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Q: When completing the square, a quadratic trinomial is turned into which one of the following? A…

A: Given.

Q: Use 1st and 2nd derivatives, sketch the graph of given function 2x x² - 1 f(x) =

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Q: Let a = -17-23 + 3k and 6 = 67-53-4k. Find a b Check Answer

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find a unit vector that is orthogonal to both = (1, 1, 9) and v = Enter vector brackets using the…

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Q: This is all one question. I really need help on this. Thank you so much

A: Given: peter goes on a ferris wheel that has a diameter of 36 feet and the distance fro the bottom…

Q: Find the cross product u x 7 where u = 51 -3j+k and = (-1, -3,2). uxv=

A: To find the cross product u→×v→ where u→=5i-3j+k and v→=-1, -3, 2.

Q: Q7. Use Green's theorem to evaluate fy² dx + 3xy dy, where c is the boundary of the semi annular…

A:

Q: A spherical iron ball 8cm in diameter is coated with a layer of ice of uniform  thickness. If the…

A: Given data:- The diameter of the iron ball is, 8 cm The thickness of the coating is, 2 cm The rate…

Q: Let w(x, y, z) = x² + y² + z² where x = sin(7t), y = cos(-3t), z = e-4t. dx dy dz dw dt dt' dt dt…

A: Given problem:- wx,y,z=x2+y2+z2,x=sin7t,y=cos-3t,z=e-4t Find dwdt

Q: Solve the differential equation (2x + y) dx - O a. 5x+10y + In |10x O b. O c. 5x O d. 5x (4x + 2y -…

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Q: 5. The population, P, of an island, y years after colonization is given by the function P = a. What…

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Q: 37. Problem Using polar coordinates, a point is at (7, 38). Find its rectangular coordinates. a)…

A: As per bertleby guideline I  have to solve only problem 37. For answer to others resubmit the…

Q: Use Green's Theorem to evaluate the following line integral. Assume the curve is oriented…

A:

Q: Let a = . Find al. Check Answer

A: Given a→=<5,-1,-4>To find: a→

Q: (3x - 2y + 1) dx + (3x - 2y + 3) dy = 0.

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Q: Using the definitions of tanh and sech in terms of the exponential function, solve for x 4 sech(3x)…

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Q: Evaluate the following integral over the Region R." (Answer accurate to 2 decimal places). S S 4(x +…

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Q: Write the following expression as one integral. 5 7 5 I from S₁ •Sf(x) dx - - f(x) dx + - f(x) dx -7…

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Q: A sequence is defined recursively by the given formulas. Find the first five terms of the sequence.…

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Q: Let P be the set of positive real numbers. One can show that the set P³ = {(x, y, z)|x, y, z € P}…

A: The objective of the question is determine the vector .

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: We have to find the area between the curves.

Q: B A 876, 5432 -10-9-8-7-6 -54 -3 -2 -1 1234 -1 Graph of f D 1 2 3 4 5 6 7 8 9 10 C x.

A: We will find the required.

Q: lim x(√16x² + 2 - 4x) X118

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Q: 1.3: The derivative of the function sin(cos x) is a) cos(cos x) b) cos(-sin x) c) sin x cos(cos x)…

A: The given function is: fx=sincosx As we know from the Chain rule: fgx'=f'gx·g'x And the common…

Q: Let f be the function graphed below. If 20 subintervals of equal length are used, write a summation…

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Q: Find all the values of x such that the given series would converge. ∞ (-1)" Σ (x¹)(n+3) (5)" n=1 The…

A: answer is in next step. please give a like !!

Q: Find the nth term of a sequence whose first several terms are given. 10 11 9' 10' 11' 12' an = Need…

A: The given sequence is 89,910,1011,1112,....

Q: 1. Write and then solve for y = f(x) the differential equation for the statement: "The rate of…

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Q: Find fxy(x,y) if f(x,y)= e 4xy². fxy(x,y)=

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Q: For the function f(x,y) = 7x² + 6y², find f(x + h,y)-f(x,y) = h f(x+h,y)-f(x,y) h

A:

Q: 1. The Louvre museum in Paris features an inverted square pyramid with a height of 10 m. The side of…

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Q: Differentiate the following function. You do not need to simplify the derivative. dy dx || y = 2e²²

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Q: Use calculus to find the open intervals on which the function f (x) = x +4√1 − x is increasing or…

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Q: Find the integral of f(x) = e- sinh(x) between 0 and 1.

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Q: Let f(x) = 4x + 7 – 17e². Then the equation of the tangent line to the graph of f (0, -10) is given…

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Q: Find the cross product u x 7 where u = 2i -3j +k and = (7, - 3, 4). ü xü= Check Answer

A: We have u→=2i-3j+kor u→=2, -3, 1Alsov→=7, -3, 4

Q: Find the values of x, y and z that correspond to the critical point of the function: f(x, y) = 4x² +…

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Q: Find the center and radius of the sphere with equation (z + 3)² + (y + 1)² + (z+4)² = 1 Center:…

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Q: 1. Let f(x, y) = y²exy. (a) Find the normal vector to the graph of f(x, y) at (0, 1, 1).

A: Please see the below picture for detailed solution.

Q: Find the domain and range of the function.   ​G(t​)=1/t2-25

A: Given,            Gt=1t2-25To find : Find the domain and range of the function.

Q: 4. The table below gives selected values for the function f(x). Use a trapezoidal estimation, with 6…

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Q: Let à = = (2, 4, 5) and 6 = (3, -5, - 2). - Find the angle between the vector (in radians) Check…

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Q: 5. (a) Suppose a particle moves along a trajectory given by the vvf r(t). If its veloc- ity and…

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Q: Find the domain of the vector function r(t) = Domain: {t |} ≤t≤

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Q: (a) Find the rank of the following matrix for all values of a 1 a -1 2 2 -1 a 5 1 10 -61 Show your…

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

Q: Solve the following first order differential equation: dy y² +49 +3 35 4 x² + 2x³-3x² dx == 0 given…

A: Differential equation: 35x4+2x3-3x2·dydx-y2+49x3=0

Q: Let f be a continuous function such that 10 9 f(x) dx = 5. What is the value of f(x) dx = -6 and…

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Q: Find the Taylor Series generated by f(x) = (7 · X) ² at X=6 : f'(x) =__9 (7-X) 10 90 ƒ"(x)= (7-x)"…

A: The given function is fx=17-x9 centered at x=6

Q: Prove, using the definitions of tanh and sech in terms of the exponential function, that 1 − tanh2…

A: Substitute the exponential function of tanhx in the equation

Q: of the function given by the equation derivations details.

A: