Find an equation of the plane that passes through (2, –1, 5) and is parallel to the plane containing the triangle with vertices (2, 1,5), (–1, 3, 4) and (3, 0, 6).

Q: If a seed is planted, it has a 90% chance of growing into a healthy plant. If 8 seeds are planted,…

A: There is a 90% chance of growing into a healthy plant.

Q: Suppose we have the following dataset with one response to variable y and two predictor variables x,…

A: The dependent variable Y and two independent variables X1 and X2 are given as: y x1 x2 140 60…

Q: Consider the indefinite integral- dx: (x5 +2)° This can be transformed into a basic integral by…

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Q: Let (-3, 8) be a point on the terminal side of 0. Find the exact values of sin 0, csc0, and cot 0.

A: Here we use basic trigonometry to solve this

Q: Let f (x) = x²+ 4x. Find the limit lim f(4+h)-f(4) h-0 h The limit is

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Q: Graph the points on the same axes A(5,1), B(-8,3). C(0, -1), D(-2,0) GOLD Choose the correct answer…

A: This question can be solved using the concept of plotting of points in xy plane.

Q: Find a series that approximates the following, and give the radius of convergence. Show your work…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Present fcx) = sh x of its Taylor series as the sum centered at

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Q: 6. Telephone Surveys The Pew Research Center reports that they are only able to contact 76% of…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: Solve. Express your answer using interval notation. Illustrate your solution on a number line. 5x +1…

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Q: 2. Consider the curve C generated from the intersection of the Plane x+y+22=2 2 and the Paraboloid…

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Q: Given the probability density function f(x) 1 over the interval [3, 9], find the expected value, the…

A: A random variable x~Uniform(3,9)And probability density function(pdf) =f(x)=16   ; 3≤x≤9

Q: 3. A cereal box has a length of 9.2 in. and a width of 3.1 in. Find the height if the box's volume…

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Q: Let f(x) be maximum and g(x) be minimum of {x|×|, x² | × [} then

A: 9

Q: A cancer test is 97% accurate in cancer patients. But in a person who ☆ does not have cancer, it…

A: Consider the following events, C=a person has cancerC'=a person does not have cancerP=test shows…

Q: Thanks for the help.

A: According to the given information, Let R be a rectangle with corners at (a,a), (-a,a), (a,-a), and…

Q: dy (2x sin h -+3y cos h -) dx Зх cos h - 2 tan h 3 + ||

A: According to the trigonometric hyperbolic formula: tanh(x)=sinh(x)cosh(x)        ...(i) Distributive…

Q: List all possible values that could be roots of the polynomlal 4x*- 23x – 41x2 + 59x- 18 according…

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Q: A. Test each of the following equations for exactness and solve the equation. The equations that are…

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Q: If Fx) is an decreasing sang funchion, then te night hand rule is a) an overestimate b) neither c)…

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Q: Please help! Thanks

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Q: 6. A theater has rows of seats that can seat a total of 144 people. The number of rows is 7 less…

A: Solution: Let the number of seats in each row = x so, number of rows = x-7 Total seats = 144

Q: Determine an identity for cos 30 in terms of sin 0 and cos 0. 13.

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Q: Suppose p is a prime and a and k are positive integers. Prove: If plak, then pk|ak.

A: Suppose p is prime. Let a and k are positive integers. If p|ak then we need to prove that pk|ak.

Q: Determine the value of k such that x + kx? – 10x- 24 has a factor of x-3.

A: Answer is k=3

Q: The general anti-derivative of the function f (x) - In(x) is given by x In( x)+ C Inx)-x+ C x In(x)…

A: The integral (anti derivative) of fx=lnx can be evaluated by using integration by parts. The…

Q: Prove that for all natural numbers n ≥ 5, (n + 1)! > 2n+3.

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Q: Given a point P (x0, f (x0)) on the curve of a differentiable function y-f (x), the x coordinate of…

A: Consider the point Px0,f(x0) on the curve of a differentiable function y=f(x).

Q: The random variable X represents the number of cherries in a cherry puff, and has the probability…

A: Given that X is the number of cherries with the following probability…