- 5. Sketch the graph of f(x)= x² – 5x + 6 using the Vertex and the X-intercept. Identify the axis of symmetry.

Q: dx 6) Stanh-¹ (in √x) x (1 - in ² √ x

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Q: Solve the following differential equations of d²y +9y=2e³x +18x+18 dx²

A: First i I have find the complementary function and then particular solution then adding these two…

Q: (6) Solve the following differential equations of 1-(x+3x³ sin y) dx + (x* cos y)dy = 0 2−(2x² +…

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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: (6) Solve the following differential equations of ∙y jo.. 2 (2x² + y)dx+(x²y-x)dy=0 3- 4. : 6

A: To solve the differential equation.

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: Solve the following: √ ( sin 3x e3x 0 + 2) dx + 2x³ sin 2x) dx 2. 3. f sec x (secx + tanx) dx 7.…

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Q: Given y=(3-ex)/2ex  , determine the behavior as x approaches negative infinity

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Q: Find the partial derivative of z with respect to x (32) for z = (3x² + 1) cos(x²y) O None of the…

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Q: d²y dy 2. +4 + 4y = 0, when x = 0, y = 1, y' = -1 dx² dx

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Q: A small company of science writers found that its rate of profit (in thousands of dollars) after t…

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Q: Use logarithmic differentiation to find the derivative of the function. y = (x5 + 2)²(x4 + 4)4 y'(x)…

A: By using logarithmic differentiation to find the derivative of the given function.y=x5+22x4+44

Q: Find the center of mass x of the point masses lying on the x-axis. m₁ = 8, m2 m₂ = 8, m3 = 8, m4 =…

A: We have to find center of mass.

Q: Find a differential equation whose general solution is 7t y = c₁e²t + c₂e-5t = 0

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Q: Find dy/dx for the following function: (3) y = √tan x

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Q: Find an approximation of the area y = 16 - x² over the interval [0,4] using L6 (left end point…

A: Use: Area=∆xf(x1)+f(x2)+f(x3)+f(x4)+f(x5)+f(x6)       where ∆x=b-anwhere n= no. of rectangle…

Q: EVALUATE: IF A = 3i-j-2K FIND: | (A+B) × (A-B)| | (A x B) | & B = 2i + 3; +!

A: We can solve as follows

Q: y = tan-¹(¹+x) -1

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 6. Solve dy/dx = 3x^2 - sin y/ x cos y a. -x sin y = x^3 + c b. x sin y = - x^3 + c c. x sin y =…

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Q: 5, S₂(4 - 2x)dx

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Q: Solve the following algebraic and trigonometric functions by parts. | a) [ x2cosx dx b) √ xlnx dx c)…

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Q: > For y, polynomial x = y₁ 1 D²-2 [x²] y, = [-1-D² +...]. [2x+3]

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Q: (2) Show that y = x sinx is a solution to y"+y= 2 cos 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: Let f(x)=x² defined a function on the closed interval −2 ≤ x ≤ 8. 1. f (4) 2. f(-3) 3. f (t – 3)

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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: Prove that (AXB)×C=B(A • C)-C(A • B).

A: The solution is given in the next step.

Q: 1. S^₂(x²-x)dx

A: Find the integral

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

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Q: Calculus. Please write the complete solutions legibly. Upvote will be given! Find the area inside…

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Q: d.x (1) √₂√(1+√5)²

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

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Q: The radius r of a sphere is increasing at a rate of 2 inches per minute. (a)  Find the rate of…

A: The radius r of a sphere is increasing at a rate of 2 inches per minute. (a)  Find the rate of…

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

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Q: The number of bachelor's degrees conferred has been increasing steadily in recent decades. The rate…

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Q: f= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the…

A: Please refer too the image below

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: (3x²y + 2xy + y³)dx + (x² + y² )dy = 0

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Q: the intervals on which the function is increasing, the intervals on which it is decreasing, and the…

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Q: IF A = i-2j-3K, B= 2i tj-K, C= i +3j -2 FIND (LAXB) x C 1 ) ( | A x (BxC) 1) (A • (BXC) (A x B) • C

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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: A 14-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

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Q: 3) Cindy will require $18,000 in 7 years to return to college to get an MBA degree. How much money…

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Q: (2) Show that y=x sinx is a solution to y"+y= 2 cos x.

A: To Show: y=x sinx is a solution to y''+y=2cosx

Q: dy dx for the following functions 1. y = cot X 2. y = sinxtanx Q4/A/Find

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Q: Find the center of mass of the given system of point masses. (x, y) = mi 5 1 3 (Xi, Yi) (2, 2) (-5,…

A: In this question, we want to find the centre of mass of the given system of point masses.

Q: For the function g(x)=x^2 -2x + 5 estimate for the instantaneous rate of change at x=3. Round to the…

A: For the function g(x)=x^2 -2x + 5 estimate for the instantaneous rate of change at x=3. Round to the…

Q: p=q= r= (Simplify your answers, including any radic

A: Follow the procedure given below.

Q: Repeated Irreducible Quadratic Factors: Examples 1 √v++ By² + 16 dv 8v²

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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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