Find the angle between in the two planes a = (1,2,3) and b =(4,-5,6)

Q: Find x such that the matrix is singular. 4-[94] A

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Q: Determine which is the pure time differential equation, which is the autonomous differential and…

A: Given equations:  dfdt=e-t2                 ............................(1) y'=3y+y2…

Q: Find the area bounded by y = Round to four decimal places. O 1 21 2 2 36-4x2 " 3 x 0, y = 0, x = 2.

A: This question can be solved by the concept of area bounded by curves.

Q: Solve the following differential equation 1. xydx - (x + 2)dy = 0 2. y' = ysecx

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Q: 1 lim(x²-3x+1) 3. lim tan(x²) 7. lim 2²-1-2 x²-4

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

Q: If the general solution of (2x² − 3y²) y'= 2xyisy “¹n|yº| +xª=Cy", what is the value of b? (A) -1 B)…

A: Differential equation

Q: 33. m -3 -2 2. O -1 1 -2+ Graph of f' +2 3 Let f be a differentiable function with f(1) = 3. The…

A: The function f is differentiable with f1=3. Graph of the derivative function of f is given.

Q: 1 (x²+4)² dx

A: To find out the integration.

Q: (a) lim h(x) X--2 (b) lim h(x) x-0 (0, -5) (-2,-7) y y = h(x) X

A: We have to find limit values at given points x= -2 and x=0

Q: Graph and find the domain and range for y= sin²x + 1

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Q: 14. Which of the following statements is true? The volume of the solid formed by rotating the region…

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Q: <++ 10 -10-9-8-7-6-5-4-3-2-1 9+ 8- 7 1 6+ 10 4 3 Y 2- L -2- 3 -4- 5 -6+ -7+ -8+ -9+ -10+ 2 3 4 5 6 7…

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Q: Solve the given differential equation. All solutions should be found. dy_ x - 4y dx x NOTE: Use c…

A: Let's solve given differential equation.

Q: Consider the function f(x) shown in the following image: Evaluate lim f(x). x-0- A B с D -1 0 1 Does…

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Q: 1. You leave Morgantown at noon and your distance traveled in miles after t hours is given by the…

A: Solution )a) f(t) = -10t2 + 85t  150 = -10t2 + 85t -10t2 + 85t - 150 = 0 10t2 - 85t + 150 = 0 5 (…

Q: Find the solution of the given initial value problem. ty' + 4y = t²t+7, y(1) = 8, t > 0 y =

A: This differential equation can be solved as follows:

Q: Refer to the function f shown to the right. Use the graph to estimate the indicated function values…

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Q: 3 Use the Squeeze Theorem to evaluate lim f(x), where f(x)=x²cos (-). x A B C D - 0 0 1 8 -0-x

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Q: 6. Let f(x) = -5x¹ and g(x) = 2x + x. If h is the function defined by h(x) = f(g(x)), which of the…

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Q: Find the area of the region between the graphs of y = 20 - 2² and y=-2x - 15 over the interval 6 < x…

A: Please see the below picture for detailed solution.

Q: 6. Write the following power functions in the form f(x) = kx² a. f(x) = -³/3 x3 b. f(x) = ³² c.…

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Q: A company must pay a $302,000 settlement in 4 years. (a) What amount must be deposited now at 6%…

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Q: For the discrete logistic equation Xt + 1 = cxt(1 - xt) and the given values of xo and c, calculate…

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Q: = Suppose that f and g are functions where f(- 9) = -5 and g(0) be on the graph of y = f(g(x))?…

A: We have, f-9 = -5 g0 = -9 The function is, y = fgx                                .............1 To…

Q: Solve 2log (√√x) -log(6x - 1) = 0. 1 A X=- 6 B 1 X=- 5 Ⓒx=5 D x=6

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Q: If the general solution of (2x² − 3y²) y'= 2xyisy “¹n|yº| +xª=Cy", what is the value of b? (A) -1 B)…

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Q: 357. 358. 359. cπ/3 0 sinx-cosxdx sinx + cos x ₂π/2 π/6 ₂π/3 π/4 CSCxdx cotxdx

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Q: Expand with binomial formula (a-x)5

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Q: 2.Find the particular solution of y (9x-2y) dx -x (6x-y) dy=0., when x=1, y=1. Let x=vy

A: Find out the particular solution.

Q: Simplify the following: 5 2 + x² + 5x + 6 x² + 4x +3

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Q: I don't understand why the sign was changed from + to - in the second line of step 6

A: see below the explanation

Q: You are calculating a tip on a restaurant bill. The service was good, so you would like to tip about…

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Q: 14. Which of the following does not require the use of the chain rule to find y y = cos ¹(10x5 - x²)…

A: Given problem:- Which of the following does not require the use of chain rule to find dy/dx? (A)…

Q: B. Write the recursive formula for each Sequence, Then determine the next two terms. 1:5, 9, 13, 17,…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Solve the differential equation 4. xdx e-x + (Y+) dy y³

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Q: The shaded region between the graphs of y y = 3x - 15 is displayed below in orange. 2x² + 20 and

A: NOTE: Refresh your page if you can't see any equations. .

Q: 6. The value of a new speed boat depreciates at a rate of 7% per year. If the boat was bought for…

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Q: Prove the identity. sin (x-y) cosx cosy tan.x - tany Note that each Statement must be based on a…

A: We can prove the given statement as per the example in the below steps.

Q: Find the particular solution of y (9x - 2y) dx -x (6x - y) dy=0., when x=1, y=1. Let x=vy

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Q: 7. Write the equation of the graph below.

A: Here we have to determine the equation of the given graph below.

Q: USE HOMOGENEOUS LINEAR HIGHER ORDER DE 4. y(4) + 50y(²) + 625y = 0 ANSWER: 4. y = (C₁ + C₂x) cos 5x…

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Q: CHAPTER O Review Exercise 1. Let f(x) = x³ + ¹. Evaluate f(1), ƒ(3), f(-1), f(-). and f(√2). 2. Let…

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Q: Consider the function f: R²R given by f(x, y) = ³ + ² + 2xy + y2-y. Find and classify all stationary…

A: Here is the solution:

Q: 23. Find the absolute value of the resulting error if the value of fx³ dx is estimated with 3…

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Q: Consider a revenue function defined as R(x) = At what value of x is the rate of change of revenue at…

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Q: 1. h(x) = √4x²

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Q: X f(x) f(x) = Complete the table. (Round your answers to four decimal places.) lim x-0 √x+7-√7 X X…

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Q: 2. Use implicit differentiation to find tangent at the given point: (a) xy + y² = 3-3x² at (-1,1).…

A: use implicit differentiation, I try to provide typed solution, if it is helpful like it.

Q: (x² − 5)· 4x³ − (x¹ − 4)· 2x (x²-5)² f'(x) = Find f'(2).

A: We wil find the required.

Q: Given f(x) = √x and g(x)=x²-9, find the composite functions. (a) f(g(3)) (b) g(f(9)) (c) (^(-¹)) (d)…

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