QUESTION 1 [4] Differentiate the following function using first principles: f(x)=*+1 QUESTION 2 [6] Differentiate the...
Find f(x) using first principles where f(x)=(x^3+1)/X^2
fferentiate from first principles the function f(x) = +1 upute the consumer surplus at prica
22. A) Use the following data to construct a Control Chart with the UCL, LCL and Central Line for the X Bar and R Chart. n- 5 Group 1: 2.1, 2.3, 2.5, 2.1, 2.0 Group 2: 2.2, 2.1, 2.0, 2.0, 2.1 Group 3: 2.0, 2.3, 2.1, 2.5, 2.2 Group 4: 2.0, 2.1, 2.1, 2.0, 2.1 Group 5: 2.3, 2.0, 2.3, 2.1, 2.2 Group 6: 2.2, 2.5, 2.1, 2.0, 2.0 Group 7: 2.1, 2.3, 2.5, 2.0, 2.1 Group 8: 2.0, 2.1,...
Differentiate. #’s 1,3, and 5 please
5.S LALT 1-16 Differentiate 2. f(x) = x cos x + 2 tanx 1. f(x) = x2 sin x 3. f(x)ecos x 2 sec x 4. y csC x 6. g(0)= e'(tan 0 e) 5. y = sec 0 tan 0 cot t
5.S LALT 1-16 Differentiate 2. f(x) = x cos x + 2 tanx 1. f(x) = x2 sin x 3. f(x)ecos x 2 sec x 4. y csC x 6. g(0)=...
# 2,3,4,7, 10,11,15,18) Differentiate the function: #2 f(x) = ln(22 + 1) #3 f@) = ln(cos) #4 f(x) = cos(In x) #7 f(x) = log2(1 – 3x) #10 f(t) = 1+Int #11 F(x) = In( 3+1") #18 y = (ln(1 + e*)] # 23) Find an equation of the tangent line to the curve y = In(x2 – 3) at the point (2,0). # 27, 31) Use the logarithmic differentiation to find the derivative of the function. # 27 y...
Question 2: (26 marks) 2.1 Find the The Laplace transform of the following function t, if 03t<1 2t, if t1 [3] 2.2 Find the inverse Laplace transform of 10e 2 52 - 53 +632 - 25 + 5 (10] 2.3 Find y(4) if y(t) = u(t){t - 2)2 - us(t)/(t - 3) - 2) - us(t)e' (51 2.4 Solve the following initial value problem given by y" + 4y = 28.(t) (0)=1/(0) = 0 181 Question 3: (17 marks) Let...
Question 4 Let f(2) 212 - 11 - 6 This function has: 1) A y intercept at the point 2.2 + 132 + 20 2) x intercepts at the point(s) 3) Vertical asymptotes at x = Submit Question
Use the definition of the derivative to differentiate the following function: f(x) 1 x + 2
QUESTION 2 (a) By the first principles of differentiation, find the following: (i) Derivative of F(x)= F'(-3) 1-X 2 + x (ii)
Exercise 6: Given the table of the function f(x)-2" 2 X 0 3 2 f(x) 1 2 4 8 a) Write down the Newton polynomials P1(x), P2(x), Pa(x). b) Evaluate f(2.5) by using Pa(x). c) Obtain a bound for the errors E1(x), E2(x), Es(x) Exercise 7: Consider f(x)- In(x) use the following formula to answer the given questions '(x) +16-30f+16f,- 12h a) Derive the numerical differentiation formula using Taylor Series and find the truncation error b) Approximate f'(1.2) with h-0.05...
1 1 1111 ... Question 2 2.1 Find the Laplace transform for 1, DCICI (-1.11s f(x + 2n)-f(x) VcZ. 2.2 Compute sis:+4) 2.2.3-1 74-1 2.3 Suppose we have a beam of length 1 simply supported at the ends and suppose that force F - 1 is applied at 8 – in the downward direction. Suppose that 1:1 = 1 for simplicity. Find the beam deflection y(x). 2