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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 thr0 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 20160 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 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-20120 AnswerFor the matrix A satisfying the equation given below, the eigenvalues are GATE-Instrumentation-Engineering-20141 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 AnswerEigen values of a real symmetric matrix are always -gate-mechanical-20111 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 AnswerThe equation 2x+5y=7 has a unique solution .If x and y are -0 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 AnswerWhich one of the following inferences may be drawn with the greatest accuracy from the above passage? GATE-Aerospace Engineering-Question-20121 AnswerA loop transfer function is given by: GATE-Instrumentation-Engineering-20141 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 AnswerA steel rod was subjected to a fluctuating stress cycle that varied between a maximum of 400 MPa in tension to a minimum of 300 MPa in compression. What is the stress amplitude, in MPa?______. (-Gate metallurgical engineering 2014)1 AnswerA body starts yielding when it is subjected to a stress state with principal stresses of 250 MPa, 50 MPa and −50 MPa. What is the yield strength of the material, in MPa, if Tresca yield criterion is obeyed? (-Gate metallurgical engineering 2014)1 Answer