Having attended the live lecture, now spend some time completing this week's challenge activity Your first task is to analyse the following diagram: y↑ B A D The diagram shows part of the curve with equation y = f(x), where f(x) = 1+ 2sin(px" + q").p and q being positive constants and 9 5 90. The curve cuts the y - axis at the point A and the x- axis at the points C and D. The point B is maximum point on the curve. Calculate Given that the coordinates of A and C are (0, 2) and (45, 0) respectively: 1. Calculate the value of q 2. Show that p = 4 3. Find the coordinates of B and D.

Q: 1. For the following partial differential equations find the ordinary differential equations that…

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Q: Which points are on the graph of the equation –2.5x – 4y = –20 ? SELECT ALL THAT APPLY - 1 A(-4,…

A: Given: -2.5x-4y=-20  ...1   We know that; A point h,k will lie on the line when we get L.H.S = R.H.S…

Q: Write the equation for the line parallel to y – 5 = (x – 2), through the point (2, 4). -

A: On solving this equation we will find the equation of the line parallel to given line that is

Q: Identify the y-intercept of the graph of R(x) = Choose the correct y-intercept. ○ A. -1 OB. -7 ○ C.…

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Q: n the table to the right, fill in the missing y-values for y = 3.2º. A. How do the y-values of y = 3…

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Q: Find the x- and y-intercepts of the equation. h (x) = 4 x – 1 Enter your answer as points (a, b).…

A: Put y = 0 in h(x) to determine the x intercept. h(x)=04x-1=04x=1x=14Hence, x-intercept=(14,0)

Q: O O 2. The graph of the equationx + 3y = 6 intersects the y-axis at the point whose coordinates are…

A: To find the intersection point

Q: The graph of the equation y = x²+x-2 meets: Othe x-axis at (-2, 0), (-1,0), and the y-axis at (0, 2)…

A: for x-intercept put y=0for y-intercept put x=0y=x2+x-2

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.