Find the inverse Laplace transform L-¹{F(s)} of the function F(s) = L-¹{F(s)} = 2 s² +9s 10 NOTE: The answer should be a function of t. -

Q: Use the definition of continuity and the properties of limits to show that the function is…

A:

Q: f do di

A:

Q: Let lim f(x) = 6 and lim g(x) = 12. Use the limit rules to find the following limit. X-5 X-5 f(x)…

A:

Q: Evaluate lim f(x) and lim f(x) for the following function. Use ∞o or -∞o where appropriate. Then…

A:

Q: Let R be the region enclosed by f(x) = x² + 4. g(x) = (x - 3)² and the axes x = 0 and y = 0. Compute…

A:

Q: Vectors a, b, and c are given. Determine the vectors (a b)c and (a c)b. Express the vectors in…

A: Given a = i + j b = i - k c = i - 7k

Q: K First-class postage is $0.34 for the first ounce (or any fraction thereof) and $0.21 for each…

A: Given :- Cx representthe postage for aletter weighing x oz

Q: The following can be derived from the above rules. log,1 = log, a = log, d' = loga log 1 b= log,…

A:

Q: 4. The complementary solution of following equation y"" - 3y" + 4y' - 2y = ex + cosx, is (a) c₁e+…

A: Given differential equation y'''-3y''+4y'-2y=ex+cosx

Q: Evaluate the limit in terms of the constants involved: 9(x+h)²-9x² h lim h→0 ←

A: Given limit limh→09( x + h )2 - 9x2h

Q: Express the area A of the cross-section cut from the paraboloid- y by the plane z=k as a function of…

A: Given equation of parabloid x2a2 + y2b2 = zcplane : z = k

Q: √√√x-7 x³ - 7 O Q(x) is a polynomial, so it is continuous at every number in its domain. O Q(x) is a…

A: Introduction A function f is said to be a continuous function if it is continuous at every point of…

Q: a) Graph the function f(x)=2x²-7x+5. b) Draw a tangent line to the graph at the point whose…

A:

Q: Qu Solve the following ordinary differential eations: -x=5y²x³

A:

Q: how do i find the derivative of 10^-x

A:

Q: Find the inverse Laplace transform -¹{F(s)} of the function L-¹{F(s)} F(s) = = NOTE: The answer…

A: F(s)=8/(s-4) 3

Q: In a binomial distribution, the value for 'q' is 0.14. Therefore, the value for 'p' is: 0.14 0.86…

A:

Q: Sketch the graph of a function f that satisfies all of the given conditions. lim f(x) = 4, lim_f(x)…

A:

Q: 1. Suppose the graph of f is given. Describe how the graphs of the following functions can be…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find the following for the vectors v = 9i - 2k and u = i +j+ k. a. v•u, |v|, |u| b. the cosine of…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: What are the odds in favor of drawing a face card from a standard deck of 52 playing cards? 10:3…

A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…

Q: Jonathan is going to throw a ball from the top floor of his middle school. When he throws the ball…

A:

Q: (x - 1 when x < 1) (ln(x) when x ≥ 1) a) f(x) has an inverse, how do you know? 1) Let f(x) = b) What…

A: Given function is f(x)=x-1when x&lt;1ln(x)when x≥1

Q: Given f(x, y) = 6x² fx (2, 3) = fy(2,3)= - 5xy + y, find the following numerical values:

A: f(x,y)=6x4-5xy2+y5fx(x,y)=∂ ∂x(f(x,y))fy(x,y)=∂ ∂y(f(x,y))we know  ∂ ∂x(xn)=nxn-1

Q: (a) Graph the function. (b) Draw lines tangent to the graph at points whose x-coordinates are 0,…

A: Here we have to graph the given fuction and solve f'(x) using given data.

Q: Evaluate the integral S 2 csc²0 3- 7 cot 0 de J 2 csc² 0 3 - 7 cot 0 do

A:

Q: Fill in the matrix in the equation below to find the line that passes through points (-2,-3) and…

A: given points is  (-2,-3)  and  (2,9)matrix form is detxy1x1y11x2y21=0

Q: Evaluate. S −3 |x| dx The graph of y=-3x is shown here for your reference.

A: Concept ∫abf( x ) dx = Area under the curve from a to b

Q: 20. y = x², y = 4x − x²

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: f(g(x)) = g(f(x)) =

A:

Q: dy dx = xy is directly integrable.

A:

Q: f(x) g(x) lim X-5 (Type an integer or a simplified fraction.) =

A:

Q: Find the value of when f(x) = = if the limit exists. 1. limit = 4 2. limit = 2 3. limit = 1 4. limit…

A:

Q: 7. Find the sum of the values of a and b such that f(x) = 2ax² + bx + 3 has a relative extremum at…

A: The given equation is;  f(x)=2ax2+bx+3 and point (-1,2).

Q: The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a…

A:

Q: 3. a) Graph the given piecewise function f(x). 4x + 3, x≤ 0 (-x+1, x > 0 f(x) = -7 -6 -5 -4 -8 -R -1…

A:

Q: Evaluate: S x (1 – x²) dx Here, we are given with an integral which needs to be evaluated from 0 to…

A:

Q: 16. (D² + 3D)y = -18x; y = 0, Dy = 0 when x = 0

A: Given differnetial equation ( D2 + 3D )y = -18x

Q: Given f(x, y) = 5x¹ - 4x²y – 2y5, find fx(x, y) = fy(x, y) = fxx (x, y) = fxy(x, y) = fyy(x, y) =…

A:

Q: 4. Solve the following differential equation. (x³ + ²)dx + (y² + ln x)dy = 0 X

A:

Q: Consider the following vector function. r(t): (6√2t, e6t, e-6t) (a) Find the unit tangent and unit…

A:

Q: Integrating an odd function (without considering the arbitrary constant of integration) will give…

A: Let f(x) is an odd function then,                             f(-x)=-f(x)                ⇒…

Q: 7. Describe and sketch the surface in R³ represented by tion x + y = 2.

A: Given: x + y = 2

Q: Find the unit rate. Del Monte Sweet Peas $1.42 for 14 oz. What is the cost for one ounce?

A: Here is the solution:

Q: QUESTION 2 Given that f(t) = St t x² + 13x+36 1 + cos²x 0 Find the value of t at which that local…

A:

Q: Consider the following vector: -E1₁ 2 2 Which vector has length 2 and the same direction as u? 200…

A: given  u=-122

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to X or Y.…

A:

Q: 1. Write out the following sur ὦ (3) IM (b) αξ

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Select all of the following graphs which represent y as a function of x. 5+

A: We need to select graphs.

Q: Find the volume of the solid obtained by rotating the region bounded by y = x and y = √x about the…

A: Given: y=x, y=x about the line x=3.