1 7. lim 3x8 (x5+ (2х-3)3 х-+00

Q: 24. Maximizing Area A wire 10 cm long is cut into two pieces, one of lengtn other of length 10 - x, ...

A: First of all we need to find the function for total area of squares. Then for minimizing need to fin...

Q: Make a conjecture about the derivative by calculating the first few derivatives and observing the re...

A: Here, to make a conjecture about the derivative by calculating the first few derivatives. ddx(sin x)...

Q: Consider the function shown below. V. 4 8 What type of function is shown in this graph? O A. density...

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Q: tion f(x) = x cosx.

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Q: Find the equation of the tangent line to the graph of a+ y = 3 at the point (1,4). 1) y - 4 = 2(x - ...

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Q: 2) Find the equation of the tangent plane to f(x,y) = e*y + y?e1-y at (0,1).

A: Given fx,y=exy+y2e1-y Point of Tangent x0, y0=0, 1

Q: Bessel's Function Find Jg (x), JE cx)

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Q: 31 'dt = +C 3lnz A True B False

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Q: Find dy/dr for the following function y = cot-1 (x + sin? (5*))

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Q: 1 The region bounded by the graph of f(x) and the x-axis between x = 0 and x = 9 %3D 1+ x2 is revolv...

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Q: -4 -4 At the point shown on the function above, which of the following is true? Of' 0 O f' > 0, f''...

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

Q: (3х-5) 9. lim x--1+ x+1

A: This is a question of limit of the function. First we will try to convert this function into most si...

Q: dy Given that y = x² log2(6 – 5x), find dx

A: This question can be solved using product rule of derivative.

Q: Q#3.1 A gate in a canal is made in the form of a trapezoid 7m wide at the bottom, 37 m wide at the t...

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Q: dy x+3у 5- dx 2х

A: Given:      -dydx=x+3y2x

Q: Let the demand function for a product be given by the function D(q) = – 1.55g + 300, where q is the ...

A: The demand function is: D(q)=-1.55q+300 where q is the quantity of items in demand and D(q) is the p...

Q: Use the Integral Test to determine the convergence or divergence of the following series, or state t...

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Q: To evaluate Je ?" sin(e²^) cos(e²«) dx, we let u=e A True B) False

A: Integration true or false

Q: 'ind the average rate of change of h(t) = 3 c on t-3 [1,1+ h]

A: Topic:- calculus

Q: The above is the graph of the derivative f '(x). How many critical points does the original function...

A: How many critical points of f(x)

Q: DO NOT include spaces in between characters. * Determine the point/s of discontinuity, if there is a...

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Q: After t days of advertisements for a new laundry detergent, the proportion of shoppers in a town who...

A: I am attaching image so that you understand each and every step.  

Q: Find the area of the given region using any method. 1 y = 9 - x2 y 1.5 1.0 0.5 -1 1 -0.5

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Q: Evaluate the improper integral or state that it is divergent. (Hint: change to limit then factor the...

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Q: Evaluate the improper integral or state that it is divergent. (Hint: change to limit then use the fo...

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Q: Find the differential of the function y = f(x) . f(x) = (5x² + 7)/3 dy =

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Q: 31 'dt = +C 3lnz A True B False

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Q: f(x) = (r - 4)/ +3(x – 4)/*. Label any intercepts, relative extrema, points of inflection, holes, an...

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Q: Use traces to graph and name the surface

A: The given surface is: x24-y29+z216=1...(1)

Q: a4 a*dy= +C Ina A True B False

A: topic - indefinite integral

Q: Evaluate the integral below using any appropriate algebraic method or trigonometric identity. T/2 1 ...

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Q: Q2: Use Cramer's Rule to solve the system:- 4х — у +z%3D-5 2x + 2y + 3z = 10 5х — 2у + 6z 3 1

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

Q: Use the total differential to approximate the quantity. Then use a calculator to approximate the qua...

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Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. Зд 2 = sin...

A: topic - sequence and series

Q: The value of | 1/a da is O e+C O +C O a 2 + C O In(r|) +C O None of the others.

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Q: The slope of the secant of the graph of y=2x2 -3 through the points at which x = -2 and x = 1 is 1) ...

A: Given:      y = 2x2 - 3  Points : x = -2 , x = 1

Q: Find the time functions for each of the following Laplace transforms using partial-fraction xpansion...

A: As per our guideline, we are advised to solve first 3 subparts of the question . So please ask other...

Q: Evaluate: A 4e". 4e+C B +C +C 4 D +C E None

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Q: range of the function. (a) If f(x) = 3x + 4, find the image of 4. (b) If f(x) = 7x + 5, find the ima...

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Q: Determine if the sequence {a,} converges or diverges. Find the limit if the sequence converges. (- 1...

A: Here we have to determine whether the sequence {an} converges or diverges.

Q: Evaluate: 3 +4dy

A: ∫ 3y3y+4dy  

Q: The right endpoints approximating R, is n always an over-estimate for the area under the graph of f(...

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Q: dx 2+x?

A: Given, ∫dx2+x2 We have to integrate it.  

Q: c.Find the first four non zero terms of the Maclaurin Series for the given functions. Write the powe...

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Q: If f(x) = 9a'm(z), find f'(9).

A: This is a basic differentiation problem

Q: Gravel is being dumped from a conveyor belt at a rate of 30 ft/min, and its coarseness is such that ...

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Q: Evaluate the improper integral or state that it is divergent. (Hint: change to limit then do u-sub) ...

A: The integral is given by I = ∫-∞015x-12dx Formula Used: ∫u-ndu = u-n+1-n+1+C To evaluate: The value ...

Q: Find the derivative of the following functions using the definition of the sine and cosine function....

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Q: Use Simpson's Rule with n = 4 steps to estimate the integral. dx O 18 O 15 36

A: Given:    f(x) = x  Limit: 0 to 6    n = 4

Q: A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German pe...

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