Use a graphing utility to graph the function and find the absolute extrema of the function on the given interval. (If an answer does not exist, enter DNE.) - (2, 5) minimum (x, y)= maximum (x, y) =

Q: Evaluate the following and post your answers in t (Activity 2.1) 1.Sdz 2. Sa dx 3. S(7y6 + 8y3 –…

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Q: The owners of a restaurant are interested in analyzing the productivity of their staff. The function…

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Q: dx = x +C 3. 45x dx = -5x +C 4. 12V dx =-x+2x' +C 4x + 35x 4. 4 +8x dx = -5xi +C 4 28x 15x dx = 4x+-…

A: The integration of the integral  35x3/4/4 +8x-3.

Q: Question 6 Evaluate: VA 4 – a² A None of the above 2 sin () – av4 – a² + C f (x) 4 sin- (E) - æv4 –…

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Q: Find the derivative. 8) y = (x + 1)2(x2 + 1)-3 dy dx dy = -2(x + 1)(x2 + 1)-4(2x2 + 3x – 1) A) B) Y…

A: We can find the correct answer as below.

Q: YA Y= 5X-x² 2. (4,4) Y= x Find the Alea Of the shaded hegion

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Q: dy Vỹ+5 - =2/y- 5ln|/y+ 5| +c A True B) False

A: follow next step

Q: 5xy = 4x²z – 3yz²; yx and y,. %3D -

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Q: solution

A: We have to choose the correct option from the given options according to the given information

Q: Use the Comparison Test or Limit Comparison Test to determine whether the following series…

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Q: Find dy dx 1-Ln(»+さ)=かげとxッ) tュx 2- Y= (1+x)

A: As per bartleby guidelines we only give first question answers.

Q: 5. S csc* dx *csc4 x²

A: Given problem:-

Q: Reduction of order can be used with y = 3x to find a second solution for the DE: xy" + 2xy' + 2y =…

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Q: * Example: Find a harmonic Conjugate fer U= = X_ x+y2

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Q: Find the values of a and b for the curve x'y+ay =b if the point (1,1) is on its graph and the…

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Q: 17) Water is falling on a surface, wetting a circular area that is expanding at a rate of 5 mm²/s.…

A: Explanation of the answer is as follows

Q: If f(x,y) = x3y + exy^2, find the derivatives of df/dx and d2f/dxdy.

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Q: Evaluate the function. If the value is not a rational number, round your answer to three decimal…

A: We have to evaluate the function.

Q: x2 Fusing trigonometric substitution, Jf(x)dx is transformed into n solving for the antiderivative…

A: Given problem:-

Q: A rectangular garden is to be constructed using a rock wall as one side of the g and wire fencing…

A: We are asked to find dimensions of the rectangle.

Q: Sketch the region of integration and change the order of integration for the integral 9. / | (x, y)…

A: First we sketch the region of integration then change the order of integration.

Q: O Yes, Rolle's Theorem can be applied. O No, becausef is not continuous on the closed interval (a,…

A: Given query is to find rolle's theorem can be applied or not.

Q: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) *+ 2y = 3 ,y (0) =…

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Q: dy +Hanx Siny = I Cos y die

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Q: Determine if the equation is separable. If so, solve the initial value problem. " e'y'(t) = t (In…

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Q: If f(x) = (2x) , find the derivative of the function Or) = f'(x) = 3(x)0.5 f'(x) = -(x)0.5 f'(x) =…

A: 1)f(x)=(2x) -0.5 2)f(x)=(1+sinx)/(x+cosx).

Q: dz 2ydy In if we let y=z + 4, then the new integral becomes Vz+4 -2 у-2

A: Follow the procedure given below.

Q: Determine whether the following series converges. Justify your answer. 00 3k° +k Σ 2k° - 2 k = 1

A: To determine whether the given series is convergent .

Q: Ql Find se dx |

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Q: Find the inte gral. Box Final Answer. For the definite integral, give the excact answer only dx

A: Answer is in below steps.

Q: Let f(x) be the function 1 Then the quotient x + 8 f(5+ h) - f(5) -1 can be simplified to h for: ah…

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Q: y" – 1/x = 0; y = x In x – 5x + 7 -

A: This question can be solved using the concept of first and second order derivatives.

Q: The antiderivative of [Vx²-25 dx is x2 – 25 – sec-lx+ C. A True B) False

A: ∫x2-25xdx

Q: Solve the following Initial Value Problem: y"+ 16y 0, 2 and y'()= 5. %3D

A: y''+16y=0Auxillary equation ism2+16=0m2=-16m=±4iGeneral solution isy=C1cos4x+C2sin4x

Q: Question 8 In |x³Vx2 – 625 dx , if we let x = 25sece , then dx = 25secede. True F False

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Q: In each of the problems, solve the given differential equation. 1. y` = 1 + x + y2 + xy2 2. y` =…

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Q: dz In Vz+4 - 2 2ydy , if we let y=Vz+4, then the new integral becomes у-2 A True B False

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Q: x = 2y X=y-8 -12 12 -8-

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Q: Plot the set 1,0, on the number line. Round to the nearest tenth where applicable. Answer How to…

A: We can plot the points on the number line as below

Q: Calculate v x w: v = (3,8, 8), w = (1,1,4) V X w =

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Q: f(-1,–5)= f(-5,–1)= f(0, 0)= f(5, –5)= f(t, 2t)= f(uu, и — v)-

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Q: The integral 4 dy dx is equal to: Select one: 12 6. None of them

A: To determine the value of the integral ∫03∫014 dy dx.

Q: Find:  ∫cosh^4 (x) sinh^5 (x) dx.

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Q: An astronaut drops a hammer from rest a vertical distance of 2.0 meters above the surface of the…

A: Initial velocity of the hammer, u = 0 m/s Vertical distance above the surface of the moon from which…

Q: Evaluate the integral. 28) 335 B)- 215 A) 325 D) 36

A: Given:      ∫05  3x2 + x +6 dx

Q: (a) Consider the following. -5 5 5 -5 Identify the surface graphed. O cylinder O paraboloid O cone…

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Q: Which of the points below correctly plots the point (-5, )? 12 3 4 56

A: We can answer the question as below.

Q: Q3 Find dy tan (X?y) tanx 2 y-(1+x)

A: A detailed solution is given below

Q: S- dy - = 2/y- 5in|Vy+ 5| +C Vy +5 А) True B) False

A: ∫dyy+5Let y+5 =xdifferentiating on both sides12ydy=dx=∫2y dxx=2∫x-5xdx=2∫(1-5x) dx

Q: Find the most general antiderivative. 20) [7x3 - 4x + 5)dx

A: