(5n Explain why the statement "if cos , then -1 COS is true or false.

Q: Evaluate the triple integral. 3xy dV, where E is bounded by the parabolic cylinders y = x² and x =…

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Q: A particle is moving along graph paper in a magnetic field. The intensity of the field at the point…

A: The intensity of field will show steepest descent in the direction opposite to the gradient…

Q: 16. The value of y' for y = x³ + 2x² – 4 at point (-2, –4) is, I. -4 П. 4 III. 6 IV. 8 | II O IV

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Q: on 2 Determine the radius of convergence, R, of the following power series. Remember the radius of…

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Q: rotating light is located 18 feet from a wall. The light completes one rotation every 5 seconds.…

A: Obtain relationship between distance along wall and perpendicular distance of source from wall and…

Q: From a ship, the angle of elevation of a point A at the top of a cliff is 210. After the ship has…

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Q: 0.8 0.6 0.4 0.2 (c) -0.3 -0.2 -0.1 0.1 0.2 0.3 0.3 0.2 0.1 0.2 0.4 0.8 10 -0.1 -0.2 (d) -0.3 x = 0.5…

A: 1.  x=0.5-0.5ty=1-t2 Answer is (b) 2. x=t3-0.7ty=1-t2answer is graph (c)

Q: 1. Y = eee*

A: 1.Solution :y=eeexdydx=eeexddxeexdydx=eeexeexddxex

Q: Use the definition of a normal subroup to prove Proposition 2.3.7: IfGis an Abelian group, then…

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Q: Determine whether the integral is convergent or divergent. dx e2X + 3 convergent O divergent If it…

A: We have to find the given integral is convergent or divergent.

Q: pq21

A: We will find the rate of change of distance between the plane and radar.

Q: etermine from the graph whether f has a minimum in the open interval (a, b). (a)

A: answer of given question is in step 2

Q: 21 dy d-y Consider the curve x = y'. Use implicit differentiation to verify that and then find %3D…

A: answer of given question is in step 2

Q: Find taylor Series using Substidetion

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Q: Use the Ratio Test to determine the radius of convergence of x" Σ Vn - 9" n=1 Then determine whether…

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Q: Let F(x) = f(x") and G(x) = (f(x))". You also know that a° = 15, f(a) = 3, f'(a) = 12, f'(a") = 13…

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Q: -2 -1 0 3 6 |

A: We have to find out the limit

Q: Find the points on the surface y? = 36 + xz that are closest to the origin. smaller y-value (х, у,…

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Q: Find the interval of convergence of the series. (3x)" * Σ n2. 10" n=1

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Q: 1) Find the exact value of each trigonometric expressions. (sin (-) b) cse (sin- (-)) a) cos-1

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Q: Project 8. Estimating Time of Death.  The purpose of this project is to practice reading a…

A: Note :- This is multiple sub parts question and according to our company guideline we can do maximum…

Q: Determine the value of the arbitrary constant of the antriderivative of F(x) = x-In(x) given the…

A: Solution of question is written in below steps.

Q: Application 3-Given that a=log, 3 and b=log ,6, find log, 24 in terms of a and b ommus icotion

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Q: Consider the following. u = -6i – 2j – 4k, v = 2j + 2k (a) Find the projection of u onto v. (b) Find…

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Q: Use a graphing utility to graph the function on the closed interval [a, b]. x) - Ixl - 3, (-7, 71 -2…

A: topic - Rolle's theorem

Q: A police car is located 70 feet to the side of a straight road. A red car is driving along the road…

A:

Q: Given a vector with the initial point, (3,1) and the terminal point, (-4,2), find unit vector form.…

A: Given query is to find indicated vector.

Q: Estimate √4.1 using linear approximation.

A: This question is based on the linear approximation of a function.

Q: (c) If 0 < k < n, prove the formula n(n - 1) -- (п - k+ 1) k k! (d) A class contains 10 students, 6…

A: The difference between permutation and combination is that A permutation is a method of arranging…

Q: sets or parametric equations and symmetric equations of the line that passes through the given point…

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Q: Estimate the limit numerically or state that sec (x) lim x→1+ vx³–1 (Enter DNE if the limit doesn't…

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Q: Find the distance between the point and the plane. (Round your answer to three decimal places.) (5,…

A: The objective of the question is determine the distance between given point and plane.

Q: Let y tan(5x + 8). Find the differential dy when I = 5 and dr 0.1 Find the differential dy when I 5…

A: y=tan(5x+8)Differentiate on both sidesdy=sec2(5x+8)×5×dxSubstitute x=5  , dx=0.1…

Q: Given f - and 6 = - 4, 5 > , find 5ƒ + 66. 5f + 66 - <

A: Make a component wise addition and multiplication.

Q: Blowing Soap Bubbles Carlos is blowing air into a spherical soap bubble at the rate of 7 cm³/sec.…

A: V=(4/3)πr3 now differentiate it with time dV/dt = 4πr2dr/dt 7 = 4(22/7)*9*9(dr/dt) dr/dt =…

Q: P(x) = - x° + 9x + 165x - 400, x2 5. Find the number of hundred thousands of pillows that must be…

A: Given query is to find the maximum profit and the time when it occurs.

Q: Choose the vector has a magnitude of 6 and a direction of 0 = 150°. ㅇ(-38.3) ㅇ-3.345) O (3-33) O…

A: We have to find the vector that has a magnitude of 6 and a direction of θ=150°.

Q: Consider the following function: f(x) = (x − 3)(x + 1)2. (a) Can Rolle’s theorem be applied to f on…

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Q: A (4, 270°) (ounter= 909 120° 60° 150° 3.0° 180 0° 210° 330° 240° 300° 270°

A: We have to find the other  three coordinates.

Q: f (x) 4 2. (2, 2). -6 -4 -2 2 6. -2 -4 -61 4.

A: Given query is to find indicated limit.

Q: 5. Differentiate a function where you have "y" and "x" on both sides of the equation and they cannot…

A: The given equation is 2y=3xy2+x2 ......................................... (1)  Differentiate with…

Q: Find the derivative of the function. y = cos( V sin(tan(3x)) y' =

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Q: Q8. The general solution of the differential equation dy x-1 %3D -2 is dx y+2' Y #

A: Given query is to find the solution of the differential equation.

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: It is found that 0.5% of radium disappears in 12 years, a.) What percent will disappear in 100…

A: We have to find the half life of the radium

Q: (a) f(x) = x² – 2x , [0, 5] (b) f(x) = x³ – }z² , [–1, 2]

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Q: 51 tan 12

A: Follow the procedure given below.

Q: Given the differential equation, confirm that the function y(t) is a solution to that equation: 1.…

A: We have to find if the given y(t) is solution to the differential equation or not.   According to…

Q: (a) Given a surjective function f : [-1,1] → [-1,1], prove or disprove: f-'(f {0}) = {0} (b) Find…

A: (a) Note that the given function fx is surjective function where domain and range both have the same…

Q: Find an equation of y =

A: Given query is to find the equation of the tangent.