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Q: TT 21/3 TT/3 -2 -1 -TT/3 TT -5 -IT

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Q: 33. 4x? + 4у? - 9 %3D 16у

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Q: 10х? + 11ху + y .2 lim +,9) ->(-1,10) 10х2 — 39ху — 4у2

A: Introduction: If a function f(x,y) of two variables x and y, is continuous at the point (a,b), if…

Q: 2. S dy 3ylny/9ln²y-25

A: To evaluate the integral: I=∫dy3y ln y9ln2y-25...(1)

Q: So dy y2+9' Evaluate 4. k/6

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Q: ne 5) Lim 34 +7

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Q: Evaluate } L 3s+1 -1 s2 +6s+13

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Q: 5 Lim 34 +7 y?_2

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Q: (3) lim, »00 =? I-3 O a. ed O b. 6 O C. -6 O d. e-6 О е.1

A: Given: The function is, limx→∞x+3x-3x The objective is to evaluate the value of the function.

Q: 25. Evaluate when a = 15: 2(a - %3D 5) + 2 *

A: Given, Value of a=15, and expression which we have to solve for value of a=15 is : 2(a-5)+2

Q: 135 5. y = x³, y = x + 6, and 2y + 2 = 0 (Answer: S. u.) 4

A: The region bounded by the curves y=x3, y=x+6 & 2y+2=0 is:

Q: 04:50lve The Ivpain 0 2+ 3५-2५-0 364-364+13y-o

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Q: dy 5-9у2

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Q: Bonus Home work O Show why the erfla) + erfe (x ) = 1 is satis fied ?

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Q: the grotup5 Hneartyin tefentent 5 -16015ण (2)07") 3 +0 गईबट नगर Rि ' न thर 8cle

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Q: O Tirscoping Hries 3 n2+7n + 12

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Q: 2. Explain how to solve the following problems by reasoning about a strip diagram.

A: Given that fruit juice and bubbly water are mixed in a ratio of 3 to 5 to make punch. This implies…

Q: (х, у) (y, x) > y 5- K -5. 5. M 1.

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Q: 1 L use convolutions sʻ – 5s +6

A: Definition: Convolution of function ft and gt is denoted by f*g and f*gt=∫0tft-vgv dv . Note : The…

Q: 10) In = e3x a) 3x - In 8 b) 3x + In 8 c) 3x - In 3 d) -3x - In 8

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Q: 2.6.49 9- Use - o or 0o where appropriate = JO au pue ane uouny upeo pug (B)-20) (X u O) JAIR-10)

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Q: Evaluate 7/4 5 – 2 sec z tan z dz 7/6 0.20 0.50 0.30 0.80

A: We will solve this question by using simple properties of integration.

Q: 4. Þ(17) Answer: Show your work or explain your reasoning here:

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Q: /- wiite ay 2. -5

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Q: E Fx=0 4P 122 - 20 = O 5 13 3P + 80 = 0 -(2) 5 13

A: 4P/5 -12Q/13 - 20 = 0     ............(1) 3P/5 -5Q/13 + 80 = 0      .............(2) multiply…

Q: S2 - 5* dr = 25 +C In 5 2-5- O True

A: We have to choose the correct option according to the given condition

Q: 2. Eind. the.zlume.charg.deusity.at. P(-2395). 5x2 !!

A: For the solution follow the next step.

Q: 3) 3R2 + R1 R1 > 4 5 1 -1 2 -7 ,о1: iotion or

A: Given the matrix

Q: What is the fifty-fifth term of 1, -1, 1, -1, . A) o в) 1 (c) -1 D infinity

A: Given that: 1, -1, 1, -1, ....

Q: 2 13059, Σxy - 20493, and r- 0.

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Q: Consider the following. y 10r (4, 9) 8 (0,7)

A: (a). Obtain the least squares equation: Given data represents the graph for the dependent variable…

Q: %3D 3 n+1 3. O Option 4 O Option 3 3 3.

A: We have the given series as ∑i=n∞13i On expanding the series, we get the result as…

Q: 4/3 5.) What is the quotient of- and ?

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Q: - Tt/2 4cose Evaluate p³dpd0.

A: Given:          ∫0π2∫24 cosθρ3 dρdθ      =∫0π2∫24 cosθρ3 dρdθ=∫0π2ρ4424…

Q: 1 dr r/9 - 4 In(x)

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Q: 7) tan Z 29 Y 21 20

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 4) What is x to the power of -6?

A: To determine the expression for x to the power of -6.

Q: 7. Simplify. Give the excluded values æ(x+4) x(x+2) 2(x-3) 2(x-5)

A: Now , we simplify the given problem.

Q: tell me at lease three statements showing what you know about the fraction 3/4

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Q: 1 3. What happens to the fraction - as x → 0? As x → 0?

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Q: 5 Gin Ococodo sin 20 + 3rino-4

A: We will find the integral using the method of substitution.

Q: nown belOw: [5 31 T -41 by L-3 -2] [ 3] А. 1-11 6| В. |11 c. |-11 6| D. |-11 -6

A: Given matrices are 53-3-2   and  -43

Q: -71/3 < -7x-8/3 lessthanequalto 2

A: Given, inequalities

Q: nx +x od is us 5 10-3

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Q: 11) Is the Discriminant Positive, Negative or Zero ? 3- 2+ -1- -2-

A: From the given graph we can easily find two roots of the given function. Discriminant of a quadratic…

Q: ) 34 , find au aк (enteX) The end resurt is known: 2xy 2х (x*+yoy -2xy (x*ty=ja

A: Partially differentiate with respect to x.

Q: 3 4 Using appropriate substitution, evaluate: 1- 2x

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Q: Y 17 16 141 13] 75432m0イ2 5 1617 11 121 1回1 -4 -7 210

A: The given line passes through (-3,-4) and (5,5)