Determine the critical points of f(x) = 8x3+81x2−42x−8.

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Q: Find the Wronskian of the functions f(t) = 3et sin(t) and g(t) = et cos(t). NOTE: Your answer must…

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

A: Given: x= y2 + 4y, x=0

Q: Q3/A/Find the surface area generated by rotating the curve y = cos h(x) about x axis for 0≤x≤1

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

Q: Find a differential equation for y=c1e^9t +c2e^-4t. Oy"+5y'+16y=0 Oy"-5y'-16y=0 Oy"+5y'+36y=0…

A: Find DE

Q: graphing calculator is recommended. Consider the following. x = t² - 7t, y = t5³, 1st≤4 Write an…

A: To find the length of the curve.

Q: The marginal profit in dollars on Brie cheese sold at a cheese store is given by P'(x) = x(40x²…

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Q: The point (-1,-4) lies on the circle whose center is at (3,-1). Write the standard form of the…

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

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

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Q: Evaluate (+2)(3-2) dr Use C to denote an unknown constant Answer:

A: First we multiply (t+2 ) and (3t-2)

Q: At which angle is cos Ⓒ =-1? 0 O 2 OTT

A: Given query is to find measure of the angle.

Q: 2/5 Find the cost function if the marginal cost function is given by C'(x)=x +3 and 32 units cost…

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Q: (6x²-y+3) dx +(3y²-x-2) dy

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Q: What is the sum of the infinite geometric series? 25-10+4-+ The series diverges. NIG 5 0 50 125 7 87…

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Q: An elliptical plot of garden has a semi-major axis of 6m and a semi-minor axis of 4.8m. If these are…

A: Given :   Semi major axis of ellipse = 6m and semi minor =4.8 m

Q: 03: Evaluate the following integrals: (5) √cotx.csc4 x dx

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Q: Choose the figure that shows an angle of radians in standard position.

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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: 3. fsin (3x) cos(x + 1)dx

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Q: Evaluate by interperting in terms of area, Find the area 4 I 15x-31dx

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Q: A box is a cuboid with dimensions 28 cm by 15 cm by 20 cm all measured to the nearest centimetre.…

A: Concept: The volume of the cuboid is: V=lbh Where l is the length, b is the breadth and h is the…

Q: Solve dy dx +4y=2.

A: Solving the differential equation by seperation of variables

Q: رد البر A Polynomial of the third degree reculting from the Tyler series of the function fix)=√x+1…

A: The given function is f(x)=sqrt(x+1), x0=1.

Q: Differentiate f(x) = 2π.

A: Given  f(x)=2π Apply differentiation

Q: All computations in this section must be done by the definition of Taylor series (taking…

A: according to given, only 1st solvedGiven :f(x)=1-xx=0

Q: 1 3 Solve the following differential equations of v\dv: (6x²-y+3)dx+(3y²-x-2) dy

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Q: An employee earns $48,000 in the first year with a company. Every year, the annual salary increases…

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Q: The graph of the function y-/x) is below. f(x) X B From largest to smallest, what is the order of…

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Q: Part One. All of the equations listed below are general equations of conic sections. Study each…

A: Given Equation :- x2+y2-24x-16y+188=0

Q: 1 √x 0 1-y f(x, y, z) dz dy dx

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

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Q: (A) Find Laplace transform of the function : f(t)=1 sin(2t+) cos(21-7)

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Q: Problem 2. Find an equation for the plane that passes through points (1,4, 1), (1, 7,3), (3, 9, 1)

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Q: Find the first derivative of y = x (cos(In x) = sin(Inx)) O-2 sin(In x) O sin(In x) O 2 sin (In x) O…

A: derivative

Q: For the equation, find ay evaluated at the given values. dx x² + y² = xy + 28 at x = 6, y = 2

A: The given equation:x2+y2=xy+28We need to find dydx at x=6, y=2.

Q: Given the function g(x, y, z) = x²y - 4zex+y, find the slope at P(1,0,1) in the direction of the…

A: Here is the solution

Q: 5, S₂(4 - 2x)dx

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Q: Find the value of x for which the line tangent to the graph of f(x)-7x2+4x-14 is parallel to the…

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: 05: Solve the following system of equations by Gramer's Rule. 2x - 4y 0 x+y+z=1

A: Use Cramer rule to solve the system

Q: 04: Find dy/dx for the following function: (1) y=sinh-1(tanx)

A: Given problem:- y=sinh-1(tanx)  Find dy/dx

Q: Determine the equation of the tangent to the curve y = x - e^-x that is parallel to the line 6x - 2y…

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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: s dx 20+ 8x - x²

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Q: For the next two exercises, determine the Taylor series generated by the function f at x = a.

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Q: me he Value of 4 Eth 4E f(a) integral 1=1,3 2 xex dx using Simpson's methhod when n = 8 is 65.3690…

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Q: Solve the following: i) ii) iii) 6n² x n² x 7n² 2 5x²xx³y² 3 2 10 a4b5c a7b5

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Q: Find the volume of the region under the surface z = ry² and above the area bounded by x = y² and x -…

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Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10…

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