|Find constants a, b, and c such that the function f (x) = x³ + ax? + bx + c will INCREASE to the point (-3, 18), DECREASE to the point (1, – 14), and then continue INCREAS- ING.

Q: Evaluate the function h(x) = x3 - x + 1 at the given values of the independent variable a. h(3) b.…

A: a). Put x = 3 in h(x), we get b). put x = -2 in h(x), we get

Q: For the function, find the domain. f(x, y) = 7/x-y

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Q: c. Given f(x)= /x+1 and g(x)= x² + 4x, find :)(x) and write the domain of )(x) in interval notation.…

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Q: The function f (x) = x³has a vertex. O True False

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Q: Find for Domain and Range of the function f (x,y) = /49 – x2 – y²

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Q: Find a and b so that the function 1 5x3 — 6х? + 3, х -2 f(x) = ах + b, is both continuous and…

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Q: Use the tables of values for y = f(x) to complete a table for y = f(x). -3 -2 10 Ax) -2

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Q: " The domain of the function f(x) = Vx2 – 12x + 32 consists of one or more of the following…

A: Given function is, fx=x2-12x+32 We can write the given function as, fx=x-8x-4

Q: Give the domain of the function  y = x2/3. as interval notation

A: Given : y = x2/3  To find : Domain of the given function.

Q: Evaluate the function at the given values of the independent variable and simplify : h(x) = x4 - x2…

A: Given function is

Q: 4x² + y² Consider the function f(x, y) : 2

A: Consider the function fx, y=4x2+y22. i) Draw a cantour map of f for k=0, 1, 2, 3. ii) Using the part…

Q: Evaluate the function g(x) = 3x2 - 5x + 2 at the given values of the independent variable and…

A: The given function is gx=3x2-5x+2.

Q: Given the function P(x) = (x – 2)*(æ – 8), find its y-intercept is its x-intercepts are x1 = and x2…

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Q: Given the function P(x) x – 7a? – 8x, find - - its y-intercept is its x-intercepts are æ1 x2 and x3…

A: put x=0 for y intercept and put y=0 for x intercept

Q: Find the function f(x) = ax³ + bx² + cx + d for which f(-3) = − 92, f( − 1) = 2, f(1) = 8, and f(2)…

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Q: . Determine the values of a, b, and c such that the function f(x)=x²+ax² +bx+c has a y-intercep of 1…

A: Solving question

Q: Which of the following is the domain of the function f(x, y) = 36-4x2-9y2?

A: If z=f(x,y) is a multivariable function, then the variables x,y are called the inputs of the…

Q: Q2// A :- find and sketch the Domain of f(x, y)=v(x-4)+y' -9 + V4-x²-y° 2

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Q: For the piecewise linear function, find (a) f(- 3), (b) f( - 2), (c) f(0), (d) f(3), and (e) f(4).…

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Q: Q1// B :-find and sketch the Domain of f(x,y)=v(x-4)+y -9 + 4-x-y

A: Let's find.

Q: find the value of the constant (a, b, or c) that makes the function continuous. (x2 - c 4x + 2c for…

A: For limits to be continuous left hand limit must be equal to right hand limit and equal to limit at…

Q: The function f(x) =2x² – 3.x² – 12.x is increasing on: |

A:

Q: V, find f(x). 9 For the function f(x) =

A: Given f(x)=9x54 and i.e. y=9x54Now we swap x and y to find the inversex=9y54 and here solve for y

Q: Find the value of the constant (a, b, or c) that makes the function continuous.

A: For the function to be continuous at all point.f(x) must be continuous at x=5 and,x2-c =…

Q: Find Find the domain of G(x). (Enter your answer using interval notation.) (-0,0) U (0,00)

A: To find: The domain of fgx. Given: The function is fx=5x+6 and gx=xx+6. Concept used: The set of…

Q: On which interval is the function f(x) = x2 - 2x - 8 decreasing? A [-2, 4] B (-∞, 4) C…

A: Given, f(x) = x2 - 2x - 8

Q: find the function h such that h"(x)=36t2 + 24t - 4, h'(1)=-1and (-1)=1

A: Integrate the function                                                                    Find the…

Q: Find the range of the function f(x) = x2-1 O [-2,21 R\[-1] R\{0}

A: Range of function

Q: Q3) Find the value of the constant c and the distribu function (x) = c/(x² + 1), where -* <x< , %3D

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Q: Find f'(2) if f(x) = est) and g(x) %3D +

A: Consider the given function fx=egx and gx=∫2x11+t4dt First find the value of g2 g2=∫2211+t4dt=0

Q: 14. For the function f(x)=ax+bx²-5x+9, determine the values of a and b so that 5(-1)=12 and f'(-1)=3…

A: Explanation of the answer is as follows

Q: Find the value of c so that the domain of f(x) = √c - x² will be [-5,5].

A: The function f(x)=c-x2 has the domain -5,5

Q: Find the function f(x) if f''(x)=12x-6, f'(2)=4, and f(2)=-4

A: The second derivative of the function is given by f"(x_=12x-6, f'(2)=4 and f(2)=-4.

Q: For what value of x does the function f(x) 4x attain the point of inflection in the interval [-5,3]?…

A:

Q: (-2x² – 5x + 14,x 3 x= 3 continuous at x = 3. Justify the conclusion.

A: For given function f(x) ; -2x2 -  5x  + 14  , x &lt; 3   .... (i) 19  , x = 3         ..... (ii)…

Q: for the function f(x)=x2-2x-8, find the two points x when f(x) = 7 the answer should be in this…

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Q: Determine whether or not the function is homogenous. x5 f(x,y) = 72=2y² If it is homogenous state…

A: Given that: f(x, y)=x5x2-2y2

Q: Determine whether the function y = -3x2is increasing or decreasinga. For x &lt; 0. b. For x &gt; 0.

A: Given, y=-3x2Differentiating both sides w.r.t x we get:dydx=ddx(-3x2)⇒dydx=-6x…

Q: Find the domain of the function. f(x, y) = x² + y? – 7

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Q: Express the function in the form  f ° g    F(x) = (2x + x2) 4

A: Given, F(x) = (2x + x2)

Q: Find f"(0) for the function f (x) = – 2xe-x Answer:

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Q: Find f', f'', f''' and f(4) for the function. f(x) = x* – 3x - 2x-1 4 f'(r)

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Q: 14. For the function f(x)=ax³+bx² –5x+9 , determine the values of a and b so that s(-1)=12 and…

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Q: use algebra to find the point at which the line g(x)=2/3x+11/3 intersects f(x)=4/3x+2

A: The given functions are as follows.

Q: raph the function. 2x +3, if x < 0 14) f(x) = . x2 - 4 ifx2 0

A: The graph is a combination of a straight line in case of 2x+3 and a parabola in case of x2-4:…

Q: Given the function f (x) = 10 + 5x³ – 3x³, identify the interval(s) where the function is concave…

A: Given:      f(x) = 10 + 5x3 - 3x5

Q: Find the domain of the function. (Enter your answer using interval notation.) k(x) =, Vx+4 x - 2

A: Given function k(x) = x+4x-2TO find : Domain of the function

Q: Find the domain of the function V3 - 4z f(z) = 22 -9 and write your answer in interval notation.…

A: The domain is the set of possible input values of the function.