Determine the value of k so that the following sys- tem has a solution 2r1 + 2ra + 3rs =0 4r + 8r2 + 12rs =-4. 671 + 2r2 + kra =4

Q: -9x-17 x+1 1. Perform the indicated operations and simplify x2-4x-21 x-7

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Q: Determine: if S = {4t - t2, 5 + t3, 5 + 3t, -3t2 + 2t3} is a basic for P3

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Q: If m<1 = 6(3x+1)-2, m<2= 3(x+2)+9, and m<ABC= 5(3x+5)+6, find x and m<ABC.

A: Given,           ∠1=63x+1-2           ∠2=3x+2+9            ∠ABC=53x+5+6

Q: (2.1) Perform the indicated operations: a) (6 m² – 3 m³) (2m + n) b) (5x + 7y) + ( -5x + 2y) c) (2x…

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Q: Which of these expressions is the same as I+3+ 2 I+3 Select one: O a. O c. O d. O e. = (x+3)²+3…

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Q: If M = 24a-2b-3c5 and N = 18a 7b6c-4, then =? M

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Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: Let a = 2i - 3j and b= 2j + 3k. Compute for the following: (a + b) · (a – b) None of the choices -8

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Q: Question 3 Consider the differential equation f"l + f' +2f = 0. Given a basis B of the vector space…

A: Solution is in step 2

Q: KD and ZE are complementary. If mZD = 5x + 3 and mZE = 3x – 1, what is x? 081

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Q: 3 | (16t3 – 12t? + 6)dt

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Q: Let A=[-5   -8]            [   7   4]   Find -4A

A: Given the given matrix is A=-5-874

Q: Let A = [0  2]              [5 -2] Find -4A.  -4A =

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Q: (4r2 – 6x + 3) + (2x² + x – 8)

A: Let us consider an expression, (ax²+bx+c)+(-dx²-ex+f) = (a-d)x²+(b-e)x+(c+f)  This is the required…

Q: The largest non-permissible value for x in the expression 10x + 5x? 4x + 20 4x2 8x - 25 + 5x is

A: Solution

Q: If v1 = and v2 = are eigenvectors of a matrix A corresponding to the eigenvalues A1 = -4 and A2 =…

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Q: 1. Find (A-1 B-1), If 0 -2 1 A = [] and B = [ [²4] 0

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Q: Find x, and x2- 30 X2 - 46

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Q: Find the x3 term in (x-1) (2x-2)4   4=n, 5 terms

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Q: Consider the following expression -4n2+6n-3. What is the coefficient of the n2 term?

A: -4n2+6n-3 we have to find the coefficient of the n2 term

Q: Compute: 5 2 3 3 18 2 - 3 5

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Q: Find x if BC=1,AC=x+5 and AB=2x-2

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Q: 18. Which of the following expressions is equivalent to (5x - 4y) (3x – 2y)? Select all that are…

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Q: = B=( nds 2A – 38. Sean A %3D y B = Finds 2A 3B.

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Q: Suppose XY is congruent to YZ. If XY is 8x + 8 and YZ = 2x + 18 what is the value of x? If needed,…

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Q: Determine L¯¹[(5s+3) ÷s² +2s +5]

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Q: can you show A + 2B = 5 and 4A + b = 6 to get A = 1 and B = 2 in case 2,

A: Let's solve.

Q: Subtract (4q - 8) from the sum of (3q² – 7q – 4) and (6q² + 6q − 2).

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Q: B) Find m42 if mz1 = (4x - 7)º and m42 (10x+13)°. +11 = 2 P

A: To find m∠2 if m∠1=4x-7° and m∠2=10x+13°.

Q: x? + 2x – 2 + x? + 3x – 10 5x + 12 Add: x? + 3x – 10

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Q: Find the following expressions if a = (6r, 0, r), b = (6s, –s, 7s), and c = (2t, 10t, 5). a ·b = 1.…

A: We need to find dot product.

Q: x² - 5x + 6.+3 x² -9 5x-10 and write the answer in simplest form

A: Given: x2-5x+6x2-9×x+35x-10 To multiply the answer and write in simplest form.

Q: # show that 18 x +11y = 1188 has solution Since (18₁111 = 1188

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Q: If A %3D аx + За, and B %3D 5ax + 2а, — баz, find @AB- АВ

A: ANGLE BETWEEN TWO VECTOR

Q: Given that 3°x 64 and 5VP = 64. %3D [3x-1]3 Calculate, without the use of a calculator, the value of…

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Q: 4sqrt(2) was incorrect

A: Given:= f(x,y) = x3y2U = (-3,3) P= (-1,-2)   The directional derivative being negative means that…

Q: x – 1 Find + C

A: The given integral, ∫x-1x2dx

Q: 1 L {(e-3* – 2e"}² } 4 4 s + 6 s - 6 S Select one: True O False +

A: here L(e-3t - 2e3t)2  so L(e-6t + 4e6t - 4) so its transform is  1/s-(-6)  - 4/s  + 4/s-6…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.