Determine the quadrant in which x lies if tan x < 0 and cos x >0. Οιν || 1 ||| x lies on an axis

Q: Let y = √r and y = 2³, draw the region bounded by the curves. Then, use the washer method to find…

A: In this question we have to find the volume of the region bounded by curves using washer method.

Q: /2 (e) [™¹², sin(x) cos(x)dx

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Q: Find the cosine of the angle between the vectors a = 2i +3j - 4k and b = 5i-1j+ 1k. (You should…

A: Find the cosine of angle between two vectors

Q: 5x+7x-2 x² + 2 Identify the horizontal asymptotes (if any). If the graph of the function has a…

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Q: Find the general solution of the differential equation. y(5) — 11y(4) + 29y"″ − 11y" + 28y' = 0.…

A: Let's solve given diffrential equation.

Q: 1. a) Use appropriate math terminology, from the unit, to describe the transformations that would…

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Q: 15) dy dx 1-x Find given that y = x²

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Q: 1.2.2 Quiz True or false? (a) Every vector space contains a zero vector. (b) A vector space may have…

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Q: 5) Evaluate the given expression without the aid of a calculator tan[arcsin( +1 x+ 6 --)]

A: We have to evaluate the given expression without the aid of a calculator.

Q: The graph of y=f(x) is given. Solve the inequalities. Write the solution set in interval notation if…

A: To solve the given inequalities for the function f(x).

Q: 8. Find the local maximum and minimum values and saddle points of the function f(x,y)=2x + 4y +3x²…

A: This is a problem related to maxima and minima. Please follow the procedure given below.

Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ....)…

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Q: The graph of y=f(x) is given. Solve the inequalities. Write the solution set in interval notation if…

A: To answer the given questions using the given graph. Note that, the range of the function is:…

Q: List the terms of the sequence below from n = 1 to n = 5

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = P(4, 5), v =…

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Q: Find the following derivatives. Express your answer in terms of the independent variables  ws and…

A: To find out ws, wt

Q: Professor Calderon wants to build a rectangular fence along a pond so his dogs can go for a swim; he…

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Q: function X-1 if X<1 f(x)= 0 if 1≤X24 X-2 if X34 20 a. Graph the given b. define values where, it is…

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Q: Determine whether the set of vectors in P2 is linearly independent or linearly dependent. S=(2-x,…

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Q: Find the exact length of the curve. x = 1 + 12t², y = 1 + 8t³, 0≤t≤4

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Q: 18. Use a Taylor series to approximate ·√√² e- -2x² dx. Retain as many terms as needed to ensure the…

A: We have to solve ∫02e-2x2dx   by  using Taylor series            since,  we know that…

Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select…

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Q: Evaluate

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Q: [ see³(z) tan³(x)dx

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Q: Transform the given polar equation r = sectan to rectangular coordinate.

A: This question is related to coordinate systems, we will solve it using given information.

Q: For what value of c is the function f(x) = = C= C 7 2-4 (x+2)(x-3) x==2 x = 1 otherwise continuous…

A: Given :fx=c,      x=-27,        x=1x2-4x+2x-3   otherwise

Q: Find the x-coordinate of the centroid of the area bounded by y (x² − 9) = 1, y = 0, x = 7, and x = 9…

A: Given: yx2-9=1

Q: Find the accumulated present value of an investment over a 8 year period if there is a continuous…

A: We have to find the accumulated present value of an investment.

Q: 3 7) Evaluate: f(-x² + 4x − 1)dx 1

A: Given, ∫13(-x2+4x-1)dx

Q: t + t 걸

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Q: Evaluate the integral: r+∞ 1 dv v²+2v-3

A: We will find the integral.

Q: 11) Find the first derivative of y = (lnx) 4

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Q: 1 10. Sketch the graph of g(x)= - - cos7x, using the amplitude and the period. 7

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Q: Find the solution of the given initial value problem: y (4) + 2y"+y = 3t + 4; y(0) = y'(0) = 0,…

A: Given differential equation,y4 + 2y'' + y = 3t +4

Q: xp (I + ²)² [ (1) 9x)x I

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Q: A plane begins its takeoff at 2:00 p.m. on a 2170-mile flight. After 5.1 hours, the plane arrives at…

A: We need to fill in the blanks.

Q: Solve the right triangle with hypotenuse 28 and one of the acute ngles 42°.

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Q: Find the general solution of the differential equation. · 11y(4) + 29y"”" — 11y″ + 28y' = 0. NOTE:…

A: A detailed solution is given below

Q: Graph the function. Plot at least 4 points. For vertical asymptotes, make sure there are at least…

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Q: Suppose you need to know an equation of the tangent plane to a surface S at the point P(3, 1, 3).…

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Q: • ["* [*, [° 42²y — 2²³ dz dy dz J1 1. Evaluate

A: NOTE: As per our guidelines, I have solved the first problem. If you want the answers of rest,…

Q: Graph O when X5

A: The given function is: g(x)=0 if  x&lt;0x2-5x if 0≤x≤55 if x&gt;5

Q: 3 1 21 0 0 25110 3 7 2 2 -2 6 13 5 -4 10 10 30-4 01-10 2 0001-2 0 0 0 0 0 (a) Find the rank and…

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Q: A linear model of the spread of an epidemic in a community of 1000 people is the equation: dx/dt =…

A: To find the number of people x(t) who have contracted the disease at the time oftime t.

Q: lim x →3 2+e* sin(7x)+x+1

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Q: The Cartesian coordinates of a point are given. (a) (-2, 2)

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Q: Medium. Answer any two questions. 1. Find all three critical points for the function: f(x, y) = x²y…

A: The given equation is;  f(x,y)=x2y-xy+3y2

Q: 8. Which of the series converge, and which diverge?: n+1 (2) Σ S 3 (c) 1 1 + ln²n (Inn)² n³ (d) n 1…

A: Disclaimer: Since you have posted multiple sub parts of question , we will solve first three sub…

Q: Explain why S is not a basis for R². S = {(-6, 2)} OS is linearly dependent. S does not span R². OS…

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Q: If f(x)=√x+7 and h(x) = 6 -, find f(x) + h(x). X

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