lim Xー72 (岩) x2-1 メー lim X-> 2 (2x+x²)

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

A: Given :

Q: For what values of p is the set of ordered pairs {(1,3), (2p, 4),(4,p)} a one-to-one function? A p E...

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Q: 3x3-3 Evaluate lim 4x3 – 5x +7

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Q: tan (x – 2) sin(r – 2)4 Evaluate: lim -

A: we want to find the value of limit   limx→2tan2(x-2)sin(x-2)4

Q: Homework: Homework 1 Find the domain of the function. if x=8 f(x) = x2 if 1sx< 8

A: We will find the domain in interval notation. 

Q: PART II. Solve the following, Show the necessary solution= 4. Find the fourth term in a proportion i...

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Q: Evaluate the algebraic expression for the given values of the variables. -x - 3xy + 3y°; x= - 1, y= ...

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Q: 1 dx x /1 – (In x)² 1

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Q: Find the absolute maxima and minima of the function on the given domain. T(x,y) =x +xy +y - 9x + 1 o...

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Q: Solve and check the equation. 6x - 5(x + 5) = 2x-2 Select the correct choice below and, if necessary...

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Q: Determine the equation of the tangent to each curve at the indicated value. f(x) = (-x^3+ 2)(4x^2- ...

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Q: Use the method of partial fractions to evaluate each of the following integrals. dx 206 J-10x² +9

A: Given:   ∫1x4-10x2+9dx

Q: Given x = 60°, tan š can be rewritten as which of the following? 1- cos 60 1- 2 sin? 60 1- cos60 tan...

A: We can find the answer as below.

Q: Let x be real, what is the value of sin(2Cot^−1(1+x))

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Q: п+1 а) Σ п+1 (-1)"*1 п-1 00 п (-1)" b) E 3" n=1 п 00 п (-1)"(5n–1) Σ 4n+1 n=1

A: In this question we have to determine whether the series is converges or diverges.

Q: The cos'ydy is equal to 3 A. siny + sin?y +sin³y - sin'y+ C sin'y + C 3 1 B. siny – sin³y + siny -; ...

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Q: The sec?ytanydy 4 + tan²y is equal to In(4 + tan?y) + C A. 4 In(4 + sec?y) + C B.- 2 In(4 + tan?y) +...

A: LetI=∫sec2ytany4+tan2ydySubstitute , u=4+tan2yDifferentiate on both sidedu=ddx(4)+ddytan2ydu=0+ddyta...

Q: Let

A: We will find the partial derivative with respect to x. 

Q: Activity 3) Calculate mentally using compatible numbers, special factors & properties. Show all work...

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Q: IV. Find the derivative of the given function. 1. u = t³(sin ln t – cos ln t) 2. y = e-2* (1 + e-2x)

A: 1) Given:          u=t3sin ln t-cos ln t   derivating on both sides     dudt=ddtt3sin ln t-cos ln t ...

Q: Find Vƒ(P) and D7f(P). (a) f(r, y, 2) = yf + z² – 4xz; Ū = } i – $ j+ k; P(-2,1,3)

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Q: 2x – x3 - 1. Evaluate dx. J (x – 1)²(x² + 1) - 2. Use the previous item to determine if the improper...

A: We have to solve integration

Q: Let A = and B = , P = (9, 8, 7) d. find an equation for the plane which contains the point Pand is ...

A: We have to find an equation for the plane which contains the point P(9,8,7) and is parallel to A = &...

Q: Section 3.3 p. 296/298 # 142 Integrate using the method of trigonometric substitution. Express the f...

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Q: Find an equation of the line that is tangent to f(x) = x and parallel to the line y = 3x + 1 (Hint: ...

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Q: Use sigma notation to write the Taylor series about x = 8 for the function. 1 x + 5 k = OW

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Q: 2. Graph the function f (x)= x+ Vlx\ . Zoom in repeatedly, first toward the point (-1, 0) and then t...

A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first ...

Q: 1094 26. A pizza is removed from the oven at a temperature of 425 F. After 15 minutes, the pizza has...

A: 26. initial temperature a = 425 F time t = 15 minutes final temperature y= 200 F    exponential func...

Q: Find the x-values of all points where the function has any relative extrema. Find the value(s) of an...

A: Solution is given below:

Q: (a) State if the following are True or False. You need not show any working. (i) z = 2 – 2i has magn...

A: Let's find. 

Q: Evaluate the following problems. Show all necessary parts of the solutions. 1. The graph of g is giv...

A: Solution: A)A discontinuous graph has breaks or gaps on its curve From the given graph g is disconti...

Q: 19. Consider the parametrization of the unit circle given by c(t) = (cos t, sin t). (a) Verify that ...

A: We have to verify that c is parametrized by arc length and show that the curvature k of c is constan...

Q: 1. Given y= log 256. The value of y=

A: We are authorized to answer one question at a time, since you have not mentioned which question you ...

Q: For the curve x²y²=9 at (1,3) find the equation of normal line

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Q: ketch the region enclosed by the given curves. x 6y2, x 4 + 5y2 y 20 15 10 10 15 20 O-21 20 15 10 15...

A: Given curves are x=6y2 and x=4+5y2 Sketch the region and find the area

Q: b) What could be the degree of f(x)? -3 2. -1- c) What is the sign of the leading coefficient? -4 -3...

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Q: Which of the following is an identity? sinBsecBcotB = sin²B/cos²B sinBsecBcotB = 1 sinBsecBcotB = c...

A: sinBsecBcotB  secB = 1/cosB  cotB = cosB/sinB  So now put all this value in given function  sinB(1/c...

Q: Solve the differential equation (r² + 1)y – 2ry – 2x = 0 using the method of exact equations;

A: Differential equations

Q: .......n....... ..... Sketch the regions enclosed by the given curves. y = 2 cos(4x), y 2 sin(8x), x...

A: Given problem:- Sketch the regions enclosed by the given curves.   y = 2 cos(4x), y = 2 sin(8x), x=0...

Q: Ex/ show that f(x) = x+7x + 4 x + 1 has an inverse. %3D

A: In this question we have to find whether the function has an inverse.

Q: Find the derivative of the function using the power rule.(5 pts each) (a) f(x) = 3/5x5 − 4x −4/3x-3 ...

A: a.

Q: Solve the equation by the method of your choice. 5x - 9x – 14 = 11- 9x The solution set is { }. (Sim...

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Q: Pls help ASAP. Pls show all work and calculations. Pls keep in mind to use high school equations and...

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Q: Use the disk/washer method to set up a definite integral (set up only, do not evaluate the integral)...

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Q: dy sec x.tan x dx 1- sec' x

A: differential equation

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the s...

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Q: Evaluate 4dx (5x – 3) O 4/5 In(5x-3)+c O 5/4 In(5x-3)+c 5 In(5x-3)+c O 4 In(5x-3)+C

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Q: Find the area of the region that lies under the graph off over the given interval. Solve using LIMIT...

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Q: . (Subsonic flight) The efficiency of the engines of subsonic airplanes depends on air pressure and ...

A: y'(x) ∝ ydydx = -k y(Pressure decrease with moving above sea level)∫ dyy = ∫ k dxln y = -k x + ln Cy...

Q: EF = (6x – 4y, z – 4x, y – 8z), then V × F = 0.

A: Topic:- application of derivatives