The equation of the line with point (3, -6,8) and parallel to the vector (-1,2,3).

Q: Find r(t). u(t). r(t) = (5t - 8)i + 18. u(t)= t²i8j + t³k r(t) .u(t) = + 4k Is the result a…

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Q: 1. Using the general form of a circle, find the equation of the circle that passes through the…

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Q: 5. Evaluate f ²√3.r³ + 1dx JO

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Q: 1. [D³ – 6D² + 11 D - 6) y = cos x sin x

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Q: Find the area of the region bounded by the curves y = x² and y = -x² + 4x. 9/4 11/3 12/15 8/3 none…

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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: 4. lim -0 A. -2/2 B. 1 C. 2 h D. Does not exist sin

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Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then…

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Q: Find the first partial derivatives with respect to x, y, and z. f(x, y, z) = 2x²y - 9xyz + 6yz²…

A: The objective of the question is determine the partial derivative.

Q: Given the demand function q = 398-3p, calculate the elasticity of demand when p = 79. OA. 2.7 OB.…

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Q: . Find the partial fraction decomposition for: 8x²-11x+14 x3-x²-4

A: The objective of the question is determine the partial fraction.

Q: (True/False) Let F= Pi+Qj on an open region D. Suppose Py = Q₂. Then F is conservative.

A: Let F→=Pi→+Qj→

Q: 5. (True/False) If f(x, y, z) = 1, then ffy f(x, y, z)dV gives the volume of V.

A: Since you have posted multiple questions, As per the policy, I can answer the only  first question…

Q: The demand function for a certain product is given by D(p) = O A. D'(p) = OB. D'(p) = 2,055 +198p…

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Q: Evaluate the definite integral. Use a graphing utility to verify your result. 6² × Step 1 x sin 2x…

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Q: If f(x) = 2x² - 6x + 6, find f'(2). Use this to find the linear approximation to f(x) at x = The…

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Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

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Q: f(2)-f(-1) 2-(-1) Let f(x)= |x|. Is there a value c in [1,2] such that f'(c)=- If yes, find such c.…

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Q: The weight (in kilograms) of a certain species of animal can be predicted by W(t) = 508.2…

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Q: I Eliminate the parameter in the parametric equations x=6+ sint, y=3+2 sint, for Osts, and describe…

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Q: Evaluate the integral (6x-y)dx + (x+6y)dy along the path C, defined as y = 16-x² from (0, 4) (4, 0).…

A: Answer: The solution is given below:

Q: Find L{f(t)}. (Write your answer as a function of s.) f(t) (8, 10, L{f(t)} = = 0 4 (s > 0)

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Q: mine the value of c for which a given ass function. Determine the value of c such that the function…

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Q: Section 14.7: Problem 8 Previous Problem Problem List Next Problem ( The discriminant fxx fyy-fry is…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

A: I have stated the used formulas in the solution

Q: Section 14.7: Problem 7 Previous Problem Problem List Next Problem has its largest value. a = Find…

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Q: A 4-pound weight stretches a spring 2 feet. The weight is released from rest 15 inches above the…

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Q: box the final answer

A: This question is related to error in area of triangle, we will solve it using given information.

Q: 39. You put $7,500 into a bank account that has a very high continuously compounded interest rate of…

A: Solution ) Direct formula for continuous compounding  A = Pe(rt/100) 42000 = 7500 e( 18t/100)…

Q: Need

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Q: Evaluate 3 [³ X x² - 1 dx. Note: If the answer is not an integer, round your answer to three decimal…

A: Given, ∫23xx2-1dx

Q: Find the area contained between the two curves y = 3x - 2² and y=x+x².

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Q: the particular solution to y' = 2sin(x) given the general solution is y = C-2cos(x) and the initial…

A: Topic:- application of integration

Q: The cross section of a precast concrete beam for a building is bounded by the graphs of the…

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Q: 18. The graphs of f'(x) and f"(x) are shown below. Which of the following statements best describes…

A: Generally wave functions are either sine functions or cosine function. Also sin(0°)=0 and cos(0°)=1.

Q: Differentiate implicitly to find dy dx x²-10xy + y²-4x+y-4 = 0

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Q: 4. Mauritius island is 2 km due south of its closest point along a straight coastline. Gibril is…

A: Given data:-

Q: etermine whether the given set of functions is linearly dependent or linearly independent on the…

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Q: Use the definition of the Laplace transform to find L{f(t)}. (Enter your answer in terms of s.) 0,…

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Q: A series RLC circuit has a hypothetical current that is described by the expression, 1(t) = 6e-¹ sin…

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Q: A farmer plans to enclose a rectangular pasture adjacent to a river (see figure). The pasture must…

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Q: x-3 dx x+4 5. The differential equation dy 1. produces a slope field with horizontal tangents at x =…

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Q: Find r(t) given the following. r'(t) = 18t5j+20t¹k, r(0)=2i+18j O r(t)=2i+(18+ 3t6)j + 4t³k O r(t) =…

A: Given,

Q: Find the general solution of the given second-order differential equation. y" - y' - 12y = 0 y(x) =

A: Given differential equationy''-y'-12y=0

Q: Given f(x,y,z)=√(−6x+5y+2z), find fx(x,y,z) = fy(x,y,z) = fz(x,y,z)=

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Q: 5. Use elementary Maclaurin series to find Maclaurin series for the following functions. a) 2²=-=-11…

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Q: nass function. a give Determine the value of c such that the function is a probability mass…

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Q: By choosing the apprpriate points, solve the root of 3x3 - 4x2 - 3x - 2 = 0 using Secant Method.

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Q: For the sequence, determine if the divergence test applies and either state that lim n→∞ an does not…

A: Answer: The solution is as given below: