Telegram group: T.me/BBCNOUN
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MTH281
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1. The _______ of a function is a collection of its inputs.

	--->> Domain

	      Boundary

	      Discrete

	      Interval

2. \(T_{k} = 1-\frac{1}{k-1}\)converges at

	      -2

	      -1

	      \(0\)

	--->> 1

3. Suppose \(f(x)=-cosx\) then \(f{}''(x)\)

	      cosx

	--->> \(-cosx\)

	      \(sinx\)

	      tanx

4. x_{1}+x^{2}+...+  is called a _______.

	--->> Series

	      Sequence

	      Set

	      Matrix

5. Suppose \(f(x,y)=x^{2}+2y\) then \(f(3,1)\) is

	      9

	      10

	--->> 11

	      12

6. A ________ series is a series in which there is a constant ratio between successive terms.

	--->> Geometric

	      Arithmetic

	      System

	      Sequence

7. If \(f(x.y)=xy-2x^{2}y^{3}\) then \(f(1,2)\) is

	      -11

	      -12

	      -13

	--->> -14

8. Suppose \(z=x^{2}+4xy+2y-1\) then\(\frac{\partial z}{\partial y}\) is

	--->> 4x+2

	      3x

	      3x-1

	      1

9. By the _______ test, a power series obviously diverges for any value of x, which lies outside the interval converges.

	--->> Ratio

	      Product

	      Sum

	      Value

10. Given that \(u=4x^{-2}-8xy^{4}+7y^{5}-3\) then \(u_{xx}\) is

	--->> -8

	      7

	      8

	      9