3) f(x) = x - x- 5 A) (-00, 8) U (8, ) C) (-00, 00) B) (-0o, 5) U (5, 8) U (8, 0) D) (-00, 5) U (5, 0)

Q: 3. are The set of critical numbers of f(x) = 3 x3+ 2

A:

Q: Give Three Functions  of Wronskian ?

A: To Give: Wronskian of three functions.   Wronskian:

Q: Estimate f (2.1, 3.8) assuming that f(2, 4) = 5, fx(2, 4) = 0.3, f y(2, 4) = -0.2

A: Given : f2,4=5.fx2,4=0.3 , fy=2,4-0.2The linear approximation is :Lx,y=f2,4+fx2,4x-2+fy2,4y-4Now,…

Q: Show that ⊢ (x > 0) y = x + 1 (y > 1)

A:

Q: Suppose that | f(z)dz = 2, | f(z)dz = 1, %3D [ 9(2)dz = - 5, | 9(2)dz - 2. Then, | (=) – g(2))dz =

A: Given: ∫25fxdx =2, ∫23fxdx =1, ∫25gxdx =-5, ∫23gxdx =-2 To evaluate:∫35fx-gxdx We know that…

Q: Show that f:Z-->Z ; f(x)=x+2 is invertible

A:

Q: 6 Use the Linear Approximation to estimate Af for f(x) = when a = 2 and Ax = 3+x2 (Use decimal…

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Q: $9 – 15 = ({¹x) ƒ A ( [9 – 15− − (^ ^x)ƒ ▲O --- ▼f(x,y) -:i-- = (^¨*x)ƒ^ f(x,y) = { 1 O Find Vf(x,…

A:

Q: Find f'(x). f(x) = O O O 6x - sin² (5x) f'(x) = O f'(x) = f'(x) = f'(x) = = 6-10sin(5x)cos(5x) 2√6x…

A:

Q: In Problems 23–38, for the given functions f and g, find:(a) f ∘ g (b) g ∘ f (c) f ∘ f (d) g ∘…

A: In Problems 23–38, for the given functions f and g, find: (a) f ∘ g (b) g ∘ f (c) f ∘ f (d) g ∘ g…

Q: 5. Differentiate using quotient rule: x+2 y x-2

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Q: Suppose that z = f(x, y) is implicitly defined as a function of x and y. Determine for 4x²z³ - 5yz²…

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Q: 1 If f(x,y,z)= of then x-y-3-

A:

Q: How can you apply the chain rule in calculus 3 with multivariable calculus

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Q: The interval on which f(x) = 5 – 12x2 – 4x³ is concave up is: (-∞, –1) © (-1, 00) O (-0, 1) • (1,00)

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Q: How do I show that F(x) are antidervatives of f(x)?

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Q: 0.2 Differentiate In x+1, with respect to x. x²-x+1

A:

Q: State the theorem for general Version of the Chain Rule.

A: The chain rule of derivative is used to find the derivative of composite functions. The chain rule…

Q: Find the derivative of f(x) = 2² +8-2³ + 5z³. 0 (2) - 1/2 +8-235-24 + 152² O f(2)=1/22-²5 2¹ +152²…

A: The given function is; f(x)=x2/4 +8 - 5x5/3 +5x3.

Q: Let f(2) = y variable defin exist?

A: The given function fz=-y-2xy+i-x+x2-y2+z2 Here, z=x+iy. Therefore,…

Q: 2) Find FCO), if it exits Punctien f(z) - 2 if x raticnal if x irraticnal

A:

Q: 15. Differentiate using quotient rule: x+2 y = х-2

A: Given, y=(x+2)/(x-2) Then,dy/dx will be

Q: Find the derivative. 4х — 3 y = 7x + 9 7(4г — 3) — 4(7а +9) (7ӕ + 9)2 4(7ӕ + 9) + 7(4 — 3) (7а + 9)?…

A: We have to find the derivative

Q: ve test to identify any critical points a these. -2 – 6y² + 12x - 36y – 87

A: In this question, the concept of maxima and minima is applied. Maxima and Minima The critical points…

Q: Find four relations from {a,b} to {x,y} that are not functions from (a,b} to x, y}

A: We have to find four relations from {a, b} to {x, y} that are not functions from {a, b} to {x, y}.…

Q: Suppose (0, 2) is a critical point of a function, with continuous second derivatives. In each case,…

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Q: Suppose that f(2, 3,1) = 5, fz(2,3,1) = 2, fy(2,3,1) = 3 and f.(2, 3,1) = -1. %3D Then f(1.9, 3.3,…

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Q: Suppose (0, 2) is a critical point of a function with continuous second derivatives. In each case,…

A: The discriminant of a function, f at x,y is calculated using the formula: D=fxxfyy-fxy2 . If…

Q: 1 If f(x, у, 2)- ôf then х— у—3z ду а. 1 (х- у-3-)2 b. -1 (х-у-3-)* С. 1 (х-у-3-)° d. 2 (х - у-3-)?

A: In Partial differentiation w.r.t y we treat x,z as constants.

Q: Find four relations from {a, b} to {x, y} that are not functions from {a, b} to {x, y}.

A: It is given that the two sets are {a, b} and {x, y}. It is known that if A and B are the sets then…

Q: Choose the fund 10 9 10 10-9 -10 O {(-5,1),(-2,1),(0,1),(2,1)} O {(1, -5),(1,-2),(1,0),(1,2)} O f(x)…

A: Function

Q: Suppose (-8, 6) is a critical point of a function f with continuous second derivatives. If fra (-8,…

A:

Q: 5. Show that the functions x, x² interval [-1,1]. x are mutually orthogonal in the -

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Q: What are the 2 critical values of the The function f(x)= 2x^3-21x^2+36x-8

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Q: GRuen that the divectional deivative of f(x,4,2) out the point (3,-2,1) in the divection of a=…

A: Given a→=2i^−j^−2k^ and directional derivative of fx,y,z at the point 3,-2,1 in the direction…

Q: + 2x if xs -1 if -1 1 f(-4), f(-}). (-1), f(0), f(25)

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Q: 5. Show that the functions x,x? -,x³ -x x are mutually orthogonal in the interval [-1,1].

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Q: Find the domain of the function. 4) f(x) = x2 + 3 A) (-«, -3) u (-3, ∞) C) (-3, «) 4) B) (-*, «) D)…

A: We will find out the required domain.

Q: (-3,3) Homework f(x) G5,1), Evauate (4,-2) -- ,f(x)dx

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Q: Show that || x || - || y || <= || x - y ||

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Q: function y= f(x) and f''(x) is + , what can we conclude regardin

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Q: 13 Use the Linear Approximation to estimate Af for f(x): when a = 2 and Ax = 2+x %3D (Use decimal…

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Q: EXAMPLE 2 Find af/ay as a function if f(x, y) = y sin xy.

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Q: Find a function f that satisfies the conditions. "(a) --Na (1) - 5, (4) - -1

A: Given Data: The second derivative of the function is: f"x=x-3/2 ......1 The value of the first…

Q: 2. Use the First Derivative Test with a number line to find the local extremes of the function Ax) =…

A: Solved below

Q: Verify that the function f satisfies the Mean Value Theorem for derivative. Then fin all values c…

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Q: Find four relations from {a,b} to {x,y} that are not functions from {a,b} to {x,y}.

A: Given: Let A=a, b and B=x, y To Find: Four relations from A to B that are not functions.

Q: If f(z) is analytic with constant modulus show that f(z) is constant u=3x²y+2x²-y³-2y²

A: To Proof :-  If f  z is analytic with constant modulus , show that f  z is constant.  Given :-  The…

Q: ,3]---->R F(X)=2X-3 من المعلومات .A (7,5-, 3-, 1-, 1,3) .B (-7, -5,3-, 1-,1,3-) .c (-7,-5,-3,-1, 1,…

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Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.