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

Q: Consider the following. f(x) = √5-x 2x - 3 Find each limit. (If the limit

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Q: A student bought a smartwatch that tracks the number of steps she walks throughout the day. The…

A: t (min)010203040steps3,5884,4595,5226,5867,508we have to find slopes of the secant line

Q: Find fx,fy, and f₂, and evaluate each at the given point. f(x, y, z) = x²y³ + 2xyz - 4yz, (-2, 1, 2)…

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Q: еш 3 = II шш 9.1 хеши 891 e

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Q: Solve the separable differential equation dy dt = y(t) = - 2y5, and find the particular solution…

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Q: d 5-y(t)+31²y(t) = 0 5—y (1) +3 dt

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Q: Example 1.1. The point P(-2,2) lies on the curve y = √2-x. (1) Sketch the curve and the tangent line…

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

A: The area of the region bounded by the curves y= f(x) , y = g(x)  between x= a and x= b is given…

Q: a) Describe the following formula in words: c=5+2x where c is the cost of a taxi ride in dollars and…

A: As per the guidelines I am answering one question at a time.Given formulac=5+2xWhere c is the cost…

Q: An airplane is flying in still air with an airspeed of 250 miles per hour. The plane is climbing at…

A: An airplane is flying in still air with an airspeed of 250 miles per hour. The plane is climbing at…

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

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Q: A(0,1), B(1,4), C(4,3) and D(3,0) are vertices of a quadrilateral ABCD. (a)Find the equations of the…

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

A: The upper curve is,The lower curve is,.The lower and upper limits are:

Q: A box with an open top is constructed from a rectangular piece of cardboard with dimensions 13 in by…

A: Given,A box with an open top is constructed from a rectangular piece of cardboard with dimensions 13…

Q: He graph (a) lim f(x) = (b) lim f(x) = →2 (c) lim f(x) = (d) lim f(x) = (e) lim f(x) = -8+#

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Q: Solve y'= 5x¹y², using separation of variables, given the inital condition y(0) = 7. y = E

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Q: Given: f(x) = 3x² a) Show the steps of how you find the limit of the difference quotient to find the…

A: The given function is; f(x)=3x2,, point (2,12).

Q: You forgot to solve the other question. The other question is 'Restate definition 4 in your own…

A: We have to restate definition of limit in own words

Q: Find the area of the surface generated by revolving the curve about each given axis. x = 9t, y = 2t,…

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Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

A: Given

Q: The following integral may be evaluated by using integration by parts. Note: e 3 can be entered by…

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Q: C -6 -4 -2 احمد 1 I 4 10 9 -10 -9 -8 -7 -6 -5 -4 -3-2-10 8 6 4 32 1 -2 Use the graph to fill in the…

A: The given graph

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

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Q: The ODE below models a spring, mass, dashpot system with damping constant c, spring constant k, mass…

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Q: Consider the following integral: This may be evaluated by using integration by parts. -) The product…

A: According to Bartleby guidelines we supposed to do the first one of multiple questions kindly re…

Q: 18 Find the product of -2 + 1i and its conjugate. The answer is a + bi where The real number a…

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Q: The graph of a polynomial function y = f(x), is shown at right. Identify the properties and…

A: The graph of the function is given.The aim is to find the  Relative minimum values  Relative maximum…

Q: Problems 1-4, Find the average rate of change for each of the following graphs. Match the graph of…

A: A graph of the linear functions are given.The aim is to find the average rate of change of the…

Q: f(x)= 1 √1-x 寫 款

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Exercise 1.12. Determine the cosine of the angles of the triangle whose vertices are A = (2,-1, 1),…

A: We can find the length of all the three sides then with the help of cosine rule of triangle we will…

Q: In a right-angled triangle, one of the sides adjacent to the right angle is 26.5 cm. If the length…

A: Since you have posted multiple questions, as per guidelines, we are supposed to answer only the…

Q: 7. Given the region R bounded by y = 9 – x² and the x-axis, find the horizontal line y = k that…

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Q: Given ƒ(2) = 3, ƒ(3) = 4, f(2)= -2, ƒ¹(3) = 7 g(2) = 1, g(3) = -1, g(2) = 6, g/(3) = 10 find:…

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Q: Suppose f: R³. → R is a differentiable function which has an absolute maximum value M # 0 and an…

A: We need to find correct option.

Q: this answer is incorrect , please check

A: The answer given is correct.  Let us solve the final answer further.

Q: Evaluate the function at the given value of the independent variable. Simplify the results. f(x) =…

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Q: If x² y/s = 2rp³/(wu), which of the following are inversely proportional to u? Question 5 Answer r,…

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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: Find the derivative of the function. f(x) = (x³ + 8x + 6)(1+--/-)

A: Find the derivative of the function.f(x)=(x3+8x+6)(1+1x2)

Q: Assuming P20, suppose that a population develops according to the logistic equation -0.08P-0.0004p²…

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Q: Let f(x) = 4x5/4 + 4x3/2 + 8x. Find the following. (a) f '(1)   (b) f '(16)

A: f(x) = 4x5/4 + 4x3/2 + 8xFinda) f'( 1)b) f'(16)

Q: Given the series: Σ [In(2(k+ 1)) - In(2k)] k=4 does this series converge or diverge? O diverges O…

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Q: Find the area of the surface generated by revolving the curve y = X Set up the integral that gives…

A: The region bounded by  over the interval  The surface area of revolution about x axis

Q: Determine the general solution of the equation y"+3y'+2y=30e²x

A: The given differential equation .The aim is to find the general solution to the given differential…

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

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Q: Determine the equation of the line that goes through the point (2,2) and is perpendicular to the…

A: To determine the equation of the line that goes through the point and is perpendicular to the line .

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 graph to answer these questions. a. Find lim f(x) and lim f(x). x4+ X-4 b. Find lim f(x).…

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Q: 713 950 -153 -291 840 -262

A: The given problems are , , and.The aim is to find the subtraction of the given problems.