Consider the indefinite integral (25 - 2)5 This can be transformed into a basic integral by lettin U= du and dx: dx Performing the substitution yields the integral

Q: 2. Find a and b so that y = x³ + ax² + b will have a relative extremum at (2,3).

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Q: What form of the particular solution is appropriate for the differential equationy"- y'=4? (A) y =…

A: Solution: Given differential equation is, y"-y'=4

Q: C [² (₁²- Jo (u² - 2u) du

A: Solution : Given that integral is

Q: onvert the line determined by the symmetric equations - 2 y+1 - 3 form. -2 parametric t) = t) = t) =…

A: Given query is to find the parametric form of the line.

Q: The fox population in a certain region has an annual growth rate of 5 percent per year. It is…

A: Given: Fox population in year 2000, P1=13200  Annual growth rate, r=5%

Q: Question Determine the derivative of the parametrically defined curve represented by the equations…

A: Determine the derivative

Q: Find all the roots of the given function. Use preliminary analysis and graphing to find good initial…

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: Prove that, a.) lim X10 b.) lim X O 3x + 1 X+1 sin x X 1 1

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Q: tch the graph of y=tan(x) for one cycle.

A: we will plot the required graph.

Q: The marks scored by 10 students out of 75 are given as 3, 30, 10, 13.9, 41, 56, 30, 71, 30, 13.9,…

A: The marks scored by 10 students out of 75 are given as 3, 30, 10, 13.9, 41, 56, 30, 71, 30, 13.9,…

Q: You can afford a $200 per month car payment. but its a  4 year loan at 5% interest. How big of a…

A: Given : rate = 5% time = 4 year  d = $ 200   formula :

Q: Solve the FIRST ORDER LINEAR D.E. Linear in r sin 0 dr de = -1 - 2rcos 0

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Q: The height (in meters) at time t (in hours) of a balloon is given the formula h(t) = -20tª + 80t.…

A: The height (in meters) of a balloon at time t (in hours) is given by ht = -20t4+80t…

Q: Consider the indefinite integral fat This can be transformed into a basic integral by letting ՂԱ du…

A: The given integral, ∫x4x5-8 dx We have to change this integral using substitution.

Q: The polynomial of degree 4, P(x) has a root of multiplicity 2 at x = 1 and roots of multiplicity 1…

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Q: Parameterize the ellipse given by x (t) = y(t) = 25 = 1 so that when t = 0, we have the point (5,0).…

A: Given Equation:- x225+y21=1

Q: cy that best fits the data points (0,

A: z = a + bx + cy bx + cy + a = z Data points => (0, -3, 0), (4, 0, 0), (3, -1, 1), (1, -2, 1), and…

Q: Evaluate SS √1 + x² + y² dS where S' is the helicoid: r(u, v) = u cos(v)i + u sin(v)j + vk, with 0…

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Q: How much more interest will be earned if $5000 is invested for 6 years at 7% compounded…

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Q: Find a polynomial of the specified degree that satisfies the given conditions. Degree 4;    zeros…

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Q: A window is being built and the bottom is a rectangle and the top is an equilateral triangle. If…

A: total perimeter of the section( P ) = perimeter of rectangle + perimeter of triangle let width of…

Q: . Зп 2п f (x) dx

A:

Q: FIND THE 2ND DERIVATIVE 4. cos xy-y-3x = 0 Solution:

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Q: Find the area of the region between the curves y = ³ and y = 8x - 2x².

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Q: Find the area of the region enclosed between f(x) = x² + 11 and g(x) = 2x² +2. Area = Note: The…

A: Given query is to find the area enclosed by the curves.

Q: Use a triple integral to find the volume of the wedge bounded by the parabolic cylinder y=x² and the…

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Q: 4) Evaluate ĺ jedydx 29f071p =

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Q: 3. Decide if the given sequence {a} converges, or diverges. If it converges, determine the limit of…

A: If the limit of the sequence at infinity is finite then sequence is convergent.  If the limit of the…

Q: Evaluate the integral: 2₂4-2² J O*[] π 2 [1-4] 021-]+0 O O 4T e4 dydx -√4x² ex²+y² +C

A: To evaluate the following integral.∫-22∫-4-x24-x2 dy dxex2+y2

Q: System Of linear Equation : The Company producing training sets for basic operations with ABC…

A: Topic - Linear equations  We are given  the company will produce a total of 7308 educational sets.…

Q: For f(x, y) = e²¹+¹5%, find the second order partial derivatives fry and fyz of the function. O…

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Q: The rectangular coordinates of a point are given. Plot the point. -1.5 -1.0 O (1, 0) (r, 8) = -0.5 y…

A: The objective is to solve the above question.

Q: 56. L²₁ dx 2 x² 3 2

A: ∫xndx=xn+1n+1+clet  I=∫-124x3dx

Q: Find the reference angle, the quadrant of the terminal side, and the sine and cosine of 135°. Enter…

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Q: Determine the mass of a wire in the shape described by the equation x2/4 + y2 = 1 traced…

A: A detailed solution is given below.

Q: Given f(x) = ax³ + bx² + 9x + c. Find a so that (2,3) is a point of inflection of the graph of f and…

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Q: What is a parametric description for the plane - 20x - 18y + 2z = 8? Select the correct answer…

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Q: Which graph represents the reciprocal of y=(x+2)²-3? A B La C D U home

A: The function is  y=(x+2)2-3

Q: Given f'(x) = 3x¹ − 4x³ + 7. Determine where the point of inflection of the graph of f occur. (a.) x…

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Q: Find the general solution of the HLDE (D2 + 2D + 1)(D2 + 4)? = 0

A: The given equation is; (D2 + 2D + 1)(D2 + 4)y = 0

Q: g(x) = (x − 2)(3x + 1)(x + 4); only power rule

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Q: Find the points of intersection of the two graphs y = sin (2x) and y = 2 cos²(x) for 0 ≤ x < 2.…

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Q: 2. Find each indefinite integral. Show all steps. of si a) sin²(6t) · cos5 (6t)dt

A: As per the Bartleby guidelines, answering only first question because the other questions are not…

Q: What is the distance of following line to the origin  [20, 21] . [x, y] = 29. Round your answer to…

A: The given line 2021·xy=29. We have to find the distance from the line to the origin.

Q: Solve the Differential Equation using different methods  y'=x-4yx

A: We need to solve D.E.

Q: Solve the following differential equation, subject to the given initial condition. dy x +(1+3x)y =…

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Q: re4 1 2 e² x ln²√x dx

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Q: The height y (in feet) of a ball thrown by a child is 1 x² + 2x + 5 y 16 where is the horizontal…

A: To determine the distance from the child where the ball strikes the ground

Q: Question 5. 56 The inverse Laplace transform of s² + 64 is Asin(bt), where A and b are constants…

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Q: 1-4 Find the local and absolute extreme values of the function on the given interval. 1. f(x)=x² -…

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