Answer true or false. If L{f(t)} = F(s) and L{g(t)} = G(s), then L-¹{F(s)G(s)} = f(t)g(t). O True O False

Q: Solve the ODE below: 1 -2t =e Y"" - Y{ - 2Y₁

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Q: Determine the value of each of the constants, A, B, C & D Cx+D x3 x²+1 x² +1 Option 1: Option 2:…

A: topic - division of polynomials

Q: 3. The production cost, in dollars, per week of producing x bottles is given by: C(x) =…

A: To find out the marginal cost, marginal revenue, and marginal profit.

Q: a) Find the derivative of each of the following functions. Write the derivative in proper form,…

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Q: .Vijay's Milk Farm's cost function is defined as: C(x) = 7800+81x +0.02x² Evaluate the company's: i.…

A: Topic:- Algebra

Q: 1.Find the derivative of the following functions. 2 a) F(x) = ²* 5 √t³ + 8dt et -dt et +3 b) G(x)=…

A: Topic:- application of integration

Q: If possible, find the number k so that f is continuous at every point. f(x) = 7. x≤9 X+ k, x>9 A. K=…

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Q: Let ³ 10n 4n + 1 Determine whether is convergent.

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Q: Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile…

A: Please refer to the image below

Q: A manufacturer can produce 2700 cell phones when a dollars is spent on labor and y dollars is spent…

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Q: Consider the function f(x) and its derivatives:

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Q: Determine the point(s) (if any) at which the graph of the function has a horizontal tangent line.…

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: Evaluate fx ln(x² + 1)dx. (Hint: Use Integration by parts) · (x² + 1)ln (x² + 1) − ½ x² + C Option…

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Q: [D3 – 6D2 + 11D − 6)y = cosx sinx

A: The objective is to solve the above differential equation.

Q: S'z xdx (1+x)*

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Q: Given that: f'(x) to the left of x=4 is negative f'(x) to the right of x=4 is positive S'(4)-0 What…

A: First Derivative Test: Let a be a critical point such that f'(a)=0. If f'x changes from positive to…

Q: Find the gradient of the function at the given point. Function Point f(x, y) = x² + 2xy (4,0) Vf(4,…

A: Given :Function : fx,y=x2+2xy

Q: -2x 2. (D² + D − 2)y = e−²x + 3e²x

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Q: Find critical values of the function. If they exist confirm all max/min or IP. Must show sign chart…

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Q: Find a vector function r(t) that represents the intersection of the surfaces: z = x² + y² z = y + 1

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Q: Evaluate 70 1.1 Answer: sin(x) dx. Note: If the answer is not an integer, round your answer to three…

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Q: If you are offered one slice from a round pizza (in other words, a sector of a circle) and the slice…

A: Given that perimeter of a slice is 24 inch.and we find diameter pizza will reward you with the…

Q: . (True/False) Let C be a closed curve. Then for a continuous function f, we have fof ds = 0.

A: As per our guidelines i am supposed to answer only one question please repost remaining question

Q: 12. [*[*(v³² + y) dady

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Q: Let f(x) = x³ - 3x². What is the absolute maximum of g(x) in the interval [-2, 4]? Answer:

A: To find out the absolute maximum.

Q: Let g(x) = x³ 3x². What is the absolute minimum of g(x) in the interval [-2, 4]? Answer: -

A: Given :gx=x3-3x2

Q: Using geometry only, find the area under the curve. Include a sketch of graph for each region. Give…

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Q: Q1. Find the derivative of the following functions. a) G(x) = ² et b). H(a) = √² -dt et + 3 plnx +²…

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Q: Find the definite integral of ³ Option 1: 4 Option 2: Option 3: Option 4: Option 1 Option 2 Option 3…

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Q: Q1. Find The derivative of the following functions C² a) G(z) = √2 +² +4 3 ill dt tan r

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Q: Integrate: J [ xe*dx

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Q: Consider the following. u = −8i – 2j – 4k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find…

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Q: O O Use the substitution formula to evaluate the integral. 1 6r dr 0√16+3r² OA. 19-4 √19 2 O B. -2…

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Q: Use the summation properties and rules to evaluate each series. n(n+1) Summation Rules: Σ=1 1 = n; Σ…

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Q: 35. Find the exact value of the expression. (3)] Select the correct choice and fill in any answer…

A: We can answer the question as below.

Q: Please explain how to differentiate f(x)=5x^2 * (3-2x^3)^6

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Q: <press the number as a ratio of integers. 0.28 = = 0.28282828 ...

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Evaluate the limit, using L'Hôpital's Rule if necessary. +3 9ex/5 lim x → 00

A: To find out the limit by L-hospital rule.

Q: A ball of radius 16 has a round hole of radius 5 drilled through its center. Find the volume of the…

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Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

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Q: valuate the integral using the Trigonometric Substitution metho x² (81-x²)3/²2 dx

A: Topic:- application of integration

Q: The function P(t)=21e0.01823t represents the population of Texas, in millions, t years after 2000.…

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Q: Find the exact value of the expression below sin (sin ¹(-)) O a) √3 2 b) √2 c) 0 ○ d) 1 e) undefined

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Q: Estimate the value of the sum of series, s = En 00 2n=0 (-1)" n! > to within an error of 0.0002.

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Q: 7. Compute the gradient of the following function f(x, y, z)= e-2z sin(2y) cos(2y);

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Q: (c) Find the volume of the solid whose base is the region in the [xz-plane that is bounded by the…

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Q: A farmer wants to fence an area of 13.5 million square feet in a rectangular field and then divide…

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Q: Two cars are moving towards an intersection. One car is 160 meters north of the intersection and…

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