Sketch-the-graphs-x = 4y - y² and x = y

Q: Given ƒ"(x) = 6x – 5 - and ƒ'(−2) = −1 and ƒ(−2) = 2. Find f'(x) = and find f(2)=

A: We need to find out the value of f'(x) and f(2) for which the second derivative is given.

Q: Cost, revenue, and profit are in dollars and x is the number of units. The average cost of a product…

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. y² + 8y +49 (y² +49)²…

A: The given integral is:∫y2+8y+49y2+492 dy

Q: B₂ (x₂3x₂ ) = 4x₁x₂ *1*2 0< x₂ <1 2 Y₁ = x₂₁² Y₂ = X₁ X/₂ Find the joint pdf for Y₁, Y₂ for 0<x< ₁…

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Q: [√² √sec²z - 1

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Q: Consider the graph between two curves. Which of the following is the correct set up for the area of…

A: Application of derivative

Q: 10x3-8x4+2x3 2 2 X→0 15x4+3x3-5x Evaluate Lim

A: We need to find the given limit limx→010x43-8x34+2x2315x24+3x23-5x

Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral.…

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Q: What is the minimum value of f(x) = x^2 - 8 ln x   on the interval [1,5]

A: To determine the minimum value of fx=x2-8 lnx on the interval 1, 5.

Q: Each of the limits below represent a piece of the passcode that you must enter to proceed. The…

A: We have to find the limits to get the passcode.

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: The equation of motion of a particle is s = t³ - 12t, where s is measured in meters and it is in…

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Q: The position of an object with respect to time is given by the following function: d(t) = d³ +21² -…

A: Given poistion function:- dt=d3+2t2-2

Q: Calculate the derivative of the function. HINT [See Example 3.] h(x) = 3[(6x − 1)(x − 1)]−1/3

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Q: The Third Gate You arrive at the third gate and look for the inscription. Your computer translates…

A: For x approaching c from the left, x&lt;c  ⇒  x-c5&lt;0The denominator is a negative  approaching…

Q: Evaluate lim x→∞ _x3 _ 5x2 +52 – 2 x² + 4x +3 =

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Q: The Sixth Gate After walking through the fifth gate, your computer informs you that more than half…

A: Given function f( t ) = 1a( 7t3 - 55t2 + 165 )40

Q: The number of hits on a certain website​ (in thousands) is approximated by f(x)=30e^0.171x​, where…

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Q: Evaluate the triple integral. JJL. TV₂ where G is the solid in the first octant that is bounded by…

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Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral.…

A: We need to change the integral into polar integral ∫0ln6∫0ln62-y2ex2+y2dxdy

Q: Find the critical point of the function f(x, y) = −8+2x+4x² + 5y-y² This critical point is a:…

A: Given f( x, y ) = -8 + 2x + 4x2 + 5y - y2

Q: Find the tangent plane to the equation z = 7e²²-2y at the point (4, 8, 7) 2 II

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Q: A volume is described as follows: 1. the base is the region bounded by x = y² + 8y + 50 and x = 2.…

A: A volume is described as follows: 1. The base is the region bounded by x=-y2+8y+50 and x=y2-22y+138.…

Q: x² 2 ,0sxs Find the length of the curve y=- 3√5 2

A: To find the length of the curve y=x22, 0≤x≤352.

Q: The function f(x) = 1 + 8x + 128x7 has one local minimum and one local maximum. This function has a…

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Q: (6x² - 4)² 24x dx

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Q: A student drew the graph of y = f (c), y = f' (x), y = g(r), and y = h(x). Unfortunately, they…

A: Find the graph of y=fx and y=f'x.

Q: A chemist has three different acid solutions. The first acid solution contains 25% acid, the second…

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Q: 1. Simplify the expression, that is, rewrite the following expressions as algebraic expressions of…

A: (a)  J=sec(arctan(x3))lrt tan-1(x3)=ytan(y)=x3we know 1+tan2x=sec2x

Q: Use a substitution to change the following integral into one that can be found in an integral table.…

A: Given Integration: ∫7dvv3+lnv2

Q: Find the derivative

A: We are required to find the derivative of (a) y=cos2tan1+x3(b) f(t)=3csc5πt-71-cotπt5-7

Q: Describe the given region in polar coordinates.

A: Please see the below picture for detailed solution.

Q: For the following function, a) give the coordinates of any critical points and classify each point…

A: As per rule I need to solve only first three subparts.

Q: 2. Determine whether the series is convergent or divergent. If it is convergent, find its sum. ܐ 5…

A: The Series ∑n=0∞arn is called geometric series and the geometric series a is the first term and r is…

Q: cos x ln(sin x)dx

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Q: let y = 3 x² + In x - ex find y' O 6x + (1/x) + ex O 6x - (1/x) - ex O 6x +1 + ex O none of the…

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Q: 4. Evaluate the limit, if it exists: lim x+1 a. 1 b. -1 x²-3x+2 x-1 c. d. 0 does not exist

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Q: First, let me say that I appreciate all the valid help that I have been receiving because the step…

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Q: Using the ratio test to determine the convergence or divergence of the series series. O Convergent…

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Q: implied domain for the following function. x^(2)-4x=5x-6y

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Q: Solve the differential equation y` = (196+ y)²

A: The given differential equation is: y'=196+y2

Q: Find lim f(x) if, for all x > 1, x → 00 4 12ex - 24 4ex X 3√x √x-1

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Q: 26. Distinguish between average and instantaneous rate of change, use an answer. appropriate example…

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Q: A ball is thrown upward in the air, and its height above the ground after t seconds is H (t) = 75 ⋅…

A: Given  height above the ground after t seconds is H(t)=75t - 16t^2 feet. To find the time when the…

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: To find where the function is increasing or decreasing.

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: In evaluating 2₁3² (x³ – 1) ¾ dx, we make the substitution u

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Q: (b) x = dx dt 1 sin7 (t³)

A: Given:- x=1sin7t3

Q: Some value of f(x) and f'(x) are given in the table. If no value is given, then you should assume…

A: Given Table:- x 4 5 6 f(x)   -3   f'(x) 1 ϕ 1

Q: Find the derivate of the functions a) F(x) = (7x²-9) (2x + 7) f'(x) = b) f(x) = 8x² - 2 8x +3 f'(x)…

A: To find derivatives