Find the gradient of the function at the given point. w = 6x2y-9yz+z2, (1, 1, -2) O 18i+ 33j+ 13k 6i+ 121. 121

Q: Find the unit tangent vector T(t). T(5) = +20 k P(25, 5, 20/3) eBook r(t) = t²i + tj + Find a set of…

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Q: Find the derivative by the limit process. f(x) = 14-x²

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Q: # The graph above represents f'(x). Which of the following graphs represents f(x)? A.

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

A: We need to find y2

Q: A conservation organization releases 15 Florida panthers into a game preserve. After 2 years, there…

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Q: A deposit of $100 is made at the beginning of each month into an account at an annual interest rate…

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Q: 3. Let R be the region between the functions y 2² and y = 8 - 2². Set up the iterated double…

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

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Q: whether the series is convergent or divergent. 33-50 Determine If it is convergent, find its sum. 1…

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Q: 1. When the fixed cost of producing x units of steel is C(0) = $5500 and its marginal cost is C'(x)…

A: As per the rules we can answer only the first question.

Q: 2 2 [²³x² x² dx. 0

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Q: Consider a two variable function z = x³ + 2xy + y² + 4y. Z= Find partial derivatives zy, ży Find all…

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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: How long will it take for the population to reach 65286528 fish, according to this model?

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

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Q: Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine…

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Q: Question 5 Solve the following for f(x)=x² - 2x + 1 at point (-2,-1) (i) ii) Find the slope of the…

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Q: (16x² − 16 x + 4)D²y = 4x² − 4x + 4

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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: Find dx dt dx dt at x = = 2 if y= 2x² - 1 and dy dt - 3.

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Q: 12. Find the antiderivative of the following expression: sin (x)[ 6sec (x) - 12cse' (x)] A. 6sec (x)…

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Q: Find the volume of the solid of revolution formed when the region under the curve y = x over the…

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Q: let r be the region enclosed inside y=x2 and y=3x-2 a.sketch the region R. b.Compute the area of the…

A: Given the region R is enclosed inside  y = x2 and y = 3x-2. Interaction between both graphs  x2 =…

Q: Use the above formula to find the distance from the point to the given line. (5, 3, -3); x = 1 + t,…

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Q: Find the following for the given equation. r(t) = (e-t, 7t², 9 tan(t)) (a) r(t) = (b) r"(t) = (c)…

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Q: Evaluate 2 ²4x² 0 Answer: 4x³ - 2x + cos(x) dx. Note: If the answer is not an integer, round your…

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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,…

A: To find: L{f(t)} by the use of Laplace transform. Given information: The function is  ft=0…

Q: For the triangle below, find the indicated trigonometric ratio exactly. csc 0 2 29 5 2

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Q: 44. y' - 2y = 0

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Q: Find the unit tangent vector T(t). r(t) = t²i + tj + 20 T(5) = (10, 1) ✓101 eBook k. P(25, 5, 20/3)…

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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: 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: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

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Q: Question Find the value(s) of k that makes the given function continuous. f(x) = { √kæ if 0 < x < 3…

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Q: Find the 9 9th roots of 12-13i

A: 12-13i = re-iθr=122+132=313θ=tan-11312=-47.28

Q: Link has to travel to Hyrule castle. Link is currently in the Gerudo desert. The desert sand…

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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: In a solar system, two comets pass near the sun, which is located at the origin. Comet E is modeled…

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

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Q: Problem 2: (Exe. 18 p. 124) Use the definition of continuity and the properties of limits to show…

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Q: Q1. Find The derivative of the following functions a) G(2) = ² -dt c² +3 tan b). H(x) = [1² (² + 1…

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

A: To find inverse Laplace Transform:

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: Fill in the blank. (Enter your answer in terms of t.) {} ( s7 - 6s + 13.

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Q: (a) If f(y) = (y² + 8)³ Y 3 find f'(y).

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Q: Consider the following function and point. f(x) = =X+4, (5,9) (a) Find the derivative of the…

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Q: Find the average rate of change of the function over the given interval. f(t) = 6t² - 5, [1, 1.1]…

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Q: An inverted pyramid is being filled with water at a constant rate of 60 cubic centimeters per…

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Q: (b) Use the total differential dz to approximate Az. dz = X

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Q: Find the area of the parallelogram with vertices  P(3, 3, 3), Q(5, 5, 4), R(10, 9, 13), and S(8, 7,…

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