f(t) 3. Find the function f and a number a such that a + dt = 2 sin x for all x greater than zero. n/3 3.

Q: e-X if f(x) = Jと then f(x)=

A: I am assuming that e-x as written by you in the question actually stands for e-x Recall the Leibniz…

Q: | f(t) dt =xarctan x

A:

Q: 2. T(t) is the time , Find T(t) T"(t) + T'(t) = 0.

A: Given the differential equation is T"(t) + T'(t) = 0. Here the auxiliary equation is m2 + m = 0

Q: Write the function in the form y = f(u) and u = g(x). Then find as a function of x. dx 8 3 y = | 5x…

A: The objective of the question is derivative of given function and choose the correct option.

Q: 10 ¹0 f(x)dx is exaclty Select one: O a. 5 ¹₁ ƒ(5x + 5)dx O b. ¹₁ f(2.5x+7.5)dx O c. 2.5 ¹₁ f(2.5x +…

A: The given integral is: ∫510 f(x) dx

Q: f (x) = 5.6 sin (2.6x – 4.2) – 9.1- What is the equation of the midline of the function %3D o y =…

A:

Q: Verify the final value theorem of f(t) =1+et[sint + cost]. O- 1 1

A:

Q: ACT/SAT Let f(n) = 2n where n + 0. If n = m, %3D which statement must be true? F f-(m) = m G f-1(m)…

A: The solution are next step..

Q: Consider the function defined on the indicated interval. f(x) = 3(x – 0) –- 2x, [-1, 1] %3D Find the…

A:

Q: Find for F(X,)= Sin xy+ T Y²-x = 0

A: Given query is to find the derivative of the expression.

Q: Consider F(s) =- S s+a Invert and find f(t) by a. Direct inspection b. Residues c. Convolution

A: F(s)=1s1s+aBy inspection,f(t)= 1a-e-ata

Q: /2-x2 Evaluate *Ty dy dx x²+y² Select one: a. Non of them b. 1 2 - V2 С. 1 1 V2 d. 1 3

A: We will find out the required value of given integral.

Q: Find the area of the region bounded by the graphs of the functions y=9-x² and y=x+3.

A:

Q: Jx+1 State the interval(s) where the function f(x)=- 2x+ x² is continuous.

A: The given function is,

Q: 7. Suppose fis an odd function, f(x) dx = 2 and | f(x) dx = 7. Evaluate f(x) dx.

A:

Q: Write the function in the form y f(u) and u = g(x). Then find as a function of x. dx 8 y = | 4x -X 8…

A: Given :    y = f(u)    u = g(x) y = ( 4x2 - 8/x - x )9

Q: What're the residues of the function z/(z + 1) ? a. 0.25i and 0.75i b. -0.25 and -0.75 C. others d.…

A: