lim x-2 x²+2x-8 x-2

Q: Find Laplace Transform for 1-f(t) = 2t³; 2-f(t)=3e-²¹. 4-f(t)=2 cos(3t). 3– f(t)=sinh(2t); 5-cosh…

A: We have to solve given Questions.

Q: 5. y² = У X x-1

A: Solution is here

Q: B sin 5x+ sin 3x 1 sin 5x+-sin 3x+c 6 I 10 fcos 4x cos.x dx = ?

A: Given :∫cosxcos4xdx

Q: 2. The value of the integral in terms of u is? 2u³-21n|u³+1| + C 2u³-3u² +6u-6ln|u + 1| + C 6u+…

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

Q: Where is f(a) not continuous? JAROMEN M 0 :-2 SE 4 O 0 02 O nowhere O-2 and 2 O-2 0 2

A: here in graph we see that function is not contineous at 2 and -2 value there is not contineous graph…

Q: Solutikn is not clear, can it be handwritten please. Thank you.

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Q: Function: f(x) = 6 - 12x + 2x3 Find: Critical points, maximum, minimum

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Q: (Inverse Trigo, Higher Order Derivati Directions: Find the derivative of the following fu 1. f(x) =…

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Q: The value of the integral in terms of u is? (a). 2u³ + 6u + Arctanu + C (c). 2u³-21n|u³+1| + C dx…

A: To evaluate: ∫dxx3+x Let I = ∫dxx3+x Assuming x=u6⇒dx = 6u5du

Q: The region is bounded by y = x³, y = 2x + 4 and y = −1. Then Area region = [ f(x) dx + √ f(x) dx +…

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Q: D. Graph each of the given functions and solve for the area of the region that they enclose. 1. f(x)…

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Q: The rates of change in population for two cities are P'(t) = 42 for Alphaville and Q'(t) = 105 0.04…

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Q: What is the graph of r cos 0 + r sin 0 = 1? Oline with slope m-1 and intercept b=0 Oline with slope…

A: We know that x = rcos(theta) and y = rsin(theta)

Q: Which of the following statements are FALSE about the method of variation parameters? I. II. If y₁ =…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: The value of x for which the series A. 2<x<3 or 3<x<4. B. x <2 or 4<x. C. None of the choices in…

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Q: Give the domain and range. Then, use the graph to find (a) f(-2), (b) f(0), (c) f (9) 1 (2) Ay Q 40…

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Q: Assume that the situation can be expressed as a linear cost function. Find the cost function. Fixed…

A: fix cost $200 20 item cost $400 here per item cost = 400/20 = $20 cost function  C(x) = 200 + 20x…

Q: Find 2 numbers whose sum is 23 and whose product is a maximum.

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Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = 2 ex cos (yz),…

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Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. Then Arearegion = [*^f(x) dx + [²8(x) x +…

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Q: 8. y = log x-1 x+1

A: Let's find second derivative of given function.

Q: b)show that: I(cosh at cos at) = 5²440*

A: This is a problem related to laplase transform. Here we will use convolution theorem for evaluating…

Q: The domain and the range of z=cos-¹(x²-y-3). are represented respectively by O A. ¨D={(x,y) = RxR :…

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Q: 3. An architect is asked to design a game room in the shape of an isosceles trapezoid, where the non…

A: I am attaching image so that you understand each and every step.

Q: -3x² 2(T T + 10 25)

A: Follow the procedure given below.

Q: The height and radius, respectively, of a cylindrical tank is 5 m and 2 m. If the tank is full of…

A: Given

Q: 2 2) x² + y² - 16x + 18y + 96 = U 0 4) x² + y² + 28x + 28y +376 = 0 2 6) x² + y² - 16x-20y+128 = 0 0…

A: Solution is here

Q: Find the least and greatest distances from the origin to a point on the ellipse x²+4y²=16.

A: Topic:- geometry

Q: Let L(z) be the linearization of f(x) = sinz+1 at the point z=. Find L(π/2). 0-1 O pi/2-1 O pi/2 + 1…

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Q: II. INDETERMINATE FORMS COS X X 5. lim x →∞0

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Q: If the function u = 2e^u e^2u 1/2 Other: In (2² +2²¹²) then ro + you is 4

A: First we calculate partial derivative.

Q: Evaluate x² √x² + 25 -2 S dx

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Q: 9 Calculate the expression. Show the solutions. Use the calculator for checking only. 【(XY)¹ - Z)¹…

A: Topic:- matrix algebra

Q: A B B + A Bx + + I A Т Identify the form of the partial fraction decomposition of the rational…

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Q: Consider the solid formed by the boundaries outside the elliptic paraboloid x² + y² = z and inside…

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Q: QA-evaluate the flux of the filed F-xi+yj+zk through the upper part of the cylinder x² + z² = 1 that…

A: Given

Q: 2x f²f²² (x² + 2y³) dy dx. Write the iterated integral in the previous item using the order dx dy.

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Q: Draw a graph to match the description given. f(x) is increasing over (-∞o,-5) and decreasing over…

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Q: Suppose that the payment services company PayBuddy makes R (t) = 900t² + 300 dollars per second when…

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Q: B-Find the center of mass of the region bounded above by the half circle y = √ Na²-x² and below by…

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Q: A biodiversity organization releases 1200 tilapia into a lake. After a year, there are 2000 tilapia…

A: Let's find growth logistics model.

Q: 3) x² + y² + 16x+10y+80= 0

A: Given

Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. Then Arearegion = S [² f(x) dx + √° 9( g(x)…

A: Given the region is bounded by y = x3 , y = 2x+4 and y = -1. Intersection of y = x3 and y = 2x+4 is…

Q: May 23, 8:36:52 AM A particle moves along the x-axis so that its velocity at time 0 < t < 18 is…

A: The coordinates are in form (t, v(t) )  The three inflection points are (8, -2), (10, 0) and (12, 2)…

Q: 9. f(x) = (2x5-2x+2)/(x²-3)5

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Q: The region is bounded by y = x³, y = 2x + 4 and y = −1. The y - coordinate of the centroid of the…

A: Let's compute value of given a+b+c+d-4f(2)/g(2).

Q: Given the 2nd order linear differential equations, y"-7y'+y=6. What type of case applies if solved…

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Q: Question 19 : The area of a healing wound is given by A=πr2. The radius is decreasing at the rate of…

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Q: Answer and give the complete solution. A 6-ft tall man is walking away from a 15-ft post at a rate…

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Q: Part III: Approximation and Differentials. (no using of calculator present all manual computations).…

A: To estimate the value of (217)(1/3) by approximation and differentials.