Provide your answer below: Domain in interval notation is Range in interval notation is

Q: 1) In the triangle that determined by the points P.Q and R, find a unite vector perpendicular to…

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Q: Find the open intervals where the function graphed below is (a) increasing, or (b) decreasing. Ay…

A: Consider the graph

Q: 1 If f(x) has an inverse function f-¹(x), could either the graph of for the graph of f-¹ be…

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Q: 3) Find equations for the lines: The line through the point D/2 g. The line through (0,-7,0)…

A: Equation of line in 3D

Q: Solve the given initial value problem. x³y² - y³ = 45 ³y² + xy³ = 18 x²y² + xy³ = 90 x¹ y² + y² =…

A: Here we have to solve the differential equation.

Q: Do not use calculators. Approximated decimals are not accepted. k=3 Let j=8 Evaluate and Simplify…

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Q: Evaluate cos¹3xdx. a. 0.245 b. 0.267 O b O d c. 0.229 27 d. 0.196 e. none of the choices

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Q: Let S = { 1 - (-1)" | n € N}. Determine inf S and sup S. Justify. n

A: We have to find the infimum  and  supremum  of the given function.

Q: Find the directions of maximum and minimum change of fat the given point, and the values of the…

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Q: The population of a small country by year is shown in the table below. Year 1955 1960 Population…

A: If population of a city x in 1950 and y in 1960 then absolute change of population=(y-x)  As per our…

Q: Within y = 4x², x = 0, y = 16; about y axis

A: We know that the curve x=f(y) ,the Y axis and the line y=a and y=b is revolved about the Y axis…

Q: For the function below, find (a) the critical numbers; (b) the open intervals where the function is…

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Q: We have that 10 177 g (17x + 7) dx O a) 4 O b) O c) 17 Od) -4 24 17 g (t) dt = 4 I so what's the…

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Q: Find the integrating factor by inspection then solve.  x(x2 - y2 - x)dx - y(x2 - y2)dy = 0

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Q: In Problems 1-5, let R be the region bounded by y = x² + 3, y = 2x, x = 0, and x = 4. Each problem…

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Q: 4) Find equations for the planes: b. The plane through (1.–1,3) parallel to the plane 3x+y+z=7

A: Given problem:- Find equations for the planes:   b. The plane through (1.-1,3) parallel to the plane…

Q: Use the graph to identify absolute maximum and absolute minimum values for the function on the given…

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Q: The doubling period of a bacterial population is 10 minutes. At time t = 80 minutes, the bacterial…

A: Given: The doubling period of a bacterial population is 10 minutes. At time t =80 minutes, the…

Q: . Evaluate cos 3x sin² 3x dx

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Q: Given functions m(x) = √√x + 14 and h(x) = x - 3, state the domains of the following functions using…

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Q: INSTRUCTIONS: (1) Answer all questions neatly with a blue or black ball point pen/ink pen. (2) Use…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find t for the following terminal points, 0 ≤ t < 2π (a) P(0, 1), = √2 2 (b) P ( - 1/², 1/²³). 1 = t…

A: Let's find t for the given  terminal points.

Q: b. ] ] 6x²-2x-1 3 4x -X d -dx

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Q: Simplify to an expression involving a single trigonometric function with no fractions. cos(-x)+…

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Q: The graph of f (the derivative) is pictured below. Determine each of the following. (If infinite,…

A: As per our guidelines, I can answer maximum three sub parts of a question. Since there are four sub…

Q: Transform the given differential equation into an equivalent system of first-order differential…

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Q: Let S = { 1 − (−¹)ª | n € N}. Determine inf S and sup S. Justify. (-1)" n

A: Let us define set S  by giving values to n so that     S={2,0,2/3,0,2/5,...}. Hence S={1+(1/n) if n…

Q: d. The plane through P,(2,4,5) perpendicular to the line x=5+t y=1+3t .

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Q: Consider a spring with constant k= 200 N/m, If the spring is compressed 4 cm, so the integral that…

A: work done in spring    W = ∫kxdx here  k = 200  upper limit in cm  2 and lower limit 4  so in meter…

Q: Use the table of integrals to evaluate the integral. 6² 3saxav 53x³√4x² - x4 dx

A: To evaluate the integral.

Q: 1. Find when y = In (-²). dx Express your answer in a single fraction.

A: The given function,     y=lnx5-2x

Q: 6x² - 2x - 1 4x³ X jo dx

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Q: Transform the given differential equation into an equivalent system of first-order differential…

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Q: Use the table of integrals to evaluate the integral. 2 [²³15x³√4x² 15x³ 4x²x4 dx

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Q: Sketch a graph of a function f that satisfies all of the given conditions. lim f(x) = -co, lim f(x)…

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Q: 2. Show that the function. 5x²³²Bin 12 F(x)= โ x2 0 (x=0) is not of bounded variation on [1,1].…

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Q: Suppose that the polynomial function fis defined as follows. f(x)=(x-13)²(x-8)³(x+4)³ List each zero…

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Q: x² +5 x<2 Given the function f(x) = { -5x + 1 x ≥ 2 (i) Determine the values of the following: (a)…

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Q: -4 M -2 2 4 6 (i) Identify the critical numbers of f. (Enter your answers as a comma-separated…

A: Given problem:-

Q: 7- cos y dx + (x siny-cosy)dy = 0 8- (1+ y²)dx + (2xy + y² + 1)dy=0

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Q: Factor the trinomial. 6q²-25qt+14t² Select the correct choice below and, if necessary, fill in the…

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Q: X | J = -dx x+1 Consider the following propositions according to the integral shown: 1- When…

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Q: Evaluate x³ + €

A: On solving this we will get

Q: In this exercise, we estimate the rate at which the total personal income is rising in a town in…

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Q: A dart is thrown at a number line in such a way that it always lands in the interval [0,10]. Let x…

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Q: an integral corresponding to the area of the region bounded by the curves of the functions f and g…

A: f(x) =x2 -4x  g(x) = -x2 here area function = f(x) - g(x) = x2 -4x  -(-x2 ) = 2x2 - 4x

Q: Evaluate the given integral by changing to polar coordinates. Sk (4x - y) dA, where R is the region…

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Q: a) Using the methods of equations. 2x+2y + 4z = 18 x+3y+2z=13 3x+y+3z=14 (b) Gauss-Jordan, solve the…

A: Given :2x+2y+4z=18x+3y+2z=133x+y+3z=14

Q: Find the average value over the given interval. f(x)=x²+x-7; [0,14] The average value of f(x) = x² +…

A: We have to determine the average value

Q: 3- (2x+y)dx + (x-2y)dy=0

A: If the differential equation is of the form Mdx+Ndy=0 which is exact thenSolution of the…