sts0…

A: Given:To find:The arc length is calculated as-

Q: 10 The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal…

A:

Q: Let f(x)=sin(x), find each of the following: find the second derivative, the thrid derivitie and the…

A: The objective of this question is to find the second, third, and fourth derivatives of the function…

Q: Find the value of the expression lim t→ꝏ -e-3t +5 I want human solution please no AI

A: The objective of the question is to find the limit of the expression -e^-3t +5 as t approaches…