Find two values of 0, 0so<2n, that satisfy the following equation. cos = 2 (Simplify your answer. Type an exact answer, using x as needed. Use integers or fractions for any numbers in the expression. needed.)

Q: 1. Find the area bounded by the parabola y?=4ax, the x-axis, and the lines x=4a, x=9a. 2. Find the…

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Q: Find V. (V × F) if F(x, y, z) = 7 sin xi + 2 cos(2x – 3y)j+ 6zk. V·(V × F)

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Q: 4. Use partial fraction decomposition to evaluate dx x' + 4x +3 2

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Q: For the function f(x) = 2x² – 4x, evaluate and simplify. || f(x + h) – f(x) | h

A: Given query is to find the value of expression.

Q: For the function f (x) = xe¬*: a) Determine the coordinates of the critical point. Use exact values.…

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Q: Find V (F × G), if F(x, y, z) = 11xi+j+3yk and G(x, y, z) = xi + yj – zk. V. (F x G) = %3D

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Q: Use cylindrical coordinates to calculate SS lw f(x, y, z) dV for the given function and region: f(x,…

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A: We have to find the value of x such that the distance form home is farthest.

Q: The differential equation (xy2 + y)dy = (x + 1)dx is separable. Select one: O True OFalse

A: We have to find

Q: si 2V ædx = 104/3 Select one: O True O False

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Q: Suppose f(x, y, z) = x2 + y + z? and W is the solid cylinder with height 7 and base radius 3 that is…

A: Given that f(x,y,z) = x2+y2+z2 and W is the solid cylinder with height 7 and base radius 3 that is…

Q: Problem:

A: answer is in next step

Q: Find curl (8z i + 9x j+ 10y k). curl(8z i + 9x j + 10y k) = ( i )i +(i j + ( %3D i )k

A: solution is given below

Q: Describe the graph of the equation. r = (5 – 21) i + 7tj O Itis a line in 2-space through the point…

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Q: S" cos de 4. 2 dx .2 -1 1+x² 5.

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Q: The point P(p, 1), where p > 0, lies on the curve x² + 2xy³ – 3y* = 0. a) Calculate the value of p.…

A: Since point , P(p,1) lies on the given curve, therefore this point will satisfy the curve .Using…

Q: The decay of a certain substance is modelled by the function N(t) = 100 (3+ e), where the number of…

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Q: Write an equation for the ellipse that has vertices (+7,0) and co-vertices (0, +6). Provide your…

A: Vertices : (7,0) and (-7,0)Co-Vertices: (0,6) and (0,-6)Vertices are of the form : (h±a , k)h+a=7 ,…

Q: csc?y dy is equal to A -у соty — coty dy B) None у сoty — coty dy D у сoty + coty dy

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Q: The most conveneient way to evaluate ²–4 by substitution is to let x2-4 =y A True B) False

A: Yes the statement is True, the substitution is the most convenient way to compute the integral

Q: Find the cost function for the given marginal cost and fixed cost. Marginal Cost Fixed Cost (x = 0)…

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Q: Suppose that in the inventory problem, the storage cost depends on the maximum inventory size,…

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Q: 5. A ladder of length 4v3 metres is resting on a wall. The wall makes a 60-degree angle with the…

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Q: Find the volume of the solid that is bounded by the surfaces z = 152 - x2 - y?, z = 0, x = 0, y = 0…

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Q: Find the speed of the curve F(t) = (4cos (t), 4 sin(t), 6t) at t = 3 %3| Speed =

A: Consider the curve  r(t)=&lt;4cost2,4sint2,6t&gt;

Q: The widths (in meters) of a kidney-shaped swimming pool were measured at 3-meter intervals as…

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Q: dt, if we let V Vt+1-2, then dt is equal to A (4x³+2)dx B None © 2(x²+2)dx D 4x³dx E 4x(x²+2)dx

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Q: Refer to the graph below. Find the producer surplus for the supply function, S, when x=20. Hint:…

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Q: /hat trigonometric substitution should be used to evaluate A x=3 tane B None C x=3 sece D x=3sin0 E)…

A: Solution:

Q: Express the derivative in "subscript" notation. NOTE: Your answer should take the form fo.

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Q: The general solution of the differential equation dy/dx = 12x is y = 4x° + C. %3D Select one: O True…

A: topic- differential equation

Q: 5. A ladder of length 4v3 metres is resting on a wall. The wall makes a 60-degree angle with the…

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Q: Find the volume of the solid bounded by the plane z = 10 - 5x - 8y and the coordinate planes in the…

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Q: Determine an equation of the tangent line to the curve y = (3x)(sinx) at x =

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Q: Find the arc length L of the graph of r(t). r(t) = 5 cos(t)i + 5 sin(t)j + tk, 0<t< 2n L %D

A: This question can be solved using the concept of arc length.

Q: The figure to the right shows four regions bounded by the graph of y = x sin x: R1, R2, R3, and R4,…

A: To find the value of the  given integral .

Q: Find the equation of the function f whose graph passes through the point ( 0, and whose derivative…

A: Given :

Q: Use limits to find f'(x) if f(x) = 3x. f'(x) =| (Simplify your answer.)

A: Consider the function  f(x)=3x

Q: a) fr'(2+x*)'dx bf sin(nx) dx )fx* In xdx

A: According to guidelines  we must answer only three of multipart questions. Please resubmit the…

Q: Determine the following limits, using oo or - o when appropriate, or state that they do not exist.…

A: The solution is given below

Q: Evaluate the double integral. 7x?sin ydA; Ris the region that is bounded by y = x³, y = -x', and y =…

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Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. 1. dx

A: see below the answer and calculation with steps

Q: Consider the following functions. 3 f(x) = Vx - - 3 3 g(x) = x – 3 Sketch the region bounded by the…

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Q: For bER, b>0, b÷1, which of the following is not a property of the exponential function f(x) =b*? A.…

A: We  have to find out about exponential function

Q: dx 2. x²V4-x?

A: Just use the trigonometrical substitution to make integral easy and then solved it.

Q: Describe the graph of the equation. r = (8 - 31) i - 14 j O It is a plane in 2-space that goes…

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Q: Find the area of the

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Q: A restaurant has an annual demand for 884 bottles of California wine. It costs $3 to store 1 bottle…

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Q: Ise the function f and the given real number a to find (f-)'(a). (Hint: See Example 5. If an answer…

A: We have to find out the derivative