Verify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), в(2, -1, -6), C(4, 2, -13), D(3, 4, -4)

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: V-2 Evaluate lim X8x2-7x-8 O 2/7 O None of these O 1/9 1 O 1/12

A: We have to find limit

Q: The shaded region shown below is bounded by the functions f(x) = -3x2 + 8 and g(x) = 0.5x + 6 and…

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Q: Consider the function y = 3x2+2x-4. What is the exact value of C in the interval [-2, 4] such that…

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Q: Each side of a square is increasing at the rate of 8 cm/sec. At what rate is the area of the square…

A: We have to find the increase of area

Q: 1. Solve the given the equation using the integrating factors found by inspection. ydx + (x + x³…

A: Given that ydx+x+x3y2dy=0Solution :ydx+x1+x2y2dy=0this diffrancial equation in the…

Q: ) Given the following derivative function 2x – 5 f'(r) = Þ – I^ what are the critical numbers of…

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Q: Find the maximum value of the function f(x) = x3 - 9x2 + 15x - 5.

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Q: 2, 22, 23 5 67 8 * 3. Test the series

A: Write the series as summation and use ratio test .

Q: Find the equation of the tangent line and the normal line of the following curves at the given point…

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Q: Solve eX = 6 for x. The solution is x2 (Round to four decimal places.)

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Q: xdx Evaluate (x²-2)5

A: Given query is to evaluate the integral.

Q: given point 1. y = 2x° - 3x² - 2x + 5 ; where x 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: der the following planes. 5x + 2y – z = 44 x – 4y + 2z = 0 (a) Find the angle between the two…

A: Angle between planes and line of intersection of planes

Q: Consider the following curve. r2 cos(2?) = 9 A) Write an equation for the curve in terms of sin(?)…

A: The given curve is r2cos(2θ)=9

Q: Evaluate each of the following indefinite answers in simplest form (factored form) 3dt 1. (2t +8) Jt…

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Q: Use the position function s(t) --4.9+ 650, which gives the height (in meters) of an object that has…

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Q: Find the exact sum of the series 1 - 1 + (1/2!) - (1/3!) + (1/4!) - (1/5!) + (1/6!) - ...

A: Topic:- sequence and series

Q: (b) If a > b and c > 0, then ac > bc.

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Q: 41m Illustrate and find the largest negative coterminal angle of 6.

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Q: Sdx/(1-2x) = 1/2 In[1-2x + C Select one: O True O False S(8x + 2x) dx = 2x4 +x2 Select one: O True O…

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Q: A 400-lb cable is 250 feet long and hangs vertically from the top of a building. How much work is…

A: Work = Force × displacement

Q: A company has identified that the revenue R for a particular product is given by the function f(x) =…

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Q: -Ihd the x-values of all points where the function has any relative extrema. Find the value(s) of…

A: f(x)=-103x3-512x2-5x+19f'(x)=-3×103x2-51×22x-5⇒f'(x)=-10x2-51x-5f'(x)=0⇒10x2+51x+5=0By quadratic…

Q: The integral of the given function f x2 dx is (9-x2)2

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Q: 40- 4v-v dv

A: ∫xn dx =xn+1n+1+C ∫cos(ax) dx =1a sin(ax)+C

Q: Find the sum of the critical numbers of f(x) = 3x4 - 4x3 +2. %3D Answer:

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 2. f(x,y) = ye3x²+4y³

A: Given query is to find the fist order partial derivative.

Q: The sum of two numbers is 8. The product of the first number and the square of the second number is…

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Q: Jdx/(1-2x) = 1/2 In1-2x + C %3D Select one: O True O False S(8x + 2x) dx = 2x4 +x² %3D Select one:…

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Q: Find all relative extrema of the function. Use the second derivative test to determine the extrema.…

A: We will find the relative extrema and the value of f"(2) as following. The function given f(x)=x^2…

Q: (x? - 1)² dx = x$/5 - 2x/3 + x + C Select one: O True O False Jdx/(1 - 2x) = 1/2 In|1 - 2x| + C…

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Q: For what values of x is the graph of y=xe-4x concave down

A: Given  that y=xe-4xSolution :if d2ydx2<0 then concave down.

Q: (x^3)dx+(y^3)dy=0

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Q: 25х3-9 3. x*

A: topic - integration

Q: -Arctan + dx The integral of the given function S (x²+4)2 is Arctan + C 8(x²+4) 16 b. - Arctan- + а.…

A: Given:   ∫dxx2+42

Q: Find the radius of convergence about x = -2 and interval of convergence of the series Sn°(ar + 2)"…

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Q: [csc2e cot 6i – 5 cot 6 de

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Q: ompute the Riemann sum for the given function on the interval using the partition A and the given…

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Q: e*(y' – y) = 2xy?

A: Given

Q: Find the gradient of the function at the given point. f(x, y) = 2x + 5y2 + 10, (3, 4) Vf(3, 4) еBook

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Q: J6x²e?x^3+1 dx = 3e?x^3+1 + C Select one: O True O False

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Q: 2, 22, 23 567 3. Test the series +. +.

A: Topic:- sequence and series

Q: Question For the function f(x) given below, evaluate lim f(x) and lim f(x). X→ー0 2x4 +3x +2 f(x) =…

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Q: Find the gradient of the function at the given point. f(x, y) = 2x + 4y2 + 4, (1, 2) Vf(1, 2) =

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Q: a- Described the order of integration when you have a double integration.

A: Simplify the theory.

Q: Use the cylindrical shell method to calculate the volume of the solid formed by rotating the graph…

A: Cylindrical shell Method : The Volume of the solid obtained by rotating about the y-axis the region…

Q: ctangular storage container with an open top is to have a volume of 10 m3. The length of this base…

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Q: Find the maximum value of the function f(x) = x³ -9x2 + 15x - 5. Answer: Find the value of x for…

A: In order to find the critical values we need to differentiate f(x) with respect x and then equate it…