can someone answer this please 16 marks Question 5 Find the gradient for eachof the following...
can somebody answer 7 for me please
5 2 b300 b) F)XX Use the rules of differentiation to find the slope and an equation of the tangent line to the graph of the function f at the specified point. 7) a) F(x) X4-3X3 +2X2-X+1; (2, -1) b)(4, 5/2) 8) Find the first derivative of each of the following functions: a) F(x) (X3- 12X)/3x2+2X) b) Flx)- (w3-w W 1)(w2+2)
please answer ALL questions.
Show all steps clearly, to receive full marks for your solutions. Use the discriminant to determine the number of x-intercepts for each quadratic function: .ft) = 3x - 5x+ f = 2x +x+1 f(x) = 4x - 12x + 9 16 marks) 15. Express the function f(x) = 47° - 12x + 5 in factored form and determine the -intercepts and the vertex Sketch the graph of the function. State the minimum or maximum value. (9...
Question 1 (25 Marks) a. Find the relative maximum and relative minimum points of the function, f(x,y) -x2 ,3-12x + 12y-13 [S Marks] b. Evaluate the Laplace transform of the following functions: i. f(t)sin 5e2* [5 Marks] [5 Marks] [7 Marks] (t)-t2+ cos 3t a. Let f(t) = 8t5-5t2 + 5t + 1. Find L
QUESTION 1 (25 MARKS) (a) Solve 5+ (3)41 = 12 (6 marks) (b) Find x if (25)*+2 = 5384 (4 marks) (c) The projected population P of a city is given by: P=100,000e4,054 where t is the number of years after 1990. Predict the population for the year 2010. (2 marks) (d) State whether x = 2 is the discontinuity point for: x +1 if x> 2 8x if x < 2 f(x) = and show that lim f(x) does...
Question #1 (15 Marks) a) (8 Marks) Answer the following questions with True or False. 1) 2) 3) Every basic solution in the assignment problem is necessarily degenerate. The assignment problem cannot be solved using the transportation technique. If the gradient vector of a function at a given point is zero, the point can only be a maximum or minimum. If a single-variable function has two local minima, it must have at least one local 4) maximum 5) The Golden...
Hi can someone please help me with this question? 1. If we choose an x value at random, remember that this depends on the data, so the x value could be a person or number, is it possible to find if x is usual or unusual? Why? Could you find the probability? What is it? 4 5 6 7 7 7 8 8 9 10 10 12 12 14 15 15 16 17 17 19 19 20 20 20 21...
please answer question 16 and 17
17. Find the equation of a plane that passes through the points (15,5, 2), (6, 2, 1) and (10,3, 2). Does the point (-2,-5, -3) lie on the plane? [5 marks) 16. Find the equation of a line through the point (2, -3, 1) in a direction orthogonal to the line *+1 Y-1.2+2. Give your answer in both parametric and 3 5 symmetric form. [4 marks) 2
Question 2 Find the indicated function value. Find f(-4) when f (x) 2² +4 23 62 O-2/7 0-5/16 0 - 1/2 O-2/5 Question 3 BILI SUULILULUI NV, O Question 5 3 pts Find the indicated function value: f(3) = 5 - 8a, g(x) = -3x + 8. Find (f + 9) (x) - 3x + 5 - 5x + 13 0 - 11x + 13 2x Question 6 3 pts Find the composition of functions: f(x) 70? + 4x, g(x)...
Can please someone answer question number 5 and 6. ASAP. Thank
you
Exam Directions: Answer question ONE and 4 of the remaining 5 problems. Show all work. Partial credit granted. Define, describe, or draw a diagram to explain the following terms: (affine 1. Horor (b) conservative force, (Gelectriepotentiat- An electron is located at the origin whose q-_ 1.6 x 10-19 Coul and whose mass is 9.11 x 10-31 kg is in an E-field. E 펀000 nt/c, parallel to the x-axis....
can someone help me to solve this question 5
Question#5 a) Solve the following initial-value problem: (2xcos y + 3x’y)dx +(x? – x’sin y- y)dy =0, where y(0) = 2. [5 marks] b) Find the general solution to the following differential equations: [5 marks] [5 marks] dx