12. Solving the y(t) = sen (54) - 25(u)du with y(0) = 0, we get the convolution y(t)=sen (5t)g(t) for some function g(t). What is the value of g(n/3)?

Q: Q2: Find General Solution (YGS)to the equation (Y4-1) Y=COS(2x)

A:

Q: Use the graph to а. state the absolute maximum and minimum b. local maximum and minimum values С.…

A:

Q: At every point of the graph of the function y=f(x) we have y″=12x and at the point (0,5) the tangent…

A:

Q: 2. An ecologist began studying a certain type of plant species in a wetlands area in 2013. In 2015…

A: The objective of the question is to find the values of constants a and b in the exponential function…

Q: -49 fy y(u)du = sen (7t) * g(t) for some function g(t). 11. By solving the equation y(t) = = sen…

A:

Q: a) Differentiate the function Q(p) = -2√/p³ (e-P-PB). b) Hence or otherwise, determine Q'(1).

A: The given function .The aim is to find the derivative function  and find the value of .

Q: If ƒ(2) = 3, ƒ¹ (2) = −2, g(2) = 4, and g′ (2) = −3, find h' (2) if h(x) = f(x) × g(x). 1 O 17 -17 O…

A: The objective of this question is to find the derivative of the function h(x) = f(x) * g(x) at x =…

Q: Find y as a function of t if with y(0) 9, /(0) = 5. y A 10000-81y=0

A:

Q: Find all general solutions of y'(t)=(t+1)(y(t)2-1). Leave the solution as the form y(t)= an…

A: Given data:     The given differential equation is: y’(t)=(t+1)(y(t)2-1).     The given differential…

Q: 8x Given f(x)=x-1 and g(x)= x? -1 8x Show that y = f(x)· g(x)=- x+1 i) ii) From your answer at (i),…

A: Given: f(x)=x-1 and g(x)=8xx2-1.

Q: [Motion in R³] A drone has an initial position of (3,1, 2) and an initial velocity of (-2,5,1). The…

A: Here we can use the following formula to find displacement function: vt=∫at dtst=∫vt dt

Q: A dog is walking in a straight line on the road looking for bones. The dog is attracted to the smell…

A: The function x(t) indicates the position of dog with respect to time, t. So, the velocity of dog is…

Q: Suppose that f(x) = 6x + 7x 2. Evaluate each of the following: %3D

A: Here we have f(x)=6x-4+7x-2 .................................. (1)  Differentiate with respect to x,…

Q: Find the given value. g(x) = 5x3(x2 − 5x + 4),    g'''(0) g'''(0) =

A: Use derivative to get the value of g^"'(0).

Q: sin(x) 6.³ √3+ t² dt and g(y) If f(x) = = Need Help? Read It = [' f(x) f(x) dx, find g T 6

A:

Q: Find the linearization L(x) of the function g(x) = x f(æ²) at æ = 2 given the following information.…

A: Given data:   The given function is g(x)=xf(x2). The given value of x is a=2. The given value of…

Q: y' (t) = sen (5t) - 25 25 [y(u)du y(t) = sen (5t) *g(t). When solving. With y(0)=0 you obtaing the…

A:

Q: Find f′(x).   f(x)=(0.3x+6)(0.6x−7)

A:

Q: 12x + 14 f(x)

A:

Q: Find f′​(x).   ​f(x)=5x−1         7x+9 f′​(x)=

A: The given function is fx=5x-17x+9 So, the value of f'(x)=df(x)dx Using the uv form of the…

Q: 4-3x Consider the function y=e¹-3. Find y'.

A:

Q: Suppose that the derivatives f'(z) and g'(z) exist. Show: f(z)g(z)-g' (z)f(z) g²(z) b) [f(g(z))] =…

A: Let f(z) be a differentiable function. Then the derivative of a function is defined as…

Q: A cell of some bacteria divides into two cells every 50 minutes. The initial population is 4…

A:

Q: Q9- A car moves along a line so that its position at any time t > 0 is given by the x(t) function…

A:

Q: Q6 Solve (a) xdy = √1- y².

A: