Find the area of the region bounded by the graphs of the given equations.   y=4−x2​, y=4-3x

Q: If f(x) = c where с is a real number, then which statements are true? Select all that apply. O…

A: Given query is to find the correct options for the function.

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Q: 6. Determine whether the series Σ=2 1 nln(n) is convergent or divergent

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Q: Find the area of the surface generated by revolving the curve y = √/2x-x2, 0.75 ≤x≤ 1, about the…

A: formula for surface area is  A=2π∫aby1+(dydx)2dxy=2x-x2dxndx=nxn-1

Q: Find the vectors T, N, and B at the given point. r(t) =   8 cos(t), 8 sin(t), 8 ln(cos(t))  ,…

A: The given vector is:r(t)=8 cos(t), 8 sin(t), 8 ln(cos t)and the given point is:  (8, 0, 0)Therefore…

Q: Solve 6 sin² (x) cos(x) - 4 = 0 for all solutions 0 < x < 2π X- - Give your answers accurate to 2…

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Q: Use l'Hôpital's sin (x) - X 3x3 lim x→0 Rule to find the following limit. sin (x) - X lim X-0 3x…

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Q: Consider the function Fx(x) = 0 x 2.

A: The given probability distribution is: 0x&lt;0x20≤x&lt;1k+1-kx-121≤x&lt;21x≥2 It is known that FXx…

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A: we need to find out the exponential growth function and also the cost of the groceries in 2013.

Q: se trigonometric substitution to solve. 4x S dx √√x²-1

A: Please see the below picture for detailed solution.

Q: Use the properties of logarithms to write the following expression as a single logarithm: Int+7lnr –…

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Q: Find all the solutions to the homogeneous linear system of equations W - 2x + y + 3z = 0 2w+x+4y+z =…

A: NOTE: Refresh your page if you can't see any equations. . system Ax=b is  for the homogeneous…

Q: O True O False (ƒ · g)' = ƒ' · g'

A: Given query is to find statment is true or false

Q: Consider r(t) = (2t5 – 1, − 3e¹t, — 4 sin( – 3t)). Find - - fF(t)dt. dt. Don't include the + С.…

A: To find the integral of given vector valued function

Q: If you drive 98 miles and use 7 gallons of gas, what is your rate of gas consumption? miles per…

A: Given query is to find the rate of gas consumption.

Q: Differentiate the function. h(t) = O O In 91 In 72t In 8 (In 72t)2 In 8 r(In 721)2 In 8 t 01/17 -…

A: INTRODUCTION A function's differentiation can be used to display the rate of change of a function at…

Q: A set of simultaneous equations is given by: 3x = 5-4y 2x+5y-1 When written in matrix form, what is…

A: To write the system of equations in matrix form

Q: Suppose that f(x, y) = eª/y on the domain D = {(x, y) | 0 ≤ y ≤ 2,0 ≤ x ≤ y³}. D Q Then the double…

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Q: The polynomial f(x) given below has -2 as a zero. f(x) = x³ + 12x² +54x +68 Find the other zeros of…

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Q: 3. Find f'(x) for f(x) = 3x-4 2x+3

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Q: A company is decreasing production of math-brain protein bars at a rate of 500 cases per day. Al…

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Q: Find the value or values of c that satisfy the equation f(x)=2x² + 5x - 3, [-1,2] f(b)-f(a) b-a =…

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Q: Ꮖ = 5.² for f(u) du. The function f(x) is defined on [0, ∞) and satisfies x³ = Find f(x). (Hint: Use…

A: Given query is to find f(x).

Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: (a)   slope =dydxy=5x2+5,  point  (-5,130)dxndx=nxn-1

Q: = Find the volume of the parallelepiped determined by the vectors a c = (2, 3, 1). Volume =…

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Q: Consider the following parametric equations, x=-t-2, y=-7t-7; -5st≤5. Complete parts (a) through (d)…

A: The given parametric equation is x=-t-2,y=-7t-7, -5≤t≤5

Q: Given the derivative of a continuous function, f'(x) = -16+64, if each of the critical points and…

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Q: lf D: − 1 ≤ x ≤ 1 and − x² ≤ y ≤ x², evaluate the double integral - ſf xy - 3x² dxdy over the region…

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Q: 1. Find the s y" - y'-

A: Go through the solution...I have solved 1st question step by step in detail... as per our company…

Q: 1. Find the equation of the tangent line to the curve y = lnx² that is parallel to the line y = x.…

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Q: The supply for a particular item is given by the function S(x) = 19 + 11x. Find the producer's…

A: formula for producer surplus is =(p)e(x)e-∫abs(x)dxgiven  s(x)=19+11x

Q: 4) (x + y ) dx + XY dy =o

A: To solve the given differential equation

Q: Evaluate - 1x - 31 (x + 4)(x − 5) -dz ² +C

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Q: 6572sinx 10

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Q: Find the inverse Laplace transforms of the following functions: A) S 2s² + 128

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

Q: Find lim X→∞ lim X→∞ 1 √x 1 √x X dt dt √√₁

A: ∫tndt=tn+1n+1+clet  A=limx→∞1x∫1x1tdt

Q: Frequency 10+ 8 6 1 7 13 19 25 31 37 data Based on the histogram above, what is the class width?…

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Q: Consider the line that passes through the points (-4,4) and (13,9). a. Find the slope of the line.…

A: use the algebraic property of number.

Q: Determine if the following series converges of diverges. If converges, find the sum. 8 n=1 1 (n −…

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Q: asing, the circumference at that moment is: 01/ 27² O

A: Given query is to find circumference p.

Q: What's the exact value of ? 0.866 -0.866 1/2 sin 2π တ √2 2 √√3 2

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Q: If f(x) = 3x² x = find -9, find a so that f'(x) = 0. 10x - 9, Preview

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Q: √5 ㅠ = eV5ln 75

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Q: Suppose the daily total cost (in dollars) of manufacturing x televisions is…

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Q: d da -(10²) = x10²-1

A: To determine whether the following statement is true or false.ddx10x=x 10x-1

Q: Find the values of the trigonometric functions of 0 from the information given. tan(0) = -3, sin(0)…

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Q: 3 36. Evaluate cos 20, given cos 0: = 5 sin = 4 5 and 37. Evaluate sin 20, given cos 0 and 4 5 sin =

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Q: Use the trigonometric identities we covered in class to show why the expression below simplifies to…

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Q: ind both the consumer's and producer's surplus if for a product D(x) = 46x, S(x) = 14 + 2x 2 . Round…

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Q: Find the derivative of y with respect to t. y = In (t10) dy dt 11

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