Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0), (2, 0, 7), and (-2, -1, 2).

Q: Solve the system by graphing each equation and finding the point of intersection. -12 + 6 x + 2 y -…

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Q: Determine whether P = and Q = are orthogonal vectors. If W = and V =, compute V x W. If W = and V =,…

A: Explanation of the answer is as follows

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: Determine the maximum volume of a cylinder that can be inscribed in a sphere with radius of 10cm.…

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Q: Question Using Trigonometric Substitution, evaluate: S e4*/1+ e2xdx Your answer

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: The Maclaurin series for f(x) = x²e=* is E-o(-1)" xn+2 п! False True

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

Q: Consider the function y = 4ex + 7. What is the exact value of C in the interval [0, 5] such that…

A: We need to find value of C.

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Q: If it is continuous, there are 3 conditions needed to be satisfied: i. f(a) is defined ii. lim x→a…

A: The three criterias that you have mentioned are for a point. When we check the continuity at a…

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A: We have to find the value of the given definite integral according to the given information

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A: We will determine the value of the constant a as following.

Q: Direction: Eliminate the following arbitrary constants to obtain the DE. 4. у %3D a sin(2x + 3)

A: To form the differential equation for the given function.

Q: 7y" - 18y %D

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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: 6.(Somewhat tricky) Use an appropriate substitution to solve: (a) dy y + x dx (b) (y³ + y?x) dx – x³…

A: To solve the following differential equation

Q: Evaluate by separation of variables. dß %3D и(1 — и?) sec? р du 2 tan B+ sin 2ß = C – (1 – u?)? 2u?…

A: To solve the given differential equation.

Q: ocket accelerates by burning its onboard fuel, so its mass decreases with time. Suppose the initial…

A: We are asked to find the height of the Rocket

Q: Find the area bounded by the parabolas y^2 = 4 –x and y^2 = 4 – 4x.

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

Q: 24 = 0 oft?

A: To solve the given differential equation.

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Q: The length of a rectangle is two-fifths of the radius of a circle. The radius of the circle is equal…

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Q: In trigonometric substitution where the integral involves va? + u², what must be the value of the…

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Q: The table below shows the velocity of an object.(cm/sec) at each sec as it moves along a track for…

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Q: Consider the function f(x) = x2 - 9 (a) Find the domain of f. (Enter your answer using interval…

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 u · (v x w)| to determine…

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Q: Differentiate implicitly to find dy Then find the slope of the curve at the given point dx 8x-9y…

A: topic - implicit differentiation

Q: 11 2

A: We can solve this as follows:

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

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Q: 2. Find the equation of tangent line and normal line to 3x y3 + 2y =1 at (0.2) (15 points)

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Q: A rancher wants to fence in a rectangular area of 18000 square feet in a field and then divide the…

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Q: Integral Calculus: Integration by Parts (Original method

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = -9i + 80j - k v = 9i + j - k O…

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Q: Sx² et* dx 1 e x (8x2 - 4x + 1) + C 16 (8x2 + 4x- 1) + C e4x 16 e4x 32 (8x2-4x + 1) + C e* (8x2 + 4x…

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Q: Q2. Evaluate the integrals below by first using trigonometric identities to simplify the in-…

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

Q: 1. The Fibonacci sequence is given by the recurrence relation a, = a,-1 + a,-2; a, = 0, a, =1. Write…

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Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In V x2 + y², (6,…

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Q: Ina swimming pool measuring 90 m by 40 m, 150 men take a dip. If the average displacement of water…

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Q: In arcsin x (V1-x²)arcsin x

A: Given:     ∫lnarcsinx1-x2arcsinxdx    =∫lnarcsinx1-x2arcsinxdx substitute…

Q: Bernoulli's Equation Solve:

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Q: standard

A: As per the guidelines we can solve 3 parts only. Please repost the same for more answers.

Q: Calculate L4 for f(x) = 24 cos () %3D L4

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (10, 5, -2) Vw(10, 5, -2) =

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Q: Suppose that you have a task of measuring the lengths of a bridge and a rivet and come up with 9996…

A: True error : true value - approximation. True error in Length of bridge: 1000 - 9996= 4 cm

Q: 2. Solve the given the equation using the integrating factors found by inspection. [2х + усos(ху)jdx…

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Q: Solve bernoulli equation (dy)/(dx) - y = x * y ^ 2

A: Given problem:- Solve bernoulli equation (dy)/(dx) - y = xy2

Q: tan x dx sec x+4 cosx 5.

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Q: Find the orthogonal trajectories of the given family of curves. Draw a few representative curves of…

A: We need to find orthogonal trajectory.