What is the equation of the tangent line to the curve y = √2 +16when x = 3? V x-10y +47=0 3x-25y-116 Or 60y +297 3x5y + 16-0 0

Q: -21 Give a general solution of the differential equation y"-2y'-8y = 3te ²¹.

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Q: Solve the given differential equation by finding, as in Example 4 from Section 2.4, an appropriate…

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Q: Solve this question yey = 1

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Q: 1. S (x¹+3x²+1) dx 2. f(x³ + x² + x−¹)dx p³ +p²+p+1 dp 3. p3 √ 2² (√z + √z-1) dz 8x³+27 -dx 2x+3 5.…

A: The objective of the question is evaluate the anti-derivative.

Q: Give a general solution of the differential equation y"–9 y = −2t cos 3t

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Q: Your answer is incorrect. Graph the function. y--33 Plot five points on the graph of the function:…

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Q: d- d³y dx3 d²y +69² y dx² - dy 15- dx 100y = 0 equation

A: Topic = Differential equation

Q: Evaluate the line integral F. dr where F(x, y, z) = x²y i+ x³ j+e² tan-¹ z k and C is the curve of…

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Q: X-6 The equations x+y=6 and y 9 8 7 6 5 4 1 -10-9 -8-7 -6 -5 -4 -3 -2-10 -1 -7 -8 -9 -10 Determine…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the area of the region bounded above by y = sin(x) and below by y = cos(x 2 1.5 4 0.5+ X

A: Using horizontal /vertical strip

Q: Question 1 Consider the function below. f(x) = ex/x (a) Find the intervals on which f is increasing…

A: Explained below

Q: Prove the identity sin(-0)- cos (+0)

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Q: Solve the differential equation. 15. 2x ( 3x + y – ye^-x2) dx + (x^2 + 3y^2 + e^-x^2) dy = 0

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Q: Solve the I.V.P using [x = zry]. y di dx + (y cos ( 1 ) - x) dy = 0, y (0) = 262

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Q: Find the general solution for the following Second Order Deferential Equation: Q4: d²y dx² - y = ex…

A: Given: d2ydx2-y=ex+x2 So, we can also write as: D2-1y=ex+x2 The auxiliary equation of the…

Q: 4. A plane travels on a bearing of 15° at an air speed of 655 km/h. It encounters a wind blowing at…

A: This question is related to vector addition, we will solve it using given information.

Q: Let f denote a piece-wise defined function whose graph on the closed interval [-3,3] is shown below:…

A: we have given the graphf will be decreasing in itervals where its slope is negativewe can observe…

Q: Jo xy ds where C is the line segment from (2,0) to (5, 4). Evaluate the line integral

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Q: 2π -5.² b- - 1 do (1 + tan²0)³ 0

A: See this solution in below

Q: (1) IF: a 21-j+ k, b=i+2j- 3k, č=-3i+2j+ k Find a.b, a.c, č.ā (a+b).(a-b),(ã+c).(ā-) (ã+2b-3c). (ā-…

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Q: Suppose two positive real numbers a and b add to 120. Find the values of a and b that maximize the…

A: Given a+b=120 .....1

Q: 4. √ (3x² + 4x − 5). 8(r³+2x²–5x+5) dx

A: We have to find solutions

Q: Solve the differential equation. 4. (2x – 3y) dx + (2y – 3x) dy = 0

A: Just I have used the method of exact differential equation and then solved it .Final  solution is in…

Q: Find the volumes of the solids generated by revolving the region about the given line Use the…

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Q: V. A hemispherical basin of radius 4 ft contains liquid to a depth of 3 ft. If the liquid weighs 48…

A: This is a problem related to pumping volume of the spherical basin to the 3 ft above the container.…

Q: Suppose a person is going up in a hot air balloon. The surrounding air temperature in degrees…

A: To find out the rate of decreasing of temperature.

Q: whats the value of alpha?

A: In question their is no such variable alpha . Question is incomplete.

Q: Draw a cone that is inscribed in a regular pyramid whose altitude is 5 inches less than 3 times a…

A: Concept: The volume of the cone is 13πr2h The surface area of the cone is πr2+πrl Where r is the…

Q: The area bounded by the curve y = x3/4, the x-axis and the line x = 2 is revolved about the y –…

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Q: d. y""-6y" + 12y' - 8y = 0

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Q: A small hole on the sack of rice cause some rice to be wasted while the sack is being lifted…

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Q: I For what values of x does the graph of f have a horizontal tangent? (Use n as your integer…

A: In this question, we want to know at which points , the function f have horizontal tangent.

Q: Find the solution of the given ODE. * x² + 3y² y 2xy Y = 1 Option 1 1 8 85 x = Cx = Cx 2 1 + ( ² ) ²…

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Q: 6. Find the volume of the solid generated by revolving about the y-axis the region bounded by the…

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Q: The capacities at which U.S. nuclear power plants are working are shown in table for various years.…

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Q: (5) Suppose that fis continuous on [a,b], _f(x) ≥ 0 Vx = [a,b] and ['f(x)dx = 0. E Prove that f(x) =…

A: Concept: In this question, we will prove that f(x)=0 ∀x∈a,b using the contrapositive method. Let us…

Q: The Shroud of Turin, which shows the negative image of the body of a man who appears to have been…

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Q: Evaluate the line integral y² dx + x²y dy where C' is the rectangle with vertices (0,0), (5,0), (5,…

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Q: Sodium chlorate crystals are easy to grow in the shape of cubes by allowing a solution of water and…

A: Given problem:- Sodium chlorate crystals are easy to grow in the shape of cubes by allowing a…

Q: 9(x) f(a) -10-9-8-7-6-5-4-3-2 The graphs of f(x)-- Ox-Intercept O Vertical asymptote O Range O End…

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Q: (y³ - 3x²y + x³ - 4x) dx + (3xy2 - x³ + 8y³ +y + 5) dy = 0 I. f(x, y) = M(x, y) dx + g(y) II. Find…

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Q: find  the area of the  region bounded by the  curves y²=4px and x²=4py

A: To find the area.

Q: Solve the given initial-value problem. x(x + 1) dy + xy = 1, y(e) = 1 dx y(x) = Give the largest…

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Q: 16 Estimate lim is approaching to using a table of functional values.

A: We  find the table for the function f(x) near about the point x=4 then trying find out the limit…

Q: Given a vector function (a) Find the domain of r(t). (b) Find the limit lim r(t). t→1 (c) Find the…

A: The objective is to solve the above question.

Q: -Reduce the equation to its ordinary form using rotation and translation of axes

A: answer is in next step .

Q: 12. DETAILS ZILLDIFFEQMODAP11 1.R.001. Fill in the blank. The symbol C₁ represents a constant. d =…

A: The solution is given below.

Q: Solve the following equations:السؤال الثالث حل نظام المعادلات by using Cramer's rule باستخدام طريقة…

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Q: Find the coordinates of a point P on the line and a vector v parallel to the line x = 3 - 5t, y = -1…

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Q: Higher Partial Derivative d'u ôxôxôy 4. _x³y² u 2 yz

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