Calculate the integral approximation Se for 6 S₂ 72²1 dx. 2

Q: Use the method of reduction of order to find a second solution to t²y"+2ty'-2y = 0, t>0 Given y₁(t)…

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Q: Use the Intermediate Value Theorem to show that there is a root of the given equation in the…

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Q: 1. Find all solutions of the following separable ODE's. Remember to include the interval on which…

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Q: 4 The slope of the tangent line to the curve y == at the point (8, 8, 7/7) i is: I The equation of…

A: The find the slope of the tangent line to the curve  at the point .To find the equation of the this…

Q: Evaluate the following integral using trigonometric substitution. x2 √√4+x² S =dx

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Q: 14. Find a parametrization for the line segment in the plane going from (12, 42) to (7, 49).

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Q: 3 B d The following integral may be evaluated by using integration by parts. Notes: • powers can be…

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Q: Q2/ Find the area bounded by the curves y x2and y- 2x - x² using numerical integration.

A: We have to find the area bounded by the curves.

Q: Show that f and g are inverse functions analytically and graphically. - 1 f(x) = 5x + 1, g(x) = ) =…

A: f(x) and g(x) are inverse of each otheriff(g(x)) = g(f(x)) = x

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Use the method of reduction of order to find a second solution ty" —(8t + 1)y'+(16t+4)y=0, t>0 Given…

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Q: Solve the equation. Give exact answers. Do not use your calculator. e2x - 5ex + 4 = 0 X = X =…

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Q: Evaluate each of the following expressions. Note: Enter "DNE' if the limit does not exist or is not…

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Q: n6 n7 This sequence is Select an answer This sequence is [Select an answer This sequence [Select an…

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Q: Use the graph to determine the x-values at which f is discontinuous. For each x-value, determine…

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Q: 13. On what interval(s) of x is the graph increasing? 14. On what interval(s) of x is the graph…

A: Graph increases when the values of y  increases  with increase in  values of x or slope of the graph…

Q: Given f(x) = (x − 2)³ + 1 find ƒ−¹ (x). - 1+ 2x 7+x Given h (x) = find h-¹ (x).

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Q: Find the values of a and b that make f continuous everywhere. x² - 4 x-2 a = 3 b = f(x)= ax² - bx +…

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Q: 1. Graph f(x) = 2³-7x²+17x-15 x-3 • Find f(3) • Explain what this means • Find lim f(x) 2-3 on your…

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Q: In a right-angled triangle, one of the angles is 60°. If the side opposite this angle is 15 cm, what…

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Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) (a) (b) (c) -1 y 7…

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Q: c) Hence write down the indefinite integral: d) (Don't forget the constant of integration as this is…

A: product rule

Q: Determine the open t-intervals on which the curve is concave downward or concave upward. x = 5 +…

A: The curve y= f(x) is concave upward if f"(x) > 0The curve y= f(x) is concave downward if f"(x)…

Q: Given the equation x2 - 10x - 20y - 15 = 0. Write it in STANDARD FORM and find the following…

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Q: Suppose 294 mg. of a radioactive substance are present in a closed container and additional amounts…

A: Initial amount (No)= 294 mgDecay constant (k)=-0.02308 day-1Additional amount added = 3 mg every day

Q: A boat is pulled into a dock by means of a winch 12 feet above the deck of the boat. 12t 14 ft/sec…

A: Given:A boat is pulled into a dock by means of a winch 12 feet above the deck of the boat.Let x be…

Q: A rectangle in quadrant I has a corner at the origin and an opposite corner on the graph of y =…

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Q: Find and simplify the difference quotient f(x) = -5x f(x+h)-f(x) h f(x+h)-f(x) h = (Simplify your…

A: The given function is

Q: Find both first partial derivatives. - L (19 f(x, y): = fx(x, y) = fy(x, y) = (19t + 17) dt + L (19t…

A: Solution-

Q: Please attempt the following problem (do both as they count for one question) Express the area of ℛ…

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Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A: The given differential equation

Q: 5 Evaluate the expression (4 + 2i) (-2+ 4i) and write the result in the form a + bi. The real number…

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Q: Integrate the following Lid (z + 1)² L.r

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Q: 9. For a general function y = f(x), what does - 10. If f(x) = x² + 3x + 2, find ƒ(5) - f(2) 5-2 ƒ(5)…

A: Given

Q: The graph of f(x) is given below. Which of the conditions for continuity are true for f(x)? Select…

A: The graph of  is given below.To determine the conditions for continuity that are true for .

Q: f(x) = 45.183(0.831x) + 60 thousand farms where x is the number of years since 2000, based on data…

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Q: Find the solution of the given initial value problem in explicit form. Determine the interval in…

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Q: The following integral can be evaluated by using substitution: a) b) c) Identify the inside…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Solve the separable differential equation for u, u(t) du dt 1 = Use the following initial condition:…

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Q: Find the area of the shaded region. 1(1, 1) 5 10 y=√x y = 15 20 X = 27 25 X

A: The region bounded by curves  and  The given graph

Q: A 0.8-liter bottle of Mexican wine costs 108 pesos. At that price, how much would a half-gallon jug…

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Q: For the function f whose graph is given, state the value of each quantity, if it exists. (If an…

A: Given:  The graph of the function  is shown below.To Find: To find the following.

Q: Sketch the graph of the piecewise-defined function. Write the domain and range of the function. 4|x,…

A: given

Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the…

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Q: SECTION: For full credit, you must show all work and box answers (when appropriate). 1. (Vector…

A: Solution is following in step 2.

Q: . Find JpF-dr, where P is the line segment from (0, 1) to (1,0) and F(x,y) = (z²+²y).

A: We have to find  where P is the line segment from (0,1) to (1,0) and

Q: (d) lim f(x) x-6 (e) lim f(x) x→6+ (f) the equations of the vertical asymptotes (Enter your answers…

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Q: 13. Expand the following binomial functions by using given formula. n! finding kth term of (a+b)"…

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Q: 2 2 Given the series + 9 81 2 729 Does this series converge or diverge? O converges O diverges If…

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Q: Find the exact length of the curve arc-length = Jx=e²+et y = 6+2t for 0 <t<=

A: The given curve equation is The length of curve