A. Find the Inverse Laplace Transforms of the following functions s+1 1. F(s) S³+2s²-8s =

Q: 1. Assume that 1 mol of gas has the following equation of state: p = RT+b V. Answer the following…

A: as we know for gas equation that R and b is constant so variables are T and V p = RT + bV

Q: 2. A poster is to have an area of 180 in² with 1-inch margins at the bottom and sides and a 2-inch…

A: A poster is to have an area 180 in2 with 1-inch margins at the bottom and sides and a 2-inch margins…

Q: Find the slope of the line tangent to the polar curve at the given point. 9 5x 26 r=9 sin 0; dy Find…

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Q: Determine whether the following statement is true or false. Given constants a and b, if f is…

A: Topic = Function Correct Option = C

Q: Consider the polar curve r = sin(3θ). Sketch this polar curve on the interval 2π/3 ≤ θ ≤ π.

A: Given Equation:- r = sin(3θ)

Q: Solve the problem. Suppose a business can sell x gadgets for p = 250 -0.01x dollars apiece, and it…

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Q: Find y' if y = e^x. cos x

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Q: What are the coordinates of the projection of the point Q(-4, 5, 3) onto the zx-plane? 1. (-4, 0, 3)…

A: given point Q(-4,5,3)

Q: Find an equation of the hyperbola that has vertices (+√5,0) and the length of the conjugate axis is…

A: NOTE: Refresh your page if you can't see any equations. . the length of the conjugate axis is L=6…

Q: 4 y-2 ) Answer the following questions about the integral ſf f(x, y)dA=ƒ ƒ ƒ (x, y)dxdy and R 20 a…

A: To answer the following question about the integral ∬Rfx, y dA=∫24∫0y-2fx, y dx dy and a function…

Q: y" - 10y' = 2sin3x; y(0) = 1, y'(0) = 3

A: Given differental Equation:- y''-10y'=2sin3x

Q: 7. f(t) 1+ (8) elo bits 0 2a 3a Figure 7.23 Triangular wave Vi t 4a

A: As per the guidelines I can solve only one question

Q: Find the total area of the shaded regions. YEX 16 X 8 L+₂+ 20 -2 16- 12- 18 4- 4 48 -12-- -16- -20…

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Q: A ladder is leaning against a vertical wall. Due to the smooth ground, the foot of the ladder is…

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Q: Find the series solution for the equation 3x²y" - xy + y - xy = 0.

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Q: b If f is continuous and f(x) < 0 for all xE[a,b], then what is true about fr(x) a Choose the…

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Q: LDE of order n (D^6-4D^5+3D^3)y=-27

A: Given: (D6-4D5+3D3)y=-27 So, the characteristic function is…

Q: Determine a suitable form of a particular solution if the method of undetermined coefficients is to…

A: NOTE: Refresh your page if you can't see any equations. . first, we need to find the complementary…

Q: 12. Which of the following is equation is an exact DE a. (x²+ 1)dx + xydy=0 b. xdy+ (3x-2y) dx = 0…

A: standard form of differential equation M dx + N dy = 0 if ∂M∂y = ∂N∂xthen given DE will be exact

Q: Suppose f'(x) = 8x³ + 12x + 2 and ƒ(1) = −4. Then f(−1) equals . (Enter a number for your answer.)

A:

Q: 1. Consider the graph of a cubic function. a. Determine a quadratic function that could have been…

A:

Q: Find the value of y for the given differential equation if the value of the arbitrary constants is…

A: The given differential equation is: y''-2y'+1=(x+1)e2x

Q: (part 1 of 4) Determine fa- fy when 1. 2. 3. 4. 6. f(x, y) = 4x² + 4xy - 4y² + x + 2y. fx-fy = 12x -…

A: Topic = Derivative

Q: 5. Find the general solution of y' = y secx a. y=c(secx + tanx) b. y=c(secx-tanx) c. y=csecx tanx d.…

A:

Q: Which of the following statements are true: A. in 3-space the intersection of the graphs of is a…

A: We have to find true statements from given options.

Q: Make a sketch of the region and its bounding curves. Find the area of the region. The region inside…

A: Given query is to make the circle and find the area.

Q: TOPIC: Methods of Solution Provide the General Solution of each differential equation. Identify what…

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Q: Consider the following vector field. F(x, y, z) = (9ex sin(y), 3e sin(z), 4e² sin(x) in(x)) (a) Find…

A:

Q: Use double integration to find the area of the region enclosed by the graph y = ₁, the x-axis, and…

A:

Q: (2x − 3y)dx + (2y − 3x)dy = -

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution of the…

Q: Find a Cartesian equation for the curve. ² cos(20) = 81 Identify the curve. hyperbola line ellipse…

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Q: A trapezoid has one of its legs perpendicular to both parallel bases. If the altitude of the…

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Q: Suppose the angle A satisfies 0 0, determine: The quadrant for the angle A/2 = 1 Then, sin(A) =…

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Q: Find all solutions of the equation 3 sin² x - 7 sin x + 2 = 0 in the interval [0, 2). The answer is…

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Q: dx = t(1+t²) sec² x dt ; x = 0, y = 1

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 10. The equation y2 = cx is the general solution of: (Hint: Remove the arbitrary constant "c") a. y'…

A:

Q: a. f(x,y) = tan (3x - X) + 순

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find all values of t in the interval [0, 2π] satisfying the given equation. (Enter your answers as a…

A:

Q: 1. Find a, b, c, and d such that the curve y = ax³ + bx² + cx + d has its tangent line at (1, 1) and…

A: The curve y=ax3+bx2+cx+d has its tangent line at 1, 1 and at 0, -2 are parallel to lines y=3x+4 and…

Q: Find f'(x) if f(x) 3x². - 6x2. 2 2 2 8 x -|wo 8x³+x4 8x² 3 t 8x³+x4 4x² I x³-√√x³ 2x None of the…

A: xa.xb=xa+bdxndx=nxn-1d dx(constant)=0

Q: Get the homogenous solution then solve after getting the new equation xy' = y(lnx - Iny), y(1) = 4

A: Answer in step 2.

Q: The graph of a function f is given. y 1 Estimate 0 1 10 eff f(x) dx using five subintervals with the…

A: We know  Right end points :- ∫010fxdx=∆xfx1+fx2+fx3+fx4+fx5 Left end points :-…

Q: By applying necessary substitutions, the differential equations to the left will be reduced to the…

A: According to our guidelines , we can answer only first three sub-parts. Kindly re-post other…

Q: 4) Find the mean and rms value of the voltage v given by the equation V=45sin(wt)

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Q: Solve the following initial value problem using (Laplace Transform) 9y''-12y'+4y=x4 y(0)=2…

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Q: 5 2 1 -3 -4 -5+ a

A: Given query is to find the equation of the graph. To

Q: Evaluate the geometric series or state that it diverges. Σ(-0.9)k k=2 Select the correct choice and,…

A: NOTE: Refresh your page if you can't see any equations. . here the series start from k=2 so we can…

Q: answer

A: We have to show that limit does not exist according to the given information

Q: дz at with x = 3rt and y= E. Use chain rule to find x² y i. Z =

A: according to bartleby guide line we do only first part of multiple questions 1)  z=x2y,   x=3rt  and…

Q: For the parametric equations: x = and y = 147e49t (write the number answer only in the box) (ii) dx…

A: