2) (sir²³x.co³x dx 2 сотх Using power rule

Q: Find the Wronskian of the following -10 e b) O -10 est c) O ge d) O 10 e5¹ + e* 42 v₁ (t)=-2 e4 3e41…

A: formula for wronskian is    W=e4te-3tte4t-2e4t-4e-3te4t-2te4t3e4t7e-3t3e4t+3te4t

Q: ble of Laplace Transforms, find the Laplace Transform of the following function: e-3t sinh (-4t)…

A: To find the Laplace transform of given function.

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A:

Q: 4 Label the vertices, foci, and asymptotes on the graphs given for the hyperbola. x² y² 42 b. -=1 3²…

A: Foci of hyperbola are the two points on the axis of hyperbola and are equidistant from the center of…

Q: (part 1 of 4) Use an appropriate Taylor series represen- tation to evaluate lim x →0 3x - tan-¹(3x)…

A:

Q: Please help with part b

A: We will find the required sum.

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A: Given integral:- ∫ydyy2-94

Q: 165. Use Green's theorem to evaluate S (y² + x³) dx + x^dy, where C+ is the perimeter of square [0,…

A:

Q: 3. S sec² x tan² x+4 dx

A: dtanxdx=sec2x∫1a2+x2dx=1atan-1(xa)+c

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A:

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A:

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

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Q: Determine whether or not the vector functions are linearly dependent. a) O Linearly independent. U1=…

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Q: Compute the inverse of the following matrix 1 -3 5 10 4 7 0 6 -8

A:

Q: Find how fast the area of a right triangle changes if its shorter and longer legs change at rates 2…

A:

Q: Complete the table given the D.E. y" + 6y' +9y = 0 Differential Operator Form Auxilliary Equation…

A:

Q: Consider a right triangle with b as the base, h as the height, and as the angle opposite the height.…

A: Given a right triangle with b as base and h as height as shown below.

Q: Equation y" - 2y + 2y = exsinx (5) (21 2 2 Appropriate Form of the Particular Solution

A: We need to solve Differential equation. As per Bartleby guidelines we can solve one question from…

Q: In Exercises 1-4, write the simplex tableau for the given linear pro- gramming problem. You do not…

A: NOTE: Refresh your page if you can't see any equations. . subject to  . After introducing slack…

Q: What is the value of k in the equation [(3√x² +55√³)dx=21³/3 A) 5/8 B 3/5 8/5 5/3 25 +-x+ 8 k

A:

Q: ii. 1. A diver jumps off a springboard 10 m above water with an initial upward velocity of 12 m/sec.…

A: Let's find maximum height, velocity when she hits water.

Q: Use chain rule to find x² √y a. Z = əz at r with x = 3rt and y = = ppir

A:

Q: 1. Let C be the parametric curve defined by d²y dx² [x = tan-¹t (y = In(1+t²) a. Find and Do NOT…

A: We have to find the derivatives and arc length.

Q: Find and classify the critical points of z = Local maximums: Local minimums: Saddle points: (x² -…

A: Multivariable calculus

Q: Solve the following initial-value problem: O3 9 dy dx 9 +y²=1, y(0) = 4 y² = 1+ 7e 3 3x y² = 1+ 7e ²…

A: To solve the given differential equation

Q: 8√x √x dx

A: We need to solve∫8xxdx

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

A:

Q: Find the double integral (x + y) dA, where R is the region enclosed by y = x² and y² = 216x. R (Give…

A:

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: Espanol Consider a triangle ABC like the one below. Suppose that B = 100°, a = 7, and C = 24. (The…

A:

Q: Find a Cartesian equation equivalent to the polar curve r = 2 cos sin 0

A:

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

A:

Q: 3. Find the trace, cofactors of all elements, determinant, and the inverse of the following…

A: Answer is in step 2.

Q: The velocity graph represents a vehicle's velocity in kilometers per hour during a three-hour trip.

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

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Q: Sketch the region of integration, reverse the order of integration, and evaluate the integral. X…

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Q: dy 18. Obtain general solution of=3√/xy a. 2√y=²√√x³+c c. b. y = 2y√x³ + c 2(√y-√√x²)=c d.…

A: The given differential equation dydx=3xy. We have to find the general solution of the differential…

Q: Find f"(-1) if f(x) = 1 - 2x³. Answer:

A: Solve the given

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: Let f(x, y) = x² + 2y² + 8zy List the critical points: The critical point at the origin is a Select…

A:

Q: -24 t Y 24 ln(8t) — 31 = Given x = (i) (ii) dx dt dy dt = = + 147 and (iii) dy dx the simplified…

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

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Q: Let X be the matrix function Determine if X is a fundamental matrix for system x' = Ax with If so,…

A: NOTE: Refresh your page if you can't see any equations. . the solution matrix is  so we can write…

Q: Solve the following DE: y'=y-xy³e-2x Oe² = y(x²+C) O e²x=y²(x²+ C) Oe-2x = y²(x+C) Oe-²x = y²(x²+ C)

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Q: Evaluate the given integral by making an appropriate change of variables. <-8y 1₂ dA, where R is the…

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Q: Find the area of the region that lies inside both curves. r = 5 sin(8), r = 5 cos(8)

A:

Q: lim (x,y)→(0,0) x 4+5y²-4x²y 3x4+y²

A: We can solve the following limit as follows. We will choose path y=mx2 and see that for different m,…

Q: u= 1+2x^3 -lu = 6x^2 f(u) = 4^2/6 Using the above information: [ r²(1+2x³)²dx = [ f(u)du 4^3/10 + C…

A: Solve the following

Q: 3 2 Let f(x) = x³ (x² - x + 1). Find all values of x = a so that the tangent line to the graph of…

A: