Answer all questions in the page Answer all questions from 3 to 17 Don't miss any questions
Fantastic news! We've Found the answer you've been seeking!
Question:
- Answer all questions in the page
- Answer all questions from 3 to 17
- Don't miss any questions
- ANSWER briefly with detailed explanation
Transcribed Image Text:
Jr. MATHEMATICS The value of natural number 'a' for which 10. If f(x) = (x] where [x] denotes the greatest integer not exceeding x and g(x)3cos(T x), then the range of the function gof is 3. Efla+k) D16(2" -1), where the function satisfies the relation f (x+y) f(x). fy) for all natural numbers x, y and further f(1)=2 is %3D 1) {0} 2) {-1, 1} 3) {-1, 0, 1} 4) {x:-15xs1} 1) 3 2) 4 3) 2 4) 1 11. If domain of x+x-[x] is (0, 3), then its 4. If f is an even function defined on the interval [-5, 5], then the real values of x satisfying the range is x+1 1) [0, 3) 2) [0, 4) 3) [0, 3] 4) (0, 4) equation f(x)= f are x+2, 12. If f:R-→R where f(x) = ax+cos x, if f is -I±V5 -3+ 5 1) 2. -3+ 5 -4+5 2) - bijective, then 1) a e R 2. 2) ae R* -2+ 5 -45 4)4EVS 4) a eR-[-1, 1] -4+ 5 -1+ 5 3) a eR 3) 2 13. The function f: R→R defined by 2 2 f(x) = 4* + 4서 is Let f be an injective map with domain {x, y, z} and range (1, 2, 4} such that exactly one of the following statements is correct and the remaining are false: f(x)=1, f(y)#1, f(z) # 2. The value of f'(1) is 5. 1) one-one and into 2) many one and into 3) one-one and onto 4) many one and onto 14. The function f:(-,-1) –→ (0,e] defined by -3x+2 is f(x) = e*"- 3) z ARSK 1) y 2) x 4) 0 1) Many one and onto 2) Many one and into 3) One - one and onto 4) One - one and into Let f:R R be given by f(x) = (x+1)² -1,x 2-1. Then the set of values of x for which f(x)= f(x) is given by O 1) {0} 6. 15. The domain of f(x)=sin is 4+2 sin x %3D 5T 1) TC 元 2) {-1, 0} 3) {-1} 4) {0, 1} 2) 6. 6. 1-x is V2-1지 TC 7. The domain of 3) 4) TC 2 1) [-1, 1]U(-0,-2)U(2, 00) 2) (-, )-[-2, 2] 3) (-00, 00)-[-1, 1] TC 16. Given A = and 4) R f(x)= cos x- x(1+x), then f(A) = %3D %3D The domain of the function f(x)= log, cos x is 8. %3D 1 13 T TC 1+ 3 IT 1+ 6. TC TT TC 1) -(1} 2 3 2 6. 1) 0, {1} 2) 2 2 1 2) TC TC 1+ TT TC TC TC 2. 3) 2 2 4) 2 2 3) [0, 1] 4) [-1, 1] 9. If a function f satisfies the condition 2x -1 17. f:(-1,1) B defined by f(x) = tan 1. (x(*% then domain of f(x) 2. 1-x is bijection then B = 18 TC TC TC TC 2) (-o, 2) -TC TC 1) 3) 2 2 4) 1) (-2, 2) 2 2 2) 2. 3) (2, ) 4) R- (-2, 2) 9. AKASH FAST TRACK CRD 2. 2. Jr. MATHEMATICS The value of natural number 'a' for which 10. If f(x) = (x] where [x] denotes the greatest integer not exceeding x and g(x)3cos(T x), then the range of the function gof is 3. Efla+k) D16(2" -1), where the function satisfies the relation f (x+y) f(x). fy) for all natural numbers x, y and further f(1)=2 is %3D 1) {0} 2) {-1, 1} 3) {-1, 0, 1} 4) {x:-15xs1} 1) 3 2) 4 3) 2 4) 1 11. If domain of x+x-[x] is (0, 3), then its 4. If f is an even function defined on the interval [-5, 5], then the real values of x satisfying the range is x+1 1) [0, 3) 2) [0, 4) 3) [0, 3] 4) (0, 4) equation f(x)= f are x+2, 12. If f:R-→R where f(x) = ax+cos x, if f is -I±V5 -3+ 5 1) 2. -3+ 5 -4+5 2) - bijective, then 1) a e R 2. 2) ae R* -2+ 5 -45 4)4EVS 4) a eR-[-1, 1] -4+ 5 -1+ 5 3) a eR 3) 2 13. The function f: R→R defined by 2 2 f(x) = 4* + 4서 is Let f be an injective map with domain {x, y, z} and range (1, 2, 4} such that exactly one of the following statements is correct and the remaining are false: f(x)=1, f(y)#1, f(z) # 2. The value of f'(1) is 5. 1) one-one and into 2) many one and into 3) one-one and onto 4) many one and onto 14. The function f:(-,-1) –→ (0,e] defined by -3x+2 is f(x) = e*"- 3) z ARSK 1) y 2) x 4) 0 1) Many one and onto 2) Many one and into 3) One - one and onto 4) One - one and into Let f:R R be given by f(x) = (x+1)² -1,x 2-1. Then the set of values of x for which f(x)= f(x) is given by O 1) {0} 6. 15. The domain of f(x)=sin is 4+2 sin x %3D 5T 1) TC 元 2) {-1, 0} 3) {-1} 4) {0, 1} 2) 6. 6. 1-x is V2-1지 TC 7. The domain of 3) 4) TC 2 1) [-1, 1]U(-0,-2)U(2, 00) 2) (-, )-[-2, 2] 3) (-00, 00)-[-1, 1] TC 16. Given A = and 4) R f(x)= cos x- x(1+x), then f(A) = %3D %3D The domain of the function f(x)= log, cos x is 8. %3D 1 13 T TC 1+ 3 IT 1+ 6. TC TT TC 1) -(1} 2 3 2 6. 1) 0, {1} 2) 2 2 1 2) TC TC 1+ TT TC TC TC 2. 3) 2 2 4) 2 2 3) [0, 1] 4) [-1, 1] 9. If a function f satisfies the condition 2x -1 17. f:(-1,1) B defined by f(x) = tan 1. (x(*% then domain of f(x) 2. 1-x is bijection then B = 18 TC TC TC TC 2) (-o, 2) -TC TC 1) 3) 2 2 4) 1) (-2, 2) 2 2 2) 2. 3) (2, ) 4) R- (-2, 2) 9. AKASH FAST TRACK CRD 2. 2.
Expert Answer:
Related Book For
Database management systems
ISBN: 978-0072465631
3rd edition
Authors: Raghu Ramakrishan, Johannes Gehrke, Scott Selikoff
Posted Date:
Students also viewed these mathematics questions
-
Fill in the Blanks (b) ammonium chloride and ammonioum hydroxide (c) sulphuric acid and sodium sulphate A (d) sodium chloride and sodium hydroxide. 1. The conjugate base of HSO, in aqueous solution...
-
Integer Type Questions . Dipole moment of certain diatomic molecule X - Y is 0.38 D. If the X -Y distance is 158 pm, the percentage of electronic charge developed on X-atom is : 10 Dipole moment of...
-
1. [1/5 Points] DETAILS A plastic rod 1.4 m long is rubbed all over with wool, and acquires a charge of -6e-08 coulombs. We choose the center of the rod to be the origin of our coordinate system,...
-
Using Figure 7. 4, show how the level of oil imports and the price level would be affected if the country represented in that figure acted to internalize national security issues, but ignored climate...
-
The proton-decoupled 13C NMR spectra of 3-heptanol (A) and 4-heptanol (B) are given in Fig. 13.22 on page 626. Indicate which compound goes with each spectrum, and explain your reasoning. Fig. 13.22...
-
The dean of a business school wishes to form an executive committee of 5 from among the 40 tenured faculty members at the school. The selection is to be random, and at the school there are 8 tenured...
-
Consider the Michaelis-Menten model introduced in Eq. (12.23). Graph the expectation function for \(\theta_{1}=100,150,200,250\) for \(\theta_{2}=0.06\). Overlay these curves on the same set of...
-
The Kentucky Derby is perhaps the premier event in U.S. horse racing. For each of the following examples from the derby, identify the type of variablenominal, ordinal, or scale. a. As racing fans, we...
-
What role has Meta's strategic acquisitions of AI-focused companies played in shaping its business strategy and maintaining a competitive position in the AI domain? How do these acquisitions align...
-
Conduct a Pareto analysis for the number of minutes that flights are late in the accompanying data. Interpret the results. E Click the icon to view the Atlanta Airline Data. Conduct a Pareto analysis...
-
2. Evaluate each expression: (5 marks) b) (-2)6 c) 2-5 3. Simplify each expression: (6 marks) 125 b) (3ab) (4ab) 4. Factor each expression completely: (6 marks) a) x* + 27x b) 3x2-9x2+ 6x-12 5....
-
Show by Taylor series expansion, that: (df\ _fj+22f+1+2 fj_f_2 dx 24x What is the order of this approximation?
-
Air Conditioning Analysis for the AHU The AHU unit will control the cooling of the comfort area. Assuming the air cooling temperature supplied to the comfort area is in the range of 16 C to 24 C with...
-
Let BA= 3 2 Calculate the following product of these matrices (make sure to adjust the answer's rows and columns number): 1 3 1 5 A = X 2 4 1 03 3 B = 2 4 1 (333) = 3 3 2 -1 1 5 Rows: 1 Columns: 1
-
Thermal Load Analysis A contract to design a centralised air-conditioning system for a school located in a remote area. The school will accommodate 700 persons. The air-conditioning system will be...
-
Q2. If the velocity of the center O of the rolling disk without slipping is 50 cm/s towards right for the instant shown, determine the angular velocity of bar AB, AB, and the velocity of end B, VB,...
-
Append your code at the end of the report. DO NOT paste an image of the code. The code must be in the form of text in the PDF file - not an image. Cross Valida- tion and Ridge Regression must be your...
-
General Electric Capital, a division of General Electric, uses long-term debt extensively. In a recent year, GE Capital issued $11 billion in long-term debt to investors, then within days filed legal...
-
Notown Records has decided to store information about musicians who perform on its albums (as well as other company data) in a database. The company has wisely chosen to hire you as a database...
-
Explain what the buffer manager must do to process a read request for a page. What happens if the requested page is in the pool but not pinned?
-
Consider the two internal organizations for heap files (using lists of pages and a directory of pages) discussed in the text. 1. Describe them briefly and explain the trade-offs. Which organization...
-
A burst of compressed air pushes a pellet out of a blowpipe. The force exerted by the air on the pellet is given by \(F(t)=F_{0} e^{-t / \tau}\), where \(\tau\) is called a time constant because it...
-
Thrust is the force that pushes a rocket forward. It is a force exerted on the rocket as the engine expels hot gases from the rear of the rocket. For most rockets, thrust is variable rather than...
-
Assume you want to use random tests on an FIR filter program. How would you know when the program under test is executing correctly?
Study smarter with the SolutionInn App