Chain Rule with one independent variable Let z = x² – 3y² + 20, where x = 2 cos t and y = 2 sin t. dz - and evaluate it at t = "/4. dt a. Find b. Interpret the result geometrically.

Q: 19. Find the amplitude of each trig function below:19a. 2 sin(3x), 19b. 3 cos(5x), 19c. −7 cos(4x)

A: The objective of this question is to find the amplitude of the given trigonometric functions. The…

Q: sin x dx 1- cosx Find

A:

Q: cos u= 4/5. Evaluate sin v

A: Explanation: Given that,                          We know that,                        For angle u,…

Q: cos u= 3/4. Evaluate tan v

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Q: Plot the point(s) where cos : 1 2

A: We need to plot the points in the given figure where cosθ=12

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Q: Integrate (1 + Inx)°dx. ( Hint: Use formula (a + b)³ - a³ + 3a°b + 3ab² + b°

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Q: Approximate sinx dx using four trapezoids of equal width. On the interval (0, pi)

A: Trapezoidal rule