If x* + x²y² + y+ = 21 and x² + xy +y² = 7, then the value of (

Q: -2 -4x S so*x²dydx

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Q: If 2x + 3y = à and -x + 5y = 6b, express x and y in terms of à and b.

A:

Q: Determine whether y → ** or y → -* as x- * and x- *. y= -7x2 + 7x3 + 6x - 4 O y- * as x- .*; y - .…

A: Given function : y=-7x2+7x3+6x-4 To determine the limit of y we need to substitute the limit of x…

Q: Differentiate and simplify: y= (3 – 4x)²* O a.y' = - 2(3 – 4x)²*-4x + (3 – 4x)In(3 – 4x)] Ob.y'= 2(3…

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Q: Set B (x+7)(x-3) 20 20 x+6 x+7 <0 x-5 x+3 20 x-10 1. x-1 x+3 3. 2.

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Q: Which of the following is equivalent to (1-x)(1+x) - 3x (2-x)? A. 3x² - 6x +1 B. -3²-7x + 1 C.-4x² -…

A: Recall: (a+b)(a-b)=a2-b2

Q: x = -1 if y=u° +5u – 4 a

A:

Q: If z = x* - 3x2 + 6x + 5y3- 7y + 7, find az az and ax ay az ax az ay

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Q: Show that if x > 0 and |x² – 9| < 2, then |x - 3| < 1.

A:

Q: The output of an OR gate is 1 if both inputs are 1 1 if both inputs are zeros 1 if one input is 1…

A: An or operator is a logical gate operator that provides an output value in accordance with the input…

Q: ,(x) = (x-x+1) y'(x)+3y'(x)+9 y(x) = 5x' +1 true false

A: False

Q: If h(x) = x² + 2 then h*(11) + h(-4) is

A: We have to find the value

Q: at is the end behavior of each of the fo 1. y = -4x3 + 2x? +7 2. y = 2x - 3x + 4 3. y = -x³ + 2x5 -…

A: We have to find the end behaviour

Q: Sketch a graph of each function.

A: Given function is We need to sketch a graph of f(x).

Q: If y = 3u² + 2u and u = √² +5, fip S da would be: (6√2²+5+2)(√) (6 (3u² +2u) + 2)(√5) ○(3√2²+5+1)(√)…

A: We can find the derivative as below.

Q: If [2x 3] 23 1. 2 13 2. 2 3. 4. - 13 2 23 2 1 2] [x] -3 08 = 0, then the value of x is

A: 2x312-30x8=02x-94xx8=02x2-9x+32x=02x2+23x=0⇒2x2+23x=0x(2x+23)=0⇒x=0 or 2x+23=0⇒x=0 or x=-232

Q: (-2 if XS-1 S(x) = {x² -3x+8 if if -1<x<2 x22

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Q: 2 dr sech 2r= e2r +e-2r A) True B) False

A:

Q: if x = 2 y = 4.3 en

A: given curve dydx=xy13 initial condition y1=2 and step size h=0.5 use improved euler method find the…

Q: Select all equations that are equivalent to x2 + 6x = 16. O x² + 6x + 9 = 0 O x2 + 6x + 9 = 16 O x2…

A: Use the formula x2+2xy+y2 = (x+y) 2

Q: If [2x 3] 1 21 -3 0 8 = 0, then the value of x is

A:

Q: -5 0. 10 O 2x + 3y < -12 2.x 3y< 12 2x 3y < 12 2x 3y 12

A: From graph the two points on x and y- axis are  (6,0),(0,-4) Here there are no 'or equal to' symbols…

Q: What is the end behavior of each of the following 1. y = -4x3 + 2x? + 7 y = 2x - 3x + 4 y = -x3 +…

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Q: on Ax) = %3D , as x →-o? x - 6x + 5 ' .2 - 6x+

A:

Q: If x, y and z are real numbers and x*y°z0 > 0, which of the following must be positive?

A: Given  x8y9z10&gt;0

Q: ind value r(x + 2)

A:

Q: If a x b = 2a - 3b + ab, then 3 x 5 + 5 x 3 is equal to?

A: Explanation of the answer is as follows

Q: If E[X] = 2 and Var(X) = 5, then E[(4 + 5X)2] = and Var(5 + 4X) = %3D

A:

Q: • If x = -0.8 , then [x – 1] = %3D %3D 1. -2 2. -1 3. -0.8 4. 1 1 2 3 4 O

A: We find value of greatest integer function [x-1] if x= -0.8

Q: and y = 10x - 16 respectively are x = 2 and x = - 8 O x = 2 and x = 8 O x = – 2 and x = 8 O x = - 2…

A:

Q: When x = 3, y = -2 and z = -1, xy – x²z + 2xyz + y°z = -21. O True O False

A: Consider  xy-x2z+2xyz+y2zsubstitute x=3,…

Q: If ( x+2 y)= -4 and am = 6, then 2amx+4amy %3D %3D O 2 О -24 О 48 О 24 O 4

A:

Q: 21) Differentiate implicitly x² = x²y+2y²

A: Given: x2=x2y+2y2

Q: If 1/6 of x - 7/2 of 3/7 equals - 7/4, then the value of x isA -1.5B 3C -2.5D 6

A:

Q: If fx)=5x-1, g(x)=1/x, and h(x)=g(fx)), then what is h'(0)?

A: Given that h(x)=g(f(x)) Using chain rule we get: h'(x)=g'(f(x))f'(x) We plug x=0 So,…

Q: In l-1x+11-In !2x + 31) +C (2)C1)-(3)(-1)

A:

Q: (19) ds dt t= -1 if 5=1-3t

A: The given function is s=1-3t2

Q: If 1 A = -9 6 1 6. 2 -T and Q(#) = ' Až, then Q(z1, 12, T3) = Enter z1 as x1, 12 as x2, and 13 as…

A:

Q: If ||X|| = 3, ||Y|| =1 and X Y = -2, then (X - 2Y) (3X + 5Y) is equal to

A:

Q: x² + y² - 2x + 24y+129 = 0 O (x-1)² + (y + 12)² = 16 O (x-1)² + (y +12)² = 154 O (x-1)² + (y+12)² =…

A: Add 1 and 144 on both side

Q: • If x = -0.8, then [x] + x = %3D 1. -0.8 2. -1 3. -1.8 4. 1 1 O 2 O 3 4 O

A: Given  x = - 0.8 To find [x] + x

Q: Eliminate the arbitrary constant in x^3 - 3yx^2 = c. *

A:

Q: Compute A B, where A AB= 0 -2 2 -2 0 2 -4 7 8 -5 -1 2 and B = 8 -2 1 -5 -1 3

A: This question can be solved using the concept of multiplication of matrices.

Q: If X~N(0,1) then X2~

A: In question,  Given that X~N(0,1). Then we'll find the distribution of X2. he solution is below,

Q: * If.4 -2 1 A = -3 5 -1 Then adj(A) %3D 3. 2.

A: 4.find adjoint of matrix A

Q: Compute the value of 9x2+4y2 if the xy = 6 and 3x + 2y = 12

A:

Q: The value of x such that 8x+4, 6x-2, 2x +7 will be consecutive terms in an AP is

A: If a, b, c are consecutive terms in an AP then 2b= a + c

Q: Show that if (B) (C) = 3x N (AB)_ (BC) (CA) =y, N (A) = x, = 2x, and N N N then the value of neither…

A:

Q: If x is not equal 3, which of the following is equivalent to 5x = 8+ 12 2-3 05= 20 2-3 I-3 12 1-3 5x…

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.