dX; = X;(ydX, + tdt), d Хо 3D 1.

Q: Find the derivative of the function. F(e) = (3t + 18)2/3 2 f '(e) = 3/ 31 + 18 Need Help? Read It

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Q: 15. Find the degree of precision of the quadrature formula V3 1 V3 f (x) dx = f + f

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Q: Consider the function f(x) = x+6 for the domain [0, 00). Español Find f'(x), where f is the inverse ...

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Q: The solution to the differential equation 1 - y = x cos(3x) is: Select one: O 1 x² cos(3x) + cx? O 3...

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Q: * (5 – 2 In |In|3x||D x In |3x| Given: dx. What is an appropriate formula? du A B du © 2 fuau -2 fud...

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Q: • 2 f(x)dx 2 du There is a function f(x) such that when u= - x°, the resulting integral is Evaluate ...

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Q: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper frac...

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Q: Find the derivative () of: dx y = 4x Jx + Vx

A: Using chain rule of derivative it can be done. please follow the solution which is mentioned in step...

Q: A camera is suspended by two wires over a football field tó gét from above. At one point, while the ...

A: Let the camera be at the point c, WL and WR are the forces on the camera by the left and right wire ...

Q: Aati to determine if the sequence an Use the ratio is strictly increasing or strictly decreasing 6n ...

A: Explained below 

Q: What is y = sin (xy)

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Q: S' 2. a Find Ay and f'(x)Ax for y f(x) = 9x°, x= 4, and Ax = 0.04. (Round to four decimal places as ...

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Q: (iii) What quantity q maximizes revenue? What is the maximum revenue?

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Q: Find Ay and f'(x)Ax for y = f(x) = 3x° x= 2, and Ax = 0.08.

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Q: suppose a baby food company has determined that its total revenue R for its food is given by R = -x...

A: Given:       R = - x3 + 36x2 + 540x 

Q: Calculate the curvature of the cycloid x(theta) = a(theta - sin(theta),       y(theta) =a(1- cos(the...

A: Question : Calculate the curvature of the cycloid x(theta) = a(theta - sin(theta),       y(theta) =a...

Q: Find the derivative of the function. f(x) = V9 - 3x2 %D f'(x) %3D

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Q: d²y and evaluate at (1, - 1): .2 Find X = t + 1 y = t2 – 1

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Q: What is the area of the shaded region below? 16 -y = 2r² + 8 -y = x* NOT TO SCALE

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Q: L{af(t) + bg(t)} = a£{f(t)} +bL{g(t)}, where a and b are constants and both f and g are continuous a...

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Q: The graph of the derivative f' of a function f is shown. y 4 y= f'(x) 4 6. (a) On what intervals is ...

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the quest...

Q: Find an explicit formula an for the nth term of the geometric sequence whose first term is a1 = 4 su...

A: Question- Find an explicit formula of  an   for the nth term of the geometric sequence whose first t...

Q: State whether the sequence, whose nth terms are indicated, is bounded and whether it is eventually m...

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Q: sin 4x Given: - Txwhat is the appropriate formula to find the integral? cos?(4x) (2 – 3 sec 4x) 1 (A...

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Q: Which of the following statements) is always true for a function f(r)? Explain your reasoning with w...

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Q: Problem 2: Group 1: Representation and Quantity to be Maximied/Minimized

A: We will find the area. 

Q: II. Find the derivative of the following functions. 2. f(x) = -V5x* + 3x³ + 6x -9

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Q: Express the area of the surface obtained by rotating the curve y=in cse(2x) between x= and x= about ...

A: surface area about y axis S=∫ab2πxds ....(1) where  ds=1+(dydx)2dx

Q: 1. Write a differential equation that models the given situation. The stated rate of change is with ...

A: let P  denote pressure of a gas T is temperature of gas V is volume of gas 

Q: State whether the sequence, whose nth terms are indicated, is bounded and whether it is eventually m...

A: let  an=n9n

Q: Calculate the work done by the force F(x, y) = x3yi+ (x - y)j along the parabola y= x2 from (-2, 4) ...

A: To find the workdone

Q: Write the first five terms of the sequence, give the exact answer: { too n+23 T=1 Determine whether ...

A: On solving this we will get

Q: Calculate arc length between s=0 and s=a

A: We need to find arc length.

Q: The figure below shows a sector of a circle with central angle 0. Let A(0) be the area of the segmen...

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Q: Let C be the curve y = x + In x for 1<x < 4. (a) Set up, but do NOT evaluate, a definite integral fo...

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Q: The sum of the series n-16) is: A) 1. B) 2. C) D) E) Diverges.

A: topic - series convergent and divergent

Q: Jsing u-substitution, the integral f(x)dx reduces to a new integral J glu) du. If g(u) = u+1 ', eval...

A: Given that gu=u+1u∫gudu=∫u+1udusolution:let, u+1=xdu=dx∫xx-1dx∫x-1+1x-1dx∫1+1x-1dx

Q: 2. Convert 48 and 95 from base-10 to bases 2, 3, and 4, respectively. Show work. 3. Convert 132 and ...

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Q: 2n n+1 lim n A) e

A: Given,            limn→∞n+1n2n

Q: Find and sketch the domain of the function. f(x,y) = Vy-5x- 6 Find the domain of the function. Expre...

A: We have to find and sketch the domain of the function 

Q: Find the radius of convergence and the interval of convergence. 00 (z+ 6)* k=0 Radius of convergence...

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Q: Some birds fly more slowly over water than over land. A bird flies at constant rate of 6 km/h over w...

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Q: Find r(t) that satisfies the initial conditions: r "(t) = -32j, r (0) = 600 V3 i+ 600 j, r(0) = 0

A: Given problem:- Find r(t) that satisfies the initial conditions: r"(t) = -32j, r (0) = 600 √3 i +600...

Q: A certain lottery has 32 numbers. In how many different ways can 4 of the numbers be selected? (Assu...

A: Question : A certain lottery has 32 number in how many ways can 4 numbers be selected? .

Q: Let f(x) be a continuous differentiable function that f(x)- 4 satisfies lim =D5 %3D x3 x-3 Which lin...

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Q: A graph of a function f is given in the margin. (a) Find the local minimum and maximum values of f a...

A: Given graph:-     To find:-   (a) Find the local minimum and maximum values of f and the values of ...

Q: Find the derivative of the function. 7. x3 + 2 y = e

A: Given:         y = e x3+27

Q: Consider the improper integral dx . What is the appropriate solution and answer x2 + 2x +2 A lim Arc...

A: We can solve given problem as follows

Q: Find dy when X= 4 and dx = 0.2. y 3x-4x + 2x+ 3x -7 y%3Dx

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