Use division to prove that x = 3 is a real zero of y = −x 3 + 9x 2 − 38x + 60. 2 ID: A quiz 6.1-6.3 Answer Section MULTIPLE CHOICE 1. D 2. D SHORT ANSWER quintic trinomial 2x 2 − 3x 3 + 1 20x5 – 8x4; quintic binomial f(x) = 0.08x4 – 1.73x3 + 12.67x2 – 34.68x + 35.58 T(x) = 0.4x 3 + 0.8x 2 + 0.1x; 630.3 thousand trees 4x(x – 4)(x + 6) relative minimum: (0.36, –62.24), relative maximum: (–3.69, 37.79), zeros: x = –5, –2, 2 10. 0, 3, 2 3.
c. Find the coordinates of the foci. d. Graph the ellipse. Label the center and foci. Answer: a) Given equation of ellipse. On comparing this equation with standard equation of ellipse with centre (h,k) which is given by x-h2a2+y-k2b2=1 , we have , h = 3 and k = -5.
Write a pseudocode statement that multiplies the variable subtotal by .15 and assigns the result to the variable totalfee. First you must make the variables real numbers. example.Dim subtotal As Double = 0 The statement asked for in the question will appear as totalfee =
{ b = 2 + a } b) Multiplies b by 4 and stores the result in a. { a = b * 4} c) Divides a by 3.14 and stores the result in b. { b = a MOD 3.14 } d) Subtracts 8 from b and stores the result in a { a = 8 – b } 4. Assume the variables result, w, x, y and z are all integers, and that w=5, x=4, y=8 and z=2. What value will be stored in result in each of the following statements?
If you were to take the three trigonometric functions of the 30 degree angle, you would get the (square root of 3)/2 for cosine, ½ for sine and the (square root of 3)/3 for tangent. If you were to take the three trigonometric functions of the 60 degree angle, you would get ½ for cosine, the (square root of 3)/2 for sine and the square root of 3 for tangent. 3) Suppose that you did not have the Unit Circle on Circle A, but rather of a circle of radius 5. Will the angle measures in degrees and/or radians change? Why or why not?
GEOMETRY MIDTERM REVIEW 1. Use the diagram to name all points that are collinear to points P and Q. Use the diagram to find where MQ= 30, MN = 5, MN=NO, and OP=PQ. 2. Find the length of OQ .
[2] iii) Find the equation of the circle. [2] iv) The line y + 5x = 8 cuts the circle at A and again at a second point D. Calculate the coordinates of D. [4] v) Prove that the line AB is perpendicular to the line CD. [3] 5. Find the angle ( and the length x in the triangle shown below. [7] 6.
The diagram below shows the graph of y = –x . 2 y O x (–3, k) y = –x2 The point (–3, k) lies on the graph. Find the value of k. 1 6. C B 12 cm A 1 1 In triangle ABC, AB = 12 centimetres, sin C = 2 and sin B = 3 . Find the length of side AC.
2) 66 3) 4) 5) 31 3.91 16.61 2) 3) 4) 5) Use the linear approximation (1 + x)k ‘ 1 + kx, as specified. 6) Estimate (1.0003)50. 6) Use the linearization of the function to approximate the value of the function.
Week 1 On the first Friday after the contract was signed, Dan delivered ten black lab puppies with AKC papers. Bob accepted delivery, inspected the dogs, and put them on sale. Since Bob was paying $400.00 for each puppy, he had to sell them for $1000.00. Bob only sold four puppies that first week. Bob, pet storeowner specializing in black Labrador retrievers, contractual duties: * Purchase 100 black Labrador retriever male puppies * Payment was due 30 days after delivery; and * Each puppy costs $400.00.