3 da IV9z2-4 o+ (z등) o 음sec-l (금) + C ○ 을sin-1 (을피) + C 0 3sin-1 (을2) +C O 3 sec -1. (을띠) + C

Q: 2. 3. yo. %3D CX %3D

A: Let's find. 

Q: 3. a) Use the Chain Rule and the fact that |x| = Vx2 to show that d dx |x| b) Sketch the graphs of t...

A: We will use the give solution as we are instructed.

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A: Explained below 

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A: Topic:- calculus

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A: Given:- 1. ∫(sec2θ - sinθ)dθ2. ∫secy(tany-secy)dy

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Q: 13. The cost of a data plan is $45 a month, plus $0.40 per gigabyte of data downloaded. Let f(x) be ...

A: Given: $45=fixed Cost of data plan$0.40=variable cost of data per gigabyte or gb$2=fixed part of con...

Q: y2)dx = xdy when X2 ; Y- 3

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Q: 2. Letgx-15x+2,-2,x+2, x0. Does the limx - Og(x) exist? If yes, give its value. If not, why?

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Q: 1. Let R be a relation on the set A = {1,2,3,4,5,6,7,8} defined by aRb if and only if 2a/b?. That is...

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Q: 25. Evaluate the following definite integrals. e) L, 3wv4 – w2 dw

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Q: x In(x) dx, where x >0

A: Given query is to eveluate the integral.

Q: Graph of f 8. 7. 6. 5. 3. -10 -9 -8 7 -6 -5 -4 -3 -2 -1 3 4 5 8. 10 -1 -2 -3 -4 -5 -6 -8- 6.

A: Solution

Q: Use the trapezoidal rule with n = 5 to approximate cos(a) - d.x Keep at least 2 decimal places accur...

A: ∫15cos(x)xdx ; n=5

Q: The graph of f', the derivative of f, is shown below. Determine all possible inferences that can be ...

A: Let's find. 

Q: f(x, y) = 2x- xy + y, find (a.)and (b.) at (Xo, yo) didirectly from the definition. dx dy

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Q: Determine the maximum and minimum points of the given functions below. g(x)=x6−2x5+8x4

A: Here we have to find the maximum and minimum points of a given function g(x), we have use first and ...

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Q: 2. Let a > 0. Find formulas for the following indefinite integrals (these are not all inverse-trig i...

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines...

Q: For f(x, y) = 2x3 + x²y? – 5ya + 10, Find fgi Find fax: Find fxy

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Q: 3] By using the properties of dot and cross product, prove the following: a) (ü x 7). v = 0. b) (w –...

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Q: 5. Find a polynomial with real coefficients that has the zeros 2,3i, and -3i. (Write it without comp...

A: zeros is given 2, 3i, -3i

Q: Question 2 We consider compound interest with a nominal annual rate r compounded n times per year. T...

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Q: 19. Differentiate the following functions. c) y = Vx ++ Vã sec (x³+1) cos ya d) y =

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Q: 8. Find the limit, if it exists, or show that it does not exist: 2х-у a) lim (x,y)→(1,2) 4x²-y2 ху+у...

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Q: If you integrate the below integral successively for FIVE TIMES, how many terms including the C will...

A: ∫exdx1.Integrate with respect to xex+C12.Integrate with respect to x∫(ex+C1)dx=ex+C1x+C23.Integrate ...

Q: 14. Eväluate the following imits. 3x2+2x+1 lim x3+3x+2 c)

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

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Q: GENERAL INSTRUCTIONS: 1. Find the Indefinite Integral 2. Show your solution legibly on a short bond ...

A: Since we are given with multiple number of questions and our guideline is solve the first question o...

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Q: Find the area of the shaded region. y y= v x 1 1, 1) X= 27 1 y = 10 15 20 25 2. 4.

A: Given query is to find the area of the shaded region.

Q: 27 Given Cost and Revenue functions C(q) = q° - 10q +56q + 5000 and R(q) = - 3q + 2600q, what is the...

A: Let's find. 

Q: 19. Differentiate the following functions. e) f(z) = z? cos 2z + z sin (z?) f) y = In ( sec 2x + tan...

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Q: Question 1: The lateral surface of a (right) cone is given by LA = TrVh² + r2 where h is the height ...

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Q: First make a substitution and then use integration by parts to evaluate the integral 9x³e*´ dx Note:...

A: A detailed solution is given below 

Q: Identify all singular points and points of discontinuity of the given function. (Enter your answers ...

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Q: Evaluate the indefinite integral sin (t)cos (t)dt

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Q: sec x dx 2. Vcot x

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