- Type
- Midterm past paper
- Course
- MTH301 Calculus II
- Size
- PDF 763 KB
- Updated
- 23 Oct 2026
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1. In rectangular coordinate system, the point (1, 5) lies in:
third quadrant fourth quadrant
first quadrant ✔
second quadrant
2. Which of the following function is not the function of one variable:
y = (xy) ✔
m = g(s) + constant z = g(n) + 2
3. To determine a point on a real line how many axis are required (i.e. in 1 dimension):
One axis ✔
Two axis Three axis
4. If
lim(x,y,z)→(x0,y0,z0)f(x,y,z)=L1, then \lim_{{(x,y,z) \to (x_0, y_0, z_0)}} f(x, y, z) = L_1 \text{, then }(x,y,z)→(x0,y0,z0)limf(x,y,z)=L1, then Select the correct option: lim(x,y,z)→(x0,y0,z0)cf(x,y,z)=cL1 if c is a function of y\lim_{{(x,y,z) \to (x_0, y_0, z_0)}} c f(x, y, z) = c L_1 \text{ if c is a function of y} lim(x,y,z)→(x0,y0,z0)cf(x,y,z)=cL1 if c is a function of y lim(x,y,z)→(x0,y0,z0)cf(x,y,z)=cL1 if c is constant\lim_{{(x,y,z) \to (x_0, y_0, z_0)}} c f(x, y, z) = c L_1 \text{ if c is constant} lim(x,y,z)→(x0,y0,z0)cf(x,y,z)=cL1 if c is constant ✔ lim(x,y,z)→(x0,y0,z0)cf(x,y,z)=cL1 if c is a function of x\lim_{{(x,y,z) \to (x_0, y_0, z_0)}} c f(x, y, z) = c L_1 \text{ if c is a function of x} lim(x,y,z)→(x0,y0,z0)cf(x,y,z)=cL1 if c is a function of x lim(x,y,z)→(x0,y0,z0)cf(x,y,z)=cL1 if c is not constant\lim_{{(x,y,z) \to (x_0, y_0, z_0)}} c f(x, y, z) = c L_1 \text{ if c is not constant} lim(x,y,z)→(x0,y0,z0)cf(x,y,z)=cL1 if c is not constant
5. Value of the function
f(x,y,z)=x2+y2+z2 at the point (0,3,0) is: f(x, y, z) = \sqrt{x^2 + y^2 + z^2} \text{ at the point } (0, 3, 0) \text{ is: }f(x,y,z)=x2+y2+z2 at the point (0,3,0) is: 3\sqrt{3}3
222\sqrt{2}22 3 ✔
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