Find the average rate of change of the function over the given interval. f(t) = 2t² - 5, [3, 3.1] 12.2 Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval. left endpoint right endpoint

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Given,           ℒ-11s2+1s2+25

Q: x²+xy 20. If f(x, y) = x-y -, (x, y) = (0,0) 0, (x, y) = (0,0) Then the value of fx (0,0) is a) 0 b)…

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Q: 1 2.5" y 3" 6 -Х

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Q: 2. Find the equation of the tangent to the functions g(x) = (x −4)² at its y-int. You must use an…

A: Solution:

Q: Find a unit vector u in the direction opposite of v = (2,8,-3).

A: Solution ) v =  { 2 , 8 , -3 }   vector with same magnitude and opposite direction   = { -2 , -8 , 3…

Q: The half-life of Radon-222 is 3.8 days. A 34-gram sample of Radon-222 is monitored for one day. How…

A: Please see the below picture for detailed solution.

Q: curl(9z i+ 10x j + 4y k). (9z i+ 10x j+ 4y k) = ( i Textbook and Modia )i + (i )j + (i

A: To find out the curl of the given vector.

Q: Given AB www. BA= and [2 1 2 2], find AB and BA. Hint: Matrices need to be entered as [(elements of…

A: The answer is given below:

Q: 7 My Drive Computers Shared with me Recent Starred Trash Storage Buy storage 1 Screenshot (16…

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Q: 811. Given a geometric figure, one can ask for its centroid, which is - roughly speaking - the…

A: Given:  A unit semi circle.  We need to find the y co-ordinate of the centroid of the unit…

Q: 1. Choose a solution to the differential equation y" - y = x²e² + 5.

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Q: Solve the given Bernoulli equation by using this substitution. O O O y = ± y = ± y = ± y = ± y = ±…

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Q: Lucas is walking on a circular path modeled by the equation (x+6)² + (y-2)² = 36, and Neal is…

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Q: xydx + (x^2+y2)dy = 0 Prove that it is a Homogenous DE using homegeneity test (degree n)and solve…

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Q: Consider the function f(x) Find the value of A: A = - 6x² + 6x 5. f(x) has a critical point at x =…

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Q: the answer is wrong

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Q: 1. Calculate the following unknown quantities. (a) P= (kx 1000), r= 1.2%, t= Find S.

A: As per the rules we can answer only first question and rest can be reposted.

Q: A certain drug is being administered intravenously to a hospital patient. mg Fluid containing 5 of…

A: Part(A): Apply the law of conservation of mass, which states that matter is neither created nor…

Q: Solve the DE: 2 dy 3 dx 3x² + y² xy

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Q: 4 Find the arc length of the curve the interval 2≤+ ≤ 5 3 given parametrically by x= 3 + ² y = + ²,²…

A: To find out the arc length of the curve.

Q: company

A: Please refer to the image below

Q: Find the divergence of the vector field of F(x,y,z) = sinxi + cosy j + z² k. cos x + sin y + 2z O…

A: Option C is correct. To finde divergence I used divergence formula.

Q: Use the definition of Taylor series to find the Taylor series, centered at c, for the function. f(x)…

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Q: What is the gradient of f(x, y) = x² - y4 at the point (5,2)? O 5i + 16j O -15i-16j O -6i + 13j O…

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Q: 16.s) How long it will take for $39,440 to double if it is invested at 6.1% compound- quarterly?…

A: Topic = Algebra As per guidelines , At a  time only one question can be answered.

Q: Consider the points P(1,0,3) and Q(5, 2, -1), and the line 1: { x = -7 - 2t y=t z = 9+t

A: part :a

Q: Find the value of() for a solution (x) to the initial value problem: y"" − 3y" + 4y' – 2y = 0; y(0)…

A: In this question, we want to solve the third order homogeneous differential equation.

Q: Which of the following is the graph of (x+3)² + (y+4)² =257 -10-74444 -10-0744 T a . - → 7 "

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Q: Consider the following initial-value problem. y' - y = 2 cos(7t), y(0) = 0 Find L{f(t)} for f(t) = 2…

A: Given the initial-value problem is y' - y = 2 cos7t,  y0 = 0

Q: a) z=-3x y² + sen(x²y) 2x c) z=-In (x y³) e) z = x²ln(2x³y) b) w=2xz-3e²xy d) z=2e²y sen(x) f) z=…

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Q: For an arithmetic sequence, 017 = 47. If the common difference is 5, find: a1 = the sum of the first…

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Q: A trader buy's 80 mangoes. she finds that 8 are bad and a further 22 are unripe ,show on a pie chart…

A: Given data:- Total number of mangoes = 80 Bad mangoes = 8 Unripe mangoes = 22

Q: 3. Find the Taylor polynomial of degree 3 centered at x = 4 for the function defined by f(x)=√x.…

A: To find out the Taylor polynomial of degree 3 for the given function and also find out the value of…

Q: Sketch a graph of the polar equation. 3 2+3 cos 0

A: The given polar curve r=32cosθ

Q: given 8x+5w+xw+2x2+0.3w2, find the optimum point

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Q: r = 17 sin 2t i - 17 cos 2t j

A: Given equation r= 17 sin 2t i- 17 cos 2t  j

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Our Aim is to find the inverse Laplace Transform of the following function given…

Q: A 4-pound weight stretches a spring 2 feet. The weight is released from rest 15 inches above the…

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Q: Can you present the solution in a different format. I do not understand what the solution is…

A: Let's solve given diffrential integration.

Q: Consider the following function and point. x + 4 (5,9) X-4 (a) Find the derivative of the function.…

A: The given function is fx=x+4x-4, 5,9

Q: Question Find the linear approximation L(x) of the function f(x) (Enter an exact answer.) Provide…

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Q: II. Consider the function f(x, y) defined for all (x, y) by ƒ(x, y) = 232/32 + 2xy + 4x²y (a) Find…

A: Here we have to find the critical points.

Q: Find the critical numbers of the function f(x) = -x55x¹ +5x³ answers to three decimal places. X = X…

A: Given,            fx=-x5-5x4+5x3-9To find : Find the critical numbers of the function

Q: ટા ભpl7+KZ+x) iળ પશ8 છas buwગારા વા મૂળ પગપા

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Q: Let f(x) = |x-1 (a) Make tables of the values of f at values of x that approach x = -1 from above…

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Q: A deposit of $9,000 is made in an account that earns 5% interest compounded quarterly. The balance…

A: The given data is: The balance in the account after n quarters is: An=90001.0125n

Q: Use the Alternating Series Remainder Theorem to determine the smallest number of terms required to…

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Q: ******* +70+ -10 -8 -6 -4 -2 ✔ +10+ y H 6 8 10 Q Write the standard equation for the hyperbola…

A: Given,

Q: Use the definition of Taylor series to find the first four nonzero terms of the Taylor series,…

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Q: Given the function below f(x) = -324x³ + 1053 Find the equation of the tangent line to the graph of…

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