Evaluate the following r+1 (1) -1+1 (i) 1² – x + 2

Q: Why must nCr always be less than or equal to nPr for any given n and r

A: Permutations and combinations are given.

Q: Evaluate the following. √(- -18t² 4 +5t dt t

A:

Q: 1. Simplify the following expressions: a) (x– 1)(x+ 2) b) (х- 10) - (х — 2) c) 4(x – 1)(x+ 1) + 2(x…

A: topic - simplification

Q: Evaluate xdx A√²+x+1-³x+2+ √(x + 2)² +²1+C B. √² + x + 1 - ² 1 x + ³ + √(x + 2)² + ² 1 + C…

A: To evaluate the given integral- ∫xdxx2+x+1

Q: 1. Expand and simplify the following expressions a) (x + 1)(x + 3) c) 2(x – 1)(x – 2)

A: Topic = Algebra

Q: Simplify the following by combining the similar terms. 1. 2а + Зу + 4а - %3D 2. 7с - 2с + 9w %3D 3.…

A: 1 Given expression is 2a+3y+4a. We have to simplify the given expression. Regrouping the like term…

Q: The most conveneient way to evaluate x² – 4 by substitution is to let x2 – 4 =y A True B False

A: On solving this we will get

Q: I used the correct excel table and got all the answers on point and still struggle to find the one…

A: Given that The anovo table Formula for F F=MSTreatment/MSError

Q: 4. Try to rewrite the following questions into a standard form, import loose variables and establish…

A: We have to rewrite the given problem in standard form and establish their initial simplified form.

Q: Find the Dervative of 23 x2 - 2x find r %3D

A: Given  Now first derivative is

Q: For the part circled in purple, is the +1/5y ^-4/5 supposed to be plus? I thought it was supposed to…

A: Given Equation             x15-y15=1Now differentiate with respect to x we get that As we know that…

Q: Consider the following. x2 + 2/3xy-y2 + 8 = 0

A:

Q: 1. Explain in words the error in the work below. 2 – 4 |x – 1| - 2 x - 1>- 2 x -1-1 or x< 3

A:

Q: (4) Evaluate the following 36 (b) (√900)³ -8y05 (c) 4y9t11 (d) Add 5x² - 7x + 3, -8x² +2x-6 and…

A: To find the values of the given expression in simplified form.

Q: Given: 5(x + 2) = -3x - 6 Prove: x = -2

A: 7

Q: Evaluate the followi 2. dt 3-5t

A:

Q: - 4x + 30 -dæ Evaluate (x – 5)(x + 5) + C

A: To solve the given integral first break the integrand into the simple expression using partial…

Q: Evaluate the indefinite wntegral 3tinigas 3. xIn X

A:

Q: Sketch the graph of f.

A: To graph: The function fx=-2x,    x&lt;-1x2,       -1≤x&lt;1-2        x≥1. Graph: The function fx…

Q: (-5x + 4, for x 2 |1, Evaluate fl-1) - f(5)

A: Using the given function f(-1) = (-1)2 +3 = 4 f(5) = 1

Q: Find the following: A1X B-1. 3 4 B = -2 71 A = -5 3 -8 -5 -0.14 -0.37 A-1 x B-1 -0.48 -0.15 -0.14…

A:

Q: Evaluate the following expression for x = -1, y = -2, z = 3: 7x y 2(yz2)

A:

Q: Q1\ Differentiate the following 1)2xsin-13x

A:

Q: For the following, assume y=∑∞n=0 anxn and determine an for n up to 5 and if possible determine the…

A:

Q: 1. Expand the following expressions: a) (x+1)(x-4)

A:

Q: 1) Simplify the following expressions : 15 а) 2z Зх — 7 b) ( 6x + 5)2 13х + 9 6х + 5 x2 + 4x x2- 14x…

A:

Q: Part 4 and 5

A: Part 4. Consider the left-hand side of the equation,

Q: what is the answer to 3a + 11a + 1

A: Adding, 3a and 11a, we get, 14a

Q: What is an equivalent expression for (z+y) (z-y) that is true for all values of x and y?

A: So option (d) is correct.

Q: 2. Simplify the following algebraic expressions 2.1 3a x 2a 2.2 3xy? – 5x²y – 9xy² + 8x²y – 3x² 2.3…

A: GIVEN: Algebraic expressions

Q: Classify the following PDE: a²u a²u a²u -2- = 0 ду? а. 4 əx² a²u b. ду? дхду ди = u ax и С. —2 ихх +…

A:

Q: Evaluate: fevdx. @ -2ev(/x+1)+ Cc A ® =2ev(/x-1)+ c 2ev(/x +1) + C 2ev(x-1) D +C 2

A:

Q: Find the simplified form of the following expression. State restrictions. x²-1 x²-x + x-2 x²+x-6

A:

Q: -valuate the following 3 .4 3 2 x² + 2x³ + 3x² + x + 1 x4+x²

A: A detailed solution is given below.

Q: 2x-1 2

A: Given expression is   2x-114-x2

Q: wanted to know why this is false? I thought if you plug in any positive or negative # in x you get a…

A: Given that f(x) = 3 + x2 -√x is continuous on        {x: -1 ≤ x &lt; ∞}

Q: 2 3/2 (4-x2) x2dx

A: The given integral is (4-x2)3/2x2, limit from 0 to 2.

Q: 6. Complete the following table. a. As x → o, -3x* + 7x- 9 → b. As x → -o, 3x - x³ → 7 d. As x → T,…

A: To find as x approaches a value then what value does function approaches.

Q: Evaluate the following expression using x = 4: %3D 5(2x + 6)

A: 5(2x+6) At x=4

Q: Evaluate the following = (})' ÷ (})° 3 None of the above 1/2 1/2

A: The correct option is 1st option.i.e. 1/2

Q: Explain why the following rules hold true: n√xn = |x|, for even values of n n√xn = x, for odd values…

A: To explain why the following holds true xnn=x, for even values of n.xnn=x, for odd values of n.

Q: 1aar = |1a – 1g| AAB ΑΔΒ

A:

Q: 4. Evaluate the following: 10 > 5x, + 6y, + 3z, If x = 2, y = 1 and z 3.

A: We evaluate above result. Given  X=2, Y=1, Z=3

Q: 1. The following is a result of the simplification of which of the following: x'y3 3 8x*y?, 4x*y3 O…

A: Consider the expression x2y38x4y223. Simplify the expression x2y38x4y223 as follows:…

Q: Evaluate the following: 8x-x 1.) y = required:a) y and y"

A:

Q: 2. a. Evaluate for each of the following combinations: y2 x=-2, y =-4 x=-0, y =-4 x=-4, y = 0

A: Given expression is,

Q: Evaluate the given expression at x = -2. - 6r + 8r2 - 4

A:

Q: what are the first six terms of f(n)= (2n)/(n+2) ?

A:

Q: Evaluate the following for the given values 7xy-y+x-1x=-2 and y=-1

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.