STA-301 Quiz OnlineTest With Answers

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STA-301 Quiz OnlineTest

Sr. # Questions Answers Choice
1 d/dx[cosec x] 1/1+cos<sup>2</sup>x -cos x/1-cos<sup>2</sup>x 1/1-cos<sup>2</sup>x
2 The equation of the line of the form y-y1=m(x-x1) is known as Point Slope form Two points form Intercept form Slop intersect form
3 The graph of the equation y=x2-4x+5 will represent Parabola Single line Two straight line Ellipse
4 If 2y-y=-3 then dy/dx ? 2 -2 0 -3
5 Lim x→a f(x)=____ where f(x)=k? k+2 K+1 k
6 Chain rule is a rule for differentiating ______ of functions Product Sum Composition Difference
7 The graph x=y2is symmetric about ________ axis? X-axis Y-axis Origin
8 Suppose f and g are differentiable function of x then d/dx[f/g] [g][f'] - [f][g']/g<sup>2</sup> [g'][f] - [f'][g]/g<sup>2</sup> [g'][f] - [f'][g]/f<sup>2</sup>
9 The set {x:a<=x<=b} can be written in the form of interval ? (a,b) (a.b) [a,b]
10 π is a _____ number rational irrational natural integer
11 If f(x)=3x8+2x+1 then f'x) 3x<sup>7</sup>+2 24x<sup>7</sup>+2 3x<sup>7</sup>+23
12 A line is called a tangent line to the circle if it meets the circle at precisely..... one point two point infinite points
13 Suppose that f and g are differentiable function of f x then d/dx(f)(g)= [f'][g]-[f][g']/g<sup>2</sup> [f'][g'] [f'][g] + [f][g']
14 limx→∞(-2x)= -2 0 2 Does not exist
15 Tan(x) is continuous every where except at points <span style="color: rgb(84, 84, 84); font-family: arial, sans-serif; font-size: small;">+- k</span><span style="color: rgb(84, 84, 84); font-family: arial, sans-serif; font-size: small;">π/2 where k=(1,3,5.....)</span> <span style="font-family: arial, sans-serif; font-size: small; color: rgb(84, 84, 84);">+- k</span><span style="font-family: arial, sans-serif; font-size: small; color: rgb(84, 84, 84);">π/2 where k=(2,4,6.....)</span> <span style="font-family: arial, sans-serif; font-size: small; color: rgb(84, 84, 84);">+- k</span><span style="font-family: arial, sans-serif; font-size: small; color: rgb(84, 84, 84);">π/2 where k=(1,2,3,4,5,6.....)</span>
16 ______ is the special case of Taylor's Theorem Roll's theorem Picard Method Integration
17 What is the length of each subinterval,if the interval [1,3]is divided into n sub interval of equal length? <div>1/n</div> 2/n 3/n
18 Which operation could not be applied on the function? Cross Product Sum Division
19 If f(x)=e-xat x=0 be the taylor series ,then which of the following is also true? Arithmetic Series Maclaurin Series Geometric Series Harmonic Series
20 A function f is called antiderivative of a function on a given interval if ______ =f(x),for all x in that interval F'(x) F(x) f(x) f''(x)
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