Evaluate the indefinite integral. cos x dx (sin x)27

Q: 2x) dx Find an approximation to the integral using a Riemann sum with right endpoints and n = 8.

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Q: J In(x² + 1)dx

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Q: Solve the following and show the complete solution. Find D,f at P: f(x,y) = sin(8x – 5y); P(5,8)); u…

A: Given,            fx,y=sin8x-5y ; P5,8 ; u=35i-45jTo find : The directional derivative, Duf at P.

Q: 15 dx +C + x2

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Q: H = 33(10VV - v + 10.45) where v is the wind speed (in meters per second). (a) Find dH dv dv dH in…

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Q: 4x? ds where Cis the portion of the curve y y° 1 =- from Evaluate the line integral (1,1) to (2,4).

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: 3. Water is flowing into a vertical cylindrical tank at the rate of 24 cubic ft. /min. if the radius…

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Q: Find the limit of the sequence: 4n? + 2n + 3 An 4n2 + 6n + 2

A: limn→∞ 4n2+2n+34n2+6n+2=limn→∞ 4+2n+3n24+6n+2n2=limn→∞ 4+2n+3n2limn→∞ 4+6n+2n2=44=1

Q: 1. Solve the following quadratic equation by completing the square: x2 – 6x +4 = 0

A: We are authorized to answer one question at a time , since you have not mentioned which question you…

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: Here, the required plane is perpendicular to the vector n=-2i+8k.

Q: The velocity graph of a car accelerating from rest to a speed of 105 km/h over a period of 30…

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Q: y y=x+1 x= 4 y = 0

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Q: Consider the following. u = (6, -1, 0) v = (-2,3,0) Find u x v. Determine if u x v is orthogonal to…

A: Explanation of the answer is as follows

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A: an=nqen limn→∞an=limn→∞nqen = 0 [when x tends to infinite ax>xa (where a is positive constant)]…

Q: y 4 3 2 -6 -5 +4 -3 -2 -1 1 2 3 4 5 6 -1 -2 -3 y = f\x) -4 1.

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: Find the component form and magnitude of the vector v with the given initial and terminal points.…

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Q: (d) Find the range of f(x). O (-3,4] O [-3,3] O [-3,1) U (1,4] O [-3,4] O (-3,2) U (2,4] O [-3,2) U…

A: From the given graph we can see that the value of f(x) are varying between -3 and 4.

Q: Evaluate the definite integral. 7t ej+t O e? - 1 i - elj+ 7 2 O e? - 1 i+ 7 k - O eľ - 1 i - 7 1 k -…

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Q: Q1: Using the Laplace transforms we found in class, together with linearity, com- pute the following…

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Q: Find u v, u u, ||v||, (u v)v, and u (3v). u = (3, 11), v = = (-4, 3) %3D (a) u. v (b) (c) ||v||2 (d)…

A: Given: u=3, 11, v=-4, 3

Q: Ship A is 50 nautical miles west of ship B. Ship A is heading east at 10 knots and ship B is heading…

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Q: 4x2 + 4x 7 If y = find: 6 5x dy %D da

A: Consider  y=4x2+4x-76-5x

Q: Change the following polar coordinate points into rectangular coordinate points. Leave all answers…

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Q: hplete the table by identifying u and du for the integral. dx u = g(x) du = g'(x) dx | (tan(x))7…

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Q: Given the series: 1 1+ - 6. 1 1 + ... 36 216 does this series converge or diverge? O diverges…

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Q: -243 S sx(*)dr J ft]dt =m Find if

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Q: An airplane flies at an altitude of y = 2 miles toward a point directly over an observer (see…

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Q: (a) Graph the equations in the system. (b) Solve the system by using the substitution method. (x+3)°…

A: Using substitution method.

Q: omposition. Suppose we want to find the composition of a function with itself. Let g(x) = -4(x+3)2…

A: Given, g(x)=-4(x+3)2

Q: The two figures are similar and regular solids. Find their mass if the sum of eir mass is 120g. e1 =…

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Q: dy Find of y = /2u – 9; u = x² – 9 dx Type your answer without fractional or negative exponents. Use…

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Q: Question For the function given below, which statements concerning Rolle's theorem are true? f(x) =…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. sin (70) de…

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Q: The other type of question in chapter 7 is solving trigonometric equation. We will not be practicing…

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Q: 6. Change the order of integration and evaluate the integral y+1 у? dxdy -1 Vy+1

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Q: Exercise 1.11: For each of the following differential equations, identify its order, degree, type…

A: Highest order derivative in Differential equation is called order of differential equation .  Degree…

Q: 3. y" +4y = 0; yıi =cos 2x, y2 = sin 2x; y(0) = 3, y'(0) =8 4. y" + 25y = 0; yı = cos 5x, y2 = sin…

A: Note : "Since you have posted multiple questions, we will solve first question for you. To get…

Q: Find the value of m for which the equation x' + y? – 2y + 4x –m = 0 represent a point. O NONE OF…

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Q: Find the area enclosed by the curves f(x) = 32-x and g(x) =x. %3D %3D The area (rounded to two…

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Q: 30 If g(y) - (v- 11y + 18) lly + 18)*, find g'(y) = 30(v - 1ly+18) ) 29 (2y – 11)

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Q: Graph the following equation by completing the table. r = 3 + 3sin0 0° 30° 90° 150° 180° 210° 270°…

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Q: p(x, Y, z) 4 – x2 – y²

A: Given problem:-

Q: Lets compute a derivative in reverse! Given the function f(r) = e² + sinhr + + z find a function…

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Q: 2. Find the slope of the curve r = e® at the point with 0= t/2.

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Q: 2- 4 The graph of f is shown in the figure above. If , f(x)dx- 2.3 and F'(x) f (x), then F(3)-F(0)=

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Q: Consider the following. u = 3i - j - k, v = -i + 5j + 7k (a) Find the projection of u onto v. (b)…

A: A detailed solution is given below

Q: Evaluate the following limit using L'Hospital's rule. lim (cos(6x))) Provide your answer below: lim…

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Q: ind an equation of the plane with the given characteristics. The plane passes through the points (4,…

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Q: Solve the given differential equation by separation of variables. dy - ху + 4y — х - 4 xp ху — 5у +…

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