Determine the inverse Laplace transform: F(s) = 4/s2 - 5/(s + 1)

Q: 1. x dy dx – 4у = х6 ex 9x

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Q: 4. Use Calculus to graph g(x)=x² + 4x³. Make sure that your graph shows all intercepts, extrema, and…

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Q: S Write an equation for a line parallel to y y = -4x + 4 and passing through the point (4,-2

A: To find the equation of a line parallel to y=−4x+4 and passing through the point (4, -21), you can…

Q: Find the maximum and minimum values of f(x, y) = xy on the ellipse 5x² + y² = 4. √20 maximum value…

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Q: Find d'y if (x)=3x³ (√x-2). d³y dx³

A: To find Note: Since the student has posted multiple questions and does not mention any specific…

Q: 1) fx²e-³x dx

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 3 f(x) = x³ – 3x² + 4

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Q: -3x If h (x) = ln(x + 4 + e−³ª), then h′ (0) =? 01/10 O nonexistent 0 210 210

A: This is question of differentiationHere function given We have to differentiate it and put value…

Q: Use the differential for ex^(2)-y^2 to approximate the value of f(2.1,0.8). Your answer may have…

A: The given function isTo find,f(2.1, 0.8)

Q: f(x) = x³ - 27x + 8

A: f(x)=x3−27x+8

Q: Find aw/as and aw/ât using the appropriate Chain Rule. Values Function w = y³ - 2x²y x = es, y =et S…

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Q: The maker of an automobile advertises that it takes 7 seconds t to 70 kilometers per hour. Assuming…

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Q: Question 7 What is a function that could have 4e4 as its derivative? Question Help: Message…

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Q: Evaluate the following limit. lim 8+←8 15 ln x X = Note: Input DNE, infinity, and -infinity for does…

A: Given,

Q: For which values of x are the vectors (2x, 4, x) and (-1, -2, x) orthogonal? Select one: O None of…

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Q: What is the center of the sphere given by the equation x² − 6x + y² – 2y + z² + 8z + 17 = 0? -…

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Q: Find the points on the curve where the tangent is horizontal or vertical. You may want to use a…

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Q: The rectangular coordinates of a point are given. Plot the point. (-6√2,-6√2) 5 -10 -5 (r, 0) = y 10…

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Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 4+x² - y2…

A: The given function  and region R

Q: (2) Solve the given homogeneous equation by the appropriate substitution y dx (x + y) dy = 0. - You…

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Q: Find the total differential. 8x + y 3z - 2y dw = W X

A: If W = f(x,y,z) then the total differential of W is given by   +

Q: If z² = x² + y² with z > 0, dx/dt = 2, and dy/dt = 6, find dz/dt when x = 6 and y = 8. dz dt Answer:…

A: The Power Rule:The Chain Rule:

Q: Consider the following. f(x) = x² + 16 Find the critical numbers. (Enter your answers as a…

A: The function f is increasing on I if f'(x)>0 for all x in I.The function f is decreasing on I if…

Q: Let f(x) = 5 − 3x²2 and g(x) = x + 5. Compute the following. (a) (fog)(x) (b) (c) (e) (fog)(-1)…

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Q: 3 Use algebra to find the point at which the line f(x) T- 4 59 6 h(x)= - Y 4 3 C Write the values of…

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Q: For each of the described curves, decide if the curve would be more easily given by a polar equation…

A: The equation of a line through the origin that makes an angle a with the positive x-axis is  = aThe…

Q: Given f(x) = 2x³ - 12x² + 4x + 13 The possible inflection value is x = Concave Down interval is O…

A: The given function is

Q: Find the reduced echelon form of the matrix: M 1 2 3 1 4 1 2 19

A: The Matrix is given by :

Q: Suppose T: R² R³ is a linear transformation. Let u, v and w be the vectors given below, and suppose…

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Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

A: For a Function f( x , y ), The directional Deivative in the direction of  is given as

Q: Find the differential of the function. dy = y = √ 8-t6

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Q: Find the absolute maximum and absolute minimum of the following function on the given interval. ƒ(x)…

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Q: LET • (CX)= In [x²(x+5) ³ (x² + 4)⁰7 f'(x) = LET F(x) = \n [X²(X + 3) ³ (X² + 2)²] Cico

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Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A: Consider the curve

Q: cb+2π f" sin z dz = Sov20 a+2π a sin x dx

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Q: 4. Let f(x, y) = (a) (1,-1). Find the slop of the surface z = f(x, y) in the x-direction at the…

A: given function

Q: Let f (x) = - x² – 3. Find and simplify ƒ' (x) and ƒ" (x). x5 f" f'(x) = A = -3 B C = || f" (x) D E…

A: Given Function f( x ) as follows

Q: 10 P.M. an oil tanker traveling west in the ocean at 15 kilometers per hour passes the same spot as…

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: List the first five terms of the sequence. an 1 + an a1 a2 аз a4 a5 || = = = a₁ = 6₁ an+1 =

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Q: 4. Consider the equation r = 3 4-8 cos 0 (a) Find the eccentricity. (b) Identify the conic. (c)…

A: Concept:Conic section:A curve obtained from cone's surface interacting in plane.

Q: ²-3x. If there is more than one, separate with a comma.

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Q: 140 -x³ to answer the questions below. 3 3 747x4 tical numbers of f(x)? x = - l(s) is f(x)…

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Q: Consider g(z) = -10z + 15z² - 9 Determine the intervals on which g is concave down. g is concave…

A: The given function .The aim is to find the concavity intervals and the inflection point.

Q: Describe the x-values at which the function is differentiable. x² y = x² - 49

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Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 4 + x² -…

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Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) x r"(t). r(t) = 2t²1 - 4tj + (a) r(t) (b) r"(t) (c)…

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Q: Find aw/as and aw/ât using the appropriate Chain Rule. Function Values w = y³ - 2x²y x = es, y = et…

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Q: Suppose f(x, y) = x² + y² - 8x and D is the closed triangular region with vertices (8,0), (0,8), and…

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Q: (1) (2 cos y + 4x²)dx = xsin ydy

A: given differential equation