Find dy/dx by using Leibniz’s notation for the chain rule: dy/dx = (dy/du) (du/dx)  y = (2 x3 − x2 + 6x + 1)3

Q: Find the taylor polynomials of orders n = 0,1,2,3, and 4 about x=x0, and then find the nth Taylor po...

A: Given : taylor polynomials of orders n = 0,1,2,3, and 4 about x=x0, Pn(x) for the function in sigma ...

Q: Find an equation for the sphere with the given center and radius. Center (0, -3, -6), radius = 9 HIN...

A: The equation of a sphere is  (x - h)2 +(y - k)2 + (z - k)2  = r2 Where (h , k , l) is the center of ...

Q: 4. If cos 4A - -1/9, find cos A 5. If tan 4A - 24/7, find sec A

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Q: Eight workers are assigned to 8 different jobs. Combination Not Combination

A: Eight workers are assigned to 8 different jobs. We have to determine whether it is combination or no...

Q: For the given p-series, identify p and determine whether the series converges. -6/5 k=1 p = . Theref...

A: Given∑k-6/5k=1∞

Q: CALO2- INTEGRAL CALULUS INTEGRALS OF TRIGOMOMETRIC FUNCTI ONS HTE GRATE Hも FO110WIN の 5) (xcot (10x?...

A: A detailed solution is given below

Q: 2. Find the y" of * y = 3-2x 3x+5

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Q: Consider the region R bounded by the line y = 42- 8x and the parabola y = 27 - x2. To find the volum...

A: We need to find volume.

Q: 2) a. The graph ofthe function f(x) = ax²+ bx + c has the y- intercept of 3, and its tangent at the ...

A: Let's find. 

Q: Let z = F(x , y), where x = u ev - 4 and y = ut e -V + 3. Use the chain rule %3D az to find du at (u...

A: Concept- using the chain rule of differentiation

Q: Find all the first order partial derivatives for the following function. f(x, y) %3D хуе "У af dy af...

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Q: R be the region of the xy-plane which is in the fırst quadrant and inside the unit circle x² + y = 1...

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Q: The length of an arc of a polar curve r f(0), a s0 sb, is given by the formula: L = Find the length ...

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Q: Write a chain rule formula for the following derivative. dw for w = f(x, y, z); x = g(r, s, t), y = ...

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Q: 6. Calculate the area enclosed between the curve y =the curve y=x² and the line x= 1. Give your answ...

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Q: In 2010, 1250 U.S. college students expecting to graduate in the next several years were surveyed. R...

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Q: Write a chain rule formula for the following derivative. du for u = f(x); x = g(p, q, r) ar du du ar...

A: We have to choose correct option

Q: 3. Zoom in toward the points (1, 0), (0, 1), and (-1, 0) on the graph of the function g(x) = (x -1)3...

A: Solution ) graph of g (x) = (x2 - 1)2/3

Q: A post 20 meters long stands vertically in a horizontal plane. Another post stands vertically on the...

A: Given: A post 20 meters long stands vertically in a horizontal plane. Another post 45 meters high st...

Q: The Maclaurin series of the function f(x) = 9 cos(10z?) %3D can be written as f(x)= Cna" where a few...

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Q: What are the coordinates of the foci of the hyperbola whose equation in standard form (x +4)² is giv...

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Q: 5. A certain vessel is full of pure alcohol. Five liters are drawn and replaced by water. After mixi...

A: Topic:- algebra

Q: 1 -dx Use the technique of completing the square to evaluate the following integral: J x2 - 6.x

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Q: A frictionless highway Turn has a constant curvature 1.96 x10 -2 m-1 is banked at an angle 0 = tan-1...

A: I am attaching image so that you understand each and every step.

Q: Which of the following is the approximate value of e' if polynomial expansion P(x) centered at a = 0...

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Q: Compute the partial sums S2, S4, and S6. 8 8 + 22 S2 = %3D S4 = S6 =

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Q: 7. Drawn below is an odd, periodic function with period 3. f(x) dx = 5 y = f(x) (i) Calculate the to...

A: Find your answer below 

Q: 5+ 4 cos 0 as shown in the figure below. What is t aluate and round to the nearest thousandth.

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Q: Let C be the plane curve given parametrically by the equations : x(t) = t2 + t and y(t) = t² - t - 2...

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Q: Find all the partial derivatives of: f(x, y) = y7 In(x²) + 9y¬3 – Vx*.

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Q: If f(x)=3x^2-2, and g(x)=f−1(x), what is the slope of the curve g(x)=f−1(x) at the point (10, 2)

A: Given f(x) =3x²-2  And g(x)=1-f(x) =1-(3x²-2) =1-3x²+2 g(x)=-3x²+3 For slope of curve g(x) different...

Q: For all x ≥ 0, 4x − 9 ≤ f(x) ≤ x 2 − 4x + 7. Find limx→4 f(x). ⇒

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Q: Find the equation of the tangent line to y = arctan(2x) when x = V3 O y - = ( - ) 1 3 O y - = }(2 - ...

A: Let's find. 

Q: Write a chain rule formula for the following derivative. aw for w = f(x, y, z); x = g(r, s, t), y = ...

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Q: Find projy u. v = 7i-3j+ k, u = -4 j+ 3 k 60 45 j+ k 59 59 O 105 i- 59 45 15 k 59 59 9 9. +k

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Q: Fnd the stope-intercept equation of Ine L tirongh (4,1) and parallel to the line 4x-24 =5.

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Find the particular solution to the following equation y" + 4y' + 5y = 0 y(0) = 1; y'(0) = -3 Hint: ...

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Q: Find all the second order partial derivatives of the given function. f(x, y) = In (x 2y - x) O a2€ _...

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Q: (x- h)?, (y-k)² Which of the following is true about ellipse with equation in standard form 1, a>b? ...

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Q: Principal Compounded semiannually The principal represents an amount of money deposited in a savings...

A: Given table:- Principal Rate compounded  Time $ 6000 8℅ semiannually 5 years   To find:- The...

Q: Parametrize the following two curves in R3 and find their arclength. (1) the intersection of the cyl...

A: Since, you have posted multiple questions, as per guidelines we will solve only first question. If y...

Q: In a certain manufacturing process, when the level of production is x units, the cost of production,...

A: This question can be solved by using the concept of absolute maxima and absolute minima.  

Q: A man on a boat is located at point B on the waters, 200 meters from point A on the shoreline. Line ...

A: Given: A man on a boat is located at point B on the waters. The point B is 200 meters from point A o...

Q: Find the indefinite integral: 30 [cos 3x + sin 2x + e5x]dx 10sin 3x -20 cos 2x +6 e5x + C O 90sin 3x...

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Q: C. Find i '(t). 1. ř (t) =

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Q: 2. The sum of two numbers is 52. If the ratio of one number increase by 2 to the other number decrea...

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Q: Match the sequence with the given nth term with its graph. 10n %3D n + 1 10 2- 8 4. 主十 2 4 6 8 10 -1...

A: topic - sequence and series

Q: Find the magnitude of u x v and the unit vector parallel to u x v in the direction of u x v. u = 2 i...

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Q: Give a geometric description of the set of points whose coordinates satisfy the given conditions. x2...

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Q: 2- 1l71 2 3 4 5 6 7 ++ 89 -1 -2 -3 -4 -5 -7 -8 What is the equation in general form of the ellipse w...

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