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The real root of the equation 5x − 2cosx −1 = 0 (up to two decimal accuracy) is ____. (Gate mechanical engineering 2014)1 AnswerA diesel engine has a compression ratio of 17 and cut-off take place at 10% of the stroke. Assuming ratio of specific heats ( γ ) as 1.4, the air-standard efficiency (in percent) is______. (Gate mechanical engineering 2014)1 Answer Newton-Raphson method is to be used to find root of equation 3𝑥𝑥 − 𝑒𝑒𝑥𝑥 + sin 𝑥𝑥 = 0. If the initial trial value for the root is taken as 0.333, the next approximation for the root would be _________ (note: answer up to thr1 AnswerIf -5 is a root of the quadratic equation 2x2 + px – 15 = 0 and the quadratic equation p(x2 + x)k = 0 has equal roots, find the value of k. Mathematics CBSE class 10 20161 AnswerFor an electrostatic field, the Maxwell’s equations reduce to: (-Gate geology and geophysics 2014)1 AnswerFind the value of p, for which one root of the quadratic equation px^2 – 14x + 8 = 0 is 6 times the other. Mathematics CBSE class 10 20171 AnswerFor the matrix A satisfying the equation given below, the eigenvalues are GATE-Instrumentation-Engineering-20141 AnswerEigen values of a real symmetric matrix are always -gate-mechanical-20111 AnswerAn N-bit ADC has an analog reference voltage V. Assuming zero mean and uniform distribution of the quantization error, the quantization noise power will be: GATE-Instrumentation-Engineering-20141 AnswerThe temperature rise, in °C, necessary to reduce the first value of decimal reduction time at 120 °C by a factor of 10 is GATE-Agricultural Engineering-Question-20121 AnswerThe n-bit fixed-point representation of an unsigned real number X uses f bits for the fraction part. Let i = n - f. The range of decimal values for X in this representation is :- -gate computer science 20171 AnswerFill in the blanks GATE-Instrumentation-Engineering-20141 AnswerFill in the blanks GATE-Instrumentation-Engineering-20141 AnswerThe governing equation for the static transverse deflection of a beam under an uniformly distributed load, according to Euler-Bernoulli (engineering) beam theory, is a GATE-Aerospace Engineering-Question-20121 AnswerA 10 mm deep cylindrical cup with diameter of 15mm is drawn from a circular blank. Neglecting the variation in the sheet thickness, the diameter (upto 2 decimal points accuracy) of the blank is _________ mm.1 AnswerThe equation 2x+5y=7 has a unique solution .If x and y are -1 AnswerStress path equation for tri-axial test upon application of deviatoric stress is, q root10 3 root 0.5 p . The respective values of cohesion, c (in kPa) and angle of internal friction, fiy are: - gate civil 2017 1 AnswerWhat is the theoretical requirement of air (in m3 at STP) for the complete combustion of 100 m3 (at STP) of a fuel consisting of pure CH4? Assume that air contains 21 vol.% of oxygen. _____. (-Gate metallurgical engineering 2014)1 AnswerA three dimensional region R of finite volume is described by1 AnswerThe damping ratio of a single degree of freedom spring-mass-damper system with mass of 1 kg, stiffness 100 N/m and viscous damping coefficient of 25 N.s/m is _____.1 Answer