DIFFERENTIAL CALCULUS QUESTION 4 Consider the function f(x) = 3x2-2x-1 4.1. Sketch f, indicating the intercepts...
Consider the function f(x) = 2x-3x2/3. Which is true regarding the x- and y-intercepts? x-intercept at (0,0) 27 x-intercept at y-intercept at (0,0) All of the above None of the above
11. For parts (a-c) consider the polynomial function(x) = -2x²(x - 4)'(x - 1)*(x + 2). [10 Points) (a) What is the degree of the polynomial function? (b) List the zeros of the function in the table provided below and state the multiplicity of each zero. Describe the behavior of the graph at each of the zeros. Does the graph Touch/Cross at each zero? Zero Multiplicity Touch/Cross of 2 -6 -4 -2 -21 (c) Provide a rough sketch of the...
3. Consider the function f(x,y) = 4 + 2x - 3y - x2 + 2y2 - 3xy. a) (5 pts.) Calculate the partial derivative functions, and use them to calculate the gradient vector evaluated at c = b) (5 pts.) Write down the affine approximation to at the e given in a) /(x) = f(c)+ Vf(e)'(x - c) . Use it to calculate (1.1, 1.1). (Hint: it should be close to f(1.1, 1.1))
Problem 6. Consider a random variable X whose cumulative distribution function (cdf) is given by 0 0.1 0.4 0.5 0.5 + q if -2 f 0 r< 2.2 if 2.2<a<3 If 3 < x < 4 We are also told that P(X > 3) = 0.1. (a) What is q? (b) Compute P(X2 -2> 2) (c) What is p(0)? What is p(1)? What is p(P(X S0)? (Here, p(.) denotes the probability mass function (pmf) for X) (d) Sketch a plot...
Question 4 (2+4+4+1+4 = 15 marks) Consider the function y = 4 sin (2x-π) for-r below to sketch the graph of y. x < π. Follow the steps (a) State the amplitude and period in the graph of this function 4 sin (22-9 ) for-r (b) Solve y π to find the horizontal intercepts x (a-intercepts) of the function. (c) Find the values of x for-π π for which the maximum. and the x minimum values of the function occur...
Consider the function f(1) = -2(1 - 3)2 (2x - 1) Answer all parts: (a)-(). (a) What is the degree of f(x)? The degree of f(3) is (b) Which of the following choices describe the end behavior of f(a)? The graph of f(2) acts O like 22 (ie both ends up) Olike -2" (ie, both ends down) like (i.e. left end down, right end up) O like --23 (i.e left end up, right end down) None of the above (c)...
Matlab: please answer all 3 parts and show steps using Matlab inputs ONLY thank you Problem 3. Consider the function f(x) ei cos(2x). (1) Sketch its graph over the interval [0, r] by the following commands: (2) Using h-001 to compute the difference quotient for x = π/6 in [0, π]. The commands are: And the difference quotient is: (3) Using h = 0.01 to approximate the second derivative by computing the difífquo for x = π/6 in [0, π]....