Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your answer as a function of t.) 1 S4-36. L {

Q: Determine whether the Mean Value theorem can be applied to fon the closed interval [a, b]. (Select…

A: Please see the below picture for detailed solution.

Q: Find div F if F(x, y, z) = (x² + y)i + z²j + (eY - z) k.

A: Our Aim is to find the value of div F if F(x,y,z)=x2+y i +z2 j+ey-zk -(i)Let  F(x,y,z)=x2+y i +z2…

Q: 48. Find AB in CO A. 10/2 B. 20√2 C. 10 D. 20 20

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Q: Find both first partial derivatives. h(x, y) = e(x¹0 + 10 hx(x, y) = h₂(x, y) =

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Q: Evaluate the limit ALGEBRAICALLY (by simplifying), NOT just by graphing: lim h→0 (6 + h)² - 36 h

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Q: 36-2 dzdx dy Rewrite the integral using the order dzdydx. (6x +36-1- 076 36-y 18 18 10 ² dzdydx dzdy…

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Q: A power plant generates electricity over a twenty-four hour period. The number of megawatts, M, of…

A: Given  A power plant generates electricity over a twenty- four hour period the number of megawatts…

Q: ) Consider y² 4 What value(s) of K, if any, will make this graph a parabola? 7- Kxy - y = 9x² +

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: Basic partial differentiation and integration is used

Q: Find the volume of the solid generated by revolving the region enclosed by x = √5y², x = 0, y = -2,…

A: To find the volume of the solid generated by revolving the region enclosed by x=5 y2, x=0, y=-2, and…

Q: Solve the initial value problem y" — y' — 12y = 0, y(0) = a, y′(0) = 15. - Find a so that the…

A: We need to solve the initial value problem and also need to find out the value of a.

Q: a) Find each derivative. If it does not exist, write DNE. i. \/'(0) b) /'(3) Find lim sin (2x) tan…

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Q: 77% 77%

A: Given: F(x,y) = 6i-2j

Q: ² x (√x + √x) dx

A: We know that integration power rule is  Integration of xn is xn+1/n+1 + C. Here C is integration

Q: V -6 -5 -4 -3 -2 7 Submit Question 8+ gut 7 916104324 -6- -1 -2 -3- 4 --$ 166 46- U 1 2 4 5 Find an…

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Q: Question 3 Answer the following True or False: If d & will work for the formal definition of the…

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Q: An infinite series [x_n converges if the sequence (S_n) of partial sums given by S_n=x_1+x_2+...+x_n…

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Q: The formula for the volume of a cone is given below. Find the rate of change of the volume for each…

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Q: F(x,y)= 4xy-x^3-2y^2 C. Find the relative minimum and maximum values of F SHOW ALL WORK!!! thank…

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Q: Find the exact value of each of the remaining trigonometric functions of 0. 2 5 sin - and tan 00 cos…

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Q: handwritten

A: Please refer to the image below

Q: Question 8 Find f'(a) for f(a) O f'(x) O f'(x) O f'(x) = O f'(x) O f'(x) cos - 1 cos? an cos - cos 2…

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

Q: Find div F and curl F if F(x, y, z) = 7evi-4 cos yj+ 10 sin² z k. div F= curl F

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Q: The function s(t) describes the motion of a particle along a line. s(t) = 14t-t² (a) Find the…

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Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to…

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Q: F(x,y)=4xy-x^3-2y^2 A. Find Fx and Fy SHOW ALL WORK B. Find all second order partial derivatives of…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: O O 01 lek 0 Question 20 f(x) ²-1 on (0,] is given. Find the Riemann Sum with 3 subintervals using…

A: The given function is: fx=x2-1 on 0,32 Find the Rieman sum with 3 subintervals using the right…

Q: Use the function f and the given real number a to find (f ¹)'(a). (Hint: See Example 5. If an answer…

A: Given problem:- Use the function f and the given real number a to find (f-1)'(a).  f(x) = x3 -5, a =…

Q: dyx+2y 2x+y dx

A: We have to find the general solution of differential equation

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A: Given that the position of point on unit circle is -223,-13 making an angle We need to find the…

Q: #2. Determine the equation for piecewise function f(x) given its graph below. -9-8-7-6-5-4-3 f(x) 5…

A: Given data:-

Q: Evaluate the line integral C: y² = 27x from (27, 27) to (0,0). NOTE: Enter the exact answer. 6-₂…

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Q: f(x) =  4x x − 2 where h ≠ 0 f(a + h) − f(a) h  =????

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Q: Find the value (2) for a solution (2) to the initial value problem: y(lnx In y 1)dx + xdy=0; y(1) =…

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Q: equa 5 itions all approach y = 4 = 5 5 4 a - Y as t →∞. dt

A: Topic:- application of integration

Q: 6).  For the sequence, determine if the divergence test applies and either state that lim n→∞ an…

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Q: Differentiate from first principle y = 5x²³² +22² +32 +4

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Q: 1 1 0.104 = x Use linear approximation, i.e. the tangent line, to approximate as follows: Let f(x) =…

A: Solution : Given that

Q: A tank contains 400 liters of brine. Twelve (12) liters of brine, each containing 2.50 N of…

A: Given: 400 litres of brine are kept in a tank. The tank receives 12 litres of brine each minute,…

Q: Use linear approximation, i.e. the tangent line, to approximate 1.3 as follows: Let f(x)=√x. The…

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Q: 5. Matiu is a talented furniture maker and has decided to build a bike frame out of wood. He likes…

A: Given: the two triangle connected to each other as shown in the question.

Q: The area of the finite region enclosed by the curves y = 3x² and y = 21 x is given by the definite H…

A: We will use definite integration to find the area

Q: Question 8 of 25 > Find the derivative of the function f. 3 √x f(x) = O At

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: Given z=x^3+xy^2,  x=uv^3+w^2,   y=u+ve^w then find: ∂z/∂u when u=−1, v=−2, w=0u=-1, v=-2, w=0

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Q: Solve: x"(t) + 2x'(t) + x(t) = 3t e-t x(0) = 4, x'(0) = 2 Evaluate: F(2) = Evaluate: f(1) =…

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Q: Use Theorem 7.1.1 to find {f(t)}. (Write your answer as a function of s.) f(t) = (t + 1)³ L{f(t)} =

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Q: Consider the following function. f(x)=√x-4, x> 4 What is the domain of f? (Enter your answer using…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim_(ti + sin(t)j +…

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Q: = √x³ + 2x³-3x d (x²+1)³ dx

A: Topic:- application of integration