Use the formula to express h as a function of x if h = 3y-2/4y and y= x-4

Q: State the signs of f"(x) and f"(x) on the interval (0, 2). (0, 6) (7.2343146)

A: To determine the sign of 1st and 2nd derivative on the interval (0, 2).

Q: Find the values of the coefficients a, b and c so that the conditions f(0) = -1, f' (0) -3, and…

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Q: Find a pair of functions f and g and an interval [a, b] such that fg a

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Q: The function f(x) = 2x + 6x? - 5x + 1 is concave upward on the interval O None (-0, c0) (-1, c0)…

A: Given, y=f(x)=2x3+6x2-5x+1 In this we have to find differentiation of function till when all the…

Q: O Find a, b to Continue The function ãt X=3 if x > 3 X = 3 ax+b flx) = 2a-b+1 bメーム+3 メく3

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Q: Express the given quantity as a function f(x) of one variable x. The product of two numbers x and y…

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Q: The horsepower H required to overcome wind drag on acertain automobile isH(x) = 0.00004636x3where x…

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Q: Consider the function f(a) = \x| on the interval [-2,2). 2 2. Since (-2)-f(2) = 0, there exists a…

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Q: The function f(x) (x2 -1)3, is increasing on the interval (-00,-2)U(0,2) .A (-1,0) U (1, 0 ) .B

A: The given function is f(x)=(x2-1)23

Q: Find three functions f,g,h that satisfy: f(g(h(x)) = 2

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Q: Find a and b so that the function is both continuous and differentiable. a= b f(x) = (8x³-4x² +3, x…

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Q: Find the constants a and b such that the function is continuous on the entire real line. x 5

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Q: Find the interval(s) on which the function is negative. y = x2 - 6x - 16 I. (- 00 · 2) II. (- , 3)…

A: Put the values of given interval in the function and check that function is positive or negative and…

Q: f(x, y) = In(3 - x) √x² + y² = 8 - a) Find the domain of the function b) Sketch the Domain

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Q: Express the function in the form f•g•h. 45. R(x) = Wx – 1 46. H(x) = /2 + |x| 47. H(x) = sec*(/r) =…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: (p²+1)² ; P € C\ {+i, -i}

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Q: Q5: (a). Show that if h: IR2 IR and f= 2h3 + ih is an entire function, then h is a constant

A: An entire function satisfies cauchy reimann equation

Q: Find the interval on which f(x)%= -X xe is increasing. a. (-00,1] b. (-0,2] c.(-0,3] d. [1.2]

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Q: 1) The solution of the betta function is:- -1 A) 45045 1 B) 45045

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Q: Express the function ℎ(?)=1?+1h(x)=1x+1 in the form ?∘?f∘g. If ?(?)=?+1g(x)=x+1, find the function…

A: Consider the given functions h(?) and h(x)

Q: let f(x)= x2 . Find the value c in the interval (0,3) so that fave = f(c).

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Q: A function f : R² → R is given by f(x, y) = (x² + y² + 1)² – 4.x².

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Q: Use a formula to express w as a function of t if

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Q: Express y as a function of x. The constant C is a positive number.  In(y-1)=-5x+ In C

A: Apply log properties Ln(Y-1)-lnc=-5x ln((y-1)/c)=-5x

Q: Find the constants a and b such that the function is continuous on the entire real line. I< -3 7,…

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Q: Express the function h(x) = 2 10+19 in the form h(x) = (f o g)(x) where f(x) x and g(x) x. %3D a)…

A: Here, the given function is: h(x)=2·10x+19...(1)

Q: Find the constants a and b such that the function is continuous on the entire real line. 6, ах + b,…

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Q: Express the function F(x) g(x) = ||||| ✓cosa in the form fo g.

A: To express the function Fx=cos x in the form f∘g.

Q: Determine the approximate value of one of the roots of the function f(x) = x3 – x + 1 by applying…

A: Given  The function is f(x) = x3-x+1 .

Q: Let f (x) = x3 – 4. %3D Find all numbers c in the interval (-5, 5) for which the line tangent to the…

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Q: Evaluate the function at the given values of the independent variables. = x³ + 3xy + y²; x = -1, y =…

A: z=x3+3xy+y2x=-1  and y=1 Replace the x  and y values in the given function

Q: Find the constants a and b such that the function is continuous on the entire real line. x≤ -3 7,…

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Q: The position of a mysterious object in space is represented by the given function f(x, y) = 2x² +…

A: differentiate the given function with respect to x and y partially ∂f∂x=4x+2y+0+2 =0 ∂f∂y=0+2x+2y+0…

Q: Find the value of the composed function at the given point. If f(x) = -6x – 4 and g(x) = -2x + 4,…

A: Solve the function

Q: 9x + 2y ah ah For the function h(x,y) find and ху— 10 ду ah ah ду

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Q: HW/ OFind a, b to Continue The function at x= 3 it ax+b f(x)= 2 a-b+1 bメ-a+3 メくる X 3

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Q: Define y as a function of x: 2xy + 5y2= 4   Don't forget the 5 in 5y^2

A: The given equation,     2xy+5y2=4

Q: Find a function f and a positive number b_such that f(t) -dt = 6x-3 1+

A: Here we have to find the function f and a positive number b of the given integral.

Q: Find a function F(x) for which F(0)=7 and df/dx= 9ex -2sinx+3x

A: GivendFdx=9ex-2sinx+3x

Q: Use a formula to express w as a function of t if w = V 55 + 6 ands = e - 1.

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Q: 4. Find the difference quotient, (x+h)-f(x) where h + 0, of the function f(x) = 2x + 1. А. 2 h B.…

A: topic - difference quotient

Q: Find all the numbers for which f (x) < 0 if ƒ (x)=x* +2x³ – 7x² – 8x +12. %3D c. (-x,–3)U(1,2). a.…

A: First draw the graph of f(x)=x4+2x3-7x2-8x+12 . If f(x)&lt;0 for a&lt;x&lt;b , then the graph of…

Q: f(x) 10 6 4 2 -27 2л 2. 2, 3,

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Q: Find the domain of the function f (x) = x2-1 R+ R. (-1,1) R\{-1,1}

A: Givenf(x)=xx2-1

Q: Find a function y(x) such that y'(x) = x² In(x³) – (x² + 1)¯ and y(1) = 2.

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Q: f(x+h)-f(x) Calculate the difference quotient, -/, for f (x) = x² – 2x and simplify. h

A: Difference quotient

Q: Find h'(x) when h(x) = (3x + 1)³, then evaluate h'(x) at the point (1,64)

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Q: Please

A: A function increases for all values of x for which its derivative is positive.

Q: Find functions f and g so that f ◦ g = H, where H(x) = |2x^(2) + 3|.

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Q: The position of a mysterious object in space is represented by the given function f(x,y) = 2x? + 2xy…

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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.