dx ylnx- dy y + 1₂ X 2

Q: Consider the matrices shown below: Find the value of K such that 4 B-B2C-13 = 5 1 10 18 18 B-¹C – 15…

A: Given B=4-102 and C=142315We know that if A=abcd then A-1=1ad-bcd-b-caB-1=18+12104=192104

Q: Which value of c satisfies the conclusion of the MVT for the function f(x) = -6x²-3x - 2 on the…

A: Solution-

Q: 2 (e²t-e-2) ² 32 s(s² + 16) Option 4 32 s(s² - 16) Option 1

A: Given :e2t-e-2t2

Q: Find the general equation of the conic with the given properties. 51 59 1. A parabola with directrix…

A: Given: A parabola with directrix y=-5132 and one endpoint of the latus rectum at -18, -5932

Q: Determine the intervals on which the function is concave up or down and find the points of…

A: solution:-f(x)=6x3-11x2+1f'(x)=ddx6x3-11x2+1=18x2-22xf''(x)=d2dx26x3-11x2+1=36x-22

Q: Find the instantaneous rate of change for the function at the given value. f(x) = x² + 3x at x = 0…

A: We can find the instantaneous rate of change as below

Q: General solution of (ylny − e¯xy)dx + (² + xlny) dy = 0

A: Let's solve given diffrential equation.

Q: 3 3. √√26.91

A:

Q: Acceleration due to gravity in feet per squared second is the constant function a(t) = -32. Suppose…

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Q: hat are the cylindrical coordinates of the point whose spherical coordinates are

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Q: X₁ = X1 X2 = (1, 4) & (3, 8) У1 = m= m= Final answer: Trend: Y2 = ||

A:

Q: Q4) Find the maximum eigen value for the system 4 = x¹ (0) = (1 1) 3 12 54 with initial vector

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Q: Suppose that f(x) = 2x²ln(x), x > 0. (A) List all the critical values of f(x). Note: If there are no…

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Q: Given y=√√3x-2 0.09 dy= A (a) (b) (c) where x changes from x=2 to x=2.03. If the differential…

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Q: Use a triple integral to find the volume of the solid bounded by the parabolic cylinder y = 62² and…

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Q: Find the transition points. y = 3x² - 42x6 (Use symbolic notation and fractions where needed. Give…

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Q: Solve for the general solution of (ylny-e^-(xy))dx+(1/y+xlny)dy=0

A:

Q: Find the critical point(s) of the function f(x) = x³ + x−³+2.

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Q: Find all the possible x-values of f(x)=√x - 2

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Q: Q1/ From the following table of values, find the approximate value of f'(1.5): X 1.2 1.7 1.5 0.4055…

A: Given:- To find: f'(1.5)

Q: (D² + 4D + 4)y=0 when x = 0, y = 1 and y = -1

A:

Q: Find the critical points c for the function f and apply the Second Derivative Test (if possible) to…

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Q: A spherical tank of diameter 6 m is full of water. Find the work done in pumping all the content to…

A: Follow the procedure given below.

Q: 5s + 4 83 2t5t³ Option 4 None of the Choices 2t + 5t³ Option 3 Option 1 5t + 2t³ 5t - 2t³ Option 2

A:

Q: dy dt t •S 0 +5 ydt + 2y = 10

A:

Q: 2xydx +(1+x²) dy

A: 2xydx+x2+1dy=0

Q: Find the Particular Solution: y(x-6y)dx-x(2x-9y)dy = 0; when x=1, y=1 a. y²(y+3x) = 3x² * b.…

A:

Q: The average rate of change of f(x) = sin(x) with respect to x as a changes from 0.5 to 1 is O 1 0 2…

A:

Q: Consider the matrices shown below: A Find the value of K such that det (BT) 64 - 1 с 3K and AT is…

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Q: S 10dz 4z³-4z² + 5z

A:

Q: ff xy dx dy

A:

Q: 1. The diagram shows a regular hexagon. Write a single vector that is equivalent to each vector…

A: Triangle law

Q: If u = x² tan equal to (a) (c) x - y x + y - 2 + V² 2 X X -, y x + y x - y x² + y² 2 X - y - y² tan…

A:

Q: Evaluate the triple integral zdV, where E is bounded by the cylinder y² + 2² = 4 and the planes z =…

A: Given problem:- Evaluate the ∫∫∫E z dV, where E is bounded by the cylinder y2+z2=4 and the planes z…

Q: 7. Use a change of variables to evaluate X 1 ² ₂ 2 ²4+ 8 da. -dx. +8

A:

Q: 51 1. A parabola with directrix y = == 32 and one endpoint of the latus rectum at nat (-²,-2)

A:

Q: Suppose f'(x) = 12√/1+4x where f(0) = 5. 1) Find the general antiderivative, f (x). 2) Use the…

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Q: Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f near…

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Q: If the currency-deposit ratio is 14% and the reserve ratio is 15%, what is the size of the money…

A: Money multiplier

Q: 1. Describe the transformations of the graph of y=√x to obtain the graphs of the following…

A: see below the answer

Q: x-1 x-1+√√2x-x²-1 Evaluate lim

A: Please refer to the image below

Q: Given f(x) = x" ; n=1,2,3,....... Determine f(n)(x). (a) fm) (x)=n(n-1)(n-2)....∞ (b) sol…

A: We know, d/dx(xn)= nxn-1 for any real number n.

Q: [4pts] Consider a point in Cartesian coordinates given by (3√/3, -3, -8). a.) Find a corresponding…

A:

Q: 2 3s +9 Option 4 Option 2 Option 3 -3t e co 2 3 23 e 3 -St None of the choices 3 -3t 2 Option 1 e

A: Given :L-123s+9

Q: Evaluate the following integrals: 4x 6. ₁² x 3x²y²dy dx

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: The contact force therefore can be expressed as a a 27 F 2xÊ / ºr (d-1²) dr = -1°2xr 2xr Ozz dr n 2R…

A: We know that integration of xn is xn+1/n+1.     Here i attached the solution of this question.

Q: (a) Find the general solution of the differential equation d²y dx² +9y = x² + x + 1.

A:

Q: Find the volume of the solid of revolution generated when the area described is rotated about the…

A: We have to find the volume of the solid of revolution generated when the area described is rotated…

Q: A. Find the general equation of the conic with the given properties. 1. A parabola with directrix…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 2. (5 pts.) If f(x) = xºex, find f'(x) and f'(1).

A: