Given a right triangle. The hypotenuse is 5, the two sides are "a" and "b". The angle that is opposite with side "b" is 30° Solve for the unknow sides of triangle. 6.

Q: f(x) = 3x² – 6x+1, taking the sample points to be point and a = 0,6 = 3, and n = 8. %3D Find the exa...

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Q: (In 10x+ 41nx) ³dx A Inx B In°x+4 In°x D In 10x+4lnx In 10x+ 4lnx E F None

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Q: 1. lim f(x) : = -1 and f(1)DNE 2. lim f(x): = 1 and f(0) = -3 3. lim f(x) = -2, X →2- lim f(x) x → 2...

A: We have to graph the function asper the given limits.

Q: As the table shows, projections indicate that the percent of adults with diabetes could dramatically...

A: This question can be solved using line of best fit(method of least square)

Q: parallel

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Q: sec® tan Od® coso A) tane В sece sec?0

A: topic - indefinite integral

Q: 2. Answer C/DC a. lim f(x) x2 b. lim f(x) X-2+ c. lim f(x) -3 -2 -1 -1 X-2 d. lim f(x) -2 X-5 -3 e. ...

A: limx→a f(x)=L if and only if limx→a+ f(x)= L=limx→a- f(x).

Q: Question 3 The slope of the tangent line to the graph of 4x2 + cx – 2e" = -2 at (0, 0) is 4. Give th...

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Q: (c) When will the rock hit the surface? We note that the rock will hit the surface when its height a...

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Q: Find the area in the first quadrant bounded by the coordinate axes Va + Vỹ = 1 and the parabolic arc

A: Topic:- integration

Q: Find the following using the table below. 1 3 4 f(r) 1 4 3

A: Given that:                      

Q: (- 5x +7 if a 3 Let f(x) = Find lim f(x) , if it exists. O-8 O DNE О- 25 09

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Q: Let f(x) = (- 3r- 9)* (6z² – 6)5 4 f'(x)=

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Q: Complete the expanded notation for 62,708,934

A: Follow the procedure given below.

Q: If f(x) = x2 – 6x and g(x) = 6 – x³, evaluate the following. %3D a. (f+ g)(- 2) b. (g - )(- 4) c. (f...

A: The given functions are f(x)=x2-6x  &  g(x)=6-x3

Q: SF S"(x² cos y – sin x) dxdy 2

A: Given that: ∫0π2∫0π(x2cosy-sinx)dxdy

Q: If f(x) = sin(a), find f'(x) Find f'(4)

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Q: 4 If f(x) sin z, find f' (x). Find f'(4).

A: Topic:- derivatives

Q: A piano manufacturer has a daily fixed cost of $1,300 and a marginal cost of $1,700 per piano. Find ...

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Q: Website Profit You operate a gaming website, www.mudbeast.net, where users must pay a small fee to l...

A: We need to find profit.

Q: Solve the initial value problem for y as a function of x. dy x² + 121) 3 23, у(11)%3D0 dx The soluti...

A: Topic:- integration 

Q: Transform the complex number into its rectangular and exponential form. (2 +2i)

A: Here, the given complex number is: z=2+2i which is of the form x+iy. So, the given complex number is...

Q: Find (f o g)(x) and (g o f)(x). 8. 10x) = 5x² - 3; g(x) = = %3D (fo g)(x) =| (Simplify your answer. ...

A: Given that f(x)=5x2-3,    g(x) =8x. We have to find f∘gx and g∘fx. Now, f∘gx = fg(x)         and    ...

Q: Consider the following equation of a circle. (x- 8) + Step 3 of 3: Find three points that lie on the...

A: The given equation of the circle is: (x - 8)² + (y + 6/5)² = 25/9   

Q: At a sand and gravel plant, sand is falling off a conveyor belt at a rate of 36 cubic feet per minut...

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Q: 11) sin-1

A: Note:- according to the company policy we can attempt ?️ only one question so please upload the next...

Q: Consider the function f(x) given by the graph below. y -5- f(x) -5 Determine the limits. If a limit ...

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Q: Give the coordinates of the vertex of the graph of the function. Graph the function on a window that...

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Q: Given the following table, give the best estimate for f(12) 6. 9. 12 15 f(x) 33 44 55 63 27 7 The es...

A: Topic:- function

Q: Find f if f"(x) = 4 – 6x, f(0) = 3, and f(2) = -2. %3D Answer: f(æ)

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Q: Evaluate the limit using the appropriate properties of limits. 4x2 - 7 lim 3x + x - 3

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Q: 11) sin-! 2

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Q: or f'(9)- f(9)

A: Follow the procedure given below

Q: e12t S. dt V4e6t–1

A: NOTE: Refresh your page if you can't see any equations. . substitute  ...............put it bac...

Q: Find f if f"(x) = 4 – 6x, f(0) = 3, and f(2) = -2. %3D Answer: f(x) =|

A: f"(x) = 4 - 6x , integrating the equation  Using the formula ∫ xn dx = xn+1 /(n+1) ∫ f''(x) dx = ∫ 4...

Q: The function f(x, y) = 4 corresponds to x² + y² plot [ Select ]

A: Given that: f(x, y)=4x2+y2

Q: Find the minimum and maximum values of the function y = 8/x² + 1 – 3x on the interval [0, 6] by comp...

A: Find maximum and minimum values of  y= 8√(x^2+1) -3x in interval [0,6] 

Q: Find the derivative of the function using the definition of derivative. V F(v) = v + 9 F'(V) =

A: NOTE: Refresh your page if you can't see any equations. . substitute v+h for v

Q: ve the following: 1. Find the magnitude and direction of the given vector from D(-5, -4) to E(8, -2)

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Q: The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled...

A: Given that: D(t)=4sin πt4+9π4+3

Q: Find values of c, if any, at which 2x f(x): 15 x + 7 is not continuous (enter as comma separated lis...

A: The rational polynomial function y=fxgx is continuous everywhere except such 'x' where g(x)=0. Given...

Q: Find an equation of the plane. the plane through the point (9, 2, 5) and with normal vector 3i + 5j ...

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Q: The curve x' + y° = 3xy was first discussed in 1638 by the French philosopher-mathematician René Des...

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Q: Evaluate the following definite integral. sec2 dt /14

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Q: A matrix that is not square can still have an inverse.

A: Inverse of a matrix.

Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an answ...

A: Given that:                           NOTE: As per our answering guidelines, we can only answer 1 qu...

Q: tance between the camera and the shuttle (see figure). Write e as a function of s for the period of ...

A: Given query is to find the rate of change of angle.

Q: Solve the differential equation: (2y+3)y'=-(1-3t²)

A: Given that: (2y+3)y'=-(1-3t2)

Q: The equation of the plane through the point (2, 5, 7) that is parallel to the line 7(t) = 3î + 2 – 2...

A: Explained below 

Q: 11) sin-1 2.

A: