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Why is it appropriate to use the trigonometric functions on triangle FGJ but not on triangle FHJ? Use the triangle at the left to answer problems 2-5. What is the length of the hypotenuse? (Hint: Use Pythagoras’ theorem.) 3. What is the sine of x? =_ What is the cosine of x? 5. What is the tangent of x? 6. Write an explanation of SOHCAHTOA as if you are explaining what it represents to a new geometry student include at least one diagram. Be thorough.

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Let f(x,y),0≤x,y≤1, satisfy the following conditions: for each x,f(x,y) is an integrable function of y, and (∂f(x,y)/∂x) is a bounded function of (x,y). Show that (∂f(x,y)/∂x) is a measurable function of y for each x and dx d ​ ∫ 0 1 ​ f(x,y)dy=∫ 0 1 ​ ∂x ∂ ​ f(x,y)dy
Let f(x,y),0≤x,y≤1, satisfy the following conditions: for each x,f(x,y) is an integrable function of y, and (∂f(x,y)/∂x) is a bounded function of (x,y). Show that (∂f(x,y)/∂x) is a measurable function of y for each x and dx d ​ ∫ ...

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Question: Problem 1 The second-order system state-space representation is shown below x˙=[−1010∗k2k−1]×x(t)+[1k]×u(t)y(t)=k×x(t)+u(t) where k∈R. –
• Obtain the possible set of values of k in which the system is asymptotically stable? • Obtain the possible set of values of k in which the system is unstable? • Obtain the possible set of values of k ...

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