Is this set of ordered pairs, a function or not a function? {(5, -1), (3, -5), (2, -5), (0, -2), (-1, -3)

Q: Let a) Given that In (y) can be written in the form What are the coefficients A, B, C, and D? −3x ¸…

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Q: Find the exact length of the curve. y = In(cos(x)), 0≤x≤ I x≤ 6

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Q: Equations of Order One: Separation of Variables Instructions: Obtain the general solution of the…

A: To solve: y' = xy ⇒dydx = xy ⇒dyy = xdx

Q: Use the definition to find the derivative f'(a) for f(x) = x+2 √x and a = 3

A: Given, f(x)=x+2x   Find derivative using definition at point a=3

Q: lotes f(u) = eª cotu

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Q: The height of a cone is increasing at a constant rate of 6 centimeters per minute. The volume…

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Q: The multiflash photograph in the accompanying figure shows two balls falling from rest. The vertical…

A: Given s=490t2We need to find the time taken by balls to fall the first 160cm.

Q: Find the points of inflection of the graph of the function. (Round your answers to three decimal…

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Q: The solution of the equation x³ dx + (y + 1)² dy = 0 O a. 12 [x4 + (y+1)³] = c O b. 3x4 +3 (y+1)³ =…

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Q: 1. Determine whether or not the following relations are functions. If the given relation is a…

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Q: Let f(x) = 5x6 if x ≤7 -8x+b if x>7 If f(x) is a function which is continuous everywhere, then we…

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Q: The solution of DE y' - 2y = y² O a. In y + In (y+2) = x-C O b. y(y+2) Ce O c. y/(y+2) = Ce d. In y…

A: To solve: y' -2y = y2 ⇒dydx  = y2+2y⇒dyy2+2y  = dx

Q: Find the indefinite integral. (Use C for the constant of integration.) / (8 cos(x) + 7 sin(x)) dx

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Q: Use f(x) = 5x - 4 and g(x) = 3x² to evaluate the expression. (a) (fof)(x) (b) (g o g)(x)

A: The given function are  f(x) = 5x-4 and g(x)= 3-x2 Find  a) (fof)(x)  b) (gog)(x)

Q: Find the area of the region bounded by the curves. You may use software to graph the curves. Sketch…

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Q: Find the leftmost point on the upper half of the cardioid r = 1 + cosθ.

A: Concept: A two-dimensional plane figure with a heart-shaped curve is called a cardioid. Greek words…

Q: Compute the first three derivatives of f(x) and then state the formula for the nth derivative of…

A: Topic = Derivative

Q: 9. A farmer has 900 feet of fencing and wants to fence in as much area as possible as a rectangular…

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

Q: f(x) -- Н It cos ах |- cos ах

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Q: Find dy dz dy if y = dz = x³ + 3x + 2 x² +8 Submit Question Jump to Answer

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Q: The slope of the tangent line to the parabola y = 3x² + 5x + 7 at the point (0,7) is:

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Q: Solve (3x² + e²v) dx + (2xe ² − 4y) dy = 0 2y A B x² + xe²y = 2y² = C 2y D x³ + xe ³y - 2y³ = C 3 3y…

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Q: By definition, (fog)(x) = f(g(x)) v . So if g(2) = 6 and f(6) = 17, then (f o g)(2)

A: The given values are g(2)=6, and f(6)=17 We have to find the value of f∘g2

Q: 2 s 0 x dx

A: n  = 4

Q: The wind chill temperature when the outside temperature is 20°F is given by y=0.0058x²-0.65x+15.2,…

A: Given data:- The wind chill temperature when the outside temperature is 20°F is given by,…

Q: Let an be the number of {A, B}-strings of length n with the property that every A is followed by an…

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Q: Let S be the solid obtained by rotating the region shown in the figure about the y-axis. (Assume a =…

A: Height is 7.111 unit.    And volume is 40.21 unit3.

Q: 5. Let f: A B be a function. Define a relation on A by a₁ ~ƒ a₂ ⇒ f(a₁) = f(a₂) for all a₁, a2 € A.…

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Q: Find the General Solution and the Particular Solution to the following differentia tion: dy dx -…

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Q: Determine the point (x,y)(x,y) on the unit circle associated with the following real number s. s=…

A: Given :For Unit Circle,Coordinates are given in the form of trigonometric function x=cosθy=sinθ

Q: Two carts, A and B, are connected by a rope 39 ft long that passes over a pulley P. 12ft I 0 00 @…

A: x= 5 ft  dx/dt= 4 ft/sec

Q: Consider the following. F(x) = * sec²(t) dt JR/3 (a) Integrate to find F as a function of x. F(x) =…

A: Consider the following.Fx=∫π3x sec2t dt a To integrate to find F as a function of x.b To demonstrate…

Q: Suppose f(x, y) = xe -8x²-8y² Answer the following. 1. Find the local maxima of f. List your answers…

A: Detailed solution is given below

Q: Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile…

A: It is given that, Base diameter, D=Height, h

Q: Please show your complete solution and write readable thanks. 1.) Determine the nth term of the…

A: nth term of a geometric sequence with first term a and common ratio r is given by, an=ar(n-1) Sum…

Q: Suppose g(x, y) = x³ - 6xy + 6y². Answer the following. In each case give all three coordinates of…

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Q: Tuesday In of (xin Exc (clip brow if flt) = √at +1, find "(2). (2 Wednesday

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Q: c. f(x) = 2* ln(x³ - 8)

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Prove the formula for 0 ≤ y ≤ π Let y = cos ¹(x). Then cos(y) = dy d dx dx (cos¯¹(x)) by by implicit…

A: solution for first question is given below ( as per answer policy only one question is allowed )

Q: (3x²y+2e²y+3)dx + (x³ +4xe²y-sech² y+2lny)dy-0

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Q: Find the indefinite integral. (Use C for the constant of integration.) [(86 (8 cos(x) + 7 sin(x)) dx

A: To find the indefinite integral.

Q: at sin (nt) at Så ea

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Q: 1. Consider the function f(x) = 2x - 4 (a) Find f-¹(x). (b) Use the compositions of f and f-¹ to…

A: see below the answer and calculation

Q: Given Cost and Revenue functions C(q) =q³ - 10q² +58q+ 5000 and R(q) = -3q² + 2500q, what is the…

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Q: Arch was in the form of semi - ellipse which supports the bridge over a canyon. Bridge = 400 ft (1)…

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Q: Suppose that the distance an aircraft travels along a runway before takeoff is given by D= (5/3)t2,…

A: Suppose that the distance an aircraft travels along a runway before takeoff is given by D=…

Q: Let f(x) = 6.1x² - 3.4x. Use the difference quotient and h = 0.001 to estimate the slope of the…

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Q: cos 0 = 6100 9' tan Ꮎ < 0 Find sin 0.

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Q: Determine the point (x,y)(x,y) on the unit circle associated with the following real number s.  S=…

A: We have to find the point x,y on the unit circle associated with S=-π3

Q: dy 1. Find Do not simplify. de (a) cos (x + √y) + tanh-¹ (sin² x) = ln 3+ y sech (¹). 1 22 (b) y =…

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