Give a formula for the nth positive even integer: Here is a theorem: 1+ 2+3 + ... + n п(n+1) n = Use it to evaluate: 2 + 4 +6+ ... + 2n = Let j be even. Evaluate 2 +4 +6+ ..*+j=

Q: The one-to-one function h is defined below. 7ォー9 h(x)- %3D 4x +1 Find h(x), where h is the inverse…

A: Domain of a function y=f(x) is the set of values of x for which f(x) is defined Range of a function…

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A: We have to choose correct option.

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A: This question can be solved using the concept of maxima and minima.

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A: We have to solve above question and find the change average cost

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A: given: r(t)=-5t2+3,t2-3t,ln15

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A: Given that the volume V of a right circular cylinder is given by the formula V =(pi)r2h, where r is…

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A: h(x) is function and is not defined at x= 9.

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A: Solving

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Q: Name:Y Varner 1. Find the antiderivative of the function |4x – 2x² + x – 5 dx Jar - 20* 2. Evaluate…

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A: Given problem:- In a trend that scientists attribute, at least in part, to global warming, a certain…

Q: 1. Consider the curve C with parametric equations Sx(t) = t3 – 3t +1 lu(t) = t(t +1) defined for t e…

A: Given information:  xt = t3-3t+1yt = tt+1               , where t∈ℝ.…

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A: We want to find the volume.

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A:

Q: Gasoline is pouring into a vertical cylindrical tank of radius 5 feet. When the depth of the…

A: Volume of cylinder(V)=πr2hSubstitute r=5V=π52hV=25πhDifferentiate w.r.t 't'

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Q: Let й -, й- where A and Bare some constants. Given that ü+ 50 = find the value of the product A.B.…

A: A. B=48

Q: Vector Calculus Given, A = 2? zi – 2y32j+ x} zk. Find divA at the point (1, –1, 1).

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Q: 4. The function A(t) = 2000(1.)' represents the growth of algae in a pound after time t (in hours).…

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Q: A rectangular solid (with a square base) has a surface area of 37.5 square centimeters. Find the…

A: We are given a rectangular solid with square base whose surface area is 37.5cm2. We have to find…

Q: dy Use an appropriate technique to find dx from x? + y? = (2x² + 2y² – x)*.

A: We can solve this as follows:

Q: Find the Area bounded by: x = -y2 and x =y-2 %3D

A: This question can be solved using the concept of area bounded by two curves.

Q: Investigate the given two parameter family of functions. Assume that a and b are positive. f) =…

A: We will plug the values of a and b to do the analysis.

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A: We have to solve above question and find the change average cost

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A:

Q: Find all partial derivatives of w = x sin(yz) – z In(xy)

A: To find all the partial derivative.

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A: We can convert from polar to cartesian equation as below.

Q: Find the local linear approximation L (x) of the function f(æ) = 5 – a² at x= 2.

A:

Q: 2. Use the following partial graph of f(x) to answer the next question. f (x)' 10. The value of (f…

A: First we find f(x). Here f(x) is straight line which are passing through the point (4,0) and (0,6).…

Q: Use the polygon law of addition to draw the resultant vector ( å + b) + ở for the following yectors.

A: The given vectors are added

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Q: -4 -3 Find the eigenvalues of matrix 6. 5 A. 1 & 2 B. -1 & 2 C. 1 & - 2 D. -1 & -2 E. None

A: Let's find.

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Q: 3 -18 )x are repeated real, 11 = -3 = dz and the Given the eigenvalues for X' = (C eigenvector is K…

A: Solve the following

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Q: Find two positive numbers satisfying the given requirements. The product is 172 and the sum is a…

A: We find two positive number that product is 172 and sum is minimum.     Here i attached the solution…

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Q: 7x + 4 if x 1 |

A: Here, the given function is: f(x)=7x+4, if x&lt;-2x2+1, if -2≤x&lt;12-3x if x=11-x+x if x&gt;1 where…

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Q: Consider the parametric curve defined by x = t – 7, y = t* + 13t. What is %3D - the slope of the…

A: