True or False: To evaluate the integral tan a sec" zdx, we save one sec z factor and use sec z = 1+ tan z to express the remaining in terms of tangent.

Q: Find the average value of the function f(x) = (1+æ*) over the interval [0, 2]. Select one: O None. O...

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Q: 1. Given: y = 2x - Find: a.) dy/dx b.) y"

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Q: Given cost and price​ (demand) functions C(q)=110q+43,000 and p(q)=−1.9q+880​, what price maximizes​...

A: Please see the below picture for detailed solution. 

Q: What is the integrable form of sin-cos-sin0 do? 2 2 (A) 1- u² du B - 2 sinu du u² – 1 du 2 cosu du

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Q: mydx = nxdy Ans. x" = cy"

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Q: Evaluate the flux integral F.S S where S is the surface given by 22 = x? + y?, 0 < z< 4, oriented up...

A: We have to find the flux integral according to the given information

Q: 3. Iim Sin 5x (-) (+) fcx) fcx) - 0-2 o. 84147 0.2 0.24147 -0.02 0.99833 0.02 0.99833 -D.002 0. 9999...

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Q: 1. List the first five terms of the sequence (-1)"-1n An n! + 3 n > 1.

A: We have to find first 5 term of Given sequence.

Q: 11 11 | 6g (x) – 10f (x) dæ given that f (x) e dæ -7 and g(x) dx - 24. 9.

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Q: eiz-e-iz 1. Show that Sin z 2i

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Q: t T F(x) = | In(4 - t) cos dt 9. 3 Find F(3) b. a. F'(3) F"(3). You must show your work. C.

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Q: +00 S" x?dx

A: To write that the given integral is improper or not.

Q: 5. Sketch the graph of the logarithmic function f(x) = log, x, State the domain, range and asymptote...

A: This question is based on Logarithmic graph and it's properties.

Q: CHAIN RULE DERIVATIVES Directions: Differentiate the given fnctions 7) gx) = 13lbc" (5bt 4c t 9)s

A: Given function g(x) = 13bc3(5b+4c+9)5 Find:- Find differentiation with respect to 'x'

Q: Solve for the angle in the equation. * a. sin (30 + 72)° = cos 48° b. 4 sin? (§) + 8 cos () – 7 = 0 ...

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Q: I. Solve the following: 1. Given: y = 2x - Find: a.) dy/dx b.)y" 2. Given: 16y – 9x? = 144, find y" ...

A: Given  1. y=2x-13+43x-2 if x=22. 3x+4y3=5 If (3,2) To find slope m:

Q: dx =In[F(x)]+C•What is F(/3) if C= 0? nk+1) For (x+x³) (x Tan

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Q: 3. The surface of an island is defined by the function z = e-(x<+y²)/8 – e-2 over the region on whic...

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Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the c...

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Q: Graph the given piecewise Function

A: We need to graph the given piecewise function.

Q: Find the local maxima, local minima, and saddle points of = f (x, y) = x? +y* + 2xy %3D Identify x,y...

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Q: Let a = ci + jand b = 3i + 6j. Find c so that a and b are orthogonal. %3D c = i If L is a line in 2-...

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Q: Find the area of the region bounded by the curve y=1--x? and the x-axis. 8 square units 4 square uni...

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Q: 1. y = x - x'cosx + 2xsinx + 2cosx 2sim x-1 2. y= cosx+2 3. tan(xy) + xy = 0 4. y= x 5. y = xArctanx...

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Q: Which of the following is an improper integral? In(x++1) dr -1 dx -4 x2-x- 2 dx 2x + 8 In3e COsx xe ...

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Q: Suppose the closed curve C in R? starts at the point (-1,1), goes along the parabola y = x2 to the p...

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Q: y'dx +e* dy = 0 e* +y =c Ans.

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Q: dx For (x+x³) (x Tan-'+1) =»[F(x)]+C. What is F(/3) if C = 0?

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Q: dx For - = In[F(x)]+C•What is F(/3) if C = 0? (1+x;_u®_L x)(;x+x) 6. + + -15

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Q: I Find the second derivativety") of the following functions and simplify the final results. 1. y= x-...

A: Let's find. 

Q: Question 10 What is the integrable form of dx? A du B du du D du

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Q: I Find the second derivative (y") of the following functions and simplify the final results. 2sin x-...

A: topic - double derivative of a function

Q: hotel rents rooms to customers by the night. The hotel determines that if it sets the price of the r...

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Q: Given revenue and cost functions R(q)=90q−0.3q2 and C(q)=14q+550​, find the marginal profit at a qua...

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Q: dx - = In[F(x)]+C•What is F(/3) if C = 0? For (x+x³) (x Tan-lx+1) -1 + - -1

A: Solved below

Q: Consider the function fix) - sin x. Complete the table below and sketch its graph. 011/6 11/2 Sn/6 7...

A: Solved below

Q: Solve simultaneous equation dx/dt=x+y , dy/dt=4x+y , t=0 , x=2 , y=5

A: First I have written the differential equation into operator form and then reduce it into linear dif...

Q: For S dx -=In(F (x))+C. What is F (/3) if C=0? (*+**) (xtan-(x) +1) A - 6. B 3. D 3.

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Q: y"(x) – 4y '(x) + 4y(x) = 4e²x; y(0) = -1, y'(0) = -4 Answer: y(x) = e?x (2x² – 2x – 1)

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Q: F (x. y) =- 3x2+3y2-18y+15 4- /2x+4y+4 a) Find domain b) Draw sign Diagram

A: Given Functionfx,y=3x2+3y2-18y+154-2x+4y+4We will find the domain and Draw sign diagram

Q: In (n/e) S(2- sec?x) m® sec³x -dx What should be the value of A for to be integrable using the formu...

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Q: Let f(x) = (x - 3)-2. Find all values of c in (1, 4) such that f(4) - f(1) = f'(c)(4 - 1). (Enter yo...

A: topic - mean value theorem

Q: Find the dimensions of a rectangular lot with perimeter of 300m and whose area is maximum. Use Opti...

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Q: dx Evaluate Зх — 12

A: Solution:

Q: A particle moves along the x-axis (units in cm). Its initial position at t=0 sec is x(0) = 15. The f...

A: Acceleration

Q: Given

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Q: Profit of a Vineyard Phillip, the proprietor of a vineyard, estimates that the first 10100 bottles o...

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Q: Integral of tan^5(x) dx Show Complete solution

A: This is a problem of differentiation. By general formula we will solve the question. Assume, secx = ...

Q: 3 Determine the equation in the form f(x)%3= for the function with a vertical kx - c asymptote at x ...

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Q: Calculate the arc length of the following vector function. E(1) = 4 In i+j+ 4t k; 1sts2.

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