Find the characteristic equation, the eigenvalues,

Q: 1 x √x²+3 igonometric substitution to find f

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Q: 150. Determine the real number a such that vectors a = -3i+2j and b = 2i+aj are orthogonal.

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Q: Problem 4. (. Let C be the curve given by parametric equations r(t) = 1², y(t) = 2t, z(t) = ln t, t€…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: Directions: Use the diagram as a reference to answer the question below. x-axis h y-axis If arccos =…

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Q: solve the equation :- y'(t) = y(t) [a-y(t) ] ₁ y(0) = a/2, 970

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Q: A payment of $13,000 is due in 1 year and $11,600 is due in 2 years. What two equal payments, one in…

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Q: 1 x√x²+3 (A) Use trigonometric substitution to find f

A: Use  trigonometric substitution to solve the integral.

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: After…

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Q: Which among the sets is open? a. [0,1) b. {0,...,1/n,...,1/3,1/2,1} c. R\[a,b] d. None of the above

A: The objective of the question is choose the correct option that is a open set.

Q: Given the function y = f(x) defined at all real values of x. Let x = 2, 3, 5 and 7 are critical…

A: According to given, The function f(x) is increasing in (-inf,2) and (5,7) This is because f'(x) is…

Q: EXAMPLE 6 Evaluate lim x In(x³). x →0+ SOLUTION The given limit is indeterminate because, as x→ 0+,…

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Q: √5x²-3 d X - X -dx

A: Given problem:-

Q: y = (b) -8 -2 ere to search - 6 y 2 -4 -6 -8 1 -4 2 4 1 y 2 61 -4 6 8 O 6 2 8 DELL X X 3. A

A: We have to find the equation of graph

Q: hand written plz 5. Let D be the region bounded by the lines y = x, x=3 and the curve y = (a) Sketch…

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Q: A company determines that its demand function is given by p(q) = -0.4q+ 1841 and that its cost…

A: To find out the marginal revenue at 2785 items.

Q: Question 12 ( What is the function of cos that has an amplitude of 4 a period of at (0,2)? and has a…

A: Given:  Amplitude = 4   Period = 2π  POINT : ( 0 , 2 )

Q: Question Define R as the region bounded by the functions f(x) = around the x-axis, what is the…

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Q: S³ 3 sinh (4x - In 5) dx

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Q: Determine the absolute extrema of the function f(x) = (x-3)ex on the interval -1≤ x ≤ 3.

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t)= -…

A: topic- quadratic equations

Q: By inspection, find the eigenvalues of the following matrix: Enter the eigenvalues in increasing…

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Q: Find the slope of the tangent line to the polar curve r = 1 + cos(0) at the point specified by 0 =…

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Q: 7 dx x4 - 16

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Q: For items 22-23: The equation of a curve is y = 5tanx. 22. What is the slope of the tangent line…

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Q: figure out absolute min & max values: g(x)=cos^2(x)-3sin(x) Interval: 0<=x<=pi

A: Here we have to use the concept of derivatives.

Q: - show that V(x,y) = x 'f (2x+y)

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Q: (x - 2y - 1) dy = (2x - 4y - 5) dx

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Q: 3. Test the following series for being convergent or divergent: (2) Σ < (3n)! n!(+1)!(+2)! (c) Σ…

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Q: A payment of $2,170 was due three years ago, and a payment of $1,850 is due today. What single…

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Q: The task is to set up an iterated triple integral equal to the volume of H using spherical…

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Q: Solve (D³ + 3D² + 16D - 20)y=0 when x = 0, y = 1, y = 0, y" = 1

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Q: 1. Prove the linearity principle (the homogeneous case). That is, if yn (t) is a solution of the…

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Q: ¹In(1+x) -dx 0 X

A: Expand log series

Q: Q.2// Find (A) f sin¹ (x) cos5(x) dx (B) f 4t³-t²+16 t t² +4 dt (C) Use improper integral to find ²…

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Q: Use a triple integral to find the volume of the region bounded by 5x + 6y, z = 7, and the planes x =…

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Q: A farmer finds that if she plants 65 trees per acre, each tree will yield 65 bushels of fruit. She…

A: A farmer finds that if she plants 65 trees per acre, each tree will yield 65 bushels of fruit.For…

Q: If a set S has both a minimum and a maximum, then S is closed.

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Q: Solve Zxy and Zyx when Z=2xy³ − 3x²y

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Q: 9: (71

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Q: NEED ASAP using washer's method, x^2+y^2=25, x+y=5 (smaller area); about y=0

A: This question has been solved using the washer method.

Q: R, S and T are closed sets implies RnSnT is closed.

A: given

Q: What is the derivative of y = (-3x²-x+4)e5 ANSE

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Q: PLETE and RELEVANT justification to earn any points vant! shown below converge or diverge? If yes,…

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Q: Determine the derivative of the function g(x)= 2 / cosx. Do not simplify your answer.

A: Given query is to find the derivative of the expression.

Q: дz For z = x² + xy³ ; x = uv² + w², y = u + vew, find when u = 2, v = 1, and w=0 Əw

A: z=x2xy3, x=uv2+w2, y=u+ve2at u=2, v=1 and w=0, x=2×12+0=2y=2+1e0=2

Q: Solve this using the given-required-solution format. Show a complete calculation without using

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Q: For items 22-23: The equation of a curve is y = 6tanx. 22. What is the slope of the tangent line…

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Q: (x - 8)dx x (x + 5)²

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Q: For the following exercises, use the second derivative test to identify any critical points and…

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Q: The scalar equation of the line perpendicular to (x, y) = (5, 2) +r(1, -3) through the point (2, -2)…

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