sec² (8t) tan² (8t) dt 16 – tan² (8t)

Q: Find the intersection r(t) = (7, 7, 5)t + ( − 3, − 6, — 3). - 1 - x= Y || 2= - of the plane 4x − 8y…

A: Topic = Algebra

Q: ii) How many revolutions does the roller make in 7 minutes?

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Q: If V(x) represents the volume of water, in cubic inches, in a tank when the height of the water is x…

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Q: For parts (a) and (b) integrate the function: a) exp (3/x²) x3

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: decreasing by 24 billion barrels of oil each year, answer the following: Give a linear equation for…

A: We will find the required.

Q: Show that the triangle with vertices A(1, 2), B(-2, -1), and C(-4, 4) is isosceles. We must first…

A: Given: A(1, 2), B(−2, −1), and C(−4, 4)

Q: Determine the differential equation of the family of circles with center on the y-axis. A. (y") -xy"…

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Q: Select is a Function or is not a Function to correctly classify each relation. {(3, 2), (6, 4), (9,…

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Q: If an object moves along the y-axis (marked in feet) so that its position at time x (in seconds) is…

A: If an object moves along the y-axis (marked in feet) so that its position at time x (in seconds) is…

Q: (3x-y + 1) dx- (9x-3y-3) dy = 0

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Q: 4) 250° x

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Q: If a company has total costs C(x) = 30,000 + 25x + 0.2x² and total revenues given by R(x) = 585x -…

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Q: n Use the "summation formulas" to express the following sum in closed form. Your answer should be in…

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Q: The form of the partial fraction decomposition of a rational function is given below. (8x² + 15x…

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Q: Sketch the area represented by g(x). O O O O g(x)= Find g'(x) in two of the following ways. (a) by…

A: To sketch the area represented by gx.gx=∫1xt2 dtTo find g'x in two of the following ways.a by using…

Q: Find all points having an​ x-coordinate of 2 whose distance from the point (−2,−4) is 5

A: Let, (x1, y1) = (2, y)        (x2, y2) = (-2, -4)

Q: Given that 4 ≤ f(x) ≤ 6 for 2 ≤ x ≤ 5, estimate the value of [ f(x) dx D≤ ²} 1 2 f(x)dx:

A: Given that 4≤fx≤6 for 2≤x≤5. We have to estimate the value of ∫25fxdx.

Q: C. D. E. F. 8x² Dy² 8² f Əyði = fiz = 8² f Ordy - - fyy = = = || = fyz fay || =

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Q: lim [ln(1 + x²) − ln(1 + x)] - X

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Q: Consider the function f(x) = 6x + 3x¯¹. For this function there are four important intervals: ( − ∞,…

A: Consider the function fx=6x+3x-1. For this function there are four important intervals: (-∞, A], [A,…

Q: For the graph, which of the numbered points are inflection points? (Enter your answers as a…

A: NOTE: Refresh your page if you can't see any equations. . as we can see, the function is concave up…

Q: company with 20 workers can mass-produce surgical masks in 3 days. However, due to the pandemic,…

A: I have appended the formula used in the solution part of the question

Q: Use the Laws of Logarithms to expand the expression. In(x²√x-8) VX-8 5x + 9

A: properties of logarithms lna.b=lna+lnblnab=lna-lnblnxn=nlnx

Q: . A diver dives from the 3 m springboard. the diver's height above the water, in metres, at t…

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Q: rectangular equation: 7x-y+64=0 Find the domain of the rectangular equation of the plane curve.…

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Q: 54. Let f(x) = ={₁ (A) lim+f(x) (C) lim f(x) x--2 x + 3 √x+2 if x -2 (B)_lim_ƒ(x) (D) f(-2) Find

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Q: 1) If ƒ(x) = x³, then f'(x) 2) If g(x) 3) If h(x) = = 1 m4 = 3x4, then g'(x) = then h'(x) =

A: As we know that; The Power law: ddxxn=nxn-1 And a·f'=a·f' , where a is constant.     1). The given…

Q: x dx + sin² X [ydx−xdy ] =0

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Q: Compute the vector components of = (5, 5, 4) perpendicular to the unit vector u = (0, 0.8, 0.6).…

A: As we know The vector component of a→ perpendicular to b→=b→×a→×b→b→2

Q: Suppose a computer manufacturer has the total cost function C(x) = 80x + 3600 (in dollars) and the…

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Q: Simplify the following expression. 2 √√√₁²³ dx X +1 dt

A: let  A=d dx∫x2t3+1dtwe know from fundamental theoram of calculas d…

Q: 1998 Σ n=1 1 (4n – 3)(4n + 1)

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Q: Suppose we want to estimate f(3x² – 10)dä using n = 5 subintervals of equal width. (a) The width of…

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

Q: Let h(x) = -2x + 7 and g(x) = x³. Find the x-intercept(s) of h(g(x)) Ox=√√ 7 Ox=√ √²/7 3/2 Ox=21/2…

A: Given hx=-2x+7 and gx=x3.We have to find the x intercept of hgx.

Q: 3. (a) Calculate the Laplace transform of each function. Explain your reasoning (i) cos(2t) sin(4t).

A: according to bartleby guide line we do only first part of multiple questions please re post other…

Q: Solve for the general solution: x2y" - xy' - 3y = 0. Oy=c1 x + c2 x^3 Oy=c1 x + c2 x^(-3) Oy=c1…

A: Topic = Differential equation

Q: Solve for the particular solution: (D2 - 3D)y= (12x²-38x+4)ex Oyp = e^(-x) (3x^2 - x + 1) O…

A: Using inverse operator

Q: Jse the special factoring methods to factor the following binomial. If it cannot be factored,…

A: we need to factor the given polynomial

Q: Prove the identity. cos (x + 7) + cos (x-7)= cos ) X 3 3

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Q: Suppose that the relationship between the tax rate t on imported shoes and the total sales S (in…

A: NOTE: Refresh your page if you can't see any equations. . total sales are given by where t is the…

Q: Make a sign diagram for the derivative of the f(x) = x² + 4x³8x² + 52 f'(x) ?0 increase f'(x) ?0…

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Q: 2. Below is the graph of f'(x). For what values of x is f(x) decreasing? Explain. ↑f'(x) 5 3 2 -1 -2…

A: Topic = Functions

Q: Find the point at which the line F(t) = + t intersects the yz plane. 1 2 Fat

A: To find the intersection point for yz plane and given liner¯(t)=<8, 2, 1> + t <4, -8,…

Q: Sketch the region given by the set. {(x, y) | y <5} U -10-9-8-7-8-5 -14 -3 -2 10 0 8 7 6 6 4 3 2 4 6…

A: Given: Sketch the given by the set.{(x,y) | y&lt;5}

Q: a) b) Write the expression sin(arctan(x)) as an algebraic function, without involving trigonometric…

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Q: A farmer wants to make three identical rectangular enclosures along a straight river, as in the…

A: NOTE: Refresh your page if you can't see any equations. . x=width of the rectangle y=length of the…

Q: Suppose a company has fixed costs of $4500 and variable costs per unit of +1160 dollars, where x is…

A: We need to find profit function.

Q: Solve the intitial value problem. y' = (1-2y)e y(0) = 2. y =

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Q: Find an equation of the line that (a) has the same y-intercept as the line y 8x 100 and (b) is…

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Q: 5. Let f'(x) = (x² + 1)(x − 5)(x + 2). What type of critical point is located at x = 5? Explain

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