04: Find dy/dx for the following function:: (5) y = x³ log₂ (3 - 2x)

Q: Exercise 0 * Calculate integral below where I is a stright line Connecting the points [-1,3] and [2,…

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Q: Find laplase 4-f(t)=e²¹.t³.

A: Given problem:- Find laplace transformation of f(t) =e-2t t3

Q: Find the area K of the triangle specified below. a = 19, b= 19, c = 19

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Q: A marshy region used for agricultural drainage has become contaminated with a particular element. It…

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Q: . foci: (±4,0) major axis of length: 1

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Q: Solve: 9 d2y/dx²-24 dy/dx +16y=0; y(0)=3, y'(0)=3 Write the letter corresponding to your answer. The…

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Q: A parabola is formed when a plane slices through a cone. Which of the following describes the…

A: Solved below.

Q: 7. For the sinusoidal function given below, find: a) The period and the equation of the axis -120°…

A: a) Here, from the graph to find the period and the equation of the axis.

Q: What are the first five terms of the following sequence? a₁ = 25, an an-1-5 O 5, 10, 15, 20, 25 0…

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Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

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Q: Part 2. Find the Standard Equation 3. hyperbola with vertices at (-2, -4), (-2, 6), foci at (-2,-5),…

A: given foci =(-2,-5),(-2,7) vertices=(-2,-4),(-2,6)

Q: #15) Determine y' a.y=sin 2x b. y = x² sinx co y = sin(-x) Determine #16.> d.) y = cos x sin x e-> y…

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Q: Find the accumulated future value of the continuous income stream at rate R(t), for the given time…

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Q: 41. What is the derivative of f(x) = secx + 3 csc x? A. f¹(x) = sec xtanx + 3cscx cotx 3cscx tanx C.…

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Q: = Find the direction in which the maximum rate of change occurs for the function f(x, y) the point…

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Q: For Numbers 27-29. Suppose that a particle moves along a line with position s(t) = 2t² + 3t + 1…

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Q: Find the solution of the differential equation that satisfies the given initial condition dP = 4√…

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Q: 5) Find all values of x for which Σ=1 nxn (n+1)(2x+1)n converges absolutely.

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Q: Find the volume generated by revolving the given plane area about the given line, using: I. Sketch…

A: Explained below

Q: Find a differential equation whose general solution is y = c₁e³t+c₂e-3t 5t = 0

A: The general solution,y=c1e5t+c2e-3t

Q: Find the accumulated future value of the continuous income stream at rate R(t), for the given time…

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Q: Find the volume bounded by the function z = f(x, y) = xy√x² - y² 8≤x≤10 and 0≤ y ≤8. over the…

A: Volume bounded by a function z=f(x,y) and a region R=x,y:a≤x≤b,c≤y≤d is given by V=∫ab∫cdzdydx

Q: (6) Solve the following differential equations of 1 -(- ´, ny)dr = 0 y j 21 ...... (y-xy) dx + xdy =…

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Q: Find the solution of the differential equation that satisfies the given initial condition. x In(x) =…

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Q: Find the moment of mass from the x-axis for y = x ln(x) - 3x and y = 1 bounded by x = 3 and x = 6.…

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Q: Determine the angle between 0 and 360° that is coterminal with -440°. 280 O 180 O 100 O 80

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Q: write the equation y=a(x-1)^2-9 in intercept form

A: The given equation,   y=ax-12-9

Q: y = (kx + b)−1/2

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Q: Suppose y is a function of x. Find dy/dx. (a) g(x) = x + 1/x − 1 (using the definition

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Q: Find the cost function if the marginal cost function is C'(x) = 3x - 4 and the fixed cost is $8. ...…

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Q: Question 2. Let f(x, y) = 5xy² + sin(x + y). Find the following: (a) The gradient of f(x, y). (b)…

A: as per company guidelines we solve only first three subparts when multiple parts question being…

Q: 9. Expand and simplify the answer. (2x - 2)°

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Q: What is the sum of the series 00 10 21 21 11 -7)

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Q: How much did Speedy Movers borrow for a debt that accumulated to $58,040.76 in five years? The…

A: To find out the borrowed amount.

Q: Problem 1. Find and plot the domains of below functions (a) f(x, y) = x²y, (b) f(x, y) = ln(xy-1).

A: To find and plot the domain of the given functions.

Q: Use the graph above to determine the following: a. lim f(x) = x-1- b. lim f(x) = x→1+ C. lim f(x) =…

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Q: If y₁ and y2 are linearly independent solutions of ty" + 4y' + te³y = 0 and if W(y₁, y2)(1) = 3,…

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Q: (2xy² − 2y) dx +(3x²y - 4x)dy = 0

A: Given: 2xy2-2ydx+3x2y-4xdy=0

Q: x²-sin²2x 2) lim x-0 x² 4) lim(1+x) cScx x-0

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Q: Evaluate the integral. (Use C for the constant of integration.) √3x√1- 3x√ 1 - x4 dx

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Q: Find the area bounded by the given curves, or as described. I.) Sketch the graph II.) Find the…

A: The region bounded by the curves,   y=x3, y=0, x=1, x=3

Q: dy dx Assume x and y are functions of t. Evaluate for 3xy-3x+ 5y³ = -195, with the conditions dt dt…

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Q: Q2-Solve the differential equation dy = y - xcos² (2 dx x

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Q: Find the first derivative of sin x y = In 1+2 In x x cot x-2(In x) cot x-2 x(1+2 In x) x cotx+2(In…

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

Q: Find the slope of the line tangent to the graph y=In(4x³+5x-14) at x = -1. Enter your answer as an…

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Q: Find laplase 4-f(t)=e²¹.t³. Answer by hand

A: topic = Laplace transform

Q: Q1: b: Evaluate the limit: (1) lim-11 17-1 x-1 -2x-4 (2) lim,--23+2x² sin(x-3) (3) lim,-3²-9

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Q: While buying a new car, Derek made a down payment of $1,000.00 and agreed to make month-end payments…

A: (a) The given data is: APR=4%

Q: Find the first derivative of exte-2 y = = ܘ ܘ e+ܫܐܕ 2k+e ye+e 2 ܪܢܐ e+e 2 ܢܐܨ ܐ e+e

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Q: #11Determine the conditions on parameter k such that the function f(x) = 2x +4 X2-K² will have…

A: According to bartleby guideliness we can answer only the first  3 subpart of multiple…