Find the inverse Laplace transform L¯¹{F(s)} of the function 2 F(s) = s² + 5s 6 NOTE: The answer should be a function of t. L-¹{F(s)} =

Q: Use logarithmic differentiation to find the derivative of th y = (In(x)) cos(2x) y'(x) = ||

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Q: The radius of a increasing at a At what rate is the circles. circle is rate of -2 m/s. circumference…

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Q: The Total Revenue is increasing when the demand is inelastic and the price is increased slightly.…

A: Given data÷ The Total Revenue is increasing when the demand is inelastic and the price is increased…

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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

Q: to Use logarithmic differentiation And the derivative, (ar ²-1) 5 -f(x)=√√√²+3x-1

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Q: #21

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Q: (d) Show 1. Given the following table of values, find the indicated rivatives in parts (a) and (b).…

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Q: 4. Find the area bounded between the two curves y = 5x² - 2x and y = x³ - 5x+3. (You may use Desmos…

A: To find the area bounded between the two curves y=5x2-2x, and, y=x3-5x+3.

Q: Find the system of equations to model the problem. DO NOT SOLVE THIS SYSTEM. There were 35,000…

A: Given query is to find the system of equations.

Q: Find the derivative of the function. -0 f'(x) = f(x) = (2x - 5) 4(x² + x + 1)5 x

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Q: X Consider the function f(x) = x2x+9 The absolute maximum of f(x) (on the given interval) occurs at…

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Q: Use the matrices below to perform the indicated operation if possible. If the operation is…

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Q: Use a system of linear equations with two variables and two equations to solve. 180 students…

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Q: Let f(x) = 4ln(x). Then f'(x) is and f'(7) is f''(x) is and f''(7) is

A: Given query is to find indicated derivative.

Q: Use the matrices below to perform matrix multiplication. B = 27 3] 14 -10 0 12 || |- 4 -3 5 10 6 8

A: Number of  column in B =3 = Number of Row  in   C  so, matrix multiplication is possible

Q: - 1 x216

A: To evaluate the following integral.∫x2-1x2-16 dx

Q: 1. Determine if the following series converge or diverge. Make sure you state which test you use to…

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Q: 2 * = 8

A: Given query is to find the value of x.

Q: PROBLEM - Standard form x+5x11 =y Vertex form Axis of symmetry Opening (upward or downward) Type of…

A: Vertex form of the prabola : y =ax-h2+k ; where (h,k) is the vertex of the parabola .

Q: Find the value of c so that the equation lim x-1 O c=4 O c=1 Oc=-2 Oc=-3 sin(x2-2x+c) x+1 == 4 holds…

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Q: f(t) 1 10 2 55 Given this limited data, what is the best estimate for f'(2)? 3 80

A: Given:  t 1 2 3 f(t) 10 55 80 To estimate: f’(2)

Q: The graph of a function is shown below. Over what interval(s) of x is the function decreasing? V

A: Given query is is to find the interval where function is decreasing.

Q: Suppose a product's revenue function is given by R(q) = - 8q² + 900q, where R(q) is in dollars and q…

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Q: 6 For the function f(x,y) = x e 5xy, find fx, fy, fx(1,5), and f,(-1,-1). 'X'

A: Given the function is  fx,y = x6 e5xy.

Q: | r - 1 dr

A: To evaluate the given integral.

Q: Graph the following in polar coordinates (a)  3<r<5,    2π/3≤θ≤4π/3  (b)   r=−8sin⁡θ , Label at…

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Q: Find the two unit vectors orthonga/ to a= <3₁-1₁ 2) and b= (-3₁-2₁47 Enter your answer so that the…

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Q: Find the Linearization L(x) of the function at a. b) f(x)=e^x+1 , a=0.

A: To find the Linearization Lx of the following function at 'a'.fx=ex+1, a=0

Q: Use differentials to approximate √3.99

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Q: A baseball team plays in a stadium that holds 50000 spectators. With the ticket price at $9 the…

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Q: 1. The distance travelled by a model train over a bridge is described using the formula: t² 8 d(t) =…

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Q: Determine the area of the region bounded by two the curves f(x) = 2²-26z+72 and g(x)= 13z +36.

A: To find the area of the region bounded by the two curves.

Q: 62. lim (e² +10x)¹/

A: L'Hopital's Rule is used here because of infinite/infinite term is present.

Q: 3 Find y" if y=4x° +3x³ −8x³ +6x² +15

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Q: Use implicit differentiation to find y² + 4x³ = 8y - 5x² dy dz z(5+6x) y-4 da X

A: Topic = Derivative

Q: dz/dt is incorrect

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Q: 7. Use the chain rule to solve each problem: θω (a) Find for w= x² + y² + z², where x = st, y მs s =…

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Q: Consider the following infinite series. Complete parts (a) through (c). 80 2 Σ k=1 3K-1 a. Find the…

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Q: 16. cosh (x + y) = cosh x cosh y + sinh x sinh y

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Q: ● Look over Example 4 carefully. Then find the antiderivative fe* cos xdx. Use the back of the sheet…

A: Please see the below picture for detailed solution.

Q: Find the absolute maximum and absolute minimum of the function f(x) = 3 cos² (x) over the interval…

A: Find the absolute maximum and absolute minimum of the function f (x) = 3 cos^2 (x)

Q: 2x +3 x:²-9 da

A: To evaluate the given integral.

Q: Find the equation of the line tangent to the curve -2x² - y5 + 3x + 6y = 6 at the point (1, 1).…

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Q: 3. Determine, with justification, whether the integral x² 9+x6 is convergent or divergent. If it is…

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Q: The weekly demand for Xbox Math-Hero video games is given by where x is the number of Xbox video…

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

Q: The area of the region bounded by the two curves y = ² and y = 16 is Square Units I

A: according to rules, i need to solve the first question when multiple are posted so, please repost…

Q: The graph of f(x) = 4(x - 1)² - 4 is a parabola that opens upward ✔value of f. Need Help? Read It ✓…

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Q: Find the linear approximation at x = 0 to show that the following commonly used approximations are…

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Q: - ind the absolute extrema of the function y -x, y). bsolute minimum: bsolute maximum: 3x3 2x on…

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Q: Also

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