Given f(x) = ax³ + bx² + 9x + c. Find a so that (2,3) is a point of inflection of the graph of f and the slope of the tangent line there is −3. (a). 1 (b.) 2 (c.) -6 (d.) 3

Q: 1 Let f(x)= 4x² + 2 An equation of the line L tangent to the graph of f at the point ( ,) is (fill…

A: Given: ------------------------------------------------------------------------------ To find: An…

Q: Let f(x) = 2x - 1 and g(x) = x² + 1. Find and simplify: (g. ) ( ) Select one: A. 1 C. –2 D. -1 O E.2

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Q: Use the function f (x ) = 3sin(2x - π) to answer the questions.

A: Let's solve.

Q: Find (f ∘ f )(-1).

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Q: B2(a): Find the derivative of 9x +3 the function y = and simplify 7а — 9 - the answer:

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Q: Find the equation of the line tangent to the graph of f(x) = 3x³ + 6x? – 4x – 3 at x = -6,

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Q: DERIVE THE FF. FUNCTIONS: y.x(x-) 4x²+ 3x+2 %3D t.

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Q: Calculate Duf (2₁-4,1) in the direction of 9 = 2₁ +2²₁ +3k for the function f(x, y, z) = x² +…

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Q: The x-intercept of f(x)=V2x+4 is: O a. There is no x-intercept O b. (4,0) O c. None O d. (-2,0) O e.…

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Q: Find-f(x) when f(x) = 3x+4x+4. O A. 3x-4x-4 O B. -3x-4x-4 OC. ОС. 3х- 4х +4 O D. -3x -4x+4

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Q: O Find the equation of the line tangent to the graph of f(x) = 7x + 3x? – 4x - 8 a %3D

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Q: Find  f(−6). f(x) =    x2 + 13 f(−6) =

A: Given  f(x)=x2+13 f(-6)=?

Q: Q:: Find for the following functions: - 2) 3y3 + 2x2 - y = x

A: To find the differentiate

Q: the y intercept of a function f(x) is (0,b). What is the y-intercept of f(x) +k ?

A: Given that the y intercept of a function f(x) is (0,b).f(x)+k means k units higher than f(x). So the…

Q: F'irond, Che derivative: y

A: Given: y=6x+7x2-x+3 We know that ddxuv=vdudx-udvdxv2…

Q: f(x) = 2x4 + 2x³ – x² + 2x +3 and g(x) = x + 1 find (승)(2) and (-4).

A: fgx=f(x)g(x)=2x4+2x3-x2+2x+3x+1

Q: If f(x) = x2 + 3x - 1, find:

A: Given:fx=x2+3x-1fa+h-fah

Q: f(x)=2x2+3x, find f, of, minus, 5f(−5)

A: The objective of the question is to find the value of the function f(x) = 2x^2 + 3x at x = -5.