Find the area of 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…