3) We have the following regression model explaining the behavior of R&D expenditures in 18 sectors of the economy using sales and profits as independent factors: R&D, = -139.392 +0.012 ales), + 0.239 (Profits) The following auxiliary regression was estimated: Residuals? = 695.19 + 1349.7(Sales) -19656.9 (Profits) - 0.0027*Sales? 0.1163 Profits? + 0.0501 Sales*Profits R? = 0.889 Test for heteroscedasticity at 1% significance level.

Q: 4 2 G F -8 -4 -2 2 10 -2 -4 E 10 K 00

A: Formula for area is length multiply by breadth. Similarly for square its a^2 if side of square is…

Q: -5 dx Evaluate 2x 10 A B c) 1 (D) 2

A: formula:

Q: 30 Evaluate (1 + i)

A:

Q: a3-16a

A: a³−16a ⇒a(a²−16) ⇒a(a² −4²) ⇒a(a+4)(a−4)

Q: 100 Find the coefficient of x10 in the expansion of (2x +;

A: To find the coefficient of x10 in the expansion of 2x+1x100 we will use(r+1)th term in the expansion…

Q: 1 1 dx 3 5 x +x4

A:

Q: Find the coefficient of x5in the expansion of (1 – 2x + 3x2)5

A: I have solved Algebraically

Q: 3. 8-18 2エ-3 %3D

A: Given, 814-x = 92x-3  We will find the value of x

Q: 9 – 4x > –3

A: The given inequality is 9-4x>-3

Q: Write the binomial expansion for (x + 2)°. (x+ 2)° =D

A:

Q: 3 dx 9

A: The given integral is: I=∫x3x2-9dx

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A:

Q: 50/21 simplest form

A: Compute the simplest form of 50/21.That is, divide 50 by 21.

Q: How many terms are there in the expansion of (4.x + 7y)0.+ (4x- 7y)10 ?

A:

Q: Find the 7th and 11th term of the expansion (y − x)^14

A:

Q: 1 3] [1 3 3 0 -1 2. 30 2

A:

Q: 1/4 +5/4

A: Solution: The objective is to find the value of the given expression

Q: Find a if the 17th and 18th terms of the expansion (2 + a)5⁰ are equal.

A:

Q: find the slopet y-intercept the line 2.

A: Given equation of line is  2x+3y=24

Q: Write the first, third and fifth terms of the expansion of (3x – 5y)5.

A: Write the first ,third and fifth term of the expansion of (3x-5y)5.

Q: Find L¹ 1 5 (s²-25) Do not expand. Use a property from 7.4.

A:

Q: expansion of (1-2m)“

A:

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A: We have to evaluate the ∫dx8x-x2

Q: 36 70

A:

Q: In the expansion of (x + 4/x)12, find the term without x. a. 63 360 C. 506 880 b. 126 720 d. 3 784…

A:

Q: Prove that n² +n is divisible by 2, where n E N.

A:

Q: Find the coefficient of x8 y18  in the expansion of (1x2  -4y6)7

A:

Q: Write the binomial expansion of (2x – 1) as a polynomial in simplest form.

A:

Q: 1. Use expansion along the 3rd row -4 3 1 2 -1 1 7 5

A:

Q: efind the intergrationa

A:

Q: 3 S x²_9

A: