7) The function (h) is.dsfined by: h(t) = 0 if t e] – 00; –1,5n[ ; h(t) = cos(0,5t – 0,25 n) if te [-1,5 n;2,5 n] h(t) = 0 if te]2,5 Tn ;+¤[ (i) Give the graphical representation of the function (h).

Q: 0 < x < 2. Let f(x) eCos T sin a < x < 27 2 Let g(æ) = f(s)ds = Ss T Find g and g(27). 2

A:

Q: A ball is drawn randomly from a jar that contains 5 red balls, 7 white balls, and 4 yellow balls.…

A: From the given information, there are 5 red balls, 7 red balls and 4 yellow balls. The total number…

Q: 1. Sketch the graph of each of the following functions. (a) f(x, y) = cos (b) f(x, y) = 3x² + 3y² -…

A: Introduction: The functions are two variables function in x and y. Therefore the graph of this…

Q: The function f: x 1-> a + b cos x, is defined for 0sxs 2n. Given that f(0) = 10 and that %3D n)= 1,…

A:

Q: Given the following functions: f(z) = cos(r) and g(z) = 10 + 1 Find: f(g(z)) = 9(f(z)) = %3D

A: For a function, y=f(x), the independent variable is x and the dependent variable is y . The value of…

Q: 2. Suppose f(x+3)%3D f(xr), what is the period of the function f ? (A) 4 (B) 3 (C) 2 (D) 1

A: topic - functions

Q: If f(D)= D² – 2, then cos 4x is f(D)

A:

Q: Differentiate the following functions requiring use of Chain Rule. (Any value that is not the…

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Q: Find for THREE of the following functions: dx 1-y()+In(cos(x)) + √2-y=2(cos(x))*(x)

A:

Q: . Let f(x) = ka. Determine the constant a so that f(-1) = 10 and f(2) = 5 19 4

A: Given query is to find the constants of the function.

Q: Define h = f • g. a) Compute h'(1). b) Compute h'(0). c) Does h'(2) exist?

A:

Q: Find D„f(3, 2), where u = cos(0)i + sin(0)j, using each given value of 0. (i) 4 (ii) 0 3 (iii) 0 3.…

A: Hey, since there are multiple subparts posted, we will answer the first question. If you want any…

Q: 1. Classify the funetion according to type: a. f(r) = rr° + - 11x² + 3r + V7 b. f(r) = 2+12r-4r+1…

A:

Q: Ex. 7. Find a harmonic function in the range 00, obeying: u(0), у) — 0, и(а, у)- 0, у>0, и(х,0)-…

A: we have: u0,y=0,ua,y=0,y&gt;0,ux,0=fx,0≤x≤a and limy→∞ux,y=0 Let ux,y=XxYy ⇒∂2ux,y∂x2=YyX''xand…

Q: f(1) =-cos" (21)+ e² 2 - cos° e

A:

Q: Draw the graph of f(x) = sin() in the viewing rectangle [0, 1] by [0, 0.25] and let I = f(x) dx. (a)…

A: The given function is as follows:To Find:a) Using the graph determine  are underestimated or…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.