3r2 +7, r> 2 f(x) = | 5x – 1, r<2

Q: 5) f(x) = x = 4 at V4 -x

A: NOTE- AS WE ARE ALLOWED TO ANSWER ONE QUESTION IN ONE SESSION, SO, I HAVE ANSWERED FIRST ONE FOR YOU…

Q: 3 – x2, 0<x < 1 | f(2) dr, where f(x) = 1<r< 2.

A:

Q: {G) = -2x+5 firid f(2)

A: To find: The value of f1. Given: The function is fx=-2x+54. Calculation: Substitute x=1 in…

Q: X(1+x²), 0< r<2, f(x) = 0, otherwise

A:

Q: f(x, y) = e-(x²+y²)(3x² + y²) Calculate the extreme values of the function: = e-(x²+y²) (3x²+ y?)

A:

Q: x²–1 If f(x) and g(x) = Vx – 1, which will yield (f 0 g)(x)? %3D r2

A:

Q: Solve 2 secx- 5 secx+ 2 = 0 on the interval x e [0, 2x] %3D

A:

Q: 2 What is the value of f'(0) if f(x) = (x² – 2x – 1)3? %3D 4 3 Option 1 Option 2 4 2 3 3 Option 4…

A:

Q: f(s) -3s² – 5 %D S f(s) -2 -1

A:

Q: 4. Find the absolute extrema of f(r) = 7r/3 - r7/3 over the interval [-8, 8].

A: Given function is

Q: Find all values of x satisfying the given conditions. y1 = 11x- 5, y = 4x +4, and y, exceeds y, by…

A:

Q: [x² - y² If f(x,y)=2x-2y m if y = x if y=x then:

A: Given the function,   fx,y=x4-y42x-2yif y≠xmif y=x

Q: 0st<3 -t, 4. Find the convolution of f(t)={2' 0, otherwise 4, -1<t<3 and g(t)=- |0, otherwise…

A: Given:-            ft and gt                 = f×g = ∫-∞∞f t - τgτdτ.…

Q: Use Horner's method to find po=2, Q(2) where f(x)= x³-2x2-5

A: the given polynomial is f(x)=x3-2x2-5 rewrite in standard form f(x)=x3-2x2+0x-5 to find the quotient…

Q: f(x)= 7tan-1(5sin(4x)) f'(x)=?

A: We have to find the derivative of the given function f(x)= 7tan-1(5sin(4x)).

Q: x Q3: Show that csch-¹ (²7) = coth-¹(x+¹) x-1,

A:

Q: 4. f(x) = 4x cosh 3x x² ; f'(2.7)

A:

Q: x+2 Determine the (x,y) location of the hole for f(x)=- x² - 4

A: Holes occur when a duplicate factor is cancelled in the numerator/denominator of f(x).

Q: -2 1 Find / f(x)dxif / f(x)dx = 2 and 3 -2 3 fro f(x)dx - 6. 1

A:

Q: 2(x-1) + If y = Vx? – 2x then y' 3x2-2x T O F

A:

Q: Given 3s2 + 9s – 2 F(s) = (s - 1)(s2 + 4s+ 5) Find f (t).

A: We will find out the required solution Laplace transform method.

Q: OLetL)%3DXD 3X-/0 when x+2-Fénd a value ff(2)that wall !! X-2 make fis Continueus at X-2

A:

Q: 11. x = 2t – 2 and y = -t + 2 for 0 <t < 4 | Domain:

A: In this question we have to find the Domain.

Q: Graph the following functions.

A: The function: fx=-2x-1if x&lt;-11if -1≤x≤12x-1if x&gt;1

Q: x for -n Sx 2n

A:

Q: S2x – 4 x² - 2 find: (a) f(0) if -1 sxs2 if 2 <xs 3 If f(x) (b) f(1) (c) f(2) (d) f(3)

A: As there are multiple sub parts a), b) and c)  are solved here.

Q: how do i find the coordinates of the zeros of f(x) for x e [0 , 2π]? f(x)=3sin2(x-π/3)

A: General solution of sin(x) = 0 is     x = nπ where, n = 0,1,2,3......

Q: - Ix - 0l (i) f(x, θ) = - 2 (-∞<x<∞) 1 f (x, 6) = 5 -(x-6), 0 <x < 8, -8mθ<o. (ii)

A:

Q: Graph the following functions.

A:

Q: f: Z→ No, x→ 2x, -2x - 1, when falls x ≥ 0 falls x < 0 مید ماس

A:

Q: Describe the end behavior for this fucntion F(x)=x^4-2x^2+3

A: The given function f(x)=x4-2x2+3

Q: (-x² +3, 3. f(x)={ Vx-3+1, x>2 %23

A:

Q: 5x -1 7. f(x) = 3. a) HA at b) VA at

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: (2) Suppose f(x) = L 2n² %3D n=0 Find f90 (0). No need to simplify your answer.

A:

Q: Consider F = (4x°y+0, 9x³ + 5y+). Then div(F) = Aæ²y!0 + By³. What is the value of B?

A:

Q: f(x) = -0.1x4 - 0.15x3 - 0.5x2 - 0.25x + 1.2 at x = 0.5 using: first backward difference with…

A: f(x) = -0.1x4 - 0.15x3 - 0.5x2 - 0.25x + 1.2at x = 0.5 using: first backward difference with…

Q: -8x Since f'(x) then (x2 - 4)2' (x? – 4)>(D) - (-8x)[2cx? – 4)(Ox)] _ 8 x2 f"(x) (x2 (y2

A:

Q: The Range of y = [2x + 1] is Z. FO * 2.2 2х-1 If y = Vx? – x then y' 3. 3 Vx2-x F O

A: Given(1)-      y=[2x+1]As we know that is set of all valid output values or all valid y values…

Q: What is the value of f(1) - 168 in [x³ Inx dx = f(x) ((1/4) Inx-B) + C? 0 1 3 2

A: Let's evaluate given integration.

Q: Calculate R4 for f(x) = (x-1)^2 on interval [2.4]

A: the given function f(x)=x-12 on the interval 2,4

Q: x*+4X+3 over the interval [1,4] 2. f(x) =

A:

Q: 1. Find the absolute extrema of f(x) = (x2 – 9)²/3 over the interval [-1, 4].

A:

Q: Determine {F}. F(s) = 7s² - 13s +2 s(S-1)(s-6)

A: Let 7s2-13s+2s(s-1)(s-6)=As+Bs-1+cs-6       ⇒7s2-13s+2=A(s2-7s+6)+B(s2-6s)+C(s2-s)       ⇒A+B+C=7…

Q: Determine the value of ∫k4 f(x) dx given that ∫49 f(x) dx=−9 and ∫9k f(x) dx=−3.

A: We have to find following definte integral .Information is given below:

Q: How do I figure out where the discontinuity can be removed in this equation: F (u)= u-4/u1/2-2 when…

A:

Q: f(x) = { Sx + 2 1-x+3 x>-2 Dano

A:

Q: 3/ r2-3r+4 V 2r2 –r–1 lim r→4

A: We need to evaluate the given expression.     limr→ 4r2-3r+42r2-r-13Plug in the value r=4=42-3·…

Q: 2х—4 -? x² - 5x 8. What x-value(s) are excluded from the domain of f(x)= 2

A: Domain  set of all input values where function defined

Q: Sınx SecX - Sen xcsc x ta n x-

A: Let the trigonometric identity given in the question be, sinxsecx-sinxcosecx=tanx-1. Some of the…

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.