Find the exact value of the trigonometric expression given that sin(u) = -3, where 3π/2 < u < 2π, and cos(v) = 15, where 0

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Q: 1. Line L passes through point P(-2,5, 7) and having [4,-3, 2] as set of direction numbers. Find the…

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Q: given u = and v = , find the projection of u onto v (a) (b) (c) (d) (e) <28,10

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Q: State the coordinates of the intercepts, stationary points, and the inflection point of p(x) = 2x³ –…

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Q: Find the exact length of the curve described by the parametric equations. • x = 7+3t², y = 1 + 2t³,…

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Q: Evaluate : T SS y sin x dydx

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Q: Evaluate the definite integral. '7 l'e e-x dx

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Q: 17-22 Determine whether the series is convergent or divergent by expressing s, as a telescoping sum…

A: The objective of the question is determine the given series is convergent or divergent and find its…

Q: Use Green's Theorem to evaluate the integral (v-x) dx + (2x−y)dy for the path C. boundary of the…

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Q: II) Solve the following equations. 3) cot ¹(1-2)-tan-¹(x)= TT

A: Given data÷   cot-11-x-tan-1x=π4   Useful formula   cot-1x=π2-tan-1x So, cot-11-x=π2-tan-11-x

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Q: Use the given conditions to find the values of all six trigonometric functions. (If an answer is…

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Q: 21. Integrate x cos(2x² + 7)dx. sin (2x²+7) 4(x²+7) B. sin(2x²+7)+c A. +C C. D. 4 4 sin(2x² +7)+c…

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Q: We the first three terms of the binomial series to approximate f(x) = 1 at x = 1/2. Then find f(¹/₂)…

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Q: Solve the equation. Write the solution set WILH places. 1400 8400e 0.51 There is no solution, (). O…

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Q: The inverse forms of the results in Problem 49 in Exercises 7.1 are and s-a y(t) = (sa)² + b² b…

A: The given equation is; y'+y=e-5tcos4t, y(0)=0.

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Q: 7 A 4-pound weight stretches a spring 2 feet. The weight is released from rest 20 inches above the…

A: We need to solve differential equation.

Q: Sketch the space curve. Vector-Valued Function r(t) = (4 sin t, 7t, 4 cos t) __4_2 1.0 0.5 0.0 0.0…

A: Given data÷   rt=&lt;4sint,7t,4cost&gt;   For curve option A is correct one.

Q: 10. Given f(x) > 0 with f '(x) 0 for all x in the interval [0, 2] with f(0) = 1 and f(2)= 0.2, the…

A: Given f(0)=1f(2)=0.2given values are for the left, right, trapezoidal, and midpoint rule…

Q: Find the area of the surface given by r(u, v)=9ui-vj+vk, where 0≤u ≤2 and 0 ≤ y ≤4. O 45√2 O 38/2 O…

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Q: Consider the following function and closed interval. f(x)=x²/3-3, [-8, 8] Is f continuous on 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: The area of a healing wound is given by A = r². The radius is decreasing at the rate of 5 millimeter…

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Q: World consumption of a certain metal is running at the rate of 352e0.02t thousand metric tons per…

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: Given that : y= 6x4 + 8x3 . We find intercept and maxima and minima and point of inflection and find…

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Q: Find the differential dy of the given function. dy sec x x² +9

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Q: Find the area bounded by y = Round to four decimal places. 2 100 - 4x² x = 0, y = 0, x = 2.

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Q: g'(x) = g(x)=√x - Be*

A: Differenciate wrt x

Q: A store's sales on day x are given by the function S(x) below. Find the average sales during the…

A: We have to find the average value

Q: 20. Which of the following is not an antiderivative of the function f(0) = sine cose? 1 A. B. 2 sin…

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Q: Two cars are moving towards an intersection. One car is 190 meters north of the intersection and…

A: The first car is moving south at 18 m/s. The second car is moving west at 12ms. If the intersection…

Q: Find the partial derivative Əz Əx for the function z = 8y²√x.

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Q: List the elements of the given set. the sets (A n B) U C and An (BU C), where A = {1, 2, 3, 4}, B =…

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Q: Use the model A Pe' or A=. for years. If $11,000 is invested in an account earning 6.5% interest…

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

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Q: Part 2 of 6 (b) Use the function to approximate the Canadian population on January 1, 2030. Round to…

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Q: ** 2z2e²dy dx dz 0

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Q: Verify that Rolle's Theorem can be applied to the function f(x) = x³ such that f' (c) = 0. Enter the…

A: Given problem:- Verify that Rolle's Theorem can be applied to the function fx=x3 - 11x2 +38x - 40on…

Q: The number of books in a library increases at a rate according to the function B'(t) = 360 e the…

A: Solution of given question is written in below steps.

Q: Which one of the following p-series is divergent? S 1 n=1 n√2 n=1 n=1 Σ 1 nπ/3 1 nπ/4 1 ne/2

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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:

Q: Question Given f(x)=2₁, find f' (3) using the definition of a derivative. Provide your answer below:…

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Q: Use logarithmic differentation to find the derivative of the function. y=square root (x-3/x6+5)…

A: We can find the derivative of the given function by using the logarithmic differentiation. log (xa)…

Q: 12. The trigonometric identities applicable to evaluate [sin'0 cos³ e de 1. cos² 0 = (1+ cos20) I.…

A: Yhave have asked multiple questions and not mentioned which question answer you need so according to…