Write a differential equation that models the given situation. The stated rate of change is with respect to time t. (Use k for the constant.) The rate of change of the velocity v of a falling body is constant. dv dt =

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Q: find d/dx 2x^2 -x using derication from first principle through the use of (f(x+h)-f(x))/h

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Q: find d/dx 2x^2 -x using derication from first principle

A: Our Aim is to find the derivative of 2x2-x using derivation from first principle.

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Q: 1. Can a function such as f(x) = 5³x be written in the form f(x)=b? If so, what is b? EXERCISES 4.1…

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Q: Calculate derivatives of the following functions: sin 2x - ² 3+ cos x i.

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A: The given matrices are  D= 21304-1 , F= -120413 Find FD.

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Q: 1. An object is moving along a straight line and its velocity at time t is given b v(t) = t² − 4t -…

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Q: 5. Prove that if f(z): then f is an entire function. COS Z z² - (π/2)² J when zл/2, when z = : ±л/2,

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Q: Write a differential equation that models the given situation. The stated rate of change is with…

A: Given query is to find differential equation.

Q: Let r(t) = (2+³/², cos(2t), sin(2t)). (a) Find the displacement from t = 0 to t = π (Hint: the…

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Q: 5- Find a b and if w=artan (x² + 1) = boxy + Cayin (z) x= z²²y = ze and Z=2t-ze wy=-53.25, W7 = 2 at…

A: Aim: To find a ,b, c for the following expressions at t=2. Given: w=a·tanx2+1 - b·x2y + c·ylnz2…