Draw a sketch graph of p(x) = ax? + bx + c from the followinginformation: 1 b 2a 2 the range of the function is y<3 the roots of p(x) differ by 4 ||

Q: 5. State the direction of opening of the function g(x)= 3x²-x4 - 4

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Q: Use the leading term test to describe the end behavior of the graph of the function f(x) - 1²/2x² +…

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Q: Find a possible polvnomial function for the following graph. (1. 4) f(x) =

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Q: 1.Determine the function   f(x)=3(x-4)2+5    in the standard form and state the y-intercept.…

A: The standard form of quadratic equation is f(x)=a(x-h)2+k where (h,k) are the vertices. So the given…

Q: Consider the following function: + 3x3 + 3x2 – 7x – 6 y x - 3 Find discontinuities and Maxima for…

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Q: 4) Write the following functions in vertex form. 2 a) P(x) = x 2x - 7 b) P(x) = - - x² + 6x + 2

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Q: 2. Determine the roots of the following function and draw its graph f(x)=x^² - x³ - 16x² + 4x +48

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Q: Given the function f(x)=(x−1)(x+5)(x−10) Determine the roots of the function f . Enter your answer…

A: We have       f(x) = (x – 1)(x + 5)(x – 10)

Q: 35) f(x) = ²x²+x+3 -

A: We have given function fx=-12x2+x+3 fx=-12x2-2x+3 fx=-12(x2-2x+1-1)+3 fx=-12x2-2x+1+12+3…

Q: 2. How many x-intercepts will the function f(x)=-(x+2) m -2 have if: a. m=3? b. m=4? c. m=2k+1, d.…

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Q: Зх — 4 f(x) = Зх — 6 f(x) = x2 – 9

A: (i) As f(x) is a fraction, it is undefined when the denominator becomes 0.  Equating the denominator…

Q: f(x) %3D — х3 + х2 — 8х + 4 1. 3.

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Q: Consider the function f(x)= x3 7x² + 2 List the a values of inflection points of the function f. If…

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Q: Q2: Graph the following function:- 1) f(x) = \x + 31 – 1

A: To graph the function,  f(x) = |x + 3| - 1 We draw the above graph using transformations from the…

Q: Graph the function. 6) f(x) = fx-1, for x>0 1-x², for x ≤0 9

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Q: Which of the following functions will involve a factor of t" the t-axis?

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Consider the following function. p(x)=x2+5x+4 Step 3 of 3:  Find two points on the graph of the…

A: Consider the following function. p(x)=x2+5x+4 Find two points on the graph of the parabola…

Q: Identify the vertex of the following function. f (x) = -a? + 4æ – 4

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Q: Show that both R and R2 may be covered by countably many open balls.

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Q: 1. Make two separate plots of the function f(x)=0.6x-5x +9x+2; one plot for -4 sxS4, and one for…

A: The given function is fx=0.6x5-5x3+9x+2.

Vector Arithmetic

Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magnitude means the length or the size of an object. The notation used is the arrow over the head of the vector indicating its direction.

Vector Calculus

Vector calculus is an important branch of mathematics and it relates two important branches of mathematics namely vector and calculus.